The gas in Dads car holds 12 gallons. Athe gas tank in Moms truck holds 50% more than that. How much gas does the truck's tank hold? Explain why this situation can be represented by the equation. Make sure that you explain what t represents.

Answer: x = 15

Step-by-step explanation:

same thing. here's my work:

4x - 5 = 3x + 10

4x - 5 (+ 5) = 3x + 10 (+ 5)

4x = 3x + 15

4x (- 3x) = 3x (- 3x) + 15

x = 15

c

you need to find the slope and then y intercept

m=y2-y1/x2-x1

so m=2

now y intercept

3=2(4)+b

solve for b

u get -5

therefore

y=2x-5

Answer: i think it would be D

Step-by-step explanation:

Answer:

KL = 10

Step-by-step explanation:

Point K is on line segment \overline{JL} JL . Given

JK=2x−2

JL=2x+8

KL=x-9

JL = JK + KL

Hence:

2x + 8 = 2x - 2 + x - 9

2x + 8 = 2x + x - 2 -9

2x + 8 = 3x - 11

Collect like terms

3x - 2x = 8 + 11

x = 19

We are to find the numerical length of KL

KL = x - 9

KL = 19 - 9

KL = 10

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Answer:

39.25 cm

Step-by-step explanation:

The formula for a circle is pi x radius x radius.

So to get the radius, you multiply 10 and 1/2.  You should get 5.  Then you multiply 5 by 5.  You should get 25.

Then you multiply 3.14 and 25.  You should get 78.5.

The last step is to divide 2 by 78.5. You should get 39.25

Answer:

39.25 cm

Step-by-step explanation:

A = 3.14 x r^2 / 2

if the diameter is 10 then the radius is 5

A = 3.14 x 5^2 / 2

A = 3.14 x 25 / 2

A = 78.5 / 2

A = 39.25

23 days would pass by and they would both go to the laundromat on the 24th day.

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

To learn more about equation click :

https://brainly.com/question/19297665

#SPJ2

Answer:

noice, i could never draw like that, it's really good

Answer:

n  <  − 90

Step-by-step explanation:

hope this helps and have a great day!

Answer:

4

Step-by-step explanation:

z = [tex]\frac{6}{15}[/tex] × 10

  = 4

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

Answer: the value is 13

Step-by-step explanation:

we simply substitute the letter for the number 4.

4^2 - 3

16 - 3

13

Answer:

13

Step-by-step explanation:

Answer:

AC is 7 feet Because it is just a foot above AB

Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

One must not divide by 0, so given function doesn't exis if the denominator is equal 0

x + 2 = 0  

x = - 2  

Answer:

2,3,4, and 6

Step-by-step explanation:

All of these answers are factors of 24. 2 times 12 is 24, 3 times 8 is 24, and 4 times 6 is 24. Therefore, 24 is divisible by these 4 numbers.

Answer:

[tex]y=\frac{47}{14}[/tex]

Step-by-step explanation:

Given

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Required

Solve for y

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Open brackets

[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]

Collect Like Terms

[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]

Take L.C.M

[tex]7y=\frac{50-10+7}{2}[/tex]

[tex]7y=\frac{47}{2}[/tex]

Divide both sides by 7

[tex]y=\frac{47}{2*7}[/tex]

[tex]y=\frac{47}{14}[/tex]

Answer:

14: 700

Step-by-step explanation:

First you must ad or multiply each part of your ratio multiple times.

This was the next number in the ratio outlook.

I multiplied 7x2

Then 350x2

which got me the ratio 14:700

Answer:

y = [tex]-\frac{5}{3}[/tex] x + 5

Step-by-step explanation:

Solve an equation for a variable mean to leave that variable on one side of that equation by itself.

5x + 3y = 15

5x + 3y - 5x = 15 - 5x

3y = - 5x + 15

[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]

y = [tex]-\frac{5}{3}[/tex] x + 5

Answer:A,C,E

Step-by-step explanation:I took the quiz

Answer:

its right ACE

Step-by-step explanation:

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft