if a=12 and 120% of a is equal to 80% of b then what is a+b

Answers

Answer 1
a=12
120% of a =80% of b
120%a = 80%b
120a/100 = 80b/100
Divide through by 100
120a = 80b
Divide through by 80
120a/80 = b
But a=12
120x 12/80 = b
18 = b
b = 18

a+b = 12 + 18 = 30

Related Questions

what decisions can be made on the basis of the harris poll survey that measures the reputations of the most visible companies in the united states?

Answers

Answer:

56584653984656x9486356986455867

Step-by-step explanation:

Inventory Heung-Soo is responsible for checking a shipment of technology equipment that contains laser printers that cost $700 each and color monitors that cost $200 each. He counts 30 boxes on the loading dock. The invoice states that the order totals $15,000. Write a system of two equations that represents the situation outlined above. How many laser printers and how many color monitors were delivered?​

Answers

Answer:

P + M = 30

700P + 200M = 15000

Number of laser printers = 18

Number of color monitors = 12

Step-by-step explanation:

Let P = number of laser printers

Let M = number of color monitors

Given total number of boxes = 30

⇒ P + M = 30

Given:

$700 = cost of laser printer$200 = cost of color monitor$15000 = total cost of order

⇒ 700P + 200M = 15000

Rewrite P + M = 30 to make P the subject:

⇒ P = 30 - M

Substitute into 700P + 200M = 15000 and solve for M:

⇒ 700(30 - M) + 200M = 15000

⇒ 21000 - 700M + 200M = 15000

⇒ 500M = 6000

⇒ M = 12

Substitute found value for M into P = 30 - M and solve for P:

⇒ P = 30 - 12 = 18

kelly had 20 minutes to do a three-problem quiz. she spent 11 9/10 minutes on question a and 4 3/5 minutes on question b. how much time did she have left for question c?

Answers

Answer:

2

Step-by-step explanation:

if you add the questions you will get the answer so first you add the time she spent then subtract them from the time

I need help finding the answer!!

Answers

Answer:

The second option

Step-by-step explanation:

Here, we need to multiply each part of the matrix by -10.

This will give us: [ -230 380 ]

                           [ -170    60 ]

So, the answer is the second option.

Any answers for this one?

Answers

Answer:

A=90

B=-20

Step-by-step explanation:

you can see the arrow in A and B

Select ALL the correct answers.
Matt drew quadrilateral JKLM inscribed in a circle. Which statements could describe the angles in quadrilateral JKLM?
a. m∠L = 125°, m∠J = 35°, and m∠K = 65°
b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
c. m∠J = 84°, m∠K = 12°, and m∠M = 78°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

Answers

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

b. m∠M = 55°, m∠J = 48°, and m∠L = 132°d. m∠L = 40°, m∠M = 60°, and m∠K = 120°e. m∠K = 72°, m∠L = 44°, and m∠M = 108°f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

How to describe the angles

The quadrilateral is given as: JKLM

The opposite angles are:

Angles J and LAngles K and M

The opposite angles are supplementary

So, we have:

[tex]J + L = 180[/tex]

[tex]K + M = 180[/tex]

Next, we test the options

Option (a)

[tex]J + L = 180[/tex]

[tex]125 + 35 = 160[/tex]

This is not true

Option (b)

[tex]J + L = 180[/tex]

[tex]48 + 132 =180[/tex]

This is true

Option (c)

[tex]K + M = 180[/tex]

[tex]12 + 78 = 180[/tex]

This is not true

Option (d)

[tex]K + M = 180[/tex]

[tex]120 + 60 = 180[/tex]

This is true

Option (e)

[tex]K + M = 180[/tex]

[tex]72 + 108= 180[/tex]

This is true

Option (f)

[tex]J + L = 180[/tex]

[tex]105 + 75 = 180[/tex]

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

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If x is an integer and 0 < x < 2, what is x?

Answers

Answer:

x will be equal to 1 because 1 is bigger than 0 but smaller than 2

therefore x=1

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piece-wise equation, where x represents the number of hours. f(x)={12x, x≤215x, x>2 How much would it cost to park at the train station for 7 hours? Enter your answer in the box.

Answers

Answer: 96

Step-by-step explanation:

Answer:

Here is the answer! The person above is correct! Thanks again! Hope you have a nice day! Really helpful for k12 students!

Step-by-step explanation:

carla bought a cat for $12,000 and the value depreciates 8% each year

Answers

Answer:

Present Value A=Rs.52,488

Depreciation rate r=10% per annum

Time t=4 years

Let initial value be P

We know the formula, A=P(1−100r)t

Substituting the given values, we get.

52,488=P[1−10010]4

52,488=P(0.9)4

P=0.656152488

P=Rs.80,000

An isosceles triangle has an angle that measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

Step-by-step explanation:

If one angle = 90 degrees, then the other 2 added together must also = 90.

