the ratio of 5 more than a number to 20 less than that number is 8:3. What is the number?

Answers

Answer 1

Answer:

35

Step-by-step explanation:

Let the number  = y ;

  5 more than the number  = y + 5

  20 less than that number  = y  - 20

Ratio  = 8:3;

Solution:

 Ratio of the number:

                   [tex]\frac{y + 5}{ y -20}[/tex]   = [tex]\frac{8}{3}[/tex]

Now cross multiply and solve for y;

          3(y+5)  = 8(y-20)

            3y + 15  = 8y - 160

            3y - 8y  = -160 - 15

                -5y  = -175

                    y  = 35


Related Questions

PLEASE HELPP THIS IS IN A DIFFERENT language TO MY BRAin I swear My brain is LagGiNg RN

Answers

Answer:

A

Step-by-step explanation:

the first number in slope intercept is the slope and the second number is the y-intercept

Answer:

The answer is Choice a

Step-by-step explanation:

Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write and inequality that represents the situation.

Answers

Answer:

4x ≤ 30

Step-by-step explanation:

Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks

We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).

Answer: 4p-5_<25

Step-by-step explanation:

i got i right

Please I need a answer fast

Answers

solution

X + k

X - 2k

=X+k-x-2k

=x-x+k-x-2k

=0-k

=-k

or,

1

k

An orthocenter is the intersection of three
angle bisectors in a triangle.
altitudes in a triangle.
medians in a triangle.
perpendicular bisectors in a triangle.

Answers

Answer:

Altitudes in a triangle

option 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

an item is regularly priced at $55 it is priced at a discount of 40 off regular price what is a percent now ​

Answers

Answer:

Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.

Step-by-step explanation:

A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive after paying for the gas?

Answers

he is given back $14.48 in change


step by step explanation:
you’d multiply 2.73 by 24;
2.73 x 24= 65.52
then you would subtract $80 and 65.52
when you subtract the answer you get is $14.48

hope this helps

He would pay $14.48

To get this answer you would need to multiply $2.73 by 24 and subtract by $80.

PLEASE ANSWER THIS IS REALLY IMPORTANT!!!

Answers

Answer: C
Explanation: The y-intercept which is -9 matches with the equation and the slope matches too
Answer is c because -9 matched the equation and the slope

HELP PLZ FIRST TO ANSWE GETS BRAINLIEST

Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants
to be paid at least $500. Which inequality can be used to find the number of sales she
needs to make?
O A. 100 - 15x < 500
OB. 100 + 15x < 500
O C. 100 - 15x 2 500
OD. 100 + 15x 2 500

Answers

Hey there!

I think the answer is B.

A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times?

Answers

Answer:

I think it's like 81%

Step-by-step explanation:

17 /21=.809

Find the value of in the triangle shown below

9, 7, and x around the triangle

Answers

Answer:

Step-by-step explanation: 56

Answer:

130 is correct

Step-by-step explanation:

Can someone help me with this question thx

Answers

Answer:

D. 3

Step-by-step explanation:

3x−2y=−6

solve for y

-2y=-3x-6

y= 3/2x+3

y=mx+b

b= y intercept --> b = 3

Aubrey’s monthly bank statement shows a total of $51 in fees for ATM withdrawals. If Audrey made 17 withdraws, what is Audrey charged for each withdrawal?

Answers

Answer:

Audrey was charged $3 for each withdrawal.

Step-by-step explanation:

We have to calculate the amount of money charged on one transaction.

In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.

Given

[tex]Total\ ATM\ withdrawal\ fees = \$51\\Total\ withdrawals = 17\\Amount\ for\ one\ withdrawal = \frac{Total\ fees}{No.\ of\ withdrawals}\\= \frac{51}{17}\\= \$3[/tex]

Hence,

Audrey was charged $3 for each withdrawal.

-27 - (-8)=

A -35
B -18
C 19
D 35

Answers

Answer:

The answer is -19

Step-by-step explanation:

-27 - (-8)=

-27+8

=-19

Answer:

C

Step-by-step explanation:

-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.

Simplify (three^six)^eigthteen

Answers

Answer:

[tex](3^6)^{18}=3^{108}=3.38139191\times10^{51}[/tex]

What is the best of these four methods to estimate of the total cost of four items priced at $5.65, $7.80, $3.25, and $4.99?

Answers

Answer:

use a calculator that should help u so much

h+ j(j – h); use h = 2, and j = 6

Answers

Answer: 32

2+6(6-2)

8(4)

32

the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?

Answers

Answer:

9 months

Step-by-step explanation:

651=58x+129

-129         -129

522=58x  divide 522 by 58

=9

Fred has $200. He wants to purchase a gym bag for $26 and as many pair of shoes as he can. Each pair of shoes is $45. What is the maximum number of pairs of shoes he can
purchase in addition to the gym bag?

