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baherus [9]
3 years ago
12

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there

be?
5: Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

please show your work!! and thank you!!
Mathematics
1 answer:
kherson [118]3 years ago
6 0

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

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Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How
Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
7 0
3 years ago
The product of 1540 and m is a square number. find the smallest possible value of m
aliina [53]

The smallest possible value of m according to the task is; 1/1540.

<h3>What is the smallest possible value of m?</h3>

Since it follows from the task content that the product of 1540 and m is a square number and the smallest possible small number is; 1.

The equation which holds true is; 1540 × m = 1

Consequently, m = 1/1540.

Read more on square numbers;

brainly.com/question/123907

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5 0
2 years ago
What is Probability?​
nataly862011 [7]
Probability is about estimating or calculating how likely or 'probable' something is to happen.
3 0
3 years ago
Solve the inequality
GenaCL600 [577]
-1 < c + 2 < 3....subtract 2 from all sections
-1 - 2 < c + 2 - 2 < 3 - 2...simplify
-3 < c < 1
==============================
32 > 16 - 4g > 12....subtract 16 from all sections
32 - 16 > 16 - 16 - 4g > 12 - 16....simplify
16 > -4g > -4 ...now divide all sections by -4, and change inequality signs
16/-4 < (-4/-4)g < -4/-4...simplify
-4 < g < 1
============================
6y + 1 > = 10
6y > = 10 - 1
6y > = 9
y > = 9/6 which reduces to 3/2 or 1 1/2

-3/2y > = 9 ....multiply both sides by -2/3, cancelling the -3/2 on the left...and change the inequality sign
y < = 9 * -2/3
y < = -18/3 which reduces to - 6

so y > = 9/6(or 1 1/2) or y < = -6


3 0
3 years ago
Joey earns $12 an hour. Blake earns $16 per hour. Joey receives a raise of $1.50 every six months, and Blake receives a raise of
tino4ka555 [31]

*12 + 1.5x = 16 + 0.50x*

That's the answer, since I'm late.

This is correct because when setting up this sentence as an equation, you need to look at the numbers and how they're used. There are independents and dependents.

indep.:

12,16

dep.:

1.50,0.50

Furthermore, there are 1 of each on both sides of the equation, match them from the equation by name and you get the answer.

3 0
3 years ago
Read 2 more answers
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