Answer:
The distance covered by the car in 12 gallons of fuel is 630 miles.
Step-by-step explanation:
Distance covered by car in 4 gallons of fuel = 210 miles.
Let us use unitary method to find distance covered by car in 1 gallon of fuel.
Distance covered by car in 1 gallon of fuel = 210/4 miles.
Let us use unitary method to find distance covered by car in 12 gallon of fuel.
Distance covered by car in 12 gallons of fuel = (210/4)*12 = 630 miles.
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25
b. 2
c. 3
d. 1
Answer:
[tex]a = 1[/tex]
Step-by-step explanation:
Given
[tex]4x - 3(x + a) = 2[/tex]
[tex]x = 5[/tex]
Required
Determine the value of a
[tex]4x - 3(x + a) = 2[/tex]
Substitute 5 for x
[tex]4(5) - 3(5 + a) = 2[/tex]
Open all brackets
[tex]20 - 15 - 3a = 2[/tex]
[tex]5 - 3a = 2[/tex]
Collect Like Terms
[tex]-3a = 2 - 5[/tex]
[tex]-3a = -3[/tex]
Solve for a
[tex]a = -3/-3[/tex]
[tex]a = 1[/tex]
Please help!!!!!!!! What is the measure of angle 4?
Answer:
30°
Step-by-step explanation:
<4=<2=30
(vertical opposite angles are equal)
Answer:
30 degrees
Step-by-step explanation:
Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.
What volume,in cubic inches,is equivalent to 15 cubic feet?
Answer: 1 feet = 12 inches
1 cubic feet = 12^3 = 1728 cubic inches
15 cubic feet = (15)(1728) = 25,920 cubic inches
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
Oak Grove and Salem are 78 km from
each other. How far apart would the cities
be on a map that has a scale of 1 cm: 13
km?
Answer:
690 km will take it.for good condition
Step-by-step explanation:
mark me BRAINLIEST
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinner with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.
Answer:
CORRECT OPTION is (C) The flight will be late on one of the three days.
Step-by-step explanation:
The 7am flight from Dallas to Chicago is on time 75% of the time.
A spinner with four sections was created by Fran to simulate this scenario.
Since the 4 sections were equal, it means each section was 25% of the spinner.
3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.
This coincides with the 75% probability that the flight is on time on a given day.
In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.
Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:
- Shaded - Shaded - Unshaded
CORRECT OPTION is (C) The flight will be late on one of the three days.
Answer:
C
Step-by-step explanation:
I did the test
What is (-2,-2) and (-10,-9) on slope
Answer:
y=7/8x
Step-by-step explanation:
You use y2-y1/x2-x1 so we plug in the numbers into the equation
-9-(-2)/-10-(-2)=7/8
y=7/8x if in slope-intercept form
Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
Question 3: Determine the missing base in the equation problem below. 75eight = 23 base
Answer:
29
Step-by-step explanation:
Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:
[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]
Hence the missing base is 29
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
Learn more about LCM here:
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Which sentence can represent the inequality
please hurry I need this fast
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
To know more about line segments:
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Given a central angle of 252° and an arc length of 44 ft, determine the radius.
Answer:
10ft
Step-by-step explanation:
Given parameters:
Central angle = 252°
Arc length = 44ft
Unknown:
Radius = ?
Solution:
To find the radius of the circle, let us use the expression;
Arc length = [tex]\frac{central angle}{360}[/tex] x 2πr
Insert the parameters and solve for r,
44 = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r
44 = 4.4r
r = 10ft
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answer:
$50
Step-by-step explanation:
HURRY ILL GIVE 10 BRAINLY POINTS
What is 1 times 300
Answer:
300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
300 x 1 = 300
1 x 300 = 300
HELP PLEASE:(( I will give brainliest
Answer:
15
Step-by-step explanation:
Find the slope of the line
Answer:
0
Step-by-step explanation:
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Answer:
0.625
Step-by-step explanation:
15 divided by 24 which equals 0.625
Andy was at Level –1 and took the elevator to Level 21. How many levels did the elevator move upward?
Answer: 22 Levels
Step-by-step explanation: He would need to go one level higher just to get to level one, and another 21 to get to the level that he wants to, so the total would be 22 levels.
Answer:
The elevator moved up 21 levels
Please help me and answer ASAP !! I’ll mark brainliest.
Answer:
7 miles! hope this helps. :)
Step-by-step explanation:
Answer:
The answer is 69
Step-by-step explanation:
If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book
25×1/23=1.08695652174.
25+1.08695652174=26.08695652174
A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the value of the mean thickness required to make the probability of exceeding 101 less than 8%.
Answer:
The probability of thickness exceeding 101 is 0.4483.
Step-by-step explanation:
Let X denote the thickness of the part manufactured by plastic injection molding.
Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.
Compute the probability of thickness exceeding 101 as follows:
[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]
[tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]
Thus, the probability of thickness exceeding 101 is 0.4483.
Written as a rate 210 miles in 6 hours would be miles per hour
Answer:
35 mph
Step-by-step explanation:
210/6=35
Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2
Answer:
x=11/2
Step-by-step explanation:
Which expression is equivalent to - 3/4 divided (-8/12)
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
Please consider Brainliest
The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric
Answer:
a geometric series
Step-by-step explanation:
1 quart= 4cups=1.96, Each cup coat?
Answer:
Step-by-step explanation:
Sorry but please give detailed question