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Rashid [163]
3 years ago
14

Seven pieces of cardstock sell for $3. Tanesha spends $57 on cardstock. How many pieces of cardstock does Tanesha buy?

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Hey there! :)

Answer:

133 pieces.

Step-by-step explanation:

If 7 pieces of cardstock sell for $3, we can set up a proportion to determine the amount of pieces bought in pieces/ money spent:

\frac{7}{3} = \frac{x}{57}

Cross multiply:

7 · 57 = 3 · x

399 = 3x

Divide both sides by 3:

x = 133 pieces. This is the amount of pieces bought.

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At short company has initial costs of $800 per month and it costs them $1.50 per shirt. Let y represent the cost to run the comp
adelina 88 [10]

Answer:

A. y = $800 + $1.50x

B. The cost to run the company each month = y

C. The initial cost ($800) plus the cost of each t-shirt ($1.50) and the number of t-shirts (x)

Step-by-step explanation:

I hope this helps :)

4 0
2 years ago
On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25
Norma-Jean [14]

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

6 0
3 years ago
Help! I will give brainliest!!!!
Strike441 [17]

Answer:

3.14     (or pi )  feet  

Step-by-step explanation:

Entire circle circumference  = pi *d  = 8 pi    feet

45 degrees is a fraction of the entire 360 degrees of the circle

   45 / 360  *  8 pi = pi =  3.14 ft

4 0
1 year ago
Is the point (5,-1) a solution of y=2x-11
Nataly [62]

if the given point satisfies this equation then it would be its solution

(-1)=2(5)-11

-1=10-1

-1=-1

lHS=RHS

Hence (/,-1) is the solution of y=2x-11

3 0
3 years ago
Evaluate the expression m÷n for m=2 and n=14.
Sever21 [200]

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

~

3 0
3 years ago
Read 2 more answers
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