The area of a rectangle is 84 inches. It has a length of x−2 and a width of x+3. What are the dimensions of the rectangle?

Answer:

d

Step-by-step explanation:

Answer:

[tex]3\frac{1}{2}[/tex]

Step-by-step explanation:

If the ruler is divided into 2 equal parts, divide 7 inches by 2

7/2 = 3.5 or 3[tex]\frac{1}{2}[/tex]

Answer:

n hh hhbbhvhj vhvhjl

Step-by-step explanation:

Answer:

x=y+10

1x+1y=64 d

y=27 year book club

x=37 drama club

Step-by-step explanation:

x=y+10

1x+1y=64 d

y+10+y=64

2y+10=64

2y=54

y=27

x=37

Answer:

Part A)

[tex]x=10+y\\\\ x+y=64[/tex]

Part B)

There are 37 students in the drama club.

And there are 27 students in the yearbook club.

Step-by-step explanation:

We know that there are 64 students in total in a drama and yearbook club.

The drama club has 10 more students than the yearbook club.

We will let x represent the number of students in the drama club and y represent the number of students in the yearbook club.

Part A)

Since the drama club (x) has 10 more students than however many the yearbook club (y) has, we can write:

[tex]x=10+y\\[/tex]

And since there are in total 64 students, x plus y must equal that sum. So:

[tex]x+y=64[/tex]

Part B)

We can substitute the first equation into the second:

[tex](10+y)+y=64[/tex]

Combine like terms:

[tex]2y+10=64[/tex]

Subtracting 10 from both sides:

[tex]2y=54[/tex]

Dividing by 2:

[tex]y=27[/tex]

So, the amount of students in y or the yearbook club is 27 students.

Since the drama club has 10 more, there are 37 students in the drama club.

Answer:

option c/3rd answer

Step-by-step explanation:

srry dont have an explanation

Answer:

is seems to be multiplied by 0.5 for each term so 24,12,6,3,1.5,0.75,0.375,and 0.1875 the eighth term is 0.1875

Step-by-step explanation:

Answer:

$2250

Step-by-step explanation:

First, find how much more Jayden will get each month by doing 2.5% of 5000, or multiplying 0.025 * 5000 = $125 per month.

Then, since Jayden is leaving it there for 18 months, you can do 125 * 18 = 2250.

The interest he will earn is $2250

Answer:

Step-by-step explanation:

Given expression:

Solving for p:

Answer:

Step-by-step explanation:

here you go mate

step 1

- 10p + 3(8 + 8p) = -6(p - 4)  equation

step 2

- 10p + 3(8 + 8p) = -6(p - 4)  simplify by distributing

14p+24=-6p+24

step 3

14p+24=-6p+24  subtract 24 from each sides

20p=0

step 4

20p/20=0/20  divide both sides by 20

answer

p=0

Answer:

x=-3 y=-5

Step-by-step explanation:

y = x + 8

X + y = 2

First take the first equation and input it into the second equation.

X+ (x+8)= 2

Now simplify

X+x+8=2

2x+8=2

    -8=-8

2x= -6

÷2   ÷2

x= -3.

Now that you have the x value, input it into the first equation to find y.

y= (-3) +8

y= -5

The solution to the given system of equations is x = -3 and y = 5.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question:

y = x + 8  ...(i)

x + y = 2  ...(ii)

We have to determine the solution to the given system of equations.

Solving given equations using the substitution method.

First, substitute the value of the equation y = x + 8 in equation (ii), and solve for x:

x +  x + 8 = 2

2x + 8 = 2

2x = 2 - 8

2x = -6

x = -3

Now, substitute the value of the equation y = x + 8 in equation (ii), and solve for y:

y = -3 + 8

y = 5

Thus, the required solution is x = -3 and y = 5.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

Option A : 15x² + 62x + 63 is the correct answer.

Step-by-step explanation:

Given measurements of the figure are:

5x + 9 and 3x + 7

We have to find the area. We can find the area by multiplying the two expressions.

Area = (5x+9) * (3x+7)

Area = 5x (3x+7) +9(3x+7)

Area = 15x² + 35x + 27x + 63

Area = 15x² + 62x + 63

Hence,

Option A : 15x² + 62x + 63 is the correct answer.

Answer:

b

Step-by-step explanation:

Answer: A rotation 180 counterclockwise about the origin

Fingure u is turned a half circle counterclockwise to form figure V

Answer: I think the answer is B

Step-by-step explanation:

8(x-4) = 8(1-4) = 8-32

2(4x-16) =2(4*1-16) = 8-32

8(x-4) = 8(2-4) = 16-32

2(4x-16) = 2(4*2-16) = 16-32

Answer:

B. Infinitely many solutions.

Step-by-step explanation:

8(x - 4) = 2(4x - 16)

^--This is the original equation.

If we replace x with 1...

we have the same equation, but we add an extra set of brackets. (You'll see why in a second)

8(1 - 4) = 2{4(1) - 16}

1 - 4 = -3

We start by subtracting 4 from 1. When using positive numbers, we can't do this, however. This gets us to -3. leave it in the parenthesis though!

