Expand.
a)3(x - 2)
b)2(y + 4)
c)8(3 + x)

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Answer:

18 / 6 = 3

The scale is 1:3

3 * 4.5 = 13.5

13.5 * 18 = 243 square feet

The answer is 243 square feet.

Step-by-step explanation:

Hope this helped!

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

Answer:

Step-by-step explanation:

If we know the slope and a point, we can easily write it in point-slope form

[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]

So, the height of the tetrahedron is 6 units.

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

Answer:

426+315=741

Step-by-step explanation:

Answer:

426+315 = 741

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]

From the table attached,

Ratio = [tex]\frac{6}{24}[/tex]

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Answer:

what is your question

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no picture....

Answer:

2147.60

Step-by-step explanation:

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Answer:

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).

Step-by-step explanation:

Was i right?!?

Answer: 2 x 10^10 =20000000000

and 150,000,000 is 150 million so you subtract and you get

19,850,000,000

Step-by-step explanation:

Answer:

I put 9y=6x

Step-by-step explanation:

I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

Answer:

49.5 meters of linen were left after the sale.

Step-by-step explanation:

Given that there are 100 meters of linen

And 15.75, 22.50 and 12.25 meters are sold.

This means that the sold linen has to be added  to find the total linen sold.

And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.

[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]

Left linen will be:

[tex]=100-50.5 = 49.5[/tex]

Hence,

49.5 meters of linen were left after the sale.

The HCM and LCM of 120 and 180 are 360.

The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

Given are two numbers as -

120 and 180

We can write 120 and 180 as -

120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60

Now, we can find LCM using the formula -

LCM(a, b) = (a x b)/HCF(a, b)

LCM(a, b) = (120 x 180)/60

LCM(a, b) = 2 x 180 = 360

Therefore, the HCM and LCM of 120 and 180 are 360.

To solve more questions on HCF and LCM, visit the link below-

https://brainly.com/question/20739723

#SPJ2

Answer:

The hypotenuse is line segment MN.

Step-by-step explanation:

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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.

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#teamtrees #WAP (Water And Plant)

Answer:

1/2, 2, 9/2, and 8.

Step-by-step explanation:

In this case, we have an explicit rule.

So, to find the nth term, we can simply substitute a value into our function and evaluate.

For the first term, n=1. Thus:

[tex]f(1)=\frac{(1)^2}{2}[/tex]

Evaluate:

[tex]f(1)=\frac{1}{2}[/tex]

Hence, our first term is 1/2.

For the second term, n=2. Thus:

[tex]f(2)=\frac{(2)^2}{2}[/tex]

Evaluate:

[tex]f(2)=\frac{4}{2}=2[/tex]

Hence, the second term is 2.

For the third term, n=3. Thus:

[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]

So, the third term is 9/2.

And for the fourth term, n=4. Thus:

[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]

Therefore, the fourth term is 8.

Hence, our first four terms are: 1/2, 2, 9/2, and 8.

Answer:

The zeros are at 0 and -2/3