Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.

Answer:

3. y = 4

4. y = 40

Step-by-step explanation:

3. To find y, input the value of 2 for x in the equation y = 3x - 2.

y = 3(2) - 2

y = 6 - 2

y = 4

y is 4 when x is 2.

4. To find the answer we first have to make an equation in y=mx + b form, where b is the y-intercept and m is the slope. We know that the y-intercept is -5 because the table tells us that when x is zero, y is -5. So, we can use the y-intercept and a point In this example I will use point (6, 13)) to find the slope:

Input the values you know into the equation:

13 = 6m - 5

Add 5 to both sides to isolate the 6m:

18 = 6m

Divide both sides by 6 to isolate the m:

3 = m

Our slope is 3. Now that we know the slope and y-intercept, we can make our equation:

y = 3x - 5

We can use this equation to find y when x is 15:

Input 15 in place of x:

y = 3(15) - 5

Solve:

y = 45 -5

y = 40

When x is 15, y is 40.

Hope this helps :)

Answer:

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Step-by-step explanation:

We will consider number = x

1. Half of a number is added to four. This sum is equivalent to negative one.

[tex]\frac{1}{2}x+4=-1[/tex]

Now solving to find value of x

[tex]\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10[/tex]

So, value of x=-10

2. The sum of a number and three is divided by five. The result is negative two.

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

Solving:

[tex]\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13[/tex]

So, value of x=-13

3. The difference between four times a number and five has a result of negative eight.

[tex]4x-5=-8[/tex]

Solving:

[tex]4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25[/tex]

So, value of x=3.25

4. The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen.

[tex](x-5)*-2=-14[/tex]

Solving

[tex](x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12[/tex]

So, value of x=12

5. The sum of a number and two is equal to the quotient of six and negative four.

[tex]x+2=\frac{6}{-4}[/tex]

Solving:

[tex]x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5[/tex]

So, value of x=-3.5

Now arranging based on values of x

x=-10, x=-13, x=3.25, x=12, x=-3.5

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Step-by-step explanation:

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

have a wonderful day

Parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

A quadrilateral is a four-sided polygon, having four edges and four corners.

The given figure PQRS is a quadrilateral.

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.

A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.

A rhombus is a quadrilateral whose four sides all have the same length.

The figure satisfies the properties of parallelogram, rectangle and rhombus.

Hence, parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

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11 is the value of the square

Answer:

It's not similar :)

hope this helps<3

The triangles are not similar because the sides are not proportional.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

So we know that length of sides are proportional.

If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.

We have only the length of two sides of each triangle.

If those sides are proportional, we must have an angle of each triangle to be equal.

Here, the angles formed by the intersecting lines are vertical angles and are thus equal.

Let's look if the sides are proportional.

20 / 36 = 5/9

24 / 42 = 4/7

Sides are not proportional.

Hence the given triangles are not similar.

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Answer:

20

Step-by-step explanation:

10x3=30

5x-2=-10

10x0=0

30-10=20

20 points

Answer:

the y intercept is (0, 3)

Step-by-step explanation:

y = mx + c

where m is the slope and c is the y-intercept

[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]

[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]

[tex]m = \frac{10}{-5}[/tex]

[tex]m = -2[/tex]

hence, y = -2x + c

input a pair of values, in this case i will use (2, -1)

-1 = -2(2) + c

-1 = -4 + c

-1 + 4 = c

3 = c

Answer:

3y/2 - 3z/8 is the answer

Answer:

Step-by-step explanation:

Answer:

Student tickets 38 and adult tickets 65

Step-by-step explanation:

38x7= $266

65x9.5= $617.50

$266+$617.50=$883.50

Answer:

The measure of angle 5 is 102°

1/4 cinnamon was left, so 3/4 was used.

1/3 nutmeg was left, so 2/3 was used

1/2 of ginger was left so 1/2 was left

5/8 of pumpkin was left so 3/8 was used.

Corey's was used the most, 3/4 is the largest used, so Corey had the cinnamon.

Laura's was used least, 3/8 is the smallest amount so Laura had the pumpkin.

2/3 is more then 1/2, so there was more ginger used than nutmeg.

More of Paige's was used, so Paige had the ginger.

Answer:

C

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

By looking at the points for (x,y) in the tables, we notice that the only graph that has the points at (-1,-3), (1,2) and you can assume the other points will be on the graph from the table.

Answer:

x=-2

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

It would be B

Step-by-step explanation:

Answer:

Step-by-step explanation:

4

Answer:

1 1/4

Step-by-step explanation:

I got it right.

The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Charlotte makes crepes using 5/8 cups of milk for every 1/2 cup of flour.

She wants to know the amount of milk used per cup of flour. Then we have

⇒ (5/8) ÷ (1/2)

⇒ (5 / 8) x (2 / 1)

⇒ 5 / 4 cups of milk per cup of flour

The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.

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Answer:

6

Step-by-step explanation:

3(1)=3       3(2)=6          3(3)=9      3(4)=12     3(5)=15

3(6)=18     3(7)=21         3(8)=24

----------------------------------------------------

3(6)=18 is closest to 20

so the greatest number of batches Xiaoming can make is 6.

Answer:

if you decrease 10 kg by 10% you get 9 kg

The value after the decrease in 10% is 9 kg

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 total amount be A = 10 kg

Now , the percentage decrease in value = 10 %

So , the equation will be

The amount after decrease =
Total amount - ( percentage decrease in value x total amount )

And , the equation is

The amount after decrease = 10 - ( 10/100 ) x 10

                                              = 10 - 0.1 x 10

                                              = 10 - 1

The amount after decrease = 9 kg

Therefore , the value is 9 kg after decrease in 10 %

Hence , The value after the decrease in 10% is 9 kg

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Answer:

0.32x + 60= y

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50

this is the same as 50(0.80)

Answer:

p=x+y

Step-by-step explanation:

Answer:

p=x+y

Step-by-step explanation:

that is the answer

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

Answer:

x = 25 ; m∠A = 148°

Step-by-step explanation:

∠A ≅ ∠B (alternate exterior angles)

(6x - 2)° = (4x + 48)°

2x = 50

x = 25

m∠A = 6(25) - 2 = 148°

Answer:

[tex]c=\frac{ab-d}{a}[/tex]

Therefore, the option 'c' is true

Step-by-step explanation:

Given the expression

[tex]a (b - c) = d[/tex]

Let's solve for c

[tex]a (b - c) = d[/tex]

Step 1: Add -ab to both sides

[tex]ab-ac+\left(-ab\right)=d+\left(-ab\right)[/tex]

[tex]-ac=-ab+d[/tex]

Step 2: Divide both sides by -a

[tex]\frac{-ac}{-a}=\frac{-ab+d}{-a}[/tex]

[tex]c=\frac{ab-d}{a}[/tex]

Hence, we conclude that:

[tex]c=\frac{ab-d}{a}[/tex]

Therefore, the option 'c' is true

Answer:

C) c=ad-d/a

Step-by-step explanation:

just took the test

Answer:

The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.

3,100.00 = 29x + 90

3,100.00 - 90 = 29x

3,010.00 = 29x

3,010.00/29 = 29x/29

x = 103 guests