Answers

Answer:

3 shoes

Step-by-step explanation:

You can set up an equation to solve this question like this:

200=45s+26

174=45s

174/45=s

s=3.867

You can't have a part of a shoe, so you have to round down to get 3 shoes

Answer:

3

Step-by-step explanation:

In order to get the answer to this question you subtract in till you can no longer subtract after subtracting the cost of the bag.

What we do know:

[tex]M=200[/tex]

[tex]B=26[/tex]

[tex]S=45[/tex]

[tex]200-26=174[/tex]

[tex]174-45=129[/tex]

[tex]129-45=84[/tex]

[tex]84-45=39[/tex]

[tex]S=3[/tex]

Hope this helps



Which of these graphs represents a function?

Answers

Answer:

C

Step-by-step explanation:

Each x value only corresponds with 1 y value

An internet analytics company measured the number of people watching a video posted on a social media platform. The company found 129 people had watched the video and that the number of people who had watched it was increasing by 30% every 3 hours.
(a)
Write an exponential function for the number of people A who had watched the video n hours after the initial observation. (Enter a mathematical expression.)

Answers

Answer:

(a) The exponential function representing the number of people who had watched the video [tex]t[/tex] hours after the initial observation is [tex]n(t) = 129\cdot 1.3^{\frac{t}{3} }[/tex].

(b) As [tex]n(120) < 5\times 10^{6}[/tex], we conclude that this video is not going "viral".

Step-by-step explanation:

Statement is incomplete. The complete statement is:

An internet analytics company measured the number of people watching a video posted on a social media platform. The company found 129 people had watched the video and that the number of people who had watched it was increasing by 30% every 3 hours.

(a) Write an exponential function for the number of people A who had watched the video n hours after the initial observation.

(b) A video is said to go "viral" if the number of people who have watched the video exceeds 5 million within 5 days (120 hours). Would this video be considered to have gone viral?

(a) From the statement of the problem we get the following relationship:

[tex]\frac{n_{i+1}}{n_{i}}= r^{[(i+1)-i]}[/tex] (Eq. 1)

Where:

[tex]n_{i}[/tex] - i-th number of people watching a video, dimensionless.

[tex]n_{i+1}[/tex] - (i+1)-th number of people watching a video, dimensionless.

[tex]r[/tex] - Increase ratio, dimensionless.

For Induction Theorem, we get the following relatioship for [tex]i = 0[/tex]:

[tex]\frac{n_{1}}{n_{o}} = r^{1-0}[/tex] (Eq. 2)

For [tex]i = m[/tex], the following relationship is constructed:

[tex]\left(\frac{n_{1}}{n_{o}} \right)\cdot \left(\frac{n_{2}}{n_{1}} \right)\cdot ...\cdot \left(\frac{n_{m+1}}{n_{m}} \right) = r^{m}[/tex]

[tex]\frac{n_{m+1}}{n_{o}} = r^{m}[/tex](Eq. 3)

And for [tex]i = m+1[/tex], we have the following expression:

[tex]\left(\frac{n_{1}}{n_{0}} \right)\cdot \left(\frac{n_{2}}{n_{1}} \right)\cdot ...\cdot \left(\frac{n_{m+2}}{n_{m}} \right) = r^{m+1}[/tex]

[tex]\frac{n_{m+2}}{n_{0}} = r^{m+1}[/tex](Eq. 4)

If we multiply (Eq. 3) by the (m+1)-th ratio based on (Eq. 1):

[tex]\left(\frac{n_{m+1}}{n_{o}}\right)\cdot \left(\frac{n_{m+2}}{n_{m+1}} \right) = r^{m} \cdot r[/tex]

[tex]\frac{n_{m+2}}{n_{o}} = r^{m+1}[/tex]

Which is (Eq. 4) and the exponential function is represented by:

[tex]n_{i+1} = n_{o}\cdot r^{i}[/tex], [tex]i\in \mathbb{N}_{O}[/tex] (Eq. 5)

As the number of people is increased at constant rate every 3 hours, we get that [tex]i[/tex] is:

[tex]i = \frac{t}{3}[/tex], [tex]t \in \mathbb{R}[/tex], [tex]t \geq 0[/tex] (Eq. 6)

Where [tex]t[/tex] is the time, measured in hours.

Then, the exponential function is:

[tex]n(t) = n_{o}\cdot r^{\frac{t}{3} }[/tex] (Eq. 7)

Where [tex]n_{o}[/tex] is the initial number of people watching the video, dimensionless.

