MATHEMATICS HIGH SCHOOL

Simplify the following expression.(45x + 64y) - (3x - 16y)
A.42x - 80y
B.42x - 48y
C.42x + 80y
D.42x + 48y

Answers

Answer 1
Answer: (45x + 64y) - (3x - 16y)

First, simplify to remove brackets. / Your problem should look like: 45x + 64y - 3x + 16y
Second, gather like terms. / Your problem should look like: (45x - 3x) + (64y + 16y)
Third, simplify. / Your problem should look like: 42x + 80y

Answer: C) 42x + 80y
Answer 2
Answer: (45x + 64y) - (3x - 16y)
45x + 64y -3x +16y
42x+64y+16y
42x+80y
The answer is:C. 42x+80y

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Mexine can stack 20 boxes in 15 minutes. how long will it take her to stack 100 boxes

Answers

lets use a rule of three simple with direct proportion to solve:
 20 boxes -----> 15 min
100 boxes ----> x
x = (100)(15)/20
x = 75
therefore it takes 75 mins to stack 100 boxes

If we use fractions to solve:
15/20 = x/100
and solve for x.
20/15 = 100/y
solve for y

carla has two lengths of ribbon. one ribbon is 2 feet long. the other ribbon is 30 inches long.which length of ribbon is longer?explain.

Answers

1 ft = 12 in
2 ft = 24 in
So the 2nd ribbon is larger
1 foot = 12 inches
2 feet = 24 inches

24 < 30 
so the ribbon that is 30 inches is longer

A soccer coach is marking the lines for soccer field on a large recreation field. The dimensions of the field are to be 90 yards by 48 yards. Describe a procedure she could use to confirm that the sides of the field meet at the right angles.

Answers

Hello,

Diagonals of a rectangle must have the same measure.
You don't need to know the dimension of the diagonal but only if they are equals.

(√(90²+48²)=102 (yd))

Answer:

B

Step-by-step explanation:

What percent of 55 is 34

Answers

So,

To what percent 34 is of 55, we first need to find the fraction equivalent.

34 out of 55 parts or 34/55

Divide 34 by 55.

34/55 = 0.61818...

Now, we move the decimal point 2 places to the right in order to convert it to a percent.

6.1818...
61.81818...

Rounded to the nearest hundredth: 61.82%
Rounded to the nearest tenth: 61.8%
Rounded to the nearest percent: 62%

PLEASE HURRY According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth.P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction

0.024

0.031

0.132

0.309

Answers

Answer:

0.309

Step-by-step explanation:

→ Utilise the binomial distribution formula

p=nCr*p^(n) *q^(n-r)

→ It first will be 5C2 as there is 5 possible voters but he wants 2 voters

p=5C2*p^(n) *q^(n-r)

→ Then it will be 0.3^(2) as the probability they are in favour is 0.3 and we get the n from the 2 number for the 5C2

p=5C2*0.3^(2) *q^(n-r)

→ There for q will be 0.7 as it is the other probability left and the power will be 3 as it is n - r

p=5C2*0.3^(2) *0.7^(3)

→ Then getting 0.3087 which is 0.309

Answer:

Option D) 0.309

Step-by-step explanation:

Correct on edge

The value of √-9 is not -3 because_______.A. 9^2 not congruent to -3
B. (-3)^2 not congruent to -9
C. 3^2 not congruent to -9
D. (-9)^2 not congruent to -3

Answers

B, because -3^2 is not -9. -3*-3 = 9, square roots of negative numbers aren't possible, because no number squared can be equal to them. Instead, they are expressed in terms of "i", which is defined as

i^2 = -1
The value of √-9 is not -3 because B. (-3)^2 not congruent to -9. 

This is the answer because, (-3)^2 = 9 NOT -9. Any negative squared is equal to the positive squared. E.g. 2^2=4 & (-2)^2=4. Another tip is that in the number in the square root sign is negative the answer is no solution as it is impossible to square a number and get a negative answer. 
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