1. 2*3= 2 8*2=
3. (8/9)*3=
4. (1/2)*6=
5. (3/4)*3=
6. (1/6)*3=
7. 15*0=
8. 1.2*2=
9. Find the factors of the number. Enter the factors from least to greatest.
72
The (12) factors are
10. Find the factors of the number. Enter the factors from least to greatest.
90
The (12) factors are
11. Find the prime factorization of the number.
39
The prime factorization is
12. Find the prime factorization of the number using exponents.
275
The prime factorization is
13. Find the prime factorization of the number using exponents.
1,872
The prime factorization is
14. Find the prime factorization of the number using exponents.
4,900
The prime factorization is
15. Simplify using order of operations.
(27 − 7) ÷ 22 =
16. Simplify the expression using the order of operations.
52 × (20 ÷ 5) =
17. Simplify the expression using the order of operations.
14 + 28 ÷ 4 − 24 =
18. Simplify the expression using the order of operations.
(64 + 6) ÷ 5 − 32 =

19. Simplify the expression using the order of operations.
The nature park has a pride of 9 lions and 7 cubs. The adults eat 8 pounds of meat each day and the cubs eat 4 pounds. Simplify 9 × 8 + 7 × 4 to find the amount of meat consumed each day by the lions.
The lions consume (blank)
pounds of meat each day.

20. How do you use numerical expressions to solve real-world problems?
Write an (select) (exercise, equation, expression) to model the situation. Simplify by using the (select) (greatest common factor, order of operation, least common multiple). First perform operations in (select) (denominators, parentheses, numerators), then find the value of each (select) (product, power, quotient), (select) (add or subtract, multiple or divide) from left to right, and finally (select) (add or subtract, multiple or divide) from left to right.

perimeter of the first rectangular board is 9 feet.

step-by-step explanation:

let p = perimeter of first board.

l = length of first board

w = width of first board

length of first board = 2 * width of first board - 3

l = 2w - 3

perimeter of first board = 2l + 2w

since l = 2w-3, then

p = 2*(2w-3) + 2w which equals 4w-6 + 2w which equals 6w-6

length and width of the second board are reciprocals of corresponding length and width of the first board.

length of second board = 1/(2w-3)

width of second board = 1/w

perimeter of second board is 1/5th perimeter of the first board.

perimeter of second board = p/5

perimeter of the second board = (2/(2w-3) + 2/w)

since the perimeter of the first board is 5 times the perimeter of the second board, this means that:

6w-6 = 5*(2/(2w-3) + 2/w)

which is the same as:

6w-6 = (10/(2w-3) + 10/w)

if we multiply both sides of this equation by (2w-3), we get:

(6w-6)*(2w-3) = 10 + 10*(2w-3)/w

if we multiply both sides of this equation by w, we get:

(6w-6)*(2w-3)*w = 10*w + 10*(2w-3)

we can simplify this to become:

(6w-6)*(2w-3)*w = 10w + 20w - 30

which becomes:

(6w-6)*(2w-3)*w = 30w-30

if we divide both sides of this equation by (6w-6), we get:

(2w-3)*w = (30w-30)/(6w-6)

which becomes:

(2w-3)*w = 5

this can be simplified to:

2w^2 - 3w = 5

subtract 5 from both sides of this equation to get:

2w^2 - 3w - 5 = 0

which can be factored into:

(2w-5)*(w+1) = 0

which makes:

w = 5/2

or

w = -1.

w can't be negative so the only possible answer is w = 5/2.

if w = 5/2, then

p = 2w-3 = 5-3 = 2

we have:

p = 2

w = 5/2

p = 2l + 2w gets p = 4 + 5 = 9

the perimeter of the first board is 9 feet.

since the perimeter of the second board is 1/5 the perimeter of the first board, the perimeter of the second board is 9/5.

to see if that's correct, we substitute known values for l and w into the second board.

the length of the second board is 1/l.

this becomes 1/2.

the width of the second board is 1/w

this bgecomes 1/(5/2) = (2/5)

let l2 = length of second board.

let w2 = width of second board.

l2 = (1/2)

w2 = (2/5)

let p2= perimeter of second board.

then p2 = 9/5

since p2 = 2*l2 + 2*w2, we should get p2 = 9/5 using the dimensions of l2 and w2.

2 * l2 = 2 * (1/2) = 1

2 * w2 = 2 * (2/5) = 4/5

1 is the same as 5/5

5/5 + 4/5 = 9/5

p2 checks out good.

the dimensions as given are good.

answer to the problem is:

perimeter of the first rectangular board is 9 feet.

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.

answer: i think you should do the math and pay attention in class : )

step-by-step explanation:

that is truly what   think but if i get the answer i will

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points