MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

The bench cost $325

Step-by-step explanation:

Garden Table + Bench = $742

g + b = $742

Garden Table - Bench = $92

g - b = $92

g = $92 + b

Substitute g into total cost equation

$92 + b + b = $742

$92 + 2b = $742

2b = $650

b = $325

The bench cost $325

Hope this helps :)

Answer: The bench was $325.00.

This could be represented as the equation x+x+92=742. You would have two x terms because you have one representing the cost for the table (x+92) and the bench (x).

Next you want to add all like terms which will give you 2x+92=742. Afterwards subtract 92 from both sides of the equation and you’ll get 2x=650. Divide on both sides by two to isolate x. X=325.

This could be represented as the equation x+x+92=742. You would have two x terms because you have one representing the cost for the table (x+92) and the bench (x).

Next you want to add all like terms which will give you 2x+92=742. Afterwards subtract 92 from both sides of the equation and you’ll get 2x=650. Divide on both sides by two to isolate x. X=325.

HIGH SCHOOL

If she chooses a song to listen to at random, what is the probability that it will be a pop song? A) 1 5 B) 1 6 C) 2 15 D) 4 15

C because it would be the best amount

Answer:

d

Step-by-step explanation:

MIDDLE SCHOOL

Decide whether each of the following statements is true. If false, demonstrate why. a. 6!= 6.5!

b. 4! + 2! = 6!

C. 6!/3!=2!

Answer:

a is the only true one if you meant 6 times 5!

Step-by-step explanation:

Before we being

n!=n*(n-1)*(n-2)*...(3)(2)(1)

Example: 5!=5(4)(3)(2)(1) and 10!=10(9)(8)(7)(6)(5)(4)(3)(2)(1)

Yes that operation is multiplication.

a) Does 6!=6*5!

Let's see

6!=6*5*4*3*2*1

5!=5*4*3*2*1

So 6*5!=6(5*4*3*2*1)=6*5*4*3*2*1=6!

So true!

b) Does 4!+2!=6! ?

4!=4(3)(2)(1)

2!=2(1)

6!=6(5)(4)(3)(2)(1)

Does

4(3)(2)(1)+2(1)=6(5)(4)(3)(2)(1)

24 +2 =720

26=720 (this is not true)

So 4!+2! is not 6!

c) Does 6!/3!=2! ?

6!=6(5)(4)(3)(2)(1)

3!=3(2)(1)

If you divide 6! by 3!, then the factors 3 and 2 and 1 cancel and you are left with 6(5)(4).

So the question becomes is 6(5)(4)=2!

2!=2(1)=2

6(5)(4)=2?

No way! That is saying 120=2 which is not true.

MIDDLE SCHOOL

Which of these angles are supplementary? A. 100o and 90o

B. 78o and 102o

C. 54o and 146o

D. 12o and 78o

Answer:

B

Step-by-step explanation:

Supplementary angles add to 180 degrees. Add each of the angles to see if they add to 180.

A. 100 + 90 = 190 NO

B. 78 + 102 = 180 YES

C. 54 + 146 = 200 NO

D. 12 + 78 = 90 NO

Answer: B. 78 degrees and 102 degrees

MIDDLE SCHOOL

Suppose a railroad rail is 2 kilometers and it expands on a hot day by 19 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?

Answer:

rail rise approximately 0.19 m above the ground

Step-by-step explanation:

as we know that

1m=100cm

and 1cm= m

similarly

19cm=m

19cm=0.19m

rail rise approximately 0.19 m above the ground