Ifa=12 and 120% of a is equal to 80% of b, then what is
a+b?
Rsm question

Answers

Answer 1

Answer:

a + b = 30

Step-by-step explanation:

If we convert the percentages to decimals (120% = 1.2 & 80% = 0.8), we can use this equation to find B:  1.2A = 0.8b

Since we know a, we then have 1.2 * 12 = 0.8b

Solving for B gives us b = 18

12 + 18 = 30


Related Questions

plz plz plz plz plz plz plz help me

Answers

Step-by-step explanation:

Each person's donation ratio is:

Donation 1 is 4/15 of 75

Donation 2 is 4/15 of 75

Donation 3 is 7/15 of 75

4/15(75) = 5 * 4 = 20

7/15(75) = 5 * 7 = 35

Each person's donation amount is:

$20

$20

$35

Check out work:

20 + 20 + 35 = 75!

Calculate the bearing of Y from X

Answers

Answer:

bearing of Y from X is 074°

Step-by-step explanation:

the bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is

180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

The value of the bearing of Y from X will be 74°.

What is Supplementary angle?

The sum of two or more angle is 180 degree then the angle is called the  Supplementary angle.

Given that;

The value of measure of ∠X = 106°

Now,

Since, The value of the bearing of Y from X will be calculated as;

∠X + ∠Y = 180°

106° + ∠Y = 180°

∠Y = 180° - 106°

∠Y = 74°

Thus, The value of the bearing of Y from X will be 74°.

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To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in square feet?

A floor plan. The living room is 18 feet wide and 10 feet long.

A. 28
B. 53
C. 56
D. 100
E. 180

Answers

The answer is E(180) because you have to multiply 18* 10 in order to get the answers because the formula is wide*long= floor area

Ava spends about 45 minutes studying each day. She also practices the piano for an average of 20 minutes per day, and she practices soccer 1.5 hours three times a week. If Ava decides to reduce the time she does each activity by 16, find the total number of hours she spends studying and practicing in a year with a reasonable level of accuracy.

Answers

Answer:

398.88hours

Step-by-step explanation:

Note: If Ava decides to reduce the time she does each activity by 16minute I believe it should be

1. Ava spends 45min per day studying

    reduce this amount be 16min we have=45-16=29min

    in a year she will spend 365*29= 10585min

2. She also practices the piano for an average of 20 minutes per day

   reduce this amount be 16min we have=20-16=4min

    in a year she will spend 365*14= 5110min

3. She practices soccer 1.5 hours three times a week.

   in minutes 1.5hours is 90min three times a week

   in a day 90*3/7= 270/7=38.57

    reduce this amount be 16min we have=38.57-16=22.57min

    in a year she will spend 365*22.57= 8238.05min

in total for the year  she spends studying and practicing

=10585+ 5110+8238.05

=23933.05min to hours =23933.05/60

=398.88hours

Answer:1. Ava spends 45min per day studying

   reduce this amount be 16min we have=45-16=29min

   in a year she will spend 365*29= 10585min

2. She also practices the piano for an average of 20 minutes per day

  reduce this amount be 16min we have=20-16=4min

   in a year she will spend 365*14= 5110min

3. She practices soccer 1.5 hours three times a week.

  in minutes 1.5hours is 90min three times a week

  in a day 90*3/7= 270/7=38.57

   reduce this amount be 16min we have=38.57-16=22.57min

   in a year she will spend 365*22.57= 8238.05min

in total for the year  she spends studying and practicing

=10585+ 5110+8238.05

=23933.05min to hours =23933.05/60

=398.88hours

Step-by-step explanation:

Find the unit rate if, 350 miles needs 14 gallons of gas.

Answers

Answer:

25

Step-by-step explanation:

Step 1: 350:14

Step 2: 175:7

Step 3: 7/7= 1

Step 4: 175/7=25

350:14=25:1

The car will run 25 miles for each gallon of gas

Answer:

1 gallon = 25 miles

Step-by-step explanation:

350 mi 14 gallons =

350   =  x      Underline = fraction bar btw

14          1

use cross mulitplication

350 = 14x

25 = x

So one gallon goes 25 miles

Hope this helps!

