The average speed must you maintain in the remaining distance in order to have an overall average speed of 33.6 mph is 50.39 mph.
We have to find the average speed must you maintain in the remaining distance in order to have an overall average speed of 33.6 mph.
Let the speed be x.
The total average we want = 33.6 mph
The distance from your home to town = 90 miles
Time = Distance/Speed
Time = 90/33.6
At 45 miles (half way), you find you have averaged only 25.2 mph. So
Time first leg = 45/25.2
Time second leg= 45/x
Now the average speed;
45/25.2 + 45/x = 90/33.6
Subtract 45/25.2 on both side, we get
45/x = 90/33.6 - 45/25.2
After solving the ratio, we get
45/x = 0.893
Multiply by x on both side, we get
0.893x = 45
Divide by 0.893 on both side, we get
x = 45/0.893
x = 50.39 mph
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The complete question is:
On a drive from your home to town, you wish to average 33.6 mph. The distance from your home to town is 90 miles. However, at 45 miles (half way), you find you have averaged only 25.2 mph. What average speed must you maintain in the remaining distance in order to have an overall average speed of 33.6 mph?
Daniel mows lawns on the weekends. He graphed his earnings below.
What is the rate he charges to mow?
A.
$11.50 per lawn
B.
$13.00 per lawn
C.
$30.00 per lawn
D.
$7.50 per lawn
Answer:
where's the graph?
Step-by-step explanation:
A restaurant manager recorded the number of people who attended her food festival and their favorite food items. She then created the following bar chart:
Bar chart with Title Favorite Food Item and x-axis labeled Food with values of Pasta, Pizza, Burgers, and Tacos and y-axis labeled Number of People with values 0 to 70. Pasta bar going up to 20, Pizza bar going up to 40, Burgers bar going up to 60, Tacos bar going up to 50.
Which of the following statements best compares the heights of the bars of the bar chart?
There are twice as many people in the Taco group as in the Pasta group.
There are 3 times as many people in the Burgers group as in the Pasta group.
There are more people in the Burgers group than in the Pasta and Tacos combined.
There are more people in the Tacos group than in the Pasta and Pizza groups combined.
A statement which best compares the heights of the bars of the bar chart include the following: B. There are 3 times as many people in the Burgers group as in the Pasta group.
How to determine the true statement?In order to better understand and compare number of people who attended her food festival and their favorite food items, we would take note of the following important information;
Pasta bar going up to 20.Pizza bar going up to 40.Burgers bar going up to 60.Tacos bar going up to 50.Based on the information provided above, we can reasonably and logically deduce that the rectangular bar representing Burgers bar with a numerical value of 60 is three times as tall as the rectangular bar representing Pasta bar with a numerical value of 20.
Burgers bar = 20 × 3
Burgers bar = 60 people.
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Answer: B. There are 3 times as many people in the Burgers group as in the Pasta group.
Step-by-step explanation: <3
which of the following describes an exact number? a. you ran two miles. b. the house has four bedrooms. c. there is one gram of salt in this beaker. d. you drank one liter of water. e. the little dog weighs 10 kilograms.
The choices that describe an exact number are option b, option c, option d, and option e because they show a definite countable quantity with 100% accuracy.
The following options describe an exact number:
b. The house has four bedrooms.
c. There is one gram of salt in this beaker.
d. You drank one liter of water.
e. The little dog weighs 10 kilograms.
These numbers are exact because they are specific measurements that are not subject to uncertainty. They are countable and defined. While "you ran two miles" or "you drank one liter of water" could be approximate measurements.
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Translate the following into math expression: " 3 more than a number is 5 less than double this number ."
Answer:
3 + n = 2n - 5
Step-by-step explanation:
let 'n' equal 'a number'
'more than' implies 'addition', so 3 + n
'is' in math implies 'equals', so 3 + n =
'double the number' means to multiply it by 2
'less than' implies 'subtraction'
So final result is:
3 + n = 2n - 5
Examine the following scales.
The correct reading to all possible significant figures is:
The sum of the two given is 7.867.
When expressed in scientific notation, the number of significant figures equals the number of digits. Significant figures are the numbers that give any measurement meaning.
The decimal point is marked by leading zeros. They don't matter much. After the decimal point, a trailing zero is reliably known. It is important. In a whole number, every non-zero number has importance.
You must keep in mind these three guidelines in order to ascertain how many significant figures are present in a number.
Digits that are not zero are always important.Any zeros in the range of two significant digits are noteworthy.ONLY the following zeros in the decimal part matter.If you add 4.667 g and 3.2 g,
the answer has 4 significant figures.
