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Murljashka [212]

2 years ago

9

A company made $4 million in the second quarter. This is 1/3 more than it made in the first quarter and 4/5 of what it made in t

he third quarter. How much did the company make in the three quarters combined?

1 answer:

babunello [35]2 years ago

8 0

BIG BLACK lollipop to suck on

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7.1x10^-2 as an ordinary number

Sonja [21]

Hey there,

So let's start off with one part of this equation . . .

$10^{-2}$ would be 0.01.

So, we have 0.01 has our answer (so far).

Then we would do 7.1 × 0.01, this would give us . . .

0.071.

Your correct and final answer would be $\boxed{0.071}$

Hope this helps you!

~Jurgen

3 0

2 years ago

You are given rectangle ABCD on the grid shown and are told that the figure is to be dilated from the origin, but you are not to

Alenkinab [10]

Answer:

The new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)

Step-by-step explanation:

The rectangle ABCD on the grid shown is attached below.

From the grid, it is clear that the coordinates of point D are (-4, -4)

i.e. D(-4, -4)

As we are told that the figure is to be dilated from the origin.

A dilation tends to stretch or shrink the original figure, depending upon scale factor.

If scale factor > 1, then the image gets enlarged

If the scale factor < 1, the image gets reduction

When we dilate a figure from the origin by any scale factor, the new coordinates of the image can be obtained by multiplying the scale factor with the coordinates of the original object/figure.

As the the coordinates of point D are (-4, -4). If we dilate the figure by a scale factor of 1/2, the new new coordinates of point D would be:

P(x, y) → P'(1/2x, 1/2y)

D(-4, -4) → D'(-4/2, -4/2) or D'(-2, -2)

Therefore, the new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)

7 0

2 years ago

Wang Hao wants to spend at most $15 on dairy products. Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1

Mashutka [201]

Answer:

2.40g + 1.20c ≤15

Step-by-step explanation:

Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20

Let g = liters of goats milk

c = liters of cows milk

What we are buying is the liters times the cost

2.40g + 1.20c

This must be less than or equal to 15 dollars

2.40g + 1.20c ≤15

8 0

2 years ago

Read 2 more answers

Carl bought some stock at $25 a share it increased 1 1/2 times its value. How much is the stock per share ?

jolli1 [7]

Answer: $37.50 per share

Step-by-step explanation:

Take the difference in the final price and the original price. Divide by the original price and multiply by 100.

37.5-25= 12.5

12.5/25= .50

.50*100= 50%

The other answers are $12.50 per share, and

The new stock is worth $37.50 per share.

4 0

2 years ago

Read 2 more answers

Use a daily production cost C for x units. A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, wh

Lady bird [3.3K]

The function given is a quadratic function, so the graph will be a parabola. It'll look similar to the photo attached. The minimum cost will be at the vertex of the parabola because that is its lowest point! To find the x-value of the vertex (which is what the question is looking for), use the vertex formula: x = -b/2a. The variable b is the coefficient of the x term in the function, and the variable a is the coefficient of the x² term. In this case, a = 0.125 and b = -5.
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)

8 0

2 years ago

Read 2 more answers