Pls Remember to mark brainliest

The equation Tan (55°) = 15/b can be used to find the length of AC.

How can I find it?

Answers

Step-by-step explanation:

Assuming you want to solve for b,

tan(55)=15/b

b(tan 55)=15

b = (tan 55)/15

help please , i just don’t understand pre cal

Answers

Answer:

In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.Step-by-step explanation:

hope this help

9514 1404 393

Answer:

  follow directions. h represents a horizontal shift, + shifts to the right. k represents a vertical shift, + shifts up.

Step-by-step explanation:

Modern math instruction often tends toward giving you a task that is intended to help you discover for yourself particular mathematical relationships. This is one such task.

Here, you're intended to follow the instructions: using the technology provided (a graphing tool at the link) to discover the effect of changing the values of h and k in the function.

__

The first attachment shows plots from my graphing tool for different values of h. The red curve shows h=-2, the blue curve shows h=0, and the green curve shows h=1. If you look for the marked upward zero crossing, you see that it is unshifted for h=0, shifted left 2 units for h=-2, and shifted right 1 unit for h=1.

You are intended to conclude that the value of h represents the amount by which the function is shifted to the right.

__

The second attachment shows plots from my graphing tool for different values of k. As before, the red curve shows k=-2, the blue curve shows k=0, and the green curve shows k=1. Again, the upward zero crossing has been marked to show the effect. For k=-2, the curve is shifted down 2 units; for k=1, it is shifted up 1 unit. There is no shift when k=0.

You are intended to conclude that the value of k represents the amount by which the function is shifted upward.

__

If you do what the problem tells you to do, you can see these effects in real time, watching changes as they occur. You are expected to describe them. Only you know what the "vocabulary from 9/21-922" is.

_____

Additional comment

Math instruction builds on previously seen concepts. This is not a subject in which you can be successful adopting the strategy of "test and forget." You're better off with a strategy of "learn it thoroughly and remember," working as many problems as necessary to keep it fresh in your mind.

Student tickets for the basketball playoffs cost $9.25 each. How much
do 9 student tickets cost?

Answers

Answer: 83.25

Step-by-step explanation:

ahhhhhhhhhhhhhh

The total cost for 9 tickets are $83.25.

$9.25 x 9 = $83.25

The graph of y = x(x + 1)(x – 1)(x – 3) is shown. On a coordinate plane, a curved line shows 2 minimum values at (negative 0.6, negative 1.2) and (2.3, negative 7), and 1 maximum value. Point A is at (negative 1, 0), point B is at (0.5, 1), point C is at (1.5, negative 3), and point D is at (3, 0). Which point is a turning point of the graph? A B C D

Answers

Answer: is C i just summmited the test

Answer:

B

Step-by-step explanation:

Qwik Mafs

if the cost of making 1 copy is $0.055, how much will 10 copies cost?

Answers

Answer:

0.55

Step-by-step explanation:

Answer:

Itz $ 0.55 because 10 × $0.055

i need to know what the volume of a cylinder that's radius is 5 yd and height of 11 yd

Answers

Answer:

The volume is [tex]275\pi\text{ yd}^3[/tex] or [tex]863.5\text{ yd}^3[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2 h[/tex], where r is the radius and h is the height. From the information provided, we have:

[tex]r=5 \text{ yd}\\h=11\text{ yrd}[/tex]

Using our equation, we get:

[tex]V=\pi (5)^2(11)\text{ yd}^3\\V=275\pi\text{ yd}^3\\V\approx 863.5\text{ yd}^3[/tex]

Help please :). I need helppppppo

Answers

Answer:

386% is the 1 3/4 and the other is 239% I think?