The sum of the two given is 7.867.
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The full question:
If you add 4.667 g and 3.2 g how many significant figures does the answer have
the area of four walls of room is 90m if the rom is 7 m long and 2m wide , then find the height of the room
The height of the room is 5 m.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length = 7 m
Width = 2 m
Height = x
Four walls of a room will have,
Two walls of length x height.
Two walls of Width x height.
Now,
Area four walls of the room = 90 m
2 (length x height) + 2 (Width x height) = 90
2 (7x) + 2 (2x) = 90
14x + 4x = 90
18x = 90
x = 5
Thus,
Height of the room = 5 m.
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How do you do modeling addition and subtraction of mixed numbers?
To add or subtract mixed numbers, first add or subtract the integer (whole number) portions of the mixed numbers, then add or subtract the fractional portions of the mixed numbers. Reduce the fractional portion of the answer to its lowest terms and combine it with the integer portion of the answer to get the final answer.
1. To add mixed numbers, first add the integer (whole number) portions of the two mixed numbers together. The result is the integer portion of your answer.
2. Next, add the fractional portions of the two mixed numbers together. If the fractional parts of the two mixed numbers have different denominators, you'll need to convert them to have the same denominator.
3. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.
4. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.
5. To subtract mixed numbers, first convert the fractional portion of the subtrahend (the number being subtracted) to an equivalent fraction with the same denominator as the minuend (the number being subtracted from).
6. Subtract the integer portions of the two mixed numbers. The result is the integer portion of your answer.
7. Subtract the fractional portions of the two mixed numbers. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.
8. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.
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Part C: Suppose Union City Bakery sells 3 batches of muffins for $10. 0. Palisade Bakery sells 20 muffins for $6. 25. Which bakery has the better buy? Show
work and explain your reasoning.

Palisade Bakery is a better buy than Union City Bakery.
To determine which bakery has the better buy, we need to calculate the cost per muffin at each bakery. It is determined by dividing the total cost by total number of muffins. Assuming one batch has ten muffin as not mentioned.
Union City Bakery: $10.00 / 3 batches = $3.33 per batch (approx)
= $3.33/ 10
= $0.33 per muffin
Palisade Bakery: $6.25 / 20 muffins = $0.31 per muffin
Based on this calculation, Palisade Bakery has the better buy as each muffin costs $0.31, which is cheaper than the cost per muffin at Union City Bakery, which is approximately $0.33 per muffin.
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−9(5 − 6x)
answers:
A 45 − 54x45 − 54x
B −45 − 54x−45 − 54x
C 45 + 54x45 + 54x
D −45 + 54x
Answer:
[D] -45 + 54x
Step-by-step explanation:
Base on the given we can use the distributive property to solve this:
Distributive property ⇒ Multiply outside numbers with each term inside the parenthesis.
-9 (5 - 6 x ) → {-9 × 5 = -45 } {-9 × -6x = 54x}
Now let's put it together;
-45 + 54x
Hence, [D] -45 + 54x is the correct answer.
RevyBreeze
Please help
Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (SD) from the ship to the shore. He walks 130 ft along the
shore from point D to point C and marks that spot. Then he walks 23 ft further and
marks point B. He turns 90° and walks until his location (point A), point C, and point
S are collinear
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why
not?
(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship
from the shore? Explain.
As per the triangles ABC and SDC are similar triangles then Gilligan can conclude that triangles ABC and SDC are similar and Gilligan can conclude that the distance of the ship from the shore is 509 feet.
The term called triangle in math is defined as a three-sided polygon, which has three vertices
Here from the question we understand points S, C and A are collinear, here we have know that line AB and SD are vertical and parallel lines at the either sides of point C.
So we can conclude that triangles ABC and SDC are similar.
The distance from the ship is calculated as,
=> SD: 130 = AB: 23
Here we have to substitute 90 for AB, then we get,
=> SD: 130 = 90: 23
When write it as,
=>SD/130 = 90/23
When we simplify this then we get Gilligan can conclude that the distance of the ship from the shore is 509 ft
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Look at the stem-and-leaf plot. What is the range of the numbers? Stem Leaf 1 0, 2, 2 2 2, 3, 4 3 0,5 Key 10-10 OA) 5 B) 21 OC) 25 OD) 35
For the given stem and leaf plot, the range of data is option C: 25.
What is stem and leaf plot?
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
The stem and leaf plot for data is given.
The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.
From the stem and leaf plot the maximum value obtained is = 35
From the stem and leaf plot the minimum value obtained is = 10
The range is then calculated as -
Range = Maximum value - Minimum value
Range = 35 - 10
Range = 25
Therefore, the range is 25.
