Which are side lengths of quadrilateral PQRS? Check

amid [387]

Percent formula : is/of = % / 100

what percent of 21.5 is 55.04...
% = x....because this is what we r looking for
is = 55.04
of = 21.5
now we sub into the formula
55.04 / 21.5 = x / 100
cross multiply because this is a proportion
(21.5)(x) = (100)(55.04)
21.5x = 5504
x = 5504 / 21.5
x = 256 <== so ur answer is 256%

5 0

3 years ago

2(x + 7) + 3 x = 12 what is the first step In solving this equation for x?

DIA [1.3K]

Answer:

The first step would be to distribute that 2 into the numbers in the parenthesis.

Step-by-step explanation:

4 0

2 years ago

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A golf player is trying to make a hole-in-one on the miniature golf green shown.

Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$

The given parameters are:

$(h,k) = (4.8,6.4)$ --- the vertex (i.e. the point where the ball hits the wall)

$(x_1,y_1) = (2,1.6)$

$(x_2,y_2) = (7.6,1.6)$

An absolute function is represented as:

$y = a |x - h| + k$

Substitute $(h,k) = (4.8,6.4)$

$y = a |x - 4.8| + 6.4$

Substitute $(x_1,y_1) = (2,1.6)$ for x and y

$1.6 = a|2 - 4.8| + 6.4$

$1.6 = a|- 2.8| + 6.4$

Remove absolute bracket

$1.6 = 2.8a + 6.4$

Collect like terms

$2.8a = -6.4+1.6$

$2.8a =- 4.8$

Solve for a

$a =-\frac{4.8}{2.8}$

Simplify

$a =-\frac{12}{7}$

Substitute $a =-\frac{12}{7}$ in $y = a |x - 4.8| + 6.4$

$y =- \frac{12}7|x- 4.8| + 6.4$

Hence, the equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

5 0

2 years ago

Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the

KatRina [158]

Answer: About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

8 0

3 years ago

Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of

ivanzaharov [21]

ANSWER:

Kari bought 3 boxes of cookies to share. The algebraic expression is $\frac{36}{x}$

Solution:

Given, Kari bought 3 boxes of cookies to share with a book club.

Each box contains 12 cookies.

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

$\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}$

$=\frac{36}{x} \text { cookies. }$

Hence, the algebraic expression is $\frac{36}{x}$

7 0

3 years ago

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