Step-by-step explanation:    

Evaluate 2a-3b

a= 5/2 and b = -2

PLEASE ANSWER ASAP , thanks.

Answers

2a - 3b
2(5/2) -3(-2)
2/1(5/2) - 3(-2)
10/2 + 6
5 + 6
11

An investment of $500 earns interest at an annual interest rate of 13%. The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years. Write an equivalent equation that displays the effective monthly interest rate. A) B = 500(1.10)12t B) B = 500(1.12)12t C) B = 500(1.010)12t D) B = 500(1.012)12t

Answers

Answer: C) [tex]B= 500(1.101)^{12t}[/tex]

Step-by-step explanation:

Given : The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years.

For monthly interest , Rate = [tex]\dfrac{r}{12}[/tex]

Time = 12 t  [ 1 year = 12 months ]

As r = 0.13 , so rate = [tex]\dfrac{0.13}{12}\approx0.010[/tex]

Now, the equation will be :

[tex]B=500 (1+0.101)^{12t}[/tex]

[tex]\Rightarrow\ B= 500(1.101)^{12t}[/tex]

Correct option : C) [tex]B= 500(1.101)^{12t}[/tex]

Find the measure of <MLN


Answers

Answer = one hundred fifty five degrees (155°)

I need help on this question

Answers

Answer:

Step-by-step explanation:

Find the quotient 70 divided by 17

Answers

Answer:

4.1

Step-by-step explanation:

Answer:

4.117.....

Step-by-step explanation:

it is corecct answer but it has remainder.

help with the last question plss​

Answers

It is an equation because it has an equal sign and it must solve for the variable which is "n".

Step-by-step explanation:

Please Help ASAP! What is the measure of Angle WZY

Answers

Answer: 138

Step-by-step explanation:

Fill in the blank with the correct angle to make the statement true. The m∠2 is 28° because it's ____________ to the given angle and the sum of ___________ angles is 180°. corresponding supplementary consecutive interior vertical alternate interior alternate exterior Item at position 3

Answers

I believe congruent is the first one and linear is the second but I’m not quite sure. All u can do is try I guess! Hope this helped

answer fast plzzzzzzzzz

Answers

Answer: D) 45 ft.

Step-by-step explanation:

You have the measurements for the sides BC and CD, if you divide BC by CD you get the dialation. Which is 2.5. Multiply 18 by 2.5, Congrgulations you have the answer!

hii friends help me to do my homework
the zeroes of 3x² - 2x + 1/3 are real and equal justify ​

Answers

Step-by-step explanation:

Proof using Discrimant:

[tex]3 { x}^{2} - 2x + \frac{1}{3} = 0[/tex]

The discrimant is

[tex] \sqrt{ {b}^{2} - 4ac} [/tex]

B is -2, A is 3 and C is 1/3 so we get

[tex] \sqrt{ {2}^{2} - 4( 3)( \frac{1}{3}) } [/tex]

[tex] \sqrt{4 - 4} [/tex]

[tex] \sqrt{0 } = 0[/tex]

Since the discrimant equal zero, there is one real distinct zero.

This zero will also have a multiplicity of 2, so the zero is technically equal to each other.

To get better at solving, let solve for zero.

[tex]3 {x}^{2} - 2x + \frac{1}{3} = 0[/tex]

[tex]3( {x}^{2} - \frac{2}{3} x + \frac{1}{9} )[/tex]

[tex]3( x - \frac{1}{3} )(x - \frac{1}{3} )[/tex]

[tex]3(x - \frac{1}{3} ) {}^{2} = 0[/tex]

[tex]x = \frac{1}{3} [/tex]

That zero is 1/3,1/3

PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST

Answers

answer: (1) 0.25 / 2 (2) 1/8 or 0.125

explanation 0.25 is equal to 1/4 so you decide by 2 and get 1/8 or 0.125

hope that helps!

how to tell the difference between linear and non linear graphs

Answers

Linear graphs are going to be a straight line. A non linear graph looks like a curve and has a variable slope value.

