MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

-36 or -1/36

Step-by-step explanation:

(2/3)a = -24

a = -24×3/2 = -36

If it's 2/(3a) = -24

3a = 2/-24

3a = -1/12

a = -1/36

Always put a bracket to avoid confusion

Answer:

Answer:

36

Step-by-step explanation:

Solve for A:

Divide 2/3 from both sides to get a. The left side cancels 2/3 out and 24 divided by 2/3 is 24/1 times 3/2 is 72/2. 72/2 is equivalent to 36.

HIGH SCHOOL

One of the factors of x² -

x – 6 is How do i work this out on paper?

X^2 -x- 6 equals (x-3)(x+2). Just look at the negative six and think, what two numbers give me this? Then, get a pair of what you find, and see if the two numbers added equal to negative one (which comes from the negative "x" as the coefficient is always 1). That's how you get -3 and +2.

Could you re-write that for me?

I'm not sure I'm understanding it right.

I'm not sure I'm understanding it right.

HIGH SCHOOL

A football player gained 2 yards on one player. On the next play, he gained 5 feet. Was his gain greater on the first play than the second play. Plz explain

The first play; 2 yards equal to 6 feet which is greater than 5 feet

The awnser is the first play

MIDDLE SCHOOL

Yoshi is 5% taller today than she was one year ago. Her current height is 168 cm. How tall was she one year ago

155.6 CM

I divided 168 by 100 to find 1% then i got 1.68cm then I times that by 5 to find 5% which was 8.4cm. Finally I subtracted 168 and 8.4 to get 155.6 CM

I hope that helped :)

I divided 168 by 100 to find 1% then i got 1.68cm then I times that by 5 to find 5% which was 8.4cm. Finally I subtracted 168 and 8.4 to get 155.6 CM

I hope that helped :)

5% of 168:

simplify 5%=1/20

1/20 of 168=8.4

so this year Yoshi is taller than last year 8.4cm

->168-8.4=159.6cm

Yoshi was 159.6cm last year

simplify 5%=1/20

1/20 of 168=8.4

so this year Yoshi is taller than last year 8.4cm

->168-8.4=159.6cm

Yoshi was 159.6cm last year

MIDDLE SCHOOL

Solutions to equation x^2 + x - 30 = 12 using zero product property

Answer:

Our solutions are x= -7 , x=6

Step-by-step explanation:

x²+x-30=12

First we calculate the constants:

x²+x-30-12=0

x²+x-42=0

Now split the middle term:

x²+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7)(x-6)=0

As we know that:

a.b=0

⇒either a=0 or b=0

(x+7)=0 , (x-6)=0

x=0-7 , x=0+6

x= -7 , x=6

So our solutions are x= -7 , x=6....

MIDDLE SCHOOL

Solve the inequalities 1. 2y - 2 < 14

A. y > 6

B. y > 8

C. y < 8

D. y < 6

25 > 1 - 3d

A. d < -8

B. d > 8

C. d < 8

D. d < -8

1 is C, since it is anything less than 8, so 7 times 2 is 14 minus 2 is 12.

2 is C, since it is anything less than 8, so 7 times 3 is 21, and 1 minus 21 is -20.

2 is C, since it is anything less than 8, so 7 times 3 is 21, and 1 minus 21 is -20.

MIDDLE SCHOOL

Is y=19x-5 a proportional relationship?

to be a proportional relationship it must go thru (0,0) if x=0 y=-5 so it is not proportional

MIDDLE SCHOOL

Evaluate the series 4+2+1+1/2+1/4 to s10

Answer:

Step-by-step explanation:

4+2+1+1/2+1/4.....

WE need to find out the sum s10

first term is 4 and second term is 2

2/4 = 1/2

1/2= 1/2

1/2 / 1= 1/2

so common ratio is 1/2

The given series is geometric series

we use the sum formula for the geometric series

Where 'r' is the common ratio and 'a' is the first term

a= 4 and r= 1/2

Plug in the values in the sum formula'

Given n=10

Answer:

The correct answer is 13.75

Step-by-step explanation:

4+2= 6

6+1=7

6+7= 13

13+1/2= 13.5

13.5+1/4= 13.75

MIDDLE SCHOOL

1/3(-12k+30)=6+15k

Solve for k

Answer: k = 4/9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

k = 4/19

Step-by-step explanation:

1/3 (- 12k + 30) = 6 + 15k

- 12/3k + 30/3 = 6 + 15k

- 12/3k - 15k = 6 - 30/3

- 12/3k - 15/1k = 6/1 - 30/3

- 12/3k - 45/3k = 18/3 - 30/3

- 57/3k = - 12/3

- k = - 12/3 / 57/3

- k = - 12/3 * 3/57

- k = - 12/57

k = 12/57

k = 4/19

HIGH SCHOOL

An animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. Camden found a record showing that there were a total of 30 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

Answer: 13 cats were at the shelter on Thursday.

Step-by-step explanation:

Let x represent the number of cats that were at the shelter on Thursday.

Let y represent the number of dogs that were at the shelter on Thursday.

Camden found a record showing that there were a total of 30 cats and dogs on Thursday. This means that

x + y = 30

The animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. This means that

2.5x + 4y = 100.5 - - - - - - - - - - - - 1

Substituting x = 30 - y into equation 1, it becomes

2.5(30 - y) + 4y = 100.5

75 - 2.5y + 4y = 100.5

- 2.5y + 4y = 100.5 - 75

1.5y = 25.5

y = 25.5/1.5

y = 17

x = 30 - y = 30 - 17

x = 13