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2 years ago

Solve for x using distributive property 2(x+7)=13 and 5(x-7)=17

Mathematics

1 answer:

Law Incorporation [45]2 years ago

4 0

Answer:

x= −1/2, x=52/5

Step-by-step explanation:

2(x+7)=13

(2)(x)+(2)(7)=13(Distribute)

2x+14−14=13−14

2x=−1

2x/2=−1/2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5(x−7)=17

(5)(x)+(5)(−7)=17(Distribute)

5x+−35=17

5x−35=17

5x−35+35=17+35

5x=52

5x/5=52/5

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Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter

galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

$x*0,04+(100000-x-y)*0,05+y*0,06=5250$

From the equation it is found that:

$y=25000+x$

Instead of y, if we put 25000+x the equation will be as following:

$x*0,04+75000*0,05+(25000+x)*0,06=5250$

From the equation it is found that:

$x=5000$

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$x+25000=y$

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

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3 years ago

. Byron has 17 kilograms of black pepper. He uses a of the pepper

Sphinxa [80]

About 2.43 kg of pepper
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2 years ago

What is the slope of line a? • -4 • 4 • -1/4 • 1/4

Shtirlitz [24]

I think it’s four. If not then I’m sorry

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3 years ago

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Find the product of 2x^2(x + 3)

KengaRu [80]

Answer:

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Step-by-step explanation:

2x^2(x+3)

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3 years ago

The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Vlad [161]

Answer:

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Step-by-step explanation:

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2 years ago