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IrinaK [193]
3 years ago
12

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1

/2 hour . How many baskets can Nikki make in 5 hours
Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

40

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

The time is now 5 hours (t = 5). Therefore:

n = 8 * 5 = 40 baskets

She can make 40 baskets in 5 hours.

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Mickey's bowling score is 16 less
Tpy6a [65]

Mickey's bowling score is 167 and Minnie's bowling score is 61

Step-by-step explanation:

The given is:

1. Mickey's bowling score is 16 less  than 3 times Minnie's score

2. The  sum of their scores is 228

We need to find the score of each one

Assume that the score of Minnie is x

∵ Minnie's score = x

∵ Mickey's score is 16 less  than 3 times Minnie's score

- That means subtract 16 from 3 times Minnie's score

∴ Mickey's score = 3 x - 16

∵ The sum of their scores is 228

- Add their scores and equate the sum by 228

∴ x + 3 x - 16 = 228

- Add like terms in the left hand side

∴ 4 x - 16 = 228

- Add 16 for both sides

∴ 4 x = 244

- Divide both sides by 4

∴ x = 61

Substitute the value of x to find their scores

∵ Minnie's score is x

∴ Minnie's score = 61

∵ Mickey's score is 3 x - 16

∴ Mickey's score = 3(61) - 16 = 167

Mickey's bowling score is 167 and Minnie's bowling score is 61

Learn more:

You can learn more about word problems in brainly.com/question/5248692

#LearnwithBrainly

7 0
3 years ago
Use a common denominator to write equivalent fractions with like denominators. Write in simplest form. 7 2/5 + 4 3/4
kkurt [141]

Answer:

I'm pretty sure your answer is going to be 12 3/20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help please explain how to do these two question as I did the rest of them. I just don't understand these.
Alexxandr [17]

Answer:

7. (4x +10)/(x^3 +3x^2 -16x -48)

9. -320/93

Step-by-step explanation:

7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.

6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))

= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator

= (6x +18 -2x -8)/((x -4)(x +3)(x +4))

= (4x +10)/((x^2 -16)(x +3))

= (4x +10)/(x^3 +3x^2 -16x -48)

_____

9. First you simplify the denominator:

2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400

Then you perform the division. This can be done by multiplying by the inverse of the denominator.

(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93

6 0
3 years ago
How do I find the value of x
Drupady [299]

Answer:

x=144

Step-by-step explanation:

We\ can\ observe\ that:\\The\ polygon\ is\ an\ octagon\ as\ it\ is\ bounded\ by\ 8\ linear\ sides.\\Hence,\\We\ know\ that,\\The\ Interior\ Angle\ Sum\ of\ a\ polygon\ with\ n\ is\ given\ by\ the\ formula:\\Interior\ Angle\ Sum=180(n-2)\\Hence,\\As\ we\ already\ know\ that,\\The\ number\ of\ sides\ in\ this\ polygon=n=8\\Hence,\\The\ Interior\ Angle\ Sum\ Of\ An\ Octagon=180(8-2)=180*6=1080\\

Hence,\\\angle 1+ \angle 2+\angle 3+\angle 4+\angle 5+\angle 6+\angle 7+\angle 8=1080\\Hence,\\129+132+136+124+141+158+116+x=1080\\Hence,\\936+ \angle x=1080\\\angle x=1080-936=144

6 0
3 years ago
a contractor was hired to remodel a kitchen. she can complete 3/8 of the kitchen remodeling project in one day. how much of the
vovangra [49]
She would have 5/8 days left
8 0
3 years ago
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