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3 years ago

Which equation and solution represents the situation: 89% of what

Mathematics

1 answer:

GrogVix [38]3 years ago

3 0

Answer:

12.5

Step-by-step explanation:

89% of 14= 89/100 x 14

=12.46

Rounded to nearest tenth this is; 12.5

In this context *of* means times(x) and % means /100

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Earning $80,000 a year. What is your monthly income?

aleksklad [387]

80,000 per year....there are 12 months in a year

80,000 / 12 = 6666.67 per month

6 0

4 years ago

Read 2 more answers

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

serious [3.7K]

9514 1404 393

Answer:

13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

663 = x(4x -1)

4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

x = 104/8 = 13

4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

I find it easiest to solve these using a graphing calculator.

8 0

3 years ago

Is this the relation R:={(2,1),(3,1),(5,5),(7,5)} a function?

fredd [130]

<h3>Answer: Yes, it is a function</h3>

This is a function because there are no x values that repeat.

If we had repeated x values, then this would mean a certain input x leads to multiple outputs y, and that would not make it a function.

For instance, if we had (2,1) and (2,2) at the same time, then the input x = 2 leads to multiple outputs y = 1 and y = 2 at the same time. A function would not be possible in this example.

A function is only possible if any input x leads to exactly one output y. It is possible for y to repeat itself and still have a function.

7 0

3 years ago

The force newton(N),between two particles is inversely propotional to the square of the distance ,d m,between them.When particle

bonufazy [111]

Answer: $1.6\ N$

Step-by-step explanation:

Given

The force between the two particles is inversely proportional to the distance between them

$\Rightarrow F\propto \dfrac{1}{d^2}$

When the distance is 2 m, the force is 10 N. For 5 m distance, it is

$\Rightarrow \dfrac{10}{F_o}=\dfrac{5^2}{2^2}\\\\\Rightarrow F_o=10\times \dfrac{2^2}{5^2}\\\\\Rightarrow F_o=1.6\ N$

Thus, the force between them is $1.6\ N$

6 0

3 years ago

Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles from the case

Helen [10]

Answer:

6 cases

Step-by-step explanation:

Kendra wants a total of 160 water bottles

She already has 16 water bottles. So you can subtract 16 from 160 or

160-16 = 144

Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6

4 0

3 years ago