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2 years ago

If 12 +22+ 32 +

Mathematics

1 answer:

kakasveta [241]2 years ago

8 0

Answer:

Step-by-step explanation:

the 2nd equation is double the first one and the first one is 1

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A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

The first car consumes 20 gallons of fuel.

The second car consumes 30 gallons of fuel.

Reasons:

Fuel efficiency of the first car = 15 miles per gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let x represent the number of gallons consumed by the first car, and let y

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

15·x + 35·y = 1,350...(1)

x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

The number of gallons consumed by the first car, x = 20 gallons

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

The number of gallons consumed by the second car, y = 30 gallons

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

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2 years ago

Shayla is a member of the kindness club. Their nent project is called "Making Kindness Grow and each member of the

IceJOKER [234]

Even though it has not happened yet again

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3 years ago

Please complete z2+9z-90=(z-6)(z+?) ...?

notka56 [123]

The answer is: (z - 6)(z + 15)

z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)

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3 years ago

Read 2 more answers

You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa

Crazy boy [7]

Answer:

Part A) see the explanation

Part B) $C(12)=\$54$

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form $k=\frac{C}{x}$ or $C=kx$

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B) we know that

The linear equation is given by

$C=kx$

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

$k=\$4.50\ per\ book$

$C=4.50x$

For x=12 books

substitute in the equation and solve for C

$C=4.50(12)=\$54$

In function notation

$C(12)=\$54$

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3 years ago

Give the explicit and recursive formula for the sequence 0,6,12,18,24

Zigmanuir [339]

Your input 6,12,18,24,30,36,42,48 appears to be an arithmetic sequence

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3 years ago