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Ipatiy [6.2K]
3 years ago
14

A ceiling 6 feet by 7 feet can be painted for $52. find the cost of painting a ceiling 18 feet by 21 feet, all things being equa

l except the dimensions
Mathematics
1 answer:
kykrilka [37]3 years ago
5 0
6 feet * 7 feet = 42 feet²

18 feet * 21 feet = 378 feet²

42 feet²  was painted for $52

1 feet²  will be painted for $52/42

378 feet² will then be painted for:  ($52/42) * 378

                                                       = $468

Hence 18 feet by 21 feet will be painted for $468

Hope this helps.
You might be interested in
a line with a slope of -1/9 passes through point (9,-1). What is its equation in slope intercept form
Elena L [17]

Answer:

\huge  \orange{y =  -  \frac{1}{9} x} \\

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have

y + 1 =  -  \frac{1}{9} (x - 9) \\ y + 1 =  -  \frac{1}{9} x + 1 \\ y =  -  \frac{1}{9} x + 1 - 1

We have the final answer as

y =  -  \frac{1}{9} x \\

Hope this helps you

4 0
2 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
Read 2 more answers
Can someone please help me?
Fittoniya [83]

Answer:

x²+4x+5

Step-by-step explanation:

i provided a picture explanation.

3 0
2 years ago
Read 2 more answers
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
Which two consecutive whole numbers would 341 be located?
marysya [2.9K]
The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
8 0
3 years ago
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