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snow_tiger [21]
3 years ago
5

Marla has $95.50 in her savings account. She deposits $5 every week. Her mother also deposits $20 into the account every time Ma

rla washes the car. Her savings account balance can be shown with the following expression:
20c + 5w + 95.50

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Marla saves for 20 weeks and washes the car 5 times, how much will she have in her account? Show your work to receive full credit. (4 points)

Part C: If Marla’s mom deposited $10 after each car wash, would the coefficient, variable, or constant in the expression change? Why? (3 points)
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
Coefficient: 20 or 5
Variable:  c or w
Constant:  95.50

Pt B:  20(5) + 5(20) + 95.50
          100 + 100 + 95.50
          295.50

Pt C:The coefficient of c would change to 10
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The regular price of a calculator is $49.95 before taxes. It goes on sale at 20% below the regular price. Before taxes are added
Kay [80]

Answer:

$39.96

Step-by-step explanation:

Since it is 20% off, we would multiply by .8, as we subtract the .2 (20%) off of the price.

$49.95 x 0.8 = $39.96

6 0
3 years ago
Which expression is equivalent to 2(x + 7) - 2(9x - 0.4)?
Black_prince [1.1K]

Answer:

-16x+14.8

Step-by-step explanation:

2(x+7)-2(9x-0.4)

2x+14-18x+0.8

-2x+14-18x+0.8

14-16x+0.8

14+0.8-16x

14.8+-16x

8 0
3 years ago
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al
Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }

n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, Z_\frac{\alpha }{2} is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, Z_\frac{\alpha }{2} = 3. Hence:

n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900

6 0
3 years ago
What is m∠AEB?<br><br><br><br> Enter your answer in the box.
avanturin [10]
Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:

5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25

After we have gotten the value of x we can plug it in into the equation of angle AEB:

5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115

The measurement of angle AEB is 115

Hope it helped!, have a great day.
7 0
3 years ago
Can anyone please help me :)
Solnce55 [7]

Answer:

5 to the 15th power.

Step-by-step explanation:

PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!

3 0
3 years ago
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