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If f(x)=2x^3+6x^2+18x-26f(x)=2x
3
+6x
2
+18x−26 and x-1x−1 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
Upon factorization, The factors of the equation be x = 1, x = -2 + 3i, x = -2 - 3i and x = 1.
What does "factorizing method" mean?In mathematics, factorization or factoring is the process of breaking down one entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication produces the original number, matrix, etc.
Factorization is the process of shrinking the bracket of a quadratic equation, as opposed to widening the bracket and turning the equation into a product of factors that cannot be further reduced.
To solve a quadratic equation by factoring, factor the expression, set each factor equal to 0, and then solve each equation. To accomplish this, set up the terms in the equation so that the other side equals 0.
Let the given equation be f(x) = 2x³ + 6x² + 18 x - 26 and x - 1 then
2x³ + 6x² + 18x - 26 = 0
Factor 2x³ +6x² +18x-26: 2(x-1) (x²+4x+13)
2(x-1) (x²+4x+13) = 0
Using the Zero Factor Principle: If ab=0 then a=0 or b=0, x-1=0 or
Solve - 1=0:
x = 1
Solve x² + 4x + 13 = 0: x² + 3i, x = - 2 - 3i
The solutions are
x = 1, x = -2+31, x = -2 - 31
The given equation be x - 1,
x-1= 0 then x = 1.
Therefore, the factors of the equation be x = 1, x = -2 + 3i, x = -2 - 3i and x = 1.
The complete question is:
If f(x) = 2x²+6x²+18x-26 and x-1 is a factor of f(x), then find all of the zeros of f(x) algebraically.
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solve 3x≤-5/4 as a inequality
Answer:
Inequality Form:
x ≤ −5/12
Interval Notation:
(−∞, −5/12]
Step-by-step explanation:
the weights (in pounds) of three adult males are 160, 215, and 195. what is the standard error of the mean for these data?
The standard error of the mean for these data is 13.14 pounds..
The standard error of the mean (SEM) is a measure of the variability of the sample mean. It is calculated as the standard deviation of the sample divided by the square root of the sample size.
To find the SEM for the given data, we first need to calculate the sample mean:
(160 + 215 + 195) / 3 = 190
Then we need to calculate the deviation of each value from the mean:
160 - 190 = -30
215 - 190 = 25
195 - 190= 5
Next, we need to square these deviations:
(-30)² = 900
25² = 625
5² = 25
Next, we need to calculate the variance:
(900 + 625 + 25) / 3 = 516 2/3
Then we need to calculate the standard deviation:
√(516 2/3) = 22.73
Finally, we can calculate the standard error of the mean:
22.73 / √(3) = 13.14
So, the standard error of the mean for these data is 13.14 pounds.
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The constant of the polynomial function f(x)=-(x+3(x+7)²(x-1)⁵(x+1)⁷(x-4) is
Answer:
The constant of a polynomial function is the coefficient of the term with the highest degree (the term with the highest power of x), which in this case is 0. Therefore, the constant of the polynomial function f(x)=-(x+3(x+7)²(x-1)⁵(x+1)⁷(x-4) is 0.
A sari-sari store sells two types of detergent powder. One type(a) cost php 9. 00 and the other type(b) cost php 7. 0. They want to raise at least php 180. 00 for detergents. How many pieces of each detergent must be sold to achieve her goal?
Sari-sari store must sell 20 pieces of type (a) detergent and 26 pieces of type (b) detergent to raise at least php 180.00.
Determine the number of pieces of type (a) detergent.
9.00 x x = 180.00
Divide both sides by 9.00:
x = 20 pieces
Determine the number of pieces of type (b) detergent.
7.00 x y = 180.00
Divide both sides by 7.00:
y = 25.71
Since we cannot sell partial pieces, the number of pieces of type (b) detergent must be rounded up to 26 pieces.
Therefore, the sari-sari store must sell 20 pieces of type (a) detergent and 26 pieces of type (b) detergent to raise at least php 180.00.
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{BRAINLIEST} Skillbuilder Applet Exercise simulates taking a sample of size 10 from a population of 100 college students. Take a sample of size 10.
a. What is the population?
b. Is the population finite or infinite?
c. Name two parameters and give their values.
d. What is the sample?
e. Name the two corresponding statistics and give their values.
f. Take another sample of size 10.Which of the items above remain fixed and which changed?
