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3 years ago

12

A baseball player hits a ball 360 feet to the outfield. It takes the ball 4 seconds to travel this distance. How many feet does

the ball travel in 1 second?

2 answers:

rusak2 [61]3 years ago

5 0

369 divided by 4 equals 90. 90 feet in 1 second

marin [14]3 years ago

4 0

90
because if you divide 360 into 4 it equals 90

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Andy divided his 1/3 jar of paint equally between two projects what fraction of a jar of paint did Andy use for each project exp

eduard

For this question, you should draw out the 1/3 model. Then split each third into two. Next, you have to put that into two projects which in the end gives you 1/6.

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3 years ago

Read 2 more answers

Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all tha

vodomira [7]

we have

$\frac{3}{5}x+ \frac{2}{3}+x=\frac{1}{2}-\frac{1}{5}x$

Combine like terms in both sides

$(\frac{3}{5}x+ x)+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

we know that

$(\frac{3}{5}x+ x)=(\frac{3}{5}x+ \frac{5}{5}x)=\frac{8}{5}x$

substitute in the expression above

$\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$ -----> equation A

Multiply equation A by $5*3*2=30$ both sides

$30*(\frac{8}{5}x+\frac{2}{3})=30*(\frac{1}{2}-\frac{1}{5}x)$

$48x+20=15-6x$ ---------> equation B

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$48x+6x=15-20$

$54x=-5$ ---------> equation C

Solve for x

$x=-\frac{5}{54} =-0.09$

We are going to proceed to verify each case to determine the solution.

<u>Case a)</u> $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

the case a) is equal to the equation A

so

the case a) have the same solution that the given equation

<u>Case b)</u> $18x+20+30x=15-6x$

Combine like terms in left side

$(18x+30x)+20=15-6x$

$(48x)+20=15-6x$

the case b) is equal to the equation B

so

the case b) have the same solution that the given equation

<u>Case c)</u> $18x+20+x=15-6x$

Combine like terms in left side

$(18x+x)+20=15-6x$

$(19x)+20=15-6x$

$19x+6x=15-20\\25x=-5\\x=-0.20$

$-0.20\neq -0.09$

therefore

the case c) not have the same solution that the given equation

<u>Case d)</u> $24x+30x=-5$

Combine like terms in left side

$54x=-5$

the case d) is equal to the equation C

so

the case d) have the same solution that the given equation

<u>Case e)</u> $12x+30x=-5$

Combine like terms in left side

$42x=-5$

$x=-5/42=-0.12$

$-0.12\neq -0.09$

therefore

the case e) not have the same solution that the given equation

therefore

<u>the answer is</u>

case a) $\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x$

case b) $18x+20+30x=15-6x$

case d) $24x+30x=-5$

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4 years ago

Read 2 more answers

Sahira chooses a random sample from the library and records the type of books in the chart below.

ki77a [65]

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book Number

Fantasy 10

Literature 25

Children’s 4

Nonfiction 11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.

So just because books literature more we cannot say it is not representative II option is not right, because each book was not chosen uniquely, just random books were drawn.

<h3>What is the population?</h3>

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

To learn more about the population visit:

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2 years ago

8x-4=2(4x-4) math question

EleoNora [17]

Answer:

No solution.

Step-by-step explanation:

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

8x - 4 = 8x - 8

-4 = -8

-4 ≠ -8

8 0

3 years ago

Hey, Could any of you provide me a step by step explanation as to how you get to the answer?

sukhopar [10]

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25

$\sqrt[3]{8}$ = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

5 0

3 years ago