Pablo's family began their trip with a full tank of gas in their car. They drove 384.1 miles and
stopped to fill their tank back up with gas. It took 14.2 gallons of gas to fill up their tank.
About how many miles per gallon of gasoline did they average on their trip?

Answer:

b

Step-by-step explanation:

Answer:

B)  57

Step-by-step explanation:

since BD ≅ BC then ∡C = ∡D

6x-9 = 3x + 24

subtract 3x from each side to get:

3x-9 = 24

add 9 to each side to get:

3x = 33

divide each side by 3 to get:

x = 11

substitute 11 into 'x' in 3x + 24 to get:

3(11) + 24 = 33+24 = 57

check:

substitute 11 into 'x' in 6x - 9 to get:

6(11) - 9 = 66 - 9 = 57

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

Answer:

rational

Step-by-step explanation:

a is the answer

Answer:

7/32 = 3/16

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

x/32=3/16

Simplifying:

+ 0.03125x=3/16

Simplifying:

+ 0.03125x=0.1875

We move all terms containing x to the left and all other terms to the right.

+ 0.03125x=0.1875

We simplify left and right side of the equation.

+ 0.03125x=0.1875

We divide both sides of the equation by 0.03125 to get x

Step-by-step explanation:

Indicating Precision of Measurements:

Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005

Answer:

Width = 10 feet, Length = 25 feet

Step-by-step explanation:

the width is x

the length is 3x-5

so, 2(x+(3x-5))=70 is the equation

2(x+3x-5)=70

2x+6x-10=70

8x-10=70

8x=10

x=10.

Width = 10 feet

Length = 25 feet

Answer:

15.4 is right ans

Step-by-step explanation:

using this formula θ ×(22÷7÷180)×r

Answer:

I'm not sure 710

Step-by-step explanation:

I'm not sure

Answer:

#14

y=5

x=14

Step-by-step explanation:

I did 14 for you

the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.

Answer: The actual distance is 68 miles.

Step-by-step explanation:

Answer:

2 gallons

Step-by-step explanation:

Cost of 1 ticket = $ 90

Cost of 60 tickets = ?

Cost of 60 tickets = 90 × 60 = $ 5400.

Answer:

5,400

Step-by-step explanation:

well, if they're sixty tickets and each cost approx. $90, which means it's 60 x 90, and that gets to 5,400.

Answer:

45

Step-by-step explanation:

45 = 3*3*5

180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4

also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?

check: lcf of 12 and 45 is 3,

the lcm of 12 and 45 is ...

12 = 2*2*3

45 = 3*3*5

so we need: 2*2*3*3*5 = 180

Answer:

yes by SAS

it is Side angle Side

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 21.

Step 4: Check if solution is correct.

Therefore, x = 8.

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

Answer:

$27.75

Step-by-step explanation:

Multiply $2.25 by 11 to get the answer

Step-by-step explanation:

He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-

11 x 2.75 = 30.25

Which means he made $30.25

Answer:

The answer is : Rational

Answer:

[tex]y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0[/tex]

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

Answer:

gimmie my points boi

Step-by-step explanation:

eiurfh4iewurhfwo8rho

Answer:

84 cm²

Step-by-step explanation:

Area triangle = 1/2(b x h)

Area = 1/2(21 x 8)

Area = 1/2(168)

Area = 84

84 cm²

-Chetan K

$43.95

Step-by-step explanation:

If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79

Answer:

$26.37

Step-by-step explanation:

Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?

If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag

It's time to add!!

8.79 + 8.79 + 8.79=               ANSWER:   $26.37

In Stacking! :)

 8.79

+8.79

 8.79

______

26.37

HOPE THIS HELPS YOU! :)

Answer: 9/15 < 10/15

Step-by-step explanation: 9/15 < 10/15

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

Answer:

4

Step-by-step explanation:

2 to the power of 4 is the same as 2×2×2×2.

That is also the same as 4×4, which equals 16.

Answer:

4

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5