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3 years ago

Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Answer:

Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.

Step-by-step explanation:

(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5

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Latoya drove 210 miles using 9 gallons of gas. At this rate how many gallons of gas would she need to drive 413 miles?

Minchanka [31]

This is a problem that could be solved with proportions. Here's how to set it up.

210mi./9 gallons =413mi./x gallons

Then, you would cross multiply 9x413 then divide that my 210. The result would be the X gallons. Good Luck ♡

3 0

3 years ago

Which expression is equivalent to the following complex fraction?

marta [7]

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

5 0

3 years ago

Read 2 more answers

Select the numbers that are odd and prime. *

galina1969 [7]

Answer:

1,3,21,23,35 odd

Step-by-step explanation:

those aren't prime

7 0

3 years ago

Nanda Yueh and Lane Zuriff sell homes for ERA Realty. Over the past 6 months they sold 136 homes. Nanda sold 3 times as many hom

Marta_Voda [28]

Answer:

Lane sold 34 homes.

Nanda sold 102 homes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

Nanda sold x homes

Lane sold y homes

Over the past 6 months they sold 136 homes.

This means that $x + y = 136$

Nanda sold 3 times as many homes as Lane.

This means that $x = 3y$

Replacing in the first equation:

$x + y = 136$

$3y + y = 136$

$4y = 136$

$y = \frac{136}{4} = 34$

Lane sold 34 homes.

$x = 3y = 34*3 = 102$

Nanda sold 102 homes.

5 0

3 years ago

In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book

N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be $\frac{3}{8}x$ .