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Diano4ka-milaya [45]
3 years ago
14

Tom Harding is a proofreader. He is paid $0.23 for every page he proofs. What is Tom's total pay for a week in which he proofrea

ds 1,992 pages?
458.16
1,237.27
3,207.12
8,660.86
Mathematics
1 answer:
natka813 [3]3 years ago
3 0
Alrighty, what I was always taught was to start by writing out what you know from the question.

What I know:
-Tom is paid $0.23 for every page of proofs.
-He proofreads 1,992 pages.

In order to figure out how much money Tom has made, we need to multiply 0.23 by 1,992. Multiplying allows us to see the total amount of money made by proofreading x amount of pages - for every page he proofreads, he makes $0.23.
0.23×1992=458.16

Therefore, Tom made $458.16.

Hope this helps!

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Plsss helppp I’m dying!! —> Complete the square to determine if the equation is a circle, quadratic equation, or other
sashaice [31]

a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

(4 · x + 12)² + (2 · y + 2)² = 64

4² · (x + 3)² + 2² · (y + 2)² = 64

(x + 3)² / 4 + (y + 2)² / 16 = 1 : Ellipse

x² + y² + 8 · x - 6 · y - 15 = 0

(x² + 8 · x) + (y² - 6 · y) = 15

(x² + 2 · 4 · x + 16) + (y² - 2 · 3 · y + 9) = 40

(x + 4)² + (y - 3)² = 40 : Circle

x² + 6 · x + 4 · y + 5 = 0

x² + 6 · x + 5 = - 4 · y

y = - (1 / 4) · x² - (3 / 2) · x - (5 / 4) : Parabola

To learn more on ellipses: brainly.com/question/19507943

#SPJ1

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Step-by-step explanation:

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A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we
IRINA_888 [86]

Answer:

52 roses and 117 sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is 4:9, we can represent how many there are of each as 4x and 9x, respectively. We know that there are 65 more sunflowers than roses, so we can set up the following equation to solve for x:

4x+65=9x

Solving for x, we get:

4x+65=9x

4x+65-4x=9x-4x (Subtract 4x from both sides of the equation to isolate x)

65=5x (Simplify)

5x=65 (Symmetric Property of Equality)

\frac{5x}{5}=\frac{65}{5} (Divide both sides of the equation by 5 to get rid of x's coefficient)

x=13 (Simplify)

Therefore, since x=13, we know that there are 4x=4*13=52 roses and 9x=9*13=117 sunflowers. Hope this helps!

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