Alison has 63 books on her bookshelf. If she plans on donating ⅓ of her books, how many will Alison have left on her bookshelf?

Answer:

The 2 numbers = 81 and 83

Step-by-step explanation:

As, one number = x

The other, because it's an even number and consecutive = x + 2

So the larger numbef here is x + 2

And they are saying 3 times x + 2 plus x = 330

So let's solve!

3 times x + 2 = 3(x+2) = 3x + 6

So we will add it to x = (3x + 6) +(x) = 4x + 6

So they are saying the sum of them will be 330

So, 4x + 6 = 330

4x = 330 - 6

4x = 324

x = 324/4

x = 81

So x is the first number = 81

And the second is x + 2 = 81 + 2 = 83

So the 2 numbers are 81, 83

Lets check!

3 times the bigger number = 83 x 3 = 249

We will add it to 81 and we will get 330

So, 249 + 81 = 330

So the answer is right

Answer:

-8

Step-by-step explanation:

10 -2b^2

Let b=-3

10 - 2( -3)^2

Do the exponent first

10 -2(9)

Multiply

10 -18

Subtract

-8

Answer:

- 8

Step-by-step explanation:

Given

10 - 2b² ← substitute b = - 3 into the expression

= 10 - 2(- 3)²

= 10 - 2(9)

= 10 - 18

= - 8

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Answer:

type the variable of that segment into the boxes correspondingly

Step-by-step explanation:

Answer:

y=-4/3x

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

The line going horizontal is the X-axis. And they line going up and down is the y-axis. The way you write the location of a point is (X,Y). Hope this helps!!

Answer:

????????????????????

Answer:

A = 101 degrees         d = 97 degrees

Step-by-step explanation:

180 - 79 = 101    as angles in a straight line = 180

101 + 79 + 83 = 263

360 - 263 = 97 degrees

Answer:

2000/4×500=250000sheets

Step-by-step explanation:

Answer:

always true

Step-by-step explanation:

Given

2(x + 3) = 5x + 6 - 3x ← distribute left side

2x + 6 = 2x + 6

Since both sides are equal then any real value of x is a solution.

Thus the equation is always true

Answer:

2.0 , 2/1.

1.35 , 1  7/20.

1.52, 1 13/25

0.0003, 3/10000

0.0045, 9/2000

Step-by-step explanation:

1.35 =  1 35/100 = 1 7/20

1.52 = 1 52/100 = 1 13/25

0.0045 = 45/10000 = 1 9/2000.

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

Answer:

A

Step-by-step explanation:

its the most logical one to me

Answer:

A

Step-by-step explanation:

Answer:

B. 6 sides

Step-by-step explanation:

Interior angles of a n side Regular Polygon = (180n – 360) / n

120 = (180n – 360) / n

120n =180n - 360

180n - 120n = 360

60n = 360

n = 6

check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720

720/6 = 120

Answer:

-1/6

Step-by-step explanation:

To get the slope we need the equation in the form y=mx+c, and m is the slope.

2x+12y=192

12y = -2x + 192

y = -2/12 x + 16

-2/12 is the slope but this can be simplified to -1/6

Answer:

Marsha earned interest = $850

Step-by-step explanation:

Amount deposited = $8500

Time = 2 years

Interest rate = 5% = 0.05

We need to find how much did Marsha earn in interest

The formula use is: [tex]I=P\times r \times t[/tex]

Where I is interest earned, P is amount deposited, r is interest rate and t is time.

Putting values and finding interest.

[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]

So, Marsha earned interest = $850

Answer:

[tex]9x^{2}y - 8xy^{2}[/tex]

Step-by-step explanation:

[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation

[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms

[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify

Hope this helped! <3

Answer:

b

Step-by-step explanation:

if you say 1<2 and multiply both by negative 3 you will have -3 > -6

Answer:

Step-by-step explanation:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number. You can also consider this with a number line.

I hope this helps!

Answer:

52

Step-by-step explanation:

Answer:

1. x = 21°

2. x = 30°

3. x = 7°

5 x = 3

Step-by-step explanation:

Solving for x

1. 15+ 5x + 60° = 180°

75 + 5x = 180°

5x = 180 - 75

5x = 105

x = 105/5

x = 21°

2. These angle are vertical angles

Hence:

13x - 5 = 125°

13x = 125° + 5

13x = 130

x = 130/3

x = 30°

3. 8x - 1 = 55°

8x = 55 + 1

8x = 56

x = 56/8

x = 7°

5. These angles are angles in a straight line

17x - 1 + 130° = 180°

17x + 129° = 180°

17x = 180° - 129°

17x = 51

x = 51/17

x = 3°

Answer:x= 1.5

Step-by-step explanation:

I think

Answer:

X=1.5

Steps:

11x-6=10.5

11x=16.5

x=1.5

Answer:

m = 5

Step-by-step explanation:

2x5 is 10

-4 + 10 = 6

Answer:

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

m=5

Step-by-step explanation:

Answer:

The answer is D on edg 2020

Step-by-step explanation:

brainliest plz

Answer:

Its D

Step-by-step explanation:

∠2 ≅ ∠4

Answer:

y=3x+4

Step-by-step explanation:

First, you want to get the 'y' by itself.

5y=15x+20

Now, you want to divide everything by 5.

y=3x+4

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

Answer:

yes

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

1/250

Step-by-step explanation:

0.4% = 0.004 =  [tex]\frac{4}{1000}[/tex]

divide numerator and denominator of [tex]\frac{4}{1000}[/tex] by 4 to get [tex]\frac{1}{250}[/tex]

Answer:

Step-by-step explanation:

Answer:

It is 19039 years

Step-by-step explanation:

I took the test and double checked on my calculator.