The Garcia family has two cars. Last week, the first car consumed 30 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1,250 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What was the fuel efficiency of each of the cars last week?

Answers

Answer 1

Answer:

25 and 20 milies/gallons

Step-by-step explanation:

Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.

Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.

Since we also know that 1250 is the total distance traveled then

30 f + 25 s = 1250    (1)

Moreover we know that the efficiency is 45 miles/gallon. Hence

f + s  = 45

Multiply by 30 we have

30 f  + 30 s = 1350   (2)

Subtract the (1) equation from (2) we have

5s = 100

s = 20

f + 20 =45

f = 25

So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.


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hey rohit are you there

what is community​

Answers

Answer:

A community is a social unit (a group of living things) with commonality such as norms, religion, values, customs, or identity. pls Mark me branilest

Find the area of trapezium whose parallel side are 10 and 12 cm. And height is 7 cm

Answers

Answer:

77 cm²

Step-by-step explanation:

We know that

Area of trapezium = ½ (a + b) × h

Area = ½ × (10 + 12) × 7

Area = ½ × 22 × 7

Area = 11 × 7

Area = 77 cm²

Given :

Length of parallel sides = 10 cm and 12 cm

Height = 7 cm

What To Find :

Area of trapezium

Formula Using :

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (a \: + \: b) \: \times \:Height }}}}}\end{gathered}[/tex]

Where ,

a and b is Parallel sides

Solution :

[tex] \begin{cases} \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: (10 \: + \: 12) \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{2} \: \times \: 22\: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{22} \: ^{11} \: \times \:7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:11 \: \times \: 7 \\ \\ \large\bf\purple{ \implies} \rm \:Area \: of \: trapezium \: = \:77 \: {cm}^{2} \end{cases}[/tex]

How can you use the prime factorization to find the other factor pairs of 36

Answers

Answer:

Step-by-step explanation:

We can write 36 as a product of prime factors: 36 = 2² × 3². The expression 2² × 3² is said to be the prime factorization of 36

An elephant is as strong as how many horses?

Answers

Answer:

4 horses

Step-by-step explanation:

The answer would be four horses

Evaluate the expression 3(7 + 4)^2 − 14 ÷ 7

-An explanation on how to find the answer would be amazing!

Answers

use PEMDAS.
1. multiply the 7 and the 4 by 3
2. square the 12 to get 144
3.multiply 144 by -14
4. divide -2016 by 7
5.subtract 288 from 21 (if you subtract 21 from 288 you get 267 so put +- in front for both answers :) )

HELP THIS IS DUE TODAY HW LESSON 1.3.3 1-99

Answers

Answer:

This should be all of them

Step-by-step explanation:

What do you mean by Factoring Polynomial?
a. a technique that is based on the property
b. to express or expressing a polynomial as a product
c. breaking down a structure into its fundamental prime factors
d. expressing a product of two other natural numbers

Answers

Step-by-step explanation:

Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. For example, f ( x ) = x 2 + 5 x + 6 f(x) = x^2 + 5x + 6

HELP QUICK PLSSSSSS Distribute 8(4+x)

Answers

the answer for your question is 32+8x
8(4+x)
32+8x is the answer

Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below
A)Simplify the expression

B) identify the terms , factors , coefficients and constants of the simpler expressions
Terms
Factors
Coefficients
Constants
Please I’ll mark you as a brainliest

Answers

Answer:

  A) 2x^2 -12x +13

  B) terms {2x^2, -12x, 13}; coefficients {2, -12, 13}; constants {13}

Step-by-step explanation:

A) Using the distributive property, we get ...

  -2x +3 +2x^2 -10x +10

  = 2x^2 -12x +13

__

B) Terms: {2x^2, -12x, 13}

  Factors: There are no overall factors. Each term has factors ...

     2x^2 has factors {2, x, x}

     -12x has factors {-1, 2, 2, 3, x}

     13 has factors {1, 13} (it is prime)

  Coefficients: {2, -12, 13} . . . see note below

  Constants: {13}

_____

Additional comment

We have listed the prime factors of each term, any subset can be multiplied to be a factor of the term. For example, 2·3 = 6 is a factor of -12x.

Please note that some sources do not consider a constant (13) to be a coefficient. You will need to refer to your curriculum materials to see what your author says about that.

Solve the following:
43/(-12 + 22)
(2x3)2 + (-5x2x3) + 2
Give your answer in simplest form.

