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ivann1987 [24]
3 years ago
13

The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours.

The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.
A. If the worker produces 18 units, what will she be paid?

B. How many units would the worker need to produce to be paid $3,030?
Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute x=18 into the function T(x)=4x+2 for calculate the time in hours required for the worker to produce 18 units:

T(18)=4(18)+2=74

Now you need to substitute T=74 into the function S(T)=15T to calculate the amount in dollars she will be paid for 74 hours:

S(74)=15(74)=1,110

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute S(T)=3,030 into the function S(T)=15T and solve for T (to find the number of hours she requires to work to be paid $3,030)

3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202

Now, substitute T(x)=202 into T(x)=4x+2 and solve for x, to calculate the number of units she produces in 202 hours:

202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50

She would need to produce 50 units to be paid $3,030

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A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter​
ra1l [238]

Answer:

Given

length of rectangular sheet of paper is 12 (1/2) i.e. (25/2)

Breadth of rectangular sheet of paper is 10 (2/3) i.e. (32/3)

But we know that perimeter of rectangle = 2 (length + breadth)

Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]

LCM of 2 and 3 is 6,

by taking this and simplifying we get

Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]

= 2[(75/6) + (64/6)]

= 2(139/6) = (139/3)

= 46 (1/3) cm

3 0
3 years ago
Read 2 more answers
PLEASE HELP FAST I NEED THIS QUICKLY
son4ous [18]

Answer:

0.833

Step-by-step explanation:

1. locate which vertical column of the graph we are referring to:

  • student 7

2. calculate the total number of trials student 7 did:

  • if in 5 trials the tack landed point-up, and in 1 trial the tack did not land point-up, the total number of trials is 6
  • 5 + 1 = 6

3. refer back to the question:

  • the question states: "what is the experimental probability that the tack lands point-up"

4. interpret the graph:

  • of the 6 trials student 7 underwent, the graph tells us that 5 landed point-up.
  • therefore the experimental probability of a tack landing point up is 5/6 (in 5 out of the 6 trials, the tack landed point-up)

5. converting from fraction to decimal:

  • all the given answers are given in decimal form, whilst our current answer (5/6) is in fraction form.
  • to convert to decimal form, simply divide the top number by the bottom number
  • 5 ÷ 6 = 0.833

therefore, the experimental probability that the tack will land point-up, is 0.833

hope this helps :)

7 0
1 year ago
Read 2 more answers
Need help! I have no clue how to even go about solving this..
Solnce55 [7]

In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)

The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).

Problem 14

Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).

There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).

6 0
3 years ago
Frank, mary and seth shared some sweets in the ratio 4;5;7
Rashid [163]

Answer:

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Step-by-step explanation:

sweets shared in the ratio 4 : 5 : 7 = 4x : 5x : 7x ( x is a multiplier )

Seth got 18 more sweets than Frank , that is

7x = 4x + 18 ( subtract 4x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Then

total = 4x + 5x + 7x = 16x = 16 × 6 = 96 sweets

4 0
2 years ago
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sesenic [268]
-4+x=3/4x-4.5

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x=2
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3 years ago
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