Triangle NOP is similar to triangle RST. Find the measure of side RS. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale

Answer:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

to make it into 5%, multiply 1.5 by 20

1.5 x 20 = 30

5% of 30 gallons is 1.5 since 10% of 30 is 3.

Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.

I hope this helps thanks

Answer:

What is the amount of juice in the original solution? a =

✔ 1.5

What is the original amount of solution in gallons? b =

✔ 10

How much juice is added? c =

✔ 0

How much total solution is added? d =

✔ x

Step-by-step explanation:

Answer:

Y=3x+7

y=5x+8

3x + 7 = 5x + 8

-1 = 2x

x = -1/2

y = 3(-1/2) + 7

y = -3/2 + 7

y = 5.5

x = -0.5 ; y = 5.5

Answer:

x = [tex]-\frac{1}{2}[/tex] y = 5.5

Step-by-step explanation:

substitution method

3x + 7 = 5x + 8

subtract 3x from both sides

7 = 2x + 8

subtract 8 from both sides

-1 = 2x

divide each side by 2

x = [tex]-\frac{1}{2}[/tex]

substitute the x in either equation

y = 3(-1/2) + 7

y = -1.5 + 7

y = 5.5

or

y = 5(-1/2) + 8

y = -2.5 + 8

y = 5.5

Answer:

The is no picture

Step-by-step explanation:

Answer:

with what???

Step-by-step explanation:

Answer:

I'm not sure but...

Step-by-step explanation:

If I were you I would divide 48 by 14. And see how that leads out...I'm sorry if that will not help you...

Answer:

obviously 16 books....

Answer

x=29

Step-by-step explanation:

Okay we know that the sum of all angles in a triangle is 180, so all we have to do is add them up first

(x+17)+(2x+5)=3x+22

(3x+22)+(3x-16)=6x+6

okay so we now know that 6x+6=180

subtract 6 on both sides 6x=174

then divide by 6 to get x=29

hope this helps!

Answer:

3.7 ounces

Step-by-step explanation:

You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)

Answer:

(-∞,∞)

Step-by-step explanation:

The domain is the possible x values, so for this function x^2 , the possible x values are all the values

(-infinity , infinity)

Answer:

14400

Step-by-step explanation: i culd be wrong tho

Answer:

[tex]H = 53.30[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 7x + 41[/tex]

[tex]Side\ 2 = 5x[/tex]

Required

Determine side x

The hypotenuse (H) is calculated using:

[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]

Substitute 9 for x:

[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]

[tex]H^2 = 10816 + 2025[/tex]

[tex]H^2 = 12841[/tex]

So:

[tex]H = \sqrt {2841[/tex]

[tex]H = 53.30[/tex]

Answer:

Correct Answer is A. 3 times root 5.

Step-by-step explanation:

We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.

hence,

a^2 + b^2 = c^2

a^2 + (2)^2 = (7)^2

a^2 + 4 = 49

a^2 = 49-4

a^2 = 45

a = root of 45 which is 6.7082

which can be written as 3 times root 5

Answer:

[tex]13) > \\ 14) < \\ 15) < \\ 16) > [/tex]

Answer:

13. >

14. <

15. <

16. >

Step-by-step explanation:

13. √15 - 4 = -0.12 and √15 - 7 = -3.12

14. 2√18 = 8.4 and 2√21 = 9.16

15. -^3√30 = -3.1

16. √8 + 1 = 3.8 and √17 - 2 = 2.1

Answer:it should be 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please clarify the Question

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...

  4a +5p = 86

  8a +2p = 92

Subtract half the second equation from the first to eliminate the 'a' variable.

  (4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)

  4p = 40 . . . . . simplify

  p = 10 . . . . . . . divide by 4

Substitute into the first equation:

  4a + 5(10) = 86

  4a = 36 . . . . . subtract 50

  a = 9 . . . . . . . divide by 4

One apple pie costs $9; one pumpkin pie costs $10.

Answer:

33/32.5

Step-by-step explanation:

26 divided by 4 equals 6.5

then 6.5 times 5 equals 32.5

Answer:

Number of 8th Graders = 360 - X  

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.

As we know:

Total number of students on the A honor roll = 360

We are asked to calculate, number of students from 8th grade on the A honor  roll.

So, let's assume that "X" represents all the students who are on the A honor roll except 8th grade.

Mathematical Expression:

Number of 8th Graders = Total number of students on the A honor roll - X

Number of 8th Graders = 360 - X

So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.

I am not sure if it is wrong I am sorrry.

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

Answer:

The probability of Jessica picking 3 consecutive red markers is: (1/6)

The probability of Jessica's first marker being red, but not picking 3 consecutive red markers is:

(3/5)−(1/6)=(13/30)

So i am bit stuck here

what i think is it shouldn't be that complex it should be as simple as chance of Jessica's first marker being red=chance of getting red 1 time i.e P(First marker being red)=(6/10) can any explain me the probability of Jessica's first marker being red=(13/30)?

Step-by-step explanation:

Answer:

$126.67

Step-by-step explanation:

Answer:

[tex]P(32) = \frac{1}{90}[/tex]

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

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

Sample Space = 10 to 99

First, we calculate the sample size (n)

[tex]n = 99 - 10 + 1[/tex]

[tex]n = 90[/tex]

Solving (a): P(32)

In 10 to 99, there is only 1 32.

So,

[tex]P(32) = \frac{n(32)}{n}[/tex]

[tex]P(32) = \frac{1}{90}[/tex]

Solving (b): P(Odd)

There are 45 odd numbers between 10 and 99

i.e.

[tex]n(Odd) = 45[/tex]

So:

[tex]P(Odd) = \frac{n(Odd)}{n}[/tex]

[tex]P(Odd) = \frac{45}{90}[/tex]

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

Solving (c): P(Multiple of 5)

There are 18 multiples of 5 between 10 and 99

i.e

[tex]P(Multiples\ 5) = \frac{18}{90}[/tex]

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

First Box=-4 Second Box=-3

Step-by-step explanation:

Answer:

the answer is 36

Step-by-step explanation:

beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36

Answer:

69

Step-by-step explanation:

thats the answer now give me brainliest NOW:)

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

100-50+4=50+4

=54

.....