On the ceiling of a cavern, a stalactite grows downward 0.01 inches per year. Ten feet directly below on the cavern's floor, a stalagmite grows upward 0.005 inches per year. How many years will it take them to meet? Express your answer to the nearest hundredth. Your answer

Answers

Answer:

666.66 years

Step-by-step explanation:

In this scenario, we need to find at what year both of the stalagmite crystals are at the exact elevation in the cave. So we need an algebraic formula to calculate this. Since the crystal in the ceiling is at a height of 10 feet (height of the cave) and is growing down we need to subtract its growth from its starting position of 10ft. The second crystal is starting at an elevation of 0 and growing upward so we simply need to chart its growth and equal both equations together to find its meet-up point. In this algebraic equation, x will equal the number of years that we need to find.

[tex]10 - 0.01x = 0.005x[/tex] ... add 0.01x to both sides.

[tex]10 = 0.015x[/tex]  ... divide both sides by 0.015

[tex]666.66 = x[/tex]

Finally, we can see that both crystals will meet-up after 666.66 years. If we plug this value into the equation we see that the crystals will meet-up at a point 3.33 ft above the cave floor.

Which statement is true?
A. All squares are similar.
B. All hexagons are similar,
C. All scalene triangles are similar.
D. All similar figures are the same shape and size.

Answers

A all squares have the sides

A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children. How much cheaper is it to buy a family ticket than it would be to buy 2 adults and 2 child tickets?

Answers

I might get this wrong but 60 minus 45 equals 1515

Step-by-step explanation:

The family pack would be  £15 cheaper from the normal package.

What is a system of equations?

In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

Given that, A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children.

Let A represents adults and C represents children,

Establishing system of equation,

2A+3C = 72

3A+C = 66

On solving the equation, we get,

A = 18 and C = 12

For 2 adults, cost = 18x2 =  £36

For 2 children, cost = 12x2 =  £24

Total cost = 36+24 =  £60

In family pack, £45 allows entry for 2 adults and 2 children.

45 is 15 less 60

Hence, The family pack would be  £15 cheaper from the normal package.

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A membership sales person at a gym is given a choice of two different compensation plans. One plan offers a weekly salary of $300 plus a commision of $15 for each membership sold. The other plan offers no salary but pays $30 commission on each membership sold. How many memberships must the salesperson sell to make the same amount of money under both plans? FAST PLS

Answers

Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.

Step-by-step explanation:

Let x be the number of memberships.

In first plan,

Weekly salary of $300 plus a commission of $15 for each membership sold.

i.e. Earning (weekly) = 300+15x

In second plan,

The other plan offers no salary but pays $30 commission on each membership sold.

i.e. earning = 30x

According to the question, when [tex]300+15x=30x[/tex]

[tex]\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20[/tex]

Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.

The circumference of a circle is 18.84 meters. What is the circle's radius?

Answers

Answer:

[tex]\huge\boxed{\sf r = 9.42\ m}[/tex]

Step-by-step explanation:

Given Data:

Circumference = C = 18.84 m

Required:

Radius = r = ?

Formula:

r = C / 2

Solution:

r = 18.84 / 2

[tex]\rule[225]{225}{2}[/tex]

Answer:

9.42

Step-by-step explanation:

Half of the circumference is the radius to you do 18.84 divided by 2

to get your answer.

Solve the equation: 4x - 9x + 11 = -24. When you guys solve this, be sure to show your work.

Answers

Answer:

4x - 9x + 11 = -24

-5x + 11 = - 24

-5x = -24 - 11

-5x = -35

-5x/-5 = -35/-5

x = 7

Answer:

The answer is 7

Step-by-step explanation:

Firstly, you have to subtract 11 from -24, which is -35. Then, add the values with x. Which is -5. -35 divided by -5 equals 7. You can check the answer by doing (4*7)-(9*7)+11=-24

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