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Rina8888 [55]
3 years ago
8

Candy selling at $6.00 per pound will be mixed with candy selling at $9.00 per pound. How many pounds of the more expensive cand

y are needed to produce a 15-pound mixture that sells for $7.00 per pound?
5
6
9
10
Mathematics
2 answers:
gregori [183]3 years ago
8 0
I think the answer is 10
OleMash [197]3 years ago
3 0

Answer:

5 Pounds

Step-by-step explanation:

Let A represent the number of pounds of $6 candy

Let B represent the number of pounds of $9 candy

Therefore ,

A + B = 15

A= 15 - B

6 × A + 9 × B = 15 × 7

6A + 9B = 105

In order to find B we substitute 15-B for A in the equation.

6 x (15 - B ) + 9B = 105

90 - 6B + 9B = 105

3B = 105 - 90

3B = 15

B = 5

To solve for A

A = 15 - B

Where B is 5

A = 15 - 5

A = 10

From the calculation,

Number of pounds of $6 per pound candy is 10 and the number of pounds of the $9 per pound candy is 5.

Therefore, since B is representing the number of pounds of the $9 candy , and it is the most expensive, then 5 pounds of the more expensive candy are needed to produce a 15-pound mixture that sells for $7.00 per pound.

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At what rate will £420 yield<br>£70 in 4 years​
Bumek [7]

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

6 0
2 years ago
A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i
sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired <em>t</em>-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The incentive program does not cuts down on the number of days missed by employees, i.e. <em>d</em> ≥ 0.

<em>Hₐ</em>: The incentive program cuts down on the number of days missed by employees, i.e. <em>d</em> < 0.

From the information provided the data computed is as follows:

 n=10\\\bar d=-1.1\\SD_{d}=2.99

Compute the test statistic value as follows:

 t=\frac{\bar d}{SD_{d}/\sqrt{n}}

   =\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

p-value=P(t_{n-1}

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

4 0
3 years ago
Which polynomial does the model represent?
Maurinko [17]
Ive never seen a question lie this before
Since the first figure is a square I guess it stand for x^2
then we have -2x + 3x   = x ( the 2 stets of rectangles)
and finally -3 + 1 = - 2
So i am presuming its x^2 + x - 2  
Option b

Im not sure though
3 0
3 years ago
Read 2 more answers
Tom puts a cup of tea in his microwave oven He knows that the final temperature of the water will be a function of the number of
bearhunter [10]
B and C are both correct 

t(s) is equivalent to the temperature of the tea after s amount of seconds
4 0
3 years ago
Solve the problem x/27=4/9 x=
Monica [59]

Answer: x=12

Step-by-step explanation:

  • Multiply both sides by 27.
  • Use this rule: a/b*c=ac/b
  • Simplify 4×27 to 108.
  • Simplify 108/9 to 12

x=\frac{4}{9} *27\\\\x=\frac{4*27}{9} \\\\x=\frac{108}{9} \\\\x=12

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

7 0
3 years ago
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