There is only 1 answer to this, since the triangle is isosceles..

x + x = 90        Combine

2x = 90            Divide by 2

x = 90/2          

x = 45

So both acute angles = 45 degrees.  

i need this answer quick pleasePeter bought 10 basketball, 20 baseballs, and 11 football at the sports store. The basketball cost $5.75 each, the baseballs cost $2.25 a piece, and the football was $5.00 each. How much money does he need to pay at the counter?

Answers

157.5

$5.75 x 10 = 57.5

$2.25 x 20 = 45

$5.00 x 11 = 55

then you add all them together and you get 157.5

Which points would be in the critical points of the following: (There is more than one correct answer)

(2, 0)

(0, 3)

(0, 2)

(3, 0)

(0, 0)

(5, 0)

Answers

The graph of the function is a linear function

The graph has no critical point

How to determine the critical points

The points on the lines of the graphs are:

(x,y) = {(0,2) (4,0)}

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{0-2}{4 - 0}[/tex]

[tex]m =-0.5[/tex]

So, the linear equation is:

[tex]y = -0.5x + 2[/tex]

The above function is a linear function, and a linear function has no critical point

Hence, the graph has no critical point

Read more about critical points at:

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In the figure below ac=24 and bc=9 find ab

Answers

Answer:

AB=15

Step-by-step explanation:

By looking at the figure, you will find that AB = AC-BC. Use this equation to solve:

[tex]AB=AC-BC\\AB=24-9\\AB=15[/tex]

AB = AC - BC

AB = 24 - 9 = 15

The circumference of a circle is 351321 in.

What is the approximate diameter of the circle?

Use 227 for π.

Enter your answer as a mixed number in simplest form in the box.

in.

Answers

Based on the calculations, the approximate diameter of this circle is equal to 11.0 in.

Given the following data:

Circumference of a circle = [tex]35\frac{13}{21}[/tex] in.[tex]\pi = \frac{22}{7}[/tex]

To determine the approximate diameter of this circle:

How to calculate the circumference of a circle.

Mathematically, the circumference of a circle is given by the formula:

[tex]Circumference = \pi D[/tex]

Where:

D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

[tex]35\frac{13}{21}=\frac{22}{7} D\\\\\frac{748}{21} =\frac{22D}{7} \\\\748\times 7=22D \times 21\\\\5236=462D\\\\D=\frac{5236}{462}[/tex]

D = 11.3 11.0 in.

Read more on circumference of a circle here: brainly.com/question/14478195

Answer:

11.0

Step-by-step explanation:

3
С
2
In the similarity
transformation of AABC
to ADEF, AABC was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ]
1
B
A
-2
-4
-10
O
1
2
3
5
4
6
+
m,
D
2
-3
F
B. 1/2
A. 2
C. 3
D. 1/3

Answers

In the similarity transformation of ABC to DEF, ABC was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [(x-5, y+1)]

How to complete the similarity transformation?

From the figure, we can see that the side lengths of the triangle DEF are twice the side lengths of ABC

This means that ABC must be dilated by a scale factor of 2

Also, both triangles are on either sides of the x-axis.

This means that ABC must be reflected across the x-axis

Lastly, the triangle must be translated 5 units left and 1 unit up

Read more about transformation at:

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Express 50grams into ounces

Answers

Answer:

1.7637

Step-by-step explanation:

Welcome to 50 grams to ounces. If you have been wondering about how many ounces in 50 grams, then you are perfectly right here. 50 grams can also be written as 50 g, and the symbol for ounces is oz. In other words, this article is about the conversion of 50 g to oz, to the unit international avoirdupois ounce to be exact, but we also explain you the conversion into the international troy ounce. Read on to learn everything about 50 grams in ounces.

To change 50 g to oz divide the mass in grams by 28.349523125. The 50 grams to ounces formula is [oz] = [50] / 28.349523125. Thus, we get (all results rounded to 2 decimals):

50 g to oz = 1.76 oz

50 g to ounces = 1.76 ounces

50 grams to ounces = 1.76 oz

Fifty grams to ounces equal 1.76 international avoirdupois ounces, the unit used to measure grocery products (mass) in retail stores in the United States for example.

The result also applies to 50 g in oz for dry foods in bulk, but is not valid for liquids, whose volumes are measured in fluid ounces: 50 grams to ounces ≠ 50 grams to fluid ounces.

Finally, 50 grams to troy ounces results in 1.61 oz as the formula is [troy oz] = [50] / 31.1034768. Thus, 50 gram gold to ounces is 1.61 international troy ounces when converted.

#LearningIsFun

A survey found that women spend on average $146.21 on beauty products during the summer months. Assume the standard deviation is $29.44. Find the percentage of women who spend less than $160.00. Assume the variable is normally distributed.

Answers

see the attached image.

The percentage of women who spend less than $160.00 is 68.03%.

What is Standard Deviation?

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

standard deviation = $29.44.

A survey found that women spend on average $146.21

so, the z- score

= 160 - 146.21 / 29.44

= 13.79/ 29.44

= 0.4684

Now, P( z< 0.4684)= 0.6803= 68.03%

Learn more about Standard deviation here:

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in 2018 the average monthly rainfall in the Amazon rainforest was 9.50 inches. in 2020 the average monthly rainfall was decreased by 14%. what was the average monthly rainfall in the Amazon forest for the year 2020?