Answers

Answer:

43/40x^3-5x^5+2

Step-by-step explanation:

= (64 / -8)/(36 - 30 + 2) = -8 / 8 = -1

When completing the sum 5.8×3.87 Dominica forgot to put the decimal point in her answer. She wrote 22446. What should she have written?

Answers

22.446. This is because the decimal point is moved a total of three times between both of the numbers. in 5.8, the decimal point is moved once. in 3.87, the decimal point is moved twice. 1+2=3

Question in image, please help

Answers

Answer:

34 degrees

Step-by-step explanation:

the verical angle theorem says any two angles opposite of each other from intersecting lines have the same angle

giving out brainliest! Please help me I’m struggling.

Answers

Answer:

3 is the slope of the line

Step-by-step explanation:

2 is the y-intercept:)

Hope I helped a little! I wish you lcuk with all my heart!

20 POINTS!! (see attached image)

Answers

Answer:

2x+1

Step-by-step explanation:

Geometry helppp please

Answers

Answer:

17

Step-by-step explanation:

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

[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]

64  + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

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Write six different numbers between 365.89 and 365.91.

Answers

Step-by-step explanation:

365.892

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365.899

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365.905

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If $10,000 is invested at a rate of 3.4 percent for 5 years, how much money is in the account at the end of the term?

$340
$3,400
$10,000
$11,700

Answers

I believe it is $11,700

Answer:

D. $11,700

Step-by-step explanation:

Solve for v in terms of s, t, u, and w.
wv=uts

v=___

Answers

[tex]wv=uts\implies v=\frac{uts}{w}[/tex]

we needed to eliminate w, do so by diving both sides by w and obtain the above result :)

Hope this helps.

Graph the line with the equation y=1/6x-5

Answers

Hope it helps you and have a great day

Find the missing number so that the equation has no solutions.
x–10=

2x–15

Answers

Answer:

X=-5/3

Step-by-step explanation:

What is the value of the expression when y=5y=5 and z=3z=3

Answers

Answer:

y = 1

z = 1

Step-by-step explanation:

y = 5y = 5

5y = 5

y = 5/5 = 1

z = 3z = 3

3z = 3

z = 3/3 = 1

Help. I would appreciate it just forget the highlighting ;) ♡ thanks!!​

Answers

Vas happenin!!

She’s correct because if you look at the picture there in the opposite directions

Hope this helps *smiles*

Solve for x.



-5x = -10

x = 2
x = -2
x = 50

Answers

Answer:

Putting x= 2

[tex]( - 5) \times 2 = - 10 \\ - 10 = - 10[/tex]

putting x = -2

[tex]( - 5) \times ( - 2) = - 10 \\ 5 \times 2 = - 10 \\ 10 = - 10 \\ this \: is \: not \: correct \: equation[/tex]

putting x = 50

[tex]( - 5) \times 50 = - 10 \\ - 250 = - 10 \\ this \: is \: also \: not \: correct \: equation[/tex]

so, x = 2 is applicable.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Here is the answer to your question

Solve for inequality:
n/-4 >= 7

Answers

Answer:

n ≤ − 28

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  

0  and solve.

Answer the question please

Answers

Similar to the other one, you now have a scale factor of 1/2, meaning each coordinate will be multiplied by 1/2.
(This will have the effect of pulling things in closer to the origin.)

Step 1: Identify the coordinates of Point K.
Step 2: Multiply both of those coordinates by 1/2.

Do you have it from there?

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Answers

Answer:

(4x+1)= 81

Step-by-step explanation:

4x+1= 81

4x= 81 - 1

4x= 80

x= 80/4

x= 20

Answer:

4x+1=81(vertically opposite angles)

x=20 degrees

Step by step explanation:

4x+1=81

4x   =81-1

  4x=80

     x=20

are these rational numbers

Answers

yes and second no it is not

Akaria bought one new book for 20$ and three used books for $4.95 each, Write and evaluate an expression to find how much money the books cost

Answers

Answer:

The expression for the total cost is 20 + 3 × 4.95.

Step-by-step explanation:

BOOKS Akira bought one new book for $20 and three used books for $4.95 each. Write and evaluate an expression to find how much money the books cost. SOLUTION: To find the cost of the used books, multiply the price by how many Akira purchased.

PLEASEE HELPPPPP
❤️❤️❤️❤️

Answers

Answer:

15

Step-by-step explanation:

(2x-1)+(x+17)+(4x-15)=106º

2x+x+4x=7x

-1+17-15=1

7x+1=106º

         -1

7x=105º

/7     /7

x= 15

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