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anzhelika [568]
3 years ago
12

Claudia earns the same dollar amount each hour she works. Last weekend, she worked a total of 9 hours and earned $72. Which equa

tion can be used to find the total amount Claudia earns, y, for any number of hours, x, she works?
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

y=8x can be used to find the total amount earned by Claudia.

Step-by-step explanation:

let,

x be the number of hours and y be the amount earned.

She earned $72 for 9 hours;

9x=72

Dividing both sides by 9;

\frac{9x}{9}=\frac{72}{9}\\x=8

Therefore she earns 8 dollars per hour.

As the amount is same, therefore,

Amount earned = Amount per hour * No. of hours

y=8*x\\y=8x

y=8x can be used to find the total amount earned by Claudia.

Keywords: division, multiplication

Learn more about multiplication at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417

#LearnwithBrainly

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The equation of a curve is y = x³ + 4x. Show that the value of y increases when x increases. ² is a decreasing function.​
belka [17]

We will see that f'(x) > 0, which means that f(x) is an increasing function.

<h3>How to prove that the function is increasing?</h3>

For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.

Here we have the cubic function:

f(x) = x³ + 4x

If we differentiate this, we get:

f'(x) = df(x)/dx = 3x² + 4.

And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.

If you want to learn more about cubic functions:

brainly.com/question/20896994

#SPJ1

7 0
2 years ago
What is the measurment of angle P
Airida [17]

Answer:

65°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.

(2x-9) + (2x+4) + x = 180

Combine like terms:

5x-5 = 180

5x = 185

x = 37

P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65

4 0
3 years ago
A car loses a quarter of its value every year. It is
DerKrebs [107]

Answer:

Step-by-step explanation:

This is an exponential equation of the form

A=ar^2\text{ where a is the initial value r is the rate and t is the time.}\\ \\ A=35000(0.75)^8\\ \\ A\approx \$ 3504

7 0
3 years ago
Solve for brainliest and all my points
inessss [21]

Answer:

b = 6 units

Step-by-step explanation:

Area = 1/2bh

8 = 1/2(b)(8/3)

divide both sides by 1/2

16 = b(8/3)

multiply both sides by 3

48 = 8b

divide both sides by 8

b = 6 units

For your boxes:

1/2 x b/1 x 8/3 = 8/1

b/1 x 8/3 = 16/1

8b/3 / 8 = 2/1

b/3 x 3 = 6

6 0
3 years ago
PLEASE PLEASE PLEASE HELP ME
lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ \frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}

∵ DE : CD = 5 : 3

∴ \frac{KD}{KC}=\frac{5}{3}

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ \frac{KE}{KD}=\frac{5}{3}

∴ \frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}

∴ KC + 8 = \frac{25}{9}KC

∴ \frac{25}{9}KC - KC=8

∴ \frac{16}{9}KC=8

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0
3 years ago
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