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3 years ago

If x over x+2 = 6/7 then x = what?

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

Move all terms to the side of the answer x = -8/7 Hope this helps! ;D

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An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

Find the domain of the function y = 3 tan(2/3x)

Damm [24]

Answer:

{x∈R | $\frac{2x}{3\pi } +\frac{1}{2}$ , x∉Z}

Step-by-step explanation:

Given the function y=3tan(2/3x)

We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers

Also, the roots of y=3tan(2/3x) is $3\pi n/2$ where n is an integer

Note that the domain of the function cannot be within $3\pi n/2$

Therefore, {x∈R | $\frac{2x}{3\pi } +\frac{1}{2}$ , x∉Z}

5 0

2 years ago

Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. How much cement, on average, did the company use

Ilia_Sergeevich [38]

Answer: 187.5 tons of cement

Step-by-step explanation:

From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:

= 750 tons of cement/4

= 187.5 tons of cement

The company used 187.5 tons of cement per mile.

7 0

3 years ago

Read 2 more answers

Sweet Treats sells ice cream cones for $4.00 per customer. Variable costs are $1.25 per cone. Fixed costs are $2,800 per mont

Elanso [62]

Answer:

2.75 dollars

Step-by-step explanation:

4-1.25=2.75

6 0

4 years ago

Find the surface area of the prism.

Reika [66]

Your question is first one that’s your answer

5 0

3 years ago