The Henry family drove 276.5 miles on the family vacation. They used 7.9 gallons of gas. How many miles per gallon of gas did they get on the trip?

Answer:

z=44

Step-by-step explanation:

One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.

360-84-84-52-52=88

=88/2

=44

So z=44°

[tex] \begin{cases} y = 4x - 9 \\ y = x - 3 \end{cases}[/tex]

We can combine both equations

[tex]4x - 9 = x - 3[/tex]

Solve the equation.

[tex]4x - x = 9 - 3 \\ 3x = 6 \\ x = \frac{6}{3} \longrightarrow \frac{2}{1} \\ x = 2[/tex]

Then we substitute the value of x in any given equations which I will be substituting in the second equation

[tex]y = x - 3 \\ y = 2 - 3 \\ y = - 1[/tex]

Therefore, from x = 2 and y = -1, the solution is (2,-1)

Answer Check

Substitute the value of x and y in both equations.

First Equatio

[tex]y = 4x - 9 \\ - 1 = 4(2) - 9 \\ - 1 = 8 - 9 \\ - 1 = - 1[/tex]

Second Equation

[tex]y = x - 3 \\ - 1 = 2 - 3 \\ - 1 = - 1[/tex]

Both equations are true for (2,-1).

[tex] \begin{cases} x = 2 \\ y = - 1 \end{cases} \\ \sf \underline{coordinate} \\ (2,-1)[/tex]

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 4x - 9 → (1)

y = x - 3 → (2)

Substitute y = 4x - 9 into (2)

4x - 9 = x - 3 ( subtract x from both sides )

3x - 9 = - 3 ( add 9 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting into (2)

y = 2 - 3 = - 1

solution is (2, - 1 )

Answer:

6-2=3

Step-by-step explanation:

5234.9

Answer:

x = 9

Step-by-step explanation:

3.1= -5.9+x

x - 5.9 = 3.1

x - 5.9 + 5.9 = 3.1 + 5.9

x = 9

Answer:

the y-intercept is 48; as for the other two questions I need to see your options before I can tell you the answer  

Step-by-step explanation:

Answer:

x<-3

Step-by-step explanation:

First we multiply by 4. We will get: -16x-12>36

Then we add 12 to both sides. We'll get -16x>48

Then we divide by -16. 48 divided by -16 is -3.

x<-3.

Answer:

x<-3

Step-by-step explanation:

Hope this helps :)

4(-4x-3)>36

Divide

-4x-3>36/4

Simplify

-4x-3>9

add 3 to each side

-4x>9+3

Simplify

-4x>12

Divide

x<-12/4

Simplify

x<-3

Answer:

A & E are correct. I have the same question as you.

Step-by-step explanation:

Just trust me its a and e

Answer:

0.083

Step-by-step explanation:

I think

Answer:

12.2304

Step-by-step explanation:

What is 56 percent (calculated percentage %) of number 21.84? Answer: 12.2304.

Answer:

V = 125.6

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

V = πr²h

V = 3.14(8/2)²(2.5)

V = 3.14(4)²(2.5)

V = 3.14(16)(2.5)

V = (50.24)(2.5)

V = 125.6

Answer:

125.6

Step-by-step explanation:

πr^2 h = π·4^2 * 2.5≈ 125.66371

Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

Answer:

Step-by-step explanation:

Negative x Negative is Positive. Positive x Negative is Negative. Positive x Positive is Positive.

Hope it helps!

Answer: Yes Y=x+2 is a linear function.

When solving two step equations you must solve one part of the equation so that you can solve the second part.

In one step equations you can just solve the equation as is.

Answer:

A one step equation needs one step, and a two step equation needs two steps.

Step-by-step explanation:

Answer:

2.5 righttttt?????I veeeerrrry sure it is

Answer:

a

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 12 , then

A = [tex]\frac{1}{2}[/tex] × 9 × 12 = [tex]\frac{1}{2}[/tex] × 108 = 54 cm²

Answer:

i think that it would be A.

Step-by-step explanation:

Answer:

angle = 50

x = 6

Step-by-step explanation:

solution for angle:

180-(70+60) = 50

solution for x:

8x+2=50 (subtract 2 from both sides)

8x=48 (divide both sides by 8)

x=6

6.007,6.07,6.5,6.5062

Hope it is useful

Answer:

6.007, 6.5, 6.5062, 6.07

Step-by-step explanation:

Hope this helps :)) plz mark brainliest :))

Answer:

1. complementary angles

2. vertical angles

i am not sure about question 3. 4. 5

3.

4.

5- (not sure)

6. c

Step-by-step explanation:

Answer: 37

Step-by-step explanation:

12^2 + 35^2 = x

144+ 1225 = x

1369

Take the square root

37

Answer:

x=11

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

Triangles always add up to 180 degrees

IMPORTANT THIGNS TO REMEMBER:

ANSWER:

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

EXPLANATION:

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

Answer:

A w=V/ lh

b) 8cm

Step-by-step explanation:

w=V/ lh

w= 120/(3×5)

w= 120/15 = 8cm

Answer:

125.6 inches

Step-by-step explanation:

Diameter (d) = 40 inches

circumference (c)

= π * d

= 3.14 * 40

= 125.6 inches

Hope it will help :)

Answer:

125.6

Step-by-step explanation:

diameter= 40

40 x π = 125.6

40 x 3.14 = 125.6

Answer:

36.25%

Step-by-step explanation:

400 - 255 = 145

145/400 = 0.3625

0.3625 = 36.25%

Answer:

36.25%

Step-by-step explanation:

(400-255)/400=145/400=0.3625=36.25%

Answer:

1) 6:9 (9 cups of flour)

2) y = 11

Step-by-step explanation:

i did the math :)

Answer:9 cups of flour and y=11

Step-by-step explanation:

ez

Answer:

Step-by-step explanation:

(1/2)(m)(n) - 5(p)

This is an expression, not an equation.

Answer:

The answer is 12 of the students will bring lunches

Step-by-step explanation:

To find the total students divide:

32 divided by 8 = 4

Then,

4 X 3 = 12