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slavikrds [6]
3 years ago
6

How do you solve this?

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0
Can you posted a picture
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What is the expression after applying the distributive property?<br><br> −3.1(−9+(−7))
s344n2d4d5 [400]
-31 because if you do p.e.m.d .a .s
7 0
3 years ago
The length of a swimming poollane
Hunter-Best [27]

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the  length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

8 0
3 years ago
17. A company wanted to determine what percentage of its employees stayed for at least 1, 2, and
Vikki [24]

Answer:

Option B. 0.71

Step-by-step explanation:

There are 200 males and 300 female employees in the company.

The percentage of its employees are given who stayed for at least 1, 2 and 3 years.

                    1 year          2 years          3 years

Male              0.67              0.45             0.20

Female         0.73               0.64              0.39

Number of male employees who stayed at least one year = 0.67 × 200

                                                                                                 = 134

Number of female employees who stayed at least 1 year = 0.73 × 300

                                                                                               = 219

Total employees who stayed at least 1 year = 134 + 219 = 353

Total employees in the company = 200 (males) + 300 (females)

                                                       = 500 employees

Probability that an employee stayed for at least one year = \frac{353}{500}

                                                                     = 0.706 ≈ 0.71

Option B 0.71 is the answer.

8 0
3 years ago
Read 2 more answers
A drawing of a room has a scale of 1 4 inch = 1 ft. Which choice does NOT represent a proportional relationship, according to th
zimovet [89]
Nr 1 ) 1 inch drawing should be 4 feet actual
5 0
4 years ago
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Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest
hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0
4 years ago
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