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marishachu [46]
4 years ago
7

Chris is making a tabletop from some left over tiles. He has 9 tiles that measure 3 1/8 inches long and 2 3/4 inches wide. What

is the greatest area he can cover with these tiles? pls explain
Mathematics
2 answers:
Leto [7]4 years ago
6 0
He would be able to cover 7 7/8 with one so 70.875 with all of them.
dlinn [17]4 years ago
6 0
28 1/8+  24 3/4= 527/8
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Natalie can send or receive a text message for $0.15 or get an unlimited number for $5. Write and solve the inequality to find h
Zielflug [23.3K]

33\frac{1}{3} number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

<em><u>Solution:</u></em>

Natalie can send or receive a text message for $0.15

Natalie can get an unlimited number for $5

To find: Number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

Let "x" be the number of messages

Cost for sending and receiving message = $ 0.15

Cost for unlimited plan = $ 5

Then, according to given, we frame a inequality as:

The condition is: unlimited plan is cheaper than paying for each message

Therefore,

(number of messages)(Cost for sending and receiving message) is greater than or equal to Cost for unlimited plan

x \times 0.15\geq 5\\\\0.15x\geq 5\\\\\text{Solve for "x" }\\\\\text{Divide both sides of equation by 0.15 }\\\\\frac{0.15x}{0.15}\geq \frac{5}{0.15}\\\\x\geq 33.33\\\\x\geq 33\frac{1}{3}

Thus for 33\frac{1}{3} messages ,the unlimited plan is cheaper than paying for each message

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3 years ago
PLEASE HELP!!!Which statement is true? Select all that apply.
Fittoniya [83]

Answer:

"The relationship is proportional."

"The relationship is proportional."

"The equation of the line is y = -3x"

Step-by-step explanation:

First, a proportional relationship can be written as:

y = k*x

where k is called the constant of proportionality. (or the slope)

You can see that if we take x = 0, we have

y = k*0 = 0

Then this type of line always passes through the point (0, 0).

And in the graph you can see that this line does that, then:

"The relationship is proportional." is true.

We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:

"The slope is negative." is true.

To find the value of the slope, we can take two points that belong to the line.

I will choose:

(0, 0) and (2, -6)

For the slope, we just take the quotient between:

Δy = -6 - 0 = -6  (the difference in the y-components)

Δx = 2 - 0 =  2   (the difference in the x-components)

the slope is:

k = Δy/Δx = -6/2 = -3

Then the slope is -3, and we can write the equation as:

y = -3*x

Then:

"The equation of the line is y = -3x" is true.

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