Fuel from PDV pump A costs four dollars per gallon and from PDV pump B costs two dollars per gallon. Mark has at most $24 to spend on fuel. Write and graph the system of linear inequalities.

Answer:

Question 1. 1/2 hour

Question 2. 1/6

Question 3. 5/12 eggs

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

Answer:

Step-by-step explanation:

Evaluate the expression:

When a= −15 and b=−5

Substitute values:

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

In case the expression is b²/a + 5, the value is:

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Answer:

In the third month, Becca walks 7 dogs.

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

Answer:

1. Median

2. Point of Concurrency

3. Centroid

4. Incenter

5. Concurrent Lines

6. Circumcenter

7. Altitude

8. Orthocenter  

9. Vertices

(I'm not sure if the entirety of the vocabulary words are accurate, but they make sense.)

Answer:

It should take him 1.75 minutes to complete 20 multiplication facts, which is the same thing as 1 minute and 45 seconds, or 105 seconds.

Step-by-step explanation:

a. If it takes him one minute to complete 20 multiplication facts, that's 3 seconds per question, because 60/20 = 3.

b. Multiply 3 x 35 questions to get 105 seconds.

c. Divide 105 seconds by 60 seconds (60 in a minute) to get 1.75 minutes, which is the same thing as 105 seconds.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)

Answer:

The answer is 1.75 minutes :)

Step-by-step explanation:

I used my calculator to figure this one out.

Answer:

3053.63m³

Step-by-step explanation:

use a calculator, not brainly

Answer:

Its in quadrant 3rd

Step-by-step explanation:

it goes

2  l  1

____

3  l  4

For the quadrants.

Answer:

Step-by-step explanation:

if Abble buy pizzas for 60 dollars

60/12=5

he can buy 5 pizzas

p=5

Answer:

4 : 2: 1

Step-by-step explanation:

[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]

Answer:

16.67%

Step-by-step explanation:

TIP = $18 - $15 = $3

Percentage of tip=  [tex]\frac{tip}{total amount spent}[/tex] x 100

= [tex]\frac{3}{18}[/tex] x 100 = 16.67%

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

[tex]c^2=a^2+b^2[/tex]

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

[tex]10^2=9^2+x^2[/tex]

Solving for x:

[tex]x^2=10^2-9^2[/tex]

[tex]x^2=100-81=19[/tex]

[tex]x=\sqrt{19}=4.4[/tex]

Kristen's house is 4.4 miles away from her school

Answer:

1 book = 41 dollars.

Step-by-step explanation:

If you divide your whole by your part, then you will get how much 1 book is.

how i did it:

246 divided by 6 = 41.

1 book = 41 dollars

Answer:

trol c(:

Step-by-step explanation:

XD

Answer:

17.60 X 30 =528

17.60 x 2 = 35.20

35.20 X 12= 422.40

528+422.40= 950.40

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.

area = πr²

where

The area of the shaded portion is the difference of the area of the large and small circle.

Therefore,

area of the large circle = πr²

area of the large circle = 3.14 × 24²

area of the large circle = 3.14 × 576

area of the large circle = 1808.64 m²

Therefore,

area of the small circle = 3.14 × 6²

area of the small circle = 3.14 × 36

area of the small circle = 113.04 m²

The area of the shaded region  = 1808.64 - 113.04 = 1695.6 m²

learn more on area here: https://brainly.com/question/16761235

Answer: 1072.8 cm³

Step-by-step explanation:

The volume of a hemisphere: 2/3πr³

Radius = 8 cm

2/3 × 22/7 × 8³

2/3 × 22/7 × 512 = 1072.761

1072.761 ≈ 1072.8

The volume of this hemisphere is 1072.8 cm³

Hope this helped!

Answer:

10.46

Step-by-step explanation:

Let the Number of additional pair = x

Ware house A :

855 + 92x - - - (1)

Warehouse B:

Initial cost per pair before 9

= 810 / 9 = $90

Additional 7% for pairs after 9

1.07 * 90 = 96.3

810 + 96.3x - - - (2)

810 + 96.3x = 855+ 92x

96.3x - 92x = 855 - 810

4.3x = 45

x = 45 / 4.3

x = 10.46

Additional pair be 10.46

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

Answer:

=0

Step-by-step explanation:

Solution:

3x+3/5 = 0

3•x+3/5 = 0

15x = -3

x = -1/

5

= -0.2

c

Step-by-step explanation:

because th x value of 9 will determine rhe shape of s

Answer:u 2

Step-by-step explanation: