MATHEMATICS HIGH SCHOOL

6 times the sum of a number and 15 is -42

Answers

Answer 1

Answer:

Answer:

x=-22

Step-by-step explanation:

6(x+15)=-42

6x+90=-42

6x=-132

x=-22

Answer 2

Answer: Maybe - 9.5? Cause 6• -9.5 = -57 + 15 = -42

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Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actual length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?

Answers

Answer: $3240\ cm^2$

Step-by-step explanation:

Given: The actual length of the classroom= 18 feet

The actual width of the classroom= 20 feet

Scale factor =3 centimeters per foot

i.e. 1 foot = 3 cm

Therefore, The length of the classroom in drawing= $3*18=54\ feet$

The width of the classroom in drawing= $3*20=60\ cm$

Now, the area of the scale drawing of the classroom :-

$l* w=54*60=3240\ cm^2$

Hence, the area of the scale drawing of the classroom = $3240\ cm^2$

Answer:

3240 cm. sq. is your answer

Sammy has $0.37 in his pocket he only has four coins.What coins does he have in his pockets??

Answers

Sammy would have a quarter (25 cents) a dime (10 cents) a penny (1 cent) and another penny (1 cent).

Suppose an investment of $2,300 doubles in value every decade. The function gives the value of the investment after x decades. f(x)=2300*2^x How much is the investment worth after 2 decades?a.$2,355,200
b. $92,000
c. $46,000
d. $9,200

Answers

f ( x ) = 2,300 * 2^x
After 2 decades: x = 2.
f ( 2 ) = 2,300 * 2 ^2 = 2,300 * 4 = 9,200
Answer:
D ) $9,200

Answer:

1. no

2. 2,684,354,560 crickets

3. $9,200

4. b

5. 7.5

6.b

What numbers multiply to -35 and add up to -2?

Answers

The numbers are -7 and 5. It can be expressed as this (x-7)(x+5)=0 if thats what you're doing.

-7 and 5 because when adding and subtracting a negative and a positive is negative same for multiplying

A ball is dropped form a height of 100 inches. The ball bounces, each time reaching a lower and lower height. The height of each bounce is 75% of the previous bounce. What height will the ball reach after bouncing four times? How many bounces does it take for the ball to reach a height of less than one inch?

Answers

After the 'n'th bounce, the ball returns to a maximum height of

   (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,    (100) (0.75)^x = 1

Let's take the log of each side: log(100) + x log(0.75) = 0

Subtract log(100) from each side: x log(0.75) = -log(100)

Divide each side by log(0.75) :     x = -log(100) / log(0.75).

log(100) = 2 . So ... x = -2 / log(0.75) = -2 / -0.124939 = 16.00785

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.

75% of a number is as much as 3/4 of the same number, so:

1st bounce: 3/4 * 100 = 75
2nd bounce: 3/4 * 75 = 56,25
3rd bounce: 3/4 * 56,25 = 42,1875
4th bounce: 3/4 * 42,1875 = 31,640625
5th bounce: 3/4 * 31,640625 = 23,73046875
6th bounce: 3/4 * 23,73046875 = 17,7978515625
7th bounce: 3/4 * 17,7978515625 = 13,348388671875
8th bounce: 3/4 * 13,348388671875 = 10,01129150390625
9th bounce: 3/4 * 10,01129150390625 = 7,508468627929688
10th bounce: 3/4 * 7,508468627929688 = 5,631351470947266
11th bounce: 3/4 * 5,631351470947266 = 4,223513603210449
12th bounce: 3/4 * 4,223513603210449 = 3,167635202407837
13th bounce: 3/4 * 3,167635202407837 = 2,375726401805878
14th bounce: 3/4 * 2,375726401805878 = 1,781794801354408
15th bounce: 3/4 * 1,781794801354408 = 1,336346101015806
16th bounce: 3/4 * 1,336346101015806 = 1,002259575761855
17th bounce: 3/4 * 1,002259575761855 = 0,7516946818213909

Answers:

After bouncing four times, the ball will reach a height of 31,640625 inches.
The ball will reach a height of less than one inch after 17 bounces.

PS: I know it's kind of a walk-around, by it still gives us the answer :)

Factor completely 16x2 + 40x + 25.(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

(4x + 5)(4x + 5)