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Mila [183]
3 years ago
8

WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an av

erage of 4 minutes to decorate a cupcake and 32 minutes to decorate a cake. Last week, Nancy spent no more than 224 minutes decorating cakes and cupcakes. Assume x represents the number of cupcakes and y represents the number of cakes Nancy decorated. 1. Which inequality best represents the possible combinations of cupcakes and cakes Nancy decorated? 2. If Nancy decorated a total of 4 cakes last week, which inequality represents the possible number of cupcakes she decorated? 3. Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week? Explain. a. 4x + 32y > 224 b. 4x - 32y < 224 c. 32x + 4y < 224 d. 4x + 32y < 224 a. X < 96 b. x < 24 C. X < 96 d. x < 24 1 2- 3 - > 1​

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

32

Step-by-step explanation:

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For the following system, use the second equation to make a substitution for y in the first equation.
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Answer:

Option A: 3x + 5x - 4 = 1

Step-by-step explanation:

Given that:

3x + y = 1  ------------- eq1

y + 4 = 5x ------------ eq2

Now for substitution in eq1 we will get a value of y from eq2:

y = 5x - 4

Substituting in eq1 we get:

3x + 5x - 4 = 1

i hope it will help you!

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3 years ago
At the 2010 Winter Olympics in Vancouver, the top 8 countries got a total of 60 gold medals. Of the 60, Russia got 3 gold medals
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Step-by-step explanation:

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3 years ago
Solve the equation. -7 = -1 + x/3
pochemuha

Answer:

x= -18

Step-by-step explanation:

We want to isolate x ( move everything to the other side of the equation)

-7 = -1 + x/3

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6 0
3 years ago
Read 2 more answers
57. What number is 25% of 32?
horrorfan [7]
57. 8
58. 8
59. 24
60. 11.25 or 11
61. 20.52 or 21
62. 144
63. 7.37 or 7
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5 0
3 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
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