Kelly’s car travels 26 1/4 miles on 5/8 gallon of gas how much Can the car go per gallon

Answers

Answer 1

42 miles kelly's car can go if 1 gallon of gas is used .

WHAT IS UNITARY METHOD ?

Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.

CALCULATION

total miles travelled = 26 1/4 miles = 26.25 miles

gas used = 5/8 = 0.625 gallon

distance car can travel in 1 gallon = 26.25 / 0.625

                                                       = 42 miles  

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Related Questions

How many days does it take Company C to produce the same number of radios as Company B produces in 6 days?

Answers

Answer:

I need a picture of the diagram to answer your question.

Step-by-step explanation:

find the value of x if RS bisects AB and RS = 36

Answers

Answer:

18 + 2y + 6 = 36

2y = 12

y = 6
step explanation:

Since RS bisects AB,

25 - 3x = 2y + 5

25 - 3x = 2(6) + 5 = 12 + 5 = 17

3x = 25 - 17 = 8

x = 8/3

Solve for x: 2/3 + 1/3=2x

Answers

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] = 2x ( combine fractions on left side )

1 = 2x ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] = x

(-2)^4÷(-4)-2(-3)(8-4)

Answers

Answer:

the answer would be 20.

Step-by-step explanation:

-

Answer:

[tex](((-2)^{4} )/(-4))-(2*(-3)*(8-4))\\[/tex] = 20

Step-by-step explanation:

breaking into 2 parts:

calculate within parenthesis: [tex](((-2)^{4} )/(-4))[/tex] = 16/(-4) = -4

calculate within parenthesis: (2*(-3)*(8-4)) = (2*(-3)*(4)) = -24

add and subtract (left to right): -4-(-24)=20

the length of a room is 4metres longer than its width.If the area of the room is 32square metres,find the length.​

Answers

Answer:

https://www.calculator.net/volume-calculator.html

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

[tex](x)(x+4) = 32\\x^2 + 4x - 32 = 0\\(x - 8)(x + 4)\\\\x - 8 = 0\\x = 8 \\\\x + 4 = 0\\x = -4\\\\x = 8 \\x = -4[/tex]

8 is the answer as in a measurement there is no negative number.

Explain how you know the
measure of angle ABC
Sentence Frame
Angle ABC =
angle ABC is
because...
degrees,
degrees
E
A
B
40°
D
C

Answers

Answer:

The answer is in the attached screenshot!!! :)

Step-by-step explanation:

Please let me know if you have any questions!!! :)

Dadas las siguientes condiciones, determina la ecuación de la recta en su forma general Ax+By+C=0.

Pasa por (−5,0) y tiene pendiente m=32.

Answers

32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.

What is slope?

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."

Let us write the given data in slope-intercept form that is

y = m(x) + b

where m = slope of the line

b = y-intercept

So substituting the values we get

0 = 32(-5) + b

-b = -160

b = 160

so we have the slope intercept form

0 = 32(-5) + 160

Converting this to General form

ax + by + c = 0

32(-5) + 0 + 160 = 0

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Translated question

Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.

It passes through (−5,0) and has slope m=32.

write the equation of the perpendicular bisector of the line segment containing the points (2,-1) and (-4,3)

Answers

Answer: y = 3x/2 + 5/2

Step-by-step explanation:

Write the slope formula m = y2 - y1                                                  

                                                x2 - X1                                                                    

 Substiue { x1 = 2

                 { x2 = -4      Into m =3 -  (-1)

                 {  y1 = -1                      -4 - 2

                { y2 = - 3                                                                                                                            

Calculate and you get m = -2/3

Slope of  the line that is perpendicular to m = -2/3 is m = 3/2

Substitute it: ( 2 - 4 -1 + 3 )

                            2          2

Calculate it 2 - 4

                       2

Simplify -2/2 and you get -1

Calculate -1 + 3

                    2

Simplify it 2/2 and you get 1

Rewrite solutions as coordinates: (-1 , 1)

Substitute     { m = 3/2

                      { x = -1

                      {y = 1

y = mx + b

Calculate 1 = 3/2 x (-1)= b and you get b = 5/2

Lastly Substitute { m = 3/2 into y = mx + b

                             { b = 5/2

Answer: y +3x/2 + 5/2

                                                                                           

what is the standard form or (4 x 1,000) + (7x 10) +(6x1) + ( 8 x 0.001)?
very urgent please

Answers

The given expression written in standard form is 4.076008 × 10³

Writing an expression in standard form

From the question, we are to simplify the given expression in standard form

The given expression is

(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)

Simplifying

(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)

(4000) + (70) + (6) + (0.008)

= 4000 + 70 + 6 + 0.008

= 4076.008

In standard form, we get

4.076008 × 10³

Hence, the given expression written in standard form is 4.076008 × 10³

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- 7 (4 - r) = 35 what's the correct answer?

