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rodikova [14]
2 years ago
15

Question

Mathematics
1 answer:
Kaylis [27]2 years ago
4 0

Answer:

55w+145

Step-by-step explanation:

10w+120+45w+25 = 55w+145

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A shaded semicircle is inside a circle
max2010maxim [7]

Answer:

Step-by-step explanation:

6 0
2 years ago
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

7 0
2 years ago
I WILL GIVE BRAILIEST PLEASE HELP
Mila [183]

Answer:

$3.49 for the muffin, and $2.96 for the coffee

Step-by-step explanation:

(3.25)(1.075) = 3.49

(2.75)(1.075) = 2.96

How to find the factor to multiply by

1.075 = 1+.075, 7.5% = 7.5/100 =  .075

3 0
2 years ago
Read 2 more answers
If the revenue for the week is $2000 and the labor cost consists of two workers earning eight dollars per hour who work 40 hours
arsen [322]
To find the cost of labor for one worker, you multiply the wage by the number of hours worked. 

40 * 8 = 320

Because there are two workers, now you double it. 

320 * 2 = 640

To find the percentage of the revenue that this is, you do the labor cost divided by the revenue. 

640 / 2000 = 0.32

Move the decimal two places to the right to get the percentage. 

0.32 = 32%

The labor cost is 32% of the revenue. 
8 0
3 years ago
Luna bought a package of 5 oatmeal cookies. The total weight of the cookies was 1 ounce. How much did each cookie weigh?
Anarel [89]
Each cookie weighed 1/5 ounce
6 0
2 years ago
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