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3 years ago

8

Liz is collecting all 24 dolls in a special collection. So far, she has received 6 of the dolls for her birthdays and special oc

casions. What percentage of the collection does Liz have so far?

1 answer:

Oduvanchick [21]3 years ago

8 0

24 -6=18 Liz need 18 solos too make 24 total

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A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?

frez [133]

Answer:

30

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

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3 years ago

What is the area of the shaded region?

IRINA_888 [86]

20 because of the whole is 40 and the shaded part is by 20 you just take half of 40 and you get 20

3 0

3 years ago

(½) (6x + 3) = 7 – (3x + 1)

erastovalidia [21]

$\tt Step-by-step~explanation:$

To solve for x, we have to remember to isolate the variable.

$\tt Step~1:$

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

$\tt (0.5)(6x+3)=7-(3x+1)$

Let's distribute the 0.5 first.

$\tt 0.5*6x=3x\\0.5*3=1.5$

$\tt Step~2:$

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

$\tt -1*3x=-3x\\-1*1=-1$

Then, we simplify the entire expression.

$\tt 7-3x-1=-3x+6$

$\tt Step~3:$

Our equation now:

$\tt 3x+1.5=-3x+6$

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

$\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6$

$\tt Step~4:$

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

$\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5$

$\tt Step~5:$

Finally, we divide both sides by 6 to isolate x.

$\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}$

$\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}$

8 0

3 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

inn [45]

Answer:

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

Step-by-step explanation:

The given expression is

$\frac{2x+5}{x^{2} -3x} -\frac{3x+5}{x^{3} -9x} -\frac{x+1}{x^{2}-9}$

First, we need to factor each denominator

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

So, the least common factor (LCF) is $x(x-3)(x+3)$ , because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

$\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}$

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

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

Therefore, the expression is equivalent to

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

8 0

3 years ago

Read 2 more answers

Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; t

Ne4ueva [31]

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

3 0

3 years ago