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Gnesinka [82]
3 years ago
6

natalya wants to make a party mix of a trail mix and candies. the candy she uses costs $2 per pound with trail mix costing 1.50

per pound. find how many pounds of wach she should use to get 50 pounds of party mix worth $1.80 per pound
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0
How many pounds do you need total??
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The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensi
tatuchka [14]

Answer:

Area = length  x width

Area = (3width - 13) x width

Area = 3 width^2 -13width

56 = 3width^2 -13 width

Width = 7

Length = (3 *7) -13 = 8

Step-by-step explanation:

4 0
3 years ago
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Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1
Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0
2 years ago
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Find the value of (1/5)⁻² + (1/2)⁻³ + (1/4)⁻¹ <br><br><br><br>​
evablogger [386]

Answer:

Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 Answer

5 0
3 years ago
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Which graph shows the line y - 2 = 2(x + 2)?
klasskru [66]
For this case we have the following linear function:
 y - 2 = 2 (x + 2)&#10;
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 y - 2 = 2x + 4&#10;&#10;y = 2x + 4 + 2&#10;&#10;y = 2x + 6
 We observe that the linear function has:
 Positive slope and equal to 2.
 Intersection with the axis y equal to 6.
 Answer:
 
y = 2x + 6
 
See attached image

7 0
3 years ago
Table of Nutritional Content The FDA requires fast food companies to publish the nutritional content of their meals. The above t
Vesna [10]

Answer:

calories per gram:

Fat: 9

Carbohydrate: 4

Protein: 4

3 0
3 years ago
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