Answers

Answer:

8.17 Inches

Step-by-step explanation:

Original:9.50 inches

% decreased :14% from original =.14*9.50=1.33

In year 2020 it will be = Original - decreased=9.50-1.33=8.17 inches

Urgent I need this now! Will give brainliest if you show your work.

Answers

Answer:

13 and 7

Step-by-step explanation:

4x^2 + 2y^3-10=? I don't know the answer may you help me

Answers

Answer:

x^2 - 1 = 0

Im not sure if this is how you want it but its one of the ways to answer this problem

Angle CED = 62 degrees

Answers

Answer:

This is what I worked out

A store manager is marking down washing machines from $820 to $287. What is the discount percentage?

Write your answer using a percent sign (%).


Answers

Answer:

65%

Step-by-step explanation:

formula is (og(original) price - sell price ÷ og price)*100

820-287=533

533÷820=0.65

0.65x100=65

65%

HELP ME OUT PLS!!!!!!

A polygon is translated according to the rule (x,y) - (x – 3, y) to create a new polygon. Which statement is true?​

Answers

Answer: D

Step-by-step explanation:

This is a translation, so this means side lengths are preserved because a translation is a rigid motion. If all the side lengths are the same, then the perimeters must be the same.

100 POINTS!!! Which statement about rational numbers is correct?

Rational numbers have decimal expansions that are non-repeating.

Rational numbers have decimal expansions that repeat or terminate.

Rational numbers do not have decimal expansions.

Rational numbers only have decimal expansions that terminate.

Answers

Answer: Rational numbers have decimal expansions that repeat or terminate.

Step-by-step explanation:

The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.

can someone help me with this please

Answers

Answer:

15.9

Step-by-step explanation:

Draw CE and CF

Note ∠ECD = ∠CFD and ∠D = ∠D

so ΔCED ~ ΔFCD

then ED : CD = CD : PD

CD² = ED x PD = 12 x (9 + 12) = 252

CD = 15.9

What’s the correct answer for this

Answers

I think it is by the rate of 1.8 since that is slope and when u multiply that 1.8 times a number it’s increased by 1.8 like 1.8*2 is 3.6.

Jessica bought 18 packs of cola. Each pack had 8 cans. She drank 6 of the cans. How many cans are left?

Answers

Answer:

multiple 18 x 8, then minus 6 from your answer

Answer:

1pack=6cans

18packs=x

=108canspacks=1xpack

Dividing both sides by 1 pack

X=108cans

M=-6and n=2, the value of the expression

Answers

Answer:

the value of expression is

given below

-6×2

=-12 Ans

Please help 40 points
Show step by step

Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is shown.

She calculates the area of the base of the pyramid (through long, hard work) to be 220.22 square units. The height of the pyramid is 15 units. Now she needs to calculate the volume of the pyramid.

(a) Calculate the volume of the pyramid for Sarah.

(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.

(c) Calculate the volume of the larger pyramid for Sarah.

Answers

Answer:

a) The volume of the pyramid 440.44 cube units

(b) No she doesn't

(c) The volume of the larger pyramid is 1,486.485 cube units

Step-by-step explanation:

The given parameters are;

The scale factor of the pyramids, S.F. = 2:3

The base area of the small pyramid,  = 110.11 square units

The height of the small pyramid, h₁ = 12 units

(a) The volume of a pyramid, V = (1/3) × Area of base × The height of the pyramid

Therefore;

The volume of the small pyramid, V₁ = (1/3) × 110.11 square units × 12 units

V₁ = 440.44 cube units

The volume of the small pyramid, V₁ = 440.44 cube units

(b) No she does not have to go through all the hard work again to find the volume of the larger pyramid

She only has to make use of the scale factor relationships of the two pyramid to calculate the volume of the larger pyramid

The volume scale factor = (The linear scale factor)³

(c) The linear scale factor of the pyramids = 2:3 = 2/3

Therefore;

The volume scale factor of the pyramids = (2/3)³ = 8/27

To find the volume of the larger pyramid, V₂, from the volume of the smaller pyramid, V₁, we multiply the volume of the smaller pyramid, V₁,  by 27/8 as follows;

V₂ = V₁ × (27/8)

Therefore;

The volume of the larger pyramid, V₂ = 440.44 cube units × (27/8) = 1,486.485 cube units

The volume of the larger pyramid, V₂ = 1,486.485 cube units.


Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without
replacement from a standard deck. If both cards are hearts, your friend will pay you $35. Otherwise, you have to pay your friend $5.
Step 1 of 2: What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer:

[tex]-2.65[/tex]

Step-by-step explanation:

[tex]x\\\\ P(x)[/tex]               [tex]35\\ \\ \frac{156}{2652}[/tex]               [tex]-5\\\\\frac{2496}{2652}[/tex]

[tex]E(x)=\frac{156}{2652}\times35-\frac{2496}{2652}\times5\\ =-2.65[/tex]

I hope this helps you

:)

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