Answer:
a. The population is 100 college students.
b. The population is finite.
c. Two parameters and their values:
The total population size: 100
The sample size: 10
d. The sample is a group of 10 college students chosen from the population of 100.
e. Two corresponding statistics and their values:
The sample proportion: This is the proportion of individuals in the sample who have a certain characteristic (e.g. majoring in a certain subject). It is calculated by taking the number of individuals with the characteristic and dividing by the sample size. Its value would be different for each sample of size 10 taken.
The sample mean: This is the average of the measurements for the individuals in the sample. It is calculated by summing up the measurements and dividing by the sample size. Its value would be different for each sample of size 10 taken.
f. When another sample of size 10 is taken, the population and its size remains fixed but sample proportion and sample mean would change.
Step-by-step explanation:
Given the scatter plot, choose the function that best fits the data.
f(x) = 2^x
f(x) = 2x
f(x) = −2x
f(x) = 2x^2
The given scatter plot depicts the exponential function. Therefore, option 1 f(x) = 2ˣ is the correct one.
A scatter plot is a particular kind of graphic diagram that uses Cartesian coordinates to show the values of two variables for a collection of data.
We write y as the function of x as y=f(x). Here, f is considered the name of the function and x is the value of the function. To check which function depicts the given scatter plot, we have to substitute the values for x and find the function. Then, plot the graph.
By doing we get, the plot for f(x) = 2ˣ is equivalent to the given scatter plot. Because this graph depicts the exponential function where the graph passes through the point (0,1). Therefore, option 1 correctly depicts the given plot. Option 2 depicts the identity function and 4 depicts squaring or quadratic function.
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a fishing boat accidentally spills 15 barrels of diesel oil into the ocean. each barrel contains 42 gallons. if the oil film on the ocean is 2.5 x 102 nm thick, how much area in square meters will the oil slick cover? assume 1 gal
The area in square meters will the oil slick cover is 9.5×10⁶ m².
15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:
The total volume of the oil spilt by 15 barrels = 15× 42 gallons.
=630 gallons
1 gallon = 3.78541 liters
Volume in L = 630 gallons × 3.78541 liters/ 1 gallon
= 2384.8083 L
1 L = 10⁻³ m³
2384.8083 L = 2384.8083 × 10⁻³ m³
= 2.3848083 m³
The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.
1 nm = 10⁻⁹ m
Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m
= 2.5×10⁻⁷ m
Area (m²) = volume (m³)/thickness (m)
= 2.3848083 m³/ 2.5×10⁻⁷ m
= 0.95392×10⁷ m²
= 9.5×10⁶ m²
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4% of what number is 77
Answer:
1935
Step-by-step explanation:
Step 1: If 4% of a number is 77, then what is 100% of that number? Setup the equation.
77
4% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
4Y = 77 x 100
4Y = 7700
Y = 7700
100 = 1,925
shota is a dangerous fellow who likes to go rock climbing in active volcanoes. one time, when he was 30 3030 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. he climbed up at a constant rate. after 4.5 4.54, point, 5 seconds, he was 7.5 7.57, point, 5 meters below the edge of the volcano. how fast did shota climb? meters per second in total, how long did it take shota to reach the edge of the volcano? seconds
The speed at which Shola climbed is 5 m/s and the time taken by Shola to reach the edge is 6 seconds.
According to the question
Given:
The total distance traveled by Shola = 30 meters
He covered a total distance of 22.5 meters (i.e. 30 meters - 7.5 meters) in 4.5 seconds.
His speed is thus 5 m/s since speed is equal to both distance and time.
Since he has 7.5 meters to cover, the remaining distance,
Therefore, the time it took him to travel the distance was 7.5/5, or 1.5 seconds.
Consequently, the total amount of time needed to go 30 meters,
T=4.5+1.5=6, or one second.
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Answer:
Step-by-step explanation:
Just use a calculator
The non separable differential equation dy/dx=8x-2y has a linear particular solution of the form y = mx + b. Find m+b
The linear specific solution of the form [tex]y= mx + b[/tex] where [tex]m + b = 4- 2 = 2[/tex]
Differential equation that cannot be separated:
Non-separable differential equations are those that are incapable of being written as- [tex]\frac{dy}{dx} = f(x) g(y)[/tex]
In other words, the differential equations that cannot be separated are referred to as non-separable differential equations.Differential equations with non-separable variables are those in which the variables cannot be separated. These equations are difficult to solve and call for techniques that will be covered in upcoming courses, such as numerical or analytical approaches.
Given is the equation,
[tex]\frac{dy}{dx} = 8x - 2y[/tex]
[tex]y = 4x - 2 + ex^{-2x}[/tex]
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The width of a rectangle is 8.25t-6.5 feet and its length is 6.5t+10 feet. Find the perimeter of the rectangle.
