The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?
To solve this problem you will need this tool, it is the formula of speed :
speed = distance/time
(I suggest you to remember this one for life, it is a really useful one)
Let's check how long that Jackie nice dude will take to finish the race...
Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.
Let's write what we already know to solve this puzzle :
6 = d / 2.1
Where d is that unknown distance.. So we are in front of an equation here let's solve it :
d / 2.1 = 6
d = 6 * 2.1
d = 12.6 miles
Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...
We already know his speed... and since we have the distance, we write :
4 = 12.6 / t
Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :
4t = 12.6 (we multiplied t on each side of the equation)
t = 12.6 / 4
t = 3.15
Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours
Good Luck
i need answer please
If anyone could plz help ill really appreciate it
Answer:
Help with what is it mental help? Or no cause I’ve dealt with that a lot
Step-by-step explanation:
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
Option B is correct.
Step-by-step explanation:
Our expression is:
n² + 26n + 88Let's check all of our options to see if any option is accurate.
Option A:
(n + 8)(n + 11)
=> n² + 11n + 8n + 88
=> n² + 19n + 88
n² + 19n + 88 ≠ n² + 26n + 88
Option B:
(n + 4)(n + 22)
=> n² + 22n + 4n + 88
=> n² + 26n + 88
=> n² + 26n + 88 = n² + 26n + 88 ✔
Option C:
(n + 4)(n + 24)
=> n² + 24n + 4n + 96
=> n² + 28n + 96
=> n² + 28n + 96 ≠ n² + 26n + 88
Option D:
(n + 8)(n + 18)
=> n² + 18n + 8n + 144
=> n² + 26n + 144
=> n² + 26n + 144 ≠ n² + 26n + 88
Conclusion:
So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped
Answer:
B
Step-by-step explanation:
edge 22'
In Joe's fish tank, there are 5 goldfish and 12 snails. How does the ratio 5:17 describe Joe's fish
tank?
Choose the correct answer below.
O A. The ratio 5:17 compares the number of snails to the number of goldfish.
OB. The ratio 5:17 compares the number of snails to the total number of animals.
OC. The ratio 5:17 compares the number of goldfish to the total number of animals.
OD. The ratio 5:17 compares the number of goldfish to the number of snails.
Answer:
OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has
The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
Answer:
a. Use two sets of coordinates to write an equation to describe the relationship.
m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]
y = 8x
b. Interpret the equation in words.
Each roller coaster car holds 8 passengers.
Help with this and explain please
Answer:
Step-by-step explanation:
-6x + y = -6 Add 6x to both sides
y = 6x - 6 So the slope of the new line is 6
The point the new line has to go through is (-4,0) That will determine b.
y = 6x - 6
x = - 4
y = 0
0 = 6*(-4) + b Combine
0 = - 24 + b add 24 to both sides
24 = b
Answer: y = 6x + 24
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.
MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?
Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
Identify the sampling method used:
A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.
Using sampling concepts, it is found that a Stratified sample was used.
Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.
A similar problem is given at https://brainly.com/question/23106151
an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
Answer:
a = 80 shares of stock A
b =120 shares of stock B
Step-by-step explanation:
Solved by creating a system of equations
Let a be number of shares of stock A
B number of shares of stock B
a + b = 200
9.5a + 27b = 4000
Solving the two equation
a = 80 shares of stock A
b =120 shares of stock B
There are 549 coins in a bottle.
1/3 of the coins are £1 coins.
164 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the 549 coins in pounds (£).
Answer:
12,423 i think
1/3 is 183
164x50=8200
549-347=202
202x20=4040
183+8200+4040=12423
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
Describe in words the following expressions.
2x + 15
5y - 12
Answer:
2x+15 = Two times some value of fifteen
pls help meeeeeeeeeeeeeeeeeeeeeee
Answer:
wow
Step-by-step explanation:
please help!!
Rebecca is playing her favorite video game starlight the space Explorer on the 1st level she earned 3 energy points and 8 stars on the 2nd level she earned 2 energy points and 5 stars did Rebecca earn the same ratio of energy points to stars of both levels
yes or no?
Answer:
Hey there! The answer's 'no' :)
Step-by-step explanation:
"On the first level, she earned 3 energy points and 8 stars."
The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.
"On the second level, she earned 2 energy points and 5 stars."
The ratio here is 2:5. We also can't simplify this.
By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
Evaluate or Simplify: (5^2 × 6^2/(30)^4)^3
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
DO THE MATH
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)
1. The house sold for $250,000.
2. The house stayed on the market for an average of 250 days before being sold.
3. This is the average number of days the house stayed on the market before being sold for $250,000.
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:
1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)
2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)
3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)
This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
I hope I've helped! :)
Answer:
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
Which expression below is equivalent?
A. 7x+x+8=16x
B. x+x+1+1=2x+2
C. 5(x+3)=5x+5
D. 9x−18=9(x+2)
Lets look at each one:
A. 7x+x+8=16x
This left side will be 8x + 8, so its wrong.
B. x+x+1+1=2x+2
This left side will be 2x + 2, it is right!
C. 5(x+3)=5x+5
This left side will be 5x+15, so its wrong.
D. 9x−18=9(x+2)
This left side will be 9(x-2), so its wrong.
Our answer is going to be B) x+x+1+1=2x+2
x + x = 2x
1 + 1 = 2
2x + 2
I hope this helps! :)
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
sum the parts of the ratio, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answer:
the answer is -2
Step-by-step explanation:
-2........
candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.
How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
The mean number of red (1.75) is 0.5 less than the mean number of purple.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.
Jenny randomly opened 12 of the fun-size packs of candies from a bag.
The mean number of reds will be
[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]
The mean number of purples will be
[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]
The mean number of red (1.75) is 0.5 less than the mean number of purple.
More about the mean link is given below.
https://brainly.com/question/521501
Can someone help me with this question will mark brainliest.
Answer:
A:use SAS to show triangle PRQ is congruent to triangle SR.P
Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?
you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator
Answer:
3, 6, 7, 9
Step-by-step explanation:
We can take a look at each value from 1 to 10
We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.
Please help I do not understand
Answer:
-3/7
Step-by-step explanation:
Hi,
First of all, we know that the slope is not undefine because both the x-coordinates are not the same.
To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.
Josef and Mai divided some stamps between themselves. Josef got 60% of the stamps. If Josef received 500 more stamps than Mai, how many stamps did Josef receive?
The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps
let
x = total number of stamps
Josef share = 60% of x
= 0.60 × x
= 0.60x
Mai = 40% of x
= 0.40x
Josef = 0.40x + 500
Total = Josef + Mai
x = (0.40 + 500) + 0.40x
x = 0.40x + 500 + 0.40x
x = 0.80x + 500
x - 0.80x = 500
0.20x = 500
x = 500/0.20
x = 2,500
Josef share = 60% of x
= 60/100 × 2,500
= 0.60 × 2,500
= 1,500 stamps
Therefore, the total number of stamps shared between Josef and Mai is 2,500
Read more:
https://brainly.com/question/16450098