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3 years ago

How to solve 18 + 3(9f-13)

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

Step-by-step explanation:

Step 1: Distrbute 3 into (9f - 13)

3 • 9f = 27f

3 • 13 = 39

18 + 27f - 39

Step 2: Solve like-terms

(18 and 39 are the only like terms. 27f and 39 aren't like terms since 39 doesn't have a variable therefore, you can't solve 27f - 39)

39 - 18 = 21

ANSWER:

27f - 21

Hope this is correct!

<h3>- justy⊕∪rultimαtefαngirl</h3>

Marrrta [24]3 years ago

6 0

Answer:

Distribute so it would be 18+27f-39

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How many bucketloads would it take to bucket out the world’s oceans? Write your answer in scientific notation.

kodGreya [7K]

Answer: $7\times10^{19} buckets$

Step-by-step explanation:

Given: A cubic kilometer= $10^{15}$ cubic centimeters

The volume of world’s oceans= $1.4\times10^{9}$ cubic kilometers of water.

⇒ The volume of world’s oceans= $1.4\times10^{9}\times10^{15}$ cubic centimeters of water.

Volume of a bucket = 20,000 cubic centimeters of water.

The number of bucket-loads would it take to bucket out the world’s oceans

$n=\frac{\text{volume of ocean}}{\text{volume of bucket}}=\frac{1.4\times10^{9}\times10^{15}}{20000}$

$\Rightarrow\ n=\frac{1.4\times10^{9+15}}{0.2\times10^5}......[a^n\times a^m=a^{m+n}]\\\Rightarrow\ n=7\times10^{24-5}.....[\frac{a^m}{a^n}=a^{m-n}]\\\Rightyarrow\ n=7\times10^{19}$

hence, $7\times10^{19}$ bucketloads would it take to bucket out the world’s oceans.

5 0

3 years ago

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

$\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}$

As you can see the values are a valid solution for the linear equation.

So the solution is:

$-2(2)-2(-6)=8$

6 0

1 year ago

In last year, San Diego basketball team won 32 games, and lost 8 games. What percent of the games were won?

defon

Answer:

80%

Step-by-step explanation:

The total amount of games last year was 40.

32 + 8 = 40

question says the percent of games were won which means 32/40

In percentage, it means 80%

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3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

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