Which of the following number sentences is an example of the Distributive Property?


7 × (10 + 9) = (7 × 10) + (10 × 9)

7 × (10 + 9) = (7 + 10) x 9

7 × (10 + 9) = (7 × 10) + 9

7 × (10 + 9) = (7 × 10) + (7 × 9)

Answer: 40%

Step-by-step explanation: The total number of pizzas is 12 + 18 = 30. Mitchel bought 12 of those 30 pizzas. To find the percentage you do the portion/total. Thus 12/30 = 0.4, as a proportion. To turn a proportion into a percentage simply multiply by 100. 0.4 * 100 = 40%

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

10 9/20

Step-by-step explanation:

Hey there!

If Hillsboro to Campbell is 16 2/20 and Hillsboro to Oxford is 5 13/20,

we’ll do

16 2/20 - 5 13/20

Imrpoper form

322/20 - 113/20

322 - 113

209/20

10 9/20 miles from Oxford to Campbell.

Hope this helps :)

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

Step-by-step explanation:

The leaving intervals are 36 and 45 minutes.

To find out the next time, first find the LCM of the two numbers.

Factorize each:

Find the LCM:

Add 3 hours to 10 AM:

Answer:

11324

Step-by-step explanation:

Area= B x H so 149 x 76= 11324

Answer:

The perimeter is 550 meters.

Step-by-step explanation:

Answer:

y = -9x + 4

The equation for slope is y=mx + b

The amount of water released from the sprinkler for 80 minutes is 200 L

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of water from the sprinkler for 80 minutes be = A

Now , the value of A is given by the equation

A sprinkler releases water st a rate of 150 liters per hour

So , 60 minutes = 150 Liters of water

80 minutes = 1/60 hours

80 minutes = 1.333 hours

The amount of water released for 1.333 hours A = 150 x 1.333

On simplifying the equation , we get

The amount of water released for 1.333 hours A = 200 L

Therefore , the value of A is 200 L

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Answer:

w=3 or 12

l=3 or 12

Step-by-step explanation:

w×l=36

2w+2l=30

w=(30-2l)/2

=15-l

therefore

(15-l)×l=36

-l^2+15l-36=0

use quadratic formula

l and w= 3 or 12

Answer:

\( \frac{12}{4} =    \$ 3\)

Answer:

A. 14 Sq.cm

Step-by-step explanation:

The area of the circle is 56 cm Sq.

Half of it is 28 Sq.cm

If you combine the 2 triangles it will make an area of 7sq.cm

then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure

So

56/4 Sq.cm

= 14Sq.cm

Thank you!!

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The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer:

False

Step-by-step explanation:

False, through any three points not on the same line, there is exactly one plane, but three points on the same line could be in separate planes.

Hope this helps :)

Answer:

The expression you are looking for is: 18+x

Step-by-step explanation:

Answer:

15 degrees for the first one

90 degrees for the second one

Step-by-step explanation:

Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(lw+wh+lh)

For the Red prism

Ar = 2(162 +324 + 648)
Ar = 2268 square units

For the blue prism

Ab = 2(8 + 16 + 32)
Ab = 112 square units

Take the ratio of the surface area

Ratio = 2268 : 112

Hence the ratio of their surface area is 2268 : 112

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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(LW+WH+LH)

For the Red prism

For the blue prism

Take the ratio of the surface area

Ratio = 4:81

Hence the ratio of their surface area is 4:81

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Using the compound interest formula:

Where:

A = Amount

P = Principal = 54000

r = Interest rate = 5.25% = 0.0525

n = Number of times the interest is compounded per year = 12

t = Number of years = 6

So:

Answer:

The balance is $73943.18

Answer:

y= half of x +2

Step-by-step explanation:

Ex: y=3  

Half of X is 1. 1+2=3

Ex: y=4

Half of X is 2. 2+2=4

Etc. im not going to do all the problems but i hope this helps :)

Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

(4x² - 2x - 4)(2x + 4)

Step 2: Simplify

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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Answer:

n=5, m = 4

Step-by-step explanation:

It is a parallelogram so m+8 = 3m and 2n-1 = 9

Step-by-step explanation:

let guess algebra right

Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Answer: B

Step-by-step explanation: