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JulsSmile [24]
3 years ago
12

A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solv

e an equation to find the price of each shrub.
A. 9p + 11.5p = $94.75; p = $4.62

B. 9(p + $11.50) = $94.75; p = $5.00

C. 9p + $11.50 = $94.75; p = $11.75

D. 9p + $11.50 = $94.75; p = $9.25
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.

So the answer to this question is:

D. 9p + $11.50 = $94.75 p=$9.25

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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
vitfil [10]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area  

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

So your answer is B. 20%

Don't thank me this was easy.

3 0
3 years ago
A track star in Arizona ran the 100 meter dash event is six track meets. Her average time for all six meets was 11.8 seconds. Sh
natima [27]

Answer:

A track star in Arizona running time in the last meet was 11.5 seconds.

Step-by-step explanation:

Given:

average time for all six meets = 11.8 seconds.

Time for 1st meet = 11.7 seconds.

Time for 2nd meet = 11.6 seconds.

Time for 3rd meet = 12 seconds.

Time for 4th meet = 12.1 seconds.

Time for 5th meet = 11.9 seconds.

We need to find the running time for her last meet.

Solution:

Let the running time for her last meet be 'x'.

So we can say that;

average time for all six meets is equal to sum of Time for 1st meet, Time for 2nd meet, Time for 3rd meet,Time for 4th meet, Time for 5th meet and time for her last meet and then divided by 6.

framing in equation form we get;

\frac{11.7+11.6+12+12.1+11.9+x}{6}=11.8\\\\\frac{59.3+x}6 =11.8

Now Multiplying both side by 6 we get;

\frac{59.3+x}{6}\times 6= 11.8\times6\\\\59.3+x=70.8

Now Subtracting both side by 59.3 we get;

59.3+x-59.3=70.8-59.3\\\\x=11.5 \ s

Hence A track star in Arizona running time in the last meet was 11.5 seconds.

7 0
3 years ago
The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
Natalija [7]

Answer:

The sample size should be approximately 151.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)

100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151

Thus, the sample size should be approximately 151.

6 0
3 years ago
Can someone please help me with the his question!!!!
almond37 [142]

Answer:

-6x - 13 = 10

Step-by-step explanation:

To solve this question, you just have to simplify the values

3(x - 3) - (9x + 4) = 10

3x - 9 - 9x - 4 = 10

-6x - 13 = 10

If you have any questions, let me know in the comments. If you could mark this answer as the brainliest, I would greatly appreciate it! :D

5 0
3 years ago
Read 2 more answers
Please help ASAP need help
Svetllana [295]
What do you need help with ASAP?
7 0
3 years ago
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