If we know that [tex]n_{o} = 129[/tex] and [tex]r = 1.3[/tex], then the exponential function representing the number of people who had watched the video [tex]t[/tex] hours after the initial observation is:

[tex]n(t) = 129\cdot 1.3^{\frac{t}{3} }[/tex]

(b) If we know that [tex]t = 120\,h[/tex], then we evaluate the exponential function:

[tex]n (120) = 129\cdot 1.3^{\frac{120}{3} }[/tex]

[tex]n(120) = 4.659\times 10^{6}[/tex]

As [tex]n(120) < 5\times 10^{6}[/tex], we conclude that this video is not going "viral".

work out (-5)2

I will mark brainest but the answer has to be right ​

Answers

answer:

(-5) 2 would be -10

explanation:

(-5) 2 is the same thing as -5 * 2

-5 * 2 is -10

The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form)

Answers

Answer:

58:28

Step-by-step explanation:

simplified its 29:14!

PLEASE HELP
Given: AABC with vertices A(5,-2), B(5, -7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
o (0,0),(4,0), and (4.-5)
O (0,0).(-4,0), and (0, -5)
O(0,0). (0,4), and (5,0)
O (0,0),(4,0), and (0, -5)
None of the other answers are correct

Answers

Answer: (0,0),(0,4), and (5,0)

Step-by-step explanation:

It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.

This answer has an x intercept and y intercept.

Write the equation of the line through (3,9) and (-2,9)

Answers

Answer:

y = 9

Step-by-step explanation:

y-y1 = m(x-x1)

m is the slope =y2-y1/x2-x1=9-9/-2-3=0

pick any number out of the given two for (x1, x2)

y-9 = 0*(x-3) so

y-9 = 0 add 9 to both sides

y = 9

Which number line represents the solutions to |x - 2|= 6?

Answers

Answer:8 and -4

Step-by-step explanation:

[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4

7. Find the inverse of f(x) = 4x^3 + 8.

Answers

Answer:

The inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is determined to be [tex]{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].

Step-by-step explanation:

In order to find the inverse of a function, we need to know a couple of rules about functions.

f(x) = yTo find the inverse, we flip the y-variable with the x-variables and solve for y.

Following these rules, our function now becomes [tex]\displaystyle{x=4y^3+8}[/tex].

We now can simplify it further in order to find the value of x.

[tex]\displaystyle{x=4y^3+8}\\\\4y^3=x-8\\\\y^3=\frac{x}{4}-8\\\\\sqrt[3]{y^3}=\sqrt[3]{\frac{x}{4}-8} \\\\y = \sqrt[3]{\frac{1}{4}x-8}\\\\f^{-1}(x)= \sqrt[3]{\frac{1}{4}x-8}[/tex]

Therefore, the inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is [tex]\displaystyle{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].

Answer:

[tex]\huge\boxed{f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}}[/tex]

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a series of steps.

1. Write the function in the form [tex]y=ax^b+c[/tex]

2. Swap where the x and y values are

3. Solve for y

4. Convert into [tex]f^{-1}(x)[/tex] form

So first, we can write [tex]f(x)=4x^3+8[/tex] as [tex]y=4x^3+8[/tex].

Now we need to swap where the x and y variables are. This makes our equation [tex]x=4y^3+8[/tex].

To find the inverse, we now need to solve for y in this equation.

[tex]x=4y^3+8[/tex] Subtract 8 from both sides:[tex]x-8 = 4y^3[/tex] [tex]4y^3 = x-8[/tex] Divide both sides by 4:[tex]y^3 = \frac{x-8}{4}[/tex] Take the cube root of each side: [tex]y = \sqrt[3]{\frac{x-8}{4}}[/tex] Convert into [tex]f^{-1}(x)[/tex] form [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex]

Therefore, the inverse of this function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex].

Hope this helped!

Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that cost $2 per box. she also buys a poster for $5. mrs.Cohen wants to know how many boxes of crayons she can buy.

Answers

Answer:

Ms. Cohen can buy 12 poxes of crayons.

Step-by-step explanation:

Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's

30-5-25

and than you can just count up by 2 till you get the closest to 25

25-24=1$

24/2 = 12

Hope this helps.

The number of boxes of crayons that can be bought is needed.

The number of boxes that can be bought at most is 12.

Linear inequalities

Let [tex]x[/tex] be the number of boxes of crayons

Total amount of money = $30

Cost of one box = $2

Cost of poster = $5

The linear inequality will be

[tex]2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5[/tex]

Learn more about linear inequality:

https://brainly.com/question/18881247

Someone help please I can give brainlist?

Answers

Answer:

-2.4f - 21

Step-by-step explanation:

Write three expressions equivalent to 3^2 9^2

Answers

Answer:

0-^

Step-by-step explanation:

Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission?

Answers

Answer:

Step-by-step explanation:

760*3.4%=25.84 in commission.

Answer:

25.84

Step-by-step explanation:

760*3.4%=25.84 in commission.

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