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ale4655 [162]
4 years ago
10

Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives a stipend of

$25 for snacks. Javier knows his weekly earnings can be shown with the following expression:
75d + 8w + 25
Part A: Identify a coefficient, a variable, and a constant in this expression.
Part B: If Javier works for 5 days and installs 48 windows, how much does he earn? Show your work to receive full credit.
part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change? Why?
Mathematics
1 answer:
ziro4ka [17]4 years ago
5 0
A. a coefficient would be 75 or 8. The variables d and w as the constant is 25.

B. 75d+8w+25
75(5)+8(48)+25
375+384+25
400+384
784

Javier earns $784

C.
If Javier gets an increase in his stipend and receives $40 for snacks, the constant in the equation would change because The coefficients are affected by the amount of days or windows he worked/installed while the constant before, of $25, is non-related to the work due to the fact that its used for snacks. And since his stipend for snack increases, only the constant changes.
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Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the orgin
Delicious77 [7]

Answer:

y = - \frac{1}{2} x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 4y = 12 into this form

Subtract 4x from both sides

- 4y = - 8x + 12 ( divide all terms by - 4 )

y = 2x - 3 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

Since the line passes through the origin then c = 0

y = - \frac{1}{2} x ← equation of perpendicular line

5 0
3 years ago
A cylinder has a height of 13 feet and a radius of 11 feet. What is its volume? Use a ~ 3.14
ArbitrLikvidat [17]

Answer:

900

Step-by-step explanation:

V=πr2h

3.14 x 11= 34.54

34.54 x 2= 69.08

69.08x 13= 898.04

898.04 rounded to nearest hundreth is 900

8 0
3 years ago
Please help. I will give Brainliest! I pinky promise! Please refer to all 3 pictures attached!
emmainna [20.7K]

Answer:

Step-by-step explanation:

B. the vertex is (-6,-2)

C. 1

D. X= -6  Y=  -1

Not sure if these are right please let me know if they helped

6 0
3 years ago
A restaurant has 5 ​3/8 pitchers of lemonade. Jada said 5 3/8​ ÷ 1 1/8 could represent the number of total servings if there are
Aloiza [94]

It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.

<h3>How to illustrate the information?</h3>

It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.

On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.

Therefore, it can be seen that Latanya is correct.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?

7 0
1 year ago
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams
JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that \mu = 90, \sigma = 2

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

Z = \frac{X - \mu}{\sigma}

Z = \frac{94 - 90}{2}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 86

Z = \frac{X - \mu}{\sigma}

Z = \frac{86 - 90}{2}

Z = -2

Z = -2 has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

5 0
3 years ago
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