Answers

Answer:

9

Step-by-step explanation:

- 7 (4 - r) = 35

First you need to do the parentheses

-7 times 4 is -28

-7 times -r is 7r

-28+7r=35

add 28 to both sides

7r=63

r=9

Answer:

r=9

Step-by-step explanation:

-28+7r=35, rearrange to put like terms together

7r=35+28, 7r=63, divide both sides by 7 to get r

r=63/7, r=9

mark me brainliest if it helped

Simplify the ratio
4 days: 2 weeks

Answers

Answer:

2 days: 1 week

Step-by-step explanation:

4 days : 2 weeks

2 2

2:1

Answer:

Step-by-step explanation:

So we Have 4 days to 2 weeks

In order to simplify this, we need to turn weeks into days

2 x 7 = 14

so 4 days to 14 days

Now we divide and fnd a common multiple

4/2 = 2

and 14/2 = 7

so, 2 days to 7 days, or 2/7

We can leave it at that, or turn it into a decimal

4/14 =0.2857

Hope this helps!^^

pls help!!! what do i dooo

Answers

Answer:

Save and exit.

Step-by-step explanation:

Just save and exit

Answer: Click the links slowly read or look over the meterials and then make your file(s)

not sure if i helped -^-

Mila buys cookies and oranges at the store.
She pays a total of $22.39.
She pays a total of $6.58 for the cookies.
She buys 3 bags of oranges that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of oranges costs.

Answers

The equation that can be used to represent the cost of oranges and cookies is; 6.58 + 3x = 22.39. Thus, the cost of each bag of orange is x = $5.27

How to Solve Algebra Word Problems?

We are given;

Total Amount paid by Mila = $22.39.

Amount Mila paid for cookies = $6.58

Now, we are told that she also buys three bags of oranges. Now, if we denote the cost of each bag of orange to be x, then it means that;

Cost of 3 bags of oranges = $3x

Thus, we can write the equation to represent the cost of oranges and cookies as;

6.58 + 3x = 22.39

Subtract 6.58 from both sides to get;

3x = 22.39 - 6.58

3x = 15.81

x = 15.81/3

x = 5.27

Thus, the cost of each bag of orange is x = $5.27

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Among a town’s registered voters, there are 34% Democrats and 25% Republicans. The rest are Independents. If there are 1517 registered Independent voters in this town, how many total registered voters are there?

Answers

The total number of registered voters is 3700.

What is the total number of registered voters?

Percentage can be described as the fraction of a number expressed as an amount out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.

The first step is to determine the percentage of independent voters.

Percentage of independent voters : 100 - (percent of democrats + percent of republicans)

100 - (34% + 25%)

100- 59% = 41%

Total number of voters = number of independent voters / percentage of independent voters

1517 / 41%

1517 / 0.41 = 3,700

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Find the sum, difference, product, or quotient
1.29 + 35
2.90 - 34
Estimate the sum, difference, product, or quotient.
5.284 - 48
6. 147 X 5
7. 1004 +678
Find the value of the power.
9. 102
10. 73
quo tient.
3. 32 X 18
Evaluate the expression.
13. 9 + 7 X 4
16. Phone Card Your phone card h
14. 27 ÷ 3² + 5
11. 26
4. 124 ÷ 8
8. 163 4
12. 105
15. 3 x (327)

Answers

Answer:

................................

Write algebraic expressions for two numbers with a sum of -13. Let one of the numbers be represented by x. If one number is represented by​ x, how would the other number be ​represented?

Answers

Answer:

If a sum of 2 numbers is -7 and one is x then you can write it down as X + Y = -7, or you can write it then ... Let one of the number be represented by x.


State whether sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
The sum of two vectors is the ₋resultant .

Answers

Given statement 'The sum of two vectors is the resultant.' is True.