The perimeter of the rectangle is (29.5t+7)feet
What is perimeter of a rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
To find the perimeter of the rectangle we add a the sides together i.e
p = l+l+w+w
p = 2(l+w)
p =2 ( 8.25t - 6.5+ 6.5t + 10)
p = 2( 14.75t + 3.5)
p = (29.5t + 7) feet
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3/4 + 1/3 what is it
Answer:
[tex] \frac{3}{4} + \frac{1}{3} \\ \frac{ \: \: 9 \: \: + \: \: 4 \: \: }{12} \\ \frac{13}{12} [/tex]
Given that it takes an employee
about 14 seconds to lift, close, fill,and shelve a jar of peanut butter,calculate how many jars the employee can complete in 1 hour.
A. About 257 jars
C. About 300 jars
B. About 240 jars
D. About 840 jars
The solution is, A. About 257 jars, the employee can complete in 1 hour.
Here, we have,
given that,
Given that it takes an employee about 14 seconds to lift, close, fill, and shelve a jar of peanut butter,
To calculate this, you would take the number of seconds in an hour
(60 seconds/minute * 60 minutes/hour = 3600 seconds)
and divide it by the number of seconds it takes to complete one jar
(14 seconds/jar).
3600 seconds / 14 seconds/jar
= 257 jars/hour.
so, About 257 jars, the employee can complete in 1 hour.
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Select one or more expressions that together represent all solutions to the equation. Your answer should be in degrees.
Assume
�
nn is any integer.
7
cos
(
9
�
)
−
1
=
1
7cos(9x)−1=17, cosine, left parenthesis, 9, x, right parenthesis, minus, 1, equals, 1
The trigonometric equation 7cos(9x) - 1 = 17 has an undefined solution.
How to solve the trigonometric equation?The trigonometric equation for this problem is defined as follows:
7cos(9x) - 1 = 17
Isolating the cosine, we have that:
7cos(9x) = 18
cos(9x) = 18/7
Now we isolate x applying the arc cosine, which is the inverse of the cosine, as follows:
9x = arccos(18/7)
9x = undefined.
The solution is undefined because the arccosine only exists for values between -1 and 1, as the cosine of an angle is always going to assume a value between -1 and 1.
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A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $91 and a standard deviation of $8. If the distribution can be considered mound-shaped and symmetric, what percentage of homes will have a monthly utility bill of more than $83?
Answer:
Using a standard normal distribution table, we can find that the percentage of homes that have a monthly utility bill of more than $83 is approximately 13.6%.
Step-by-step explanation:
If the distribution of the monthly utility bill for gas or electric energy can be considered mound-shaped and symmetric, we can use the standard normal distribution table to find the percentage of homes that have a monthly utility bill of more than $83.
To use the standard normal distribution table, we need to standardize the variable by subtracting the mean and dividing by the standard deviation:
(83 - 91) / 8 = -0.875
This means that a monthly utility bill of $83 is 0.875 standard deviations below the mean.
Using a standard normal distribution table, we can find that the percentage of homes that have a monthly utility bill of more than $83 is approximately 13.6%.
math math math
math maths math
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Ali starts working on an annual salary of $20 000. His contract will give him an increase of $120 every 6 months. If he keeps working for 15 years, how much will Ali earn?
Answer: 23,600
Step-by-step explanation: 120x2 = 240, 240x15 = 3600. 20,000 + 3600 = 23,600
A rectangle has dimensions of x + 3 and x - 4. Find the area and the perimeter.
Step-by-step explanation:
The area of a rectangle is given by the formula:
Area = length * width
In this case, the length of the rectangle is given by x + 3 and the width is given by x - 4.
Therefore, the area of the rectangle is:
Area = (x + 3) * (x - 4)
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
In this case, the length of the rectangle is given by x + 3 and the width is given by x - 4.
Therefore, the perimeter of the rectangle is:
Perimeter = 2 * ((x + 3) + (x - 4)) = 2x - 2
So the area of the rectangle is (x + 3)(x - 4) and the perimeter is 2x - 2.
give me brainlist
Answer: Area= x^2-x-12 , Perimeter = 4x-2
Step-by-step explanation: According to the question,
Length = x+3
Breadth = x-4
Area of a rectangle = Length * breadth
Area = (x+3)(x-4)
Area = x^2-x-12
Perimeter of rectangle = 2*(length+ breadth)
Perimeter = 2* (x+3+x-4)
= 2*(2x-1)
= 4x-2
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