Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer: m = 4

Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.

Answer:

The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.

Step-by-step explanation:

Answer:

fuction

Step-by-step explanation:

Answer:

1.) y= 6x+5

2.) y= -1/3x+1

Step-by-step explanation:

Slope Intercept Form is y=mx+b,

where slope is m

the y-intercept is b

So I just plugged in the slope and y-int to get the equation

Answer:

b

Step-by-step explanation:

used a calucator

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

7.2

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

We have,

[tex]y=-\dfrac{3}{4}x+7[/tex]

Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{3}{4}\times m_2=-1[/tex]

[tex]m_2=\dfrac{4}{3}[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is

[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]

[tex]y+15=\dfrac{4}{3}(x+3)[/tex]

[tex]y+15=\dfrac{4}{3}x+4[/tex]

Subtract 15 from both sides.

[tex]y=\dfrac{4}{3}x+4-15[/tex]

[tex]y=\dfrac{4}{3}x-11[/tex]

Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Answer:

y=1x-4

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1(x-5)+1

1x-5+1

y=1x-4 (y=mx+b)

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

Answer:

v=5

Step-by-step explanation:

Answer:

1 7/8

Step-by-step explanation:

dont know lol but trust me

Answer:

$1.92 a gallon!!

Step-by-step explanation:

Answer:

You will pay $1.92 per gallon.

Step-by-step explanation:

Divide 25.00 by 13 to by how much money per gallon:

[tex]25.00/13=1.923[/tex]

You cannot round up.

You will pay $1.92 per gallon.

-Hope this helps! :)

Odpowiedź:

5,075 dekagramu

Wyjaśnienie krok po kroku:

Biorąc pod uwagę, że:

Na jedną porcję gofra:

mąka pszenna = 1 szklanka

mleko = 1 szklanka

olej pszeniczny = 0,5 szklanki

Waga na filiżankę:

1 szklanka mąki = 16 gramów

Szklanka mleka = 24 g

Dziewczęta oliwy = 21,5 g

Na jedną porcję gofra:

(1 * 16 gramów) + (1 * 24 gramów) + (0,5 * 21,5 gramów)

16 gramów + 24 gramów + 10,75 gramów

= 50,75 grama

Odwołanie :

1 gram = 0,1 dekagramu

50,75 gramów = (50,75 * 0,1)

= 5,075 dekagramu

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Answer:

It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.

Hope this helps you!

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Answer:

Pretty sure its 525.74

Answer:

A

Step-by-step explanation:

quotient is answer to division problem

Answer:  A.

Step-by-step explanation:

In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

I hope this helps plz tell me if its wrong so i can fix it.

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

Answer:

3. 11

4. -8

Step-by-step explanation:

This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons

Answer:

35

Step-by-step explanation:35