1. The length of a swimming pool is 8m longer than its width and the area is 105m2.

Answers

Answer 1

Answer: $width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

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Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile time by 25%. What is his mile time now?
What are two numbers that add up to 5 and multiply to -24
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Evaluate the expression. write answer without exponets64 to the 1/2 power
Simplify this expression: 19 – (–8) – (–14) = ? A. –7B. –3C. 41D. 25

T f(x) = x 5 - 3x 3 24 is

Answers

This question is not correct

Choose the option that best completes the statement below. In finding the number of permutations for a given number of items, _____. A) the number of permutations is limited by the number of items which are alike.
B) it doesn’t matter if some of them are indistinguishable .
C) the number of permutations is determined by the number of items that don’t repeat.
D) the number of permutations isn’t dependent on the items that repeat.

Answers

Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have: $3 P_(3)=(3)(2)(1)=6$ . Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.

Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold A.
ABA and ABA look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.

So in this case the formula would be $(3 P_(3) )/(2!)= ((3)(2)(1))/((2)(1))= (6)/(2)=3$ . We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!

Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.

17.The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the car traveling?55 – m ≥ 65; m ≥ 10 m + 65 ≤ 55; m ≤–10 65 – m ≤ 55; m ≤ 10 55 + m ≥ 65; m ≥ 10**** 18. Chris earns $7.00 per hour working on the weekends. He needs at least $210.00 for a new cell phone. How many hours, h, does Chris need to work on the weekends to buy a new phone?
h/7.00 > 210.00; h> 30; 30 hours h/7.00 < 210.00; h < 30; 30 hours 7.00h≥ 210.00; h≥ 30; 30 hours** 7.00h≤ 210.00; h ≤ 30; 30 hours

Answers

Answer:

17.) D.) 55 + m ≥ 65; m ≥ 10

18.) C.) 7.00h≥ 210.00; h≥ 30; 30 hours

Explanation:

I took the test, also your answers were right.

17. 55 + m ≥ 55

18. 210 / 7 = 30 h

h ≥ 30 hours

The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been

Answers

The population as grown 2% per year for 3 years. Therefore the country has grown by 6%.

First I would find out 10% of the population, which is 200,000. Therefore 5% would be 100,000. 1% would be 20,000. Add 5% and 1% which is 120,000.

Finally take away 120,000 from 2,000,000 which is 1,880,000. Therefore the population in 2000 would of been 1,880,000

1.What is the value of the expression? 12+6*2
-----------
18-3*5

2.What is the value of the expression when a = 6, b = 4, and c = 8?
2a
------
3b-c

3.What is the value of the expression when a = 6 and b = 4?
14a- 2(3b + 4)

4.Which word phrases can be modeled by the expression?

4n + 5

Choose exactly two answers that are correct.

A.
five added to the quotient of 4 and a number

B.
the product of 4 and a number increased by 5

C.
four times the sum of a number and 5

D.
five more than the result of multiplying 4 by a number

5.Which variable expression represents the word phrase?

seven decreased by the sum of a number and four

A.
7 – (m + 4)

B.
(m + 4) – 7

C.
7 – (m – 4)

D.
7 – m + 4

Answers

1. Answer=8
(12+6*2)/(8-3*5)=(12+12)/(18-15)=(24)/(3)=8

2.Answer=3
(2*6)/(3*4-8)=12/(12-8)=12/4=3

3.Answer=52
14*6-2(3*4+4)=84-2(12+4)=84-2(16)=84-32=52

4.Answer=A&B

5.Answer=A

Answer:

The answer is d

Step-by-step explanation:

A pair of work boots was displayed in shoe store with the price tag of $60 no one seemed interested in buying them the store manager decided to reduce the price of the by 10% still known purchased the boots the manager thought if the boots won’t sell at 10% off I might as well raise the price again so we raise the price by 10% what was the cost of not including any tax price adjust

Answers

Answer:

Firstly, when the manager lowered the $60 boot by 10%, the boot then became $54. Then, when the manager raised the boot again by 6%, we can find the new price by doing $54 multiplied by 0.06. This gave us $3.24. We then add this amount to our $54 total to get $57.24. Therefore, the new price is $57.24.

Step-by-step explanation:

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