We know that in mathematics, a vector is a quantity that has both magnitude and direction but no position.

Examples : velocity, force and acceleration.

Also, the resultant vector is the vector sum of two or more vectors. We find the resultant vectors by  adding two or more vectors together. Any two vectors can be added if and only if they are the same vector quantity.

For vector P = [tex]a\vec i+b\vec j[/tex] and vector Q = [tex]m\vec i+n\vec j[/tex]

The resultant vector R would be,

R = P + Q

R = [tex](a+m)\vec i+(b+n)\vec j[/tex]

Therefore, given  statement 'The sum of two vectors is the resultant.' is True.

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Solve each system by substitution. Check your answers.
y = 2x - 1 , 3x - y = -1

Answers

By substitution, the solution of the system of equations, y = 2x - 1 and 3x - y = -1, is (-2 , -5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

y = 2x - 1     (equation 1)

3x - y = -1     (equation 2)

Since the first equation is already expressed in y in terms of x, substitute the value of y to the second equation.

3x - y = -1     (equation 2)

3x - (2x - 1) = -1

3x - 2x + 1 = -1

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

3x - 2x + 1 = -1

3x - 2x = -1 - 1

x = -2

Substitute the value of x in the first equation.

y = 2x - 1     (equation 1)

y = 2(-2) - 1

y = -4 - 1

y = -5

Hence, the solution of the given system of equations is (-2 , -5).

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Find the equation of a line that passes through the point (2,3) and has a gradient
of 1/3
Leave your answer in the form y=mx+c

Answers

Answer: y=4x/3 + 1/3

Step-by-step explanation:

y=mx+c

**Substitute already known variables**

3=2m+1/3=

(3=2m+1/3)*3=      ==> Multiply the equation by 3 to get rid of fractions

9=6m+1

6m=8

m=8/6

m=4/3

y=4x/3 + 1/3


The ratio of 12.9 is equal to the ratio of 1/3 to
A. 1/4
B. 1
C. 5/4
D. 2
E. 4

Answers

The ratio of 12:9 is equal to the ratio of 1/3 to 1/4.

As given in the question,

Given ratio is equal to 12:9

Simplify the given ratio by factorizing it :

12 : 9 = 12 / 9

⇒12 : 9 =  ( 4 × 3 ) /  ( 3 × 3)

⇒ 12 : 9 = 4 / 3

⇒ 12 : 9 = 1 / 3 × 4 / 1

⇒ 12 : 9 = 1 /3 to 1/ 4

Therefore, the ratio of 12 : 9 is equal to the ratio of 1/3 to 1/4.

The complete question is:

The ratio of 12:9 is equal to the ratio of 1/3 to

A. 1/4

B. 1

C. 5/4

D. 2

E. 4

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

Answers

The function which represents the frog population after x years will be F(x) = [tex]1200 * (0.97)^{x}[/tex]

The population is decreasing at an average rate of 3% per year.

For decrease in population, if the rate is decreasing per year is r%, the initial population is P, after time x the equation to use would be:

net decrease = [tex]P * (\frac{100 - r}{100})^{x}[/tex]

r = Reduction

x = time duration

P = 1200

Reduction rate = 100 - 3 = 97%

Reduction rate will be 97% i.e. 0.97

Reduction after one year = 1200 * 0.97

Reduction after two years = 1200 * 0.97 *0.97

                                            = 1200 * (0.97)²

Reduction rate after three years = 1200 * 0.97 * 0.97 * 0.97

                                                      = 1200 * (0.97)³

therefore,

Reduction rate after x years =  [tex]1200 * (0.97)^{x}[/tex]

The function representing the frog population after x years is F(x) =    [tex]1200 * (0.97)^{x}[/tex]

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Determine whether each sequence is arithmetic or geometric. Then identify the common difference or common ratio. 3/32, 3/16, 3/8, 3/4, 3/2, 3,6, . . . .

Answers

The sequence 3/32, 3/16, 3/8, 3/4, 3/2, 3,6, ... is a geometric sequence with common ratio 2.

To determine whether the sequence is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.

If it is an arithmetic sequence, then:

  a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric sequence, then:

  a(n) = a(n-1) . r

where r is the common ratio.

The given sequence is:

     3/32, 3/16, 3/8, 3/4, 3/2, 3,6, . . . .