8(-3) = 2{4(1) - 16}

4(1) = 4

Now, the reason we made an extra set of brackets is because 4x is asking you to multiply 4 by x. but as a number, you have to make an extra set of parenthesis to show that. 4 x 1 = 4 so it stays as a 4.

8(-3) = 2(4 - 16)

^-- Now, we are given this new equation. We'll move away from 8(-3) for just a second, to finish the other parenthesis. But still don't remove the parenthesis for 8(-3)!

4 - 16 = -12

We know that 4-16 would also not be possible with positive numbers, but for this equation, as said before.. you're using negative numbers. so 4 - 16 = 12

8(-3) = 2(-12)

^-- And again, we have a new equation. 8(-3) = 2(-12). Don't remove the parenthesis, as I have said before.

8(-3) = -24

Again, the equation shows with parenthesis, it wants us to multiply. Now we take 8, and multiply it by -3. This is a bit tricky, as it is with negative numbers. But in the end, you should have -24.

-24 = 2(-12)

^--The equation becomes -24 = 2(-12). We'll have to multiply again, so keep the parenthesis.

2(-12) = -24

2(-12) Is also asking you to multiply, so now we do the same as before, which again, is a bit tricky because we are using negative numbers. You should end up with -24 though.

-24 = -24

^--Now, you have -24 = -24. This is true since both are the same number.

8(x - 4) = 2(4x - 16)

^-- Here's our wonderful equation again! Let's replace X with a 2 this time!

If you don't understand, read the tips from above to understand what I'm doing in the following equations!

8(2 - 4) = 2{4(2) - 16}

2 - 4 = -2

8(-2) = 2{4(2)-16}

4(2) = 8

8(-2) = 2(8 - 16)

8 - 16 = -8

8(-2) = 2(-8)

8(-2) = -16

-16 = 2(-8)

2(-8) = -16

-16 = -16

And again, we get the same two numbers!

Hope I helped! <3

Answer:

English: the diagonal length and probably be 22.2

Spanish: la longitud diagonal y probablemente sea 22,2

Answer:

e=15.33

t=17.88

Step-by-step explanation:

e/9.1=9.6/5.7

cross multiply

5.7e=87.36

e=15.33

t/9.1=11.2/5.7

cross multiply

5.7t=101.92

t=17.88

Answer:

The tree is 15 feet tall.

Step-by-step explanation:

Given that:

Height of tree last year = 5 feet tall

Height of tree this year = Height of Pedro's house - 2 feet

Height of Pedro's house = 17 feet

Height of tree this year = 17 - 2

Height of tree this year = 15 feet

Hence,

The tree is 15 feet tall.

Answer:

y=-2x

Step-by-step explanation:

The y-intercept is 0 so b is 0

and it is going down   2 right 1 so it is -2/1  -2/1 =-2 so it is y= -2x

Answer:

y = -2x + 0

Step-by-step explanation:

y = mx + c

m = gradient and c = y intercept ( the point where the line intercepts the y axis)

Firstly, we can tell the gradient is negative because it has a negative slope (sorta like down a hill) where as x increases y decreases.

To calculate the gradient you use the equation y/x

Pick anywhere on you graph and measure. I have taken from (0,0) to (0,-4) for y and (0,-4) to (2,-4) for x.

Next subtract them (0,-4) - (0,0) = 0,-4. Then take that - 4 for y

Next subtract for them for x (0,-4) - (2,-4) = 0- 2 and -4 -(-4)

                                                                    = -2 and -4 + 4 = 0

                                                                    = -2

So y = -4 and x = -2

y/x = 4/2 = 2

Because we know our gradient is negative add a minus and we get our gradient as -2

For y intercept simply find where the line crosses through the y axis, which in this question happens to be 0

answer = -2x + 0

Answer:

3y + 2 =

Step-by-step explanation:

7y - 4y = 3y

3y and 2 are not like terms, so you can't add any further

Answer:

100 inches to teh third power

Step-by-step explanation:

V=lwh

V=10*5*2

V=50*2

V=100

Answer:

=100

Step-by-step explanation:

You solve for volume by doing length*width*height=volume

10*5=50

50*2=100

Answer:

I think the answer is  D

Step-by-step explanation:

Answer:

idek

Step-by-step explanation:

Answer:

(1,-3)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer:

(-3,-6)

Step-by-step explanation:

I can't really explain it, sorry about that.

Answer:

80 an36

Step-by-step explanation:

Answer:

is 7.5 hope i help

Step-by-step explanation:

u put them in order from least to greatest

1 , 4, 6, 9, 15, 19

then  take out one number from each side after that u are left with 6 and 9 and whats in the middle of does two numbers ? well u just estimate and it might be 7.5

Step-by-step explanation:

I) 9+9+9+9=36

Ii)radius is 4.5 L=2piR= 2pi(4.5)= 9pi

Iii) A=piR^2= pi(4.5)^2 = 20.5pi

IV) 9×9 =81

V) 81-20.5pi = 16.597

Answer:

this is a required answer.