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3 years ago

How do i solve this?

Mathematics

1 answer:

Kryger [21]3 years ago

5 0

The answer is -.0028571429
1/5a+1=3/10
-1 -1
1/5a=-.7. -.7 as a fraction is -7/10
1/5a divide -7/10
= -.0028571429

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Preimage and image points are labeled as primes.

gtnhenbr [62]

Answer: false

Step-by-step explanation:

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3 years ago

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

How do you factor 5x^2b^2 + 14xb^2 -3b^2

Monica [59]

Answer:

$5b^2(x-0.2)(x+3)$

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of $b^2$ . You can therefore factor that out first:

$5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)$

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

$5b^2(x-0.2)(x+3)$

Hope this helps!

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3 years ago

Please need help on this

artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.