Notice that

a(2) : a(1) = 3/16 : 3/32 = 2

a(3) : a(2) = 3/8 : 3/16 = 2

and so on

Since the ratio of consecutive terms are constant, then the given sequence is a geometric sequence. Furthermore, its ratio, r = 2

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State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.

Combining a coin toss and a roll of a die makes a simple event.

Answers

False , Combining a coin toss and a roll of a die makes a simple event.

In statistics, what does a probability mean?

The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

False , Combining a coin toss and a roll of a die makes a simple event.

A true statement is​ "For data at the interval​ level, you CAN calculate meaningful differences between data​ entries."

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Peter pays 6% interest on his $30,000 college loan and 7% interest on his $12,000 car loan.

What average interest rate does he pay on the total $42,000 he owes?

Round your answer to the nearest tenth of a percent.

Answers

Answer:

12,000 for college 7.5,000 in car whe he pays around 20k for that

Find the equation of a line that passes through the point (3,-1) and has a
gradient of 1/3
Leave your answer in the form y=mx + c

Answers

Answer: y=-4x/9 + 1/3

Step-by-step explanation:

y=mx + c

**Substitute known variables into the equation**

-1=3m + 1/3

(-1=3m + 1/3)*3      ==> Multiply equation by 3 to get rid of fractions

-3=9m+1

9m=-4

m=-4/9

y=-4x/9 + 1/3

A- x = 4, PQ = 8, QR = 13
B- x = 5, PQ = 10, QR = 11
C- x = 4, PQ = 12, QR = 9
D- x = 4, PQ = 10, QR = 11

Answers

Check out the attached photo

Which if the following is the correct graph for the solution of the unequal -8 >= -5x + 2 > -38

Answers

2nd graph show the solution to the inequality of -8 ≥ -5x + 2 > -38

Step-by-step explanation:

Given that

The function

          -8 ≥ -5x + 2 > -38

To find

We have to choose correct graph for the solution of the inequality.

So, according to the question

we have,

The function

          -8 ≥ -5x + 2 > -38

For finding the solution of this function let's solve it on two part,

First part

          -8 ≥ -5x + 2,    and

Second part

          -5x + 2 > -38

For solution of first part ,

          -8 ≥ -5x + 2,

Add (-2) both side

We will get,

          -8 +(-2)  ≥ -5x + 2 +(-2)

          -8 -2  ≥ -5x + 2 -2

            -10  ≥ -5x

            10  ≥ 5x

Divide 5 both side,

We will get,

            [tex]\frac{5x}{5} \ge \frac{10}{5}[/tex]

             x ≥ 2

Now, for solution of second part,

          -5x + 2 > -38

Add (-2) both side

We will get,

          -5x + 2 +(-2) > -38+(-2)

          -5x + 2 -2 > -38 -2

                   -5x  > -40

                   40  > 5x

Divide 5 both side,

               5x/5  < 40/5

               x  < 8

So, the solution of given function,

            2 ≤ x < 8

Answer:

2nd graph show the solution to the inequality of -8 ≥ -5x + 2 > -38.

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Answer to part c please

Answers

Answer:

X=least=30

Y=greatest=40


Simplify the expression.
8-17 / 12-(-3)

Answers

The simplified expression is -3/5.

To simplify the given expression in question, we will solve it step wise. Firstly we will simplify the numerator by performing operation according to the sign. Similar approach will be repeated for the denominator. Then we will write it in fraction form to find the simplified form of expression.

Numerator -

Numerator = 8 - 17

Here subtraction of large number is required form small number, so the result will be subtracted value with negative sign

Numerator = -9

Denominator -

Denominator = 12 - (-3)

Here two negative signs are present, so, we will perform addition and the result will be with positive sign

Denominator = 12 + 3

Denominator = 15

Writing the fraction form -

Expression = -9/15

Dividing the expression by 3

Expression = -3/5

Hence, the simplified expression is -3/5.

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(c) 759 TA 50% P to 67° SA Rx° R

Question in the image​

Answers

Answer:

x = 56

Step-by-step explanation:

assuming you require to find the value of x

the sum of the exterior angles of a polygon = 360°

sum the 6 exterior angles and equate to 360

x + x + x + 67 + 50 + 75 = 360

3x + 192 = 360 ( subtract 192 from both sides )

3x = 168 ( divide both sides by 3 )

x = 56

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