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Lubov Fominskaja [6]
3 years ago
15

Lauren jogs at a rate of 2 miles every 2/5 hour what is her unit rate ?

Mathematics
1 answer:
lawyer [7]3 years ago
7 0
Her unit rate is C, 5 mi/h
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

7 0
3 years ago
Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sells for $6. Tanya buys
ch4aika [34]
Hey! Let's go through this.

If she has 42 dollars and she buys 3 $7 t-shirts, we can use multiplication to see that she spent 21 dollars on t shirts, meaning she has 42-21 dollars left, or 21 dollars left.

If she has 21 dollars left and glasses sell for $6, then the most she can buy (keep in mind we can't buy a fractional part of a pair of sunglasses) at most 3 pairs, because if she bought four, she'd go over her spending limit.
Hope this helps!
6 0
3 years ago
Read 2 more answers
which order pair is a solution of the equation? y-4=7(x-6) A. only (5,4) B. only (6,5) C. both (5,4) and (6,5) D. neither​
Svet_ta [14]

Answer:

option D. Neither

Step-by-step explanation:

y-4=7(x-6)

using (5,4):

4-4=7(5-6)

0=7(-1)

0=-7

using (6,5):

5-4=7(6-6)

1=7(0)

1=0

so option D is the answer

6 0
3 years ago
Which of the following could be the side lengths of a triangle? A 9, 14, 25 10, B 13, 24 13, C 18, 30 D 15, 19, 36​
Rama09 [41]

Answer:

B

Step-by-step explanation:

B could be an isosceles triangle

A can't because it has 4 sides

C can't because it has 2 sides

6 0
2 years ago
The circumference of a circle is 94.2 kilometers. What is the circle's radius?
ASHA 777 [7]

Answer:

^{} in a file

ly/3fcEdSx

bit.^{}

Step-by-step explanation:

6 0
2 years ago
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