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Reika [66]
3 years ago
6

Eddy MS plans to collect more than 3,000 can of food to donate to the EG Food Bank. So far, 500 can have been collected. WRITE a

n inequality to find the number of can the school can collect on each of the final 5 days to meet their goal.
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

The in equality representing the number of can school can collect each day is 500+5x\geq 3000.

Eddy MS school has to collect at least 500 cans in each day.

Step-by-step explanation:

Number of cans Eddy has = 500

Number of days left = 5

Target to achieve = 3000

Let number of cans which can be collected in each day be 'x'.

Now we know that;

Number of can he has plus number of can which can be collected in each day multiplied with number of days left should be greater than or equal to 3000

Framing in equation form we get;

500+5x\geq 3000

Hence, The in equality representing the number of can school can collect each day is 500+5x\geq 3000.

Solving the same we get;

500+5x\geq 3000.

Subtracting Both side with 500 using Subtraction property for Inequality we get;

500+5x-500\geq 3000-500\\\\5x\geq 2500

Now Dividing both side by 5 using Division property of Inequality we get;

\frac{5x}{5}\geq\frac{2500}{5}\\\\x\geq 500

Hence Eddy MS school has to collect at least 500 cans in each day.

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schepotkina [342]

check the picture below.


GH = -6 + 2(8) = 10.

6 0
3 years ago
The ratio of a to b is 3:5. If angle b 85° what is the size of angle C?
Veronika [31]

Answer: 51°

Step-by-step explanation:

3:5

x:85°

85/5=17

3x17=51

So, 51° is the answer!

Hope this helped! ;)

8 0
3 years ago
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Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m
guajiro [1.7K]

For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

(original amount) (percent) = new amount

The new amount is the amount that Jacqueline earns for 12% of the commission on sales.

We have then:

m (0.12) = 200

Clearing m we have:

m =\frac{200}{0.12}\\m = 1666.7

  Answer:

The equation that solves the problem is:

m (0.12) = 200

The amount she sold is:

m = 1666.7

3 0
3 years ago
Read 2 more answers
5 to 2 = __ to 4 and also 14 to 21 = __ to 15
nasty-shy [4]
1) Set up proportions for the ratios:

\frac{5}{2} =  \frac{x}{4}

Cross multiply the fractions:

2x = 20

Divide both sides by 2 to get x by itself.

x = 10

5 to 2 is equal to 10 to 4.
------------
2) Set up proportions for the ratios:

\frac{14}{21} =  \frac{x}{15}

Cross multiply the fractions:

21x = 210

Divide both sides by 21 to get x by itself:

x = 10

14 to 21 is equal to 10 to 15.
------------
OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.

\frac{14}{21} / \frac{7}{7} =  \frac{2}{3}

Then, continue with the problem as described above:

\frac{2}{3} = \frac{x}{15}

3x = 30

x = 10
8 0
3 years ago
Three potential employees took an aptitude test. each person took a different version of the test. the scores are reported below
timama [110]

Answer:

Vincent and Reyna.

Step-by-step explanation:

As z-score indicates that a data point is how many standard deviation above mean, so to find which of three applicant should be offered the job, let us find the z-score for each person using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z= z-score,

x= Random sample score,

\mu= Mean,

\sigma= Standard deviation.

\text{z-score for Vincent}=\frac{83.5-68.2}{9}

\text{z-score for Vincent}=\frac{15.3}{9}

\text{z-score for Vincent}=1.7

Therefore, Vincent's score on aptitude test is 1.7 standard deviation above mean.

\text{z-score for Kaitlyn}=\frac{251.2-238}{22}

\text{z-score for Kaitlyn}=\frac{13.2}{22}

\text{z-score for Kaitlyn}=0.6

Therefore, Kaitlyn's score on aptitude test is 0.6 standard deviation above mean.

\text{z-score for Reyna}=\frac{8.04-7.2}{0.7}

\text{z-score for Reyna}=\frac{0.84}{0.7}

\text{z-score for Reyna}=1.2

Therefore, Reyna's score on aptitude test is 1.2 standard deviation above mean.

Since Vincent and Reyna has higher z-scores, therefore, they are further above mean than Kaitlyn. Therefore, Vincent and Reyna should be offered the job.

7 0
3 years ago
Read 2 more answers
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