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iragen [17]
3 years ago
9

Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before.  Let n be the number of donuts she ate on the first day, then she ate...

Day 1: n donuts

Day 2: n + 6 donuts    

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n...

5n + 60 = 100

    5n = 40

    n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

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pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

43/77

Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
6 0
3 years ago
Find x and the measure of each side.
Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

GH=60

HF= x+20 =27.5+20

HF=47.5

5 0
1 year ago
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
slamgirl [31]
The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8
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3 years ago
Complete parts (a) and (b) using the probability distribution below.
katen-ka-za [31]
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μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance  = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D
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An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
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8(3x – 2) ≤ 2(7x + 12)?
leva [86]

Answer: x≤ 4

Step-by-step explanation:

4 0
3 years ago
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