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spayn [35]
2 years ago
11

Four dozen cookies take 150 minutes

Mathematics
1 answer:
Aleks [24]2 years ago
7 0

150 / 4 = 37.5

150 + 37.5 = 187.5

187 minutes and 30 seconds

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82. A company spends x hundred dollars on an advertising
crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

S(x) = 5 + 7\ln(x + 1)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

5 + 7\ln(x + 1) = 19.1

Subtract 5 from both sides

7\ln(x + 1) = 14.1

Divide both sides by 7

\ln(x + 1) = 2.014

Take exponents of both sides

x + 1 = e^{2.014

x + 1 = 7.49

Subtract 1 from both sides

x= 6.49

Hence, the company spends $649 on advertising

Read more about functions at:

brainly.com/question/12940982

5 0
2 years ago
A company sells widgets. The amount of profit, y, made by the
vfiekz [6]

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

y = -4x^2 + 183x- 1247 ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87

Put x = 22.87 in equation (1). So,

y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06

So, the maximum profit is 846.06 units.

4 0
2 years ago
The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minu
notka56 [123]

Answer:

77.88 minutes

Step-by-step explanation:

Given that :

Mean (m) = 70

Standard deviation (s) = 10

For 80% of student to complete the exam. In the given time

Using the formula :

Zscore = (X - mean) / standard deviation

80th percentile = 80/100 = 0.8 has a Zscore = 0.7881

0.7881 = (X - 70) /10

0.7881 * 10 = X - 70

7.881 = X - 70

7.881 + 70 = X

77.881 = X

Hence, 77.88 minutes should be given

5 0
3 years ago
Gabi tried to solve an equation step by step.<br> 0.1(0.5m+6)=2
agasfer [191]

Answer:

m=28

Step-by-step explanation:

0.1(0.5m+6)=2

Distribute

.05m +.6 =2

Subtract .6 from each side  

.05m +.6-.6 = 2-.6

.05m = 1.4

Divide each side by .05

.05m/.05 = 1.4/.05

m = 28

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME OUT
igomit [66]

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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