The sum of two numbers is 198. If one number is 20% larger than the other number, what are the numbers?

Answers

Answer 1

x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer 2

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108


Related Questions

If 0.75A = 36, what would you do to solve
for A?

Answers

Answer:

you divide 36 by 0.75

Step-by-step explanation:

Answer:

Divide 36/.75

Step-by-step explanation:

You need to isolate A in order to solve the equation.

Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is the distance of point D to the origin. The measure of ∠E' is the measure of ∠E. △DEF △

Answers

Answer:

Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.

 On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).

Which statements are true? Select three options.

right answer   ∠F corresponds to ∠F'.  

wrong answer Segment EE' is parallel to segment FF'.

right answer The distance from point D' to the origin is One-third the distance of point D to the origin.

wrong answer The measure of ∠E' is One-third the measure of ∠E.

right answer△DEF △D'E'F'

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

EDU


x + 2y = 13
-x + y = 5

Answers

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

A rectangular prism has a volume of 360 cubic feet. One dimension is 10
feet. Which could be the other two dimensions of the prism? Mark all that
apply.
6 feet, 4 feet
9 feet, 4 feet
3 feet, 12 feet
10 feet, 20 feet
6 feet, 6 feet
(thanks)​

Answers

Answer:

The answers are:

9 feet and 4 feet

3 feet and 12 feet

6 feet and 6 feet

Do 1,2 for 5-8 points.

Answers

Answer:

15 +16 +17

21+23+25

Step-by-step explanation:

what is k if k-9/4 = 11

Answers

i don’t know. i need free points
K=11+9/4
K=44/4+9/4
K=53/4

If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)

Answers

Answer:

1880

Step-by-step explanation:

Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Answers

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Factor the trinomial
The factors of m^2+12m+35 are ____ and ____

Answers

Factor:

(m+5)(m+7)

Solve for the numbers inside, set it = to 0:

m+5=0 >solve
m=-5

m+7=0>solve
m=-7

!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths​

Answers

Answer:

1/4

That would be the answer because 6/8 minus 2/4 would equal 1/4

Subtract six eighths minus two fourths is the same as 6/8 - 2/4.

Find common denominators.

6/8

2/4 = 4/8

Subtract.

6/8 - 4/8

2/8

Simplify.

2/8 = 1/4

Therefore, the answer is 1/4

Best of Luck!

Which is a reasonable estimate for the circumference of the circle?

Answers

Answer:

24 or 25

Step-by-step explanation:

Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24

Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?

Answers

Answer: 6%

Step-by-step explanation:

Principal= $1875

Time= 10 years

Interest= $1125

Rate = Unknown

Recall that,

Interest= (Principal×Rate×Time)/100

I = PRT/100

100I = PRT

R= (100×I)/PT

Rate = (100 × 1125)/(1875 × 10)

Rate = 112500/18750

Rate= 6%

The rate is 6%

Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer

Answers

Answer:

90

Step-by-step explanation:

When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mm

someone please answer this for me! it’s timed

Answers

Answer:

151 degrees

Step-by-step explanation:180 - 29=151

please help will mark brainly

Answers

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?

Answers

Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=

Answers

Answer:

[tex]x=\dfrac{325}{c-7}[/tex]

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

[tex]c=\dfrac{7x+325}{x}[/tex]

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

[tex]x=\dfrac{325}{c-7}[/tex]

Therefore, the number of t-shirts, x in terms of the average cost, c is:

[tex]x=\dfrac{325}{c-7}[/tex]

Helpp plsss!!!! I've to submit ASAP

Answers

i don’t rly remember surface area i’m sorry i couldn’t help
The answer to 6. Is the height is 8.5

Write the equation of a line that passes through the point (6,-3) and has a slope of -2

A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2

Answers

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Solve for ttt. 2(t+1) = 10

Answers

Answer:

I hope this helps you. Have a great rest of your day!

The required, solution to the equation 2(t+1) = 10 is t = 4.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Expanding the left side of the equation, we get,

2t + 2 = 10

Subtracting 2 from both sides, we get,

2t = 8

Dividing both sides by 2, we get,

t = 4

Therefore, the solution to the equation 2(t+1) = 10 is t = 4.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?

Answers

The answer is Gonna was a great game and it is so far

Mr. and mrs. Hawell want to file their income tax return together. Which filing status should they use?

Answers

Answer:

The one that ends with jointly!

Step-by-step explanation:

Answer:

B. Married filing jointly

Step-by-step explanation:

Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?

Answers

Answer:

29.64

Step-by-step explanation:

First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.

Answer:

22.80/100%   ?/30%

Step-by-step explanation:

100/10=10*3= 30 %

22.8/10=2.28*3=6.84

22.80-6.84=15.96

$ 15.96 But with out the discount it cost and adding 30 % to the price it will be $29.64.

I kinda did something wrong that i didn't notice.


what’s the answer for this

Answers

Answer:

63 yd²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 9, thus

A = 7 × 9 = 63 yd²

Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat

Answers

Answer:

Each parrot Bird ate 1/8 of a bag

Step-by-step explanation:

Here, we are interested in calculating the portion of the bag eaten by each of the pet birds

Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag

Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag

A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?

Answers

Answer:

4

Step-by-step explanation:

4,12

1,3

4/12=4

12/3=4

The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.

Explain about the Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.

= 4,12

= 1,3

= 4/12 =4

= 12/3 =4

To learn more about Dilation refer to:

https://brainly.com/question/3457976

#SPJ2

Find the area? Please help

Answers

Answer:

6.285

Step-by-step explanation:

π·22≈12.56637 divided by 2 (half) is 6.285

Answer:

12.56 units squared

Step-by-step explanation:

find the area of the whole circle:

formula for this is: pi multiplied by the radius which is squared.

The math for this is Below

3.14 x 2 squared

2 squared is 4

so 4 times 3.14 which is 12.56

The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket

Answers

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

What is cumulative frequency

Answers

Explanation:

Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.

Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

Find the surface area of the prism. Write your answer as a decimal.

Answers

Answer:

382.5 in²

Step-by-step explanation:

2 triangles + 3 lateral sides

2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)

90 + 90 + 81 + 121.5

382.5 in²

Answer:

[tex]382.5 {in}^{3} [/tex]

Step-by-step explanation:

hope this helps

Other Questions
I need help guys this time it is 6 points cuz I'm poor so PLZ help I really need it !!!!!!!! Which detail from "The Piata" best supports the theme that people express love in their own way?He looked like a daddy-long-legs spider with his skinny arms and legs sticking out from his short round body. I shook my head as I sent the orange cylinder down with a thud against the garage floor. The paste inside bubbled and burped.I got up from my place at the bucket and grabbed two empty milk jugs from the hundreds that were lined up in neat rows. I handed them to him. A smile started at the edges of his mouth as he labored on his creation. He called me over. "Mijo, get my colors and the Lyndon B. Johnson first worked as a ______________, which strongly influenced his views on segregation and government.a.Senatorb.teacherc.U.S. Navy fighter pilotd.political director When can natural selection lead to evolution in a population?A. If the environment of the population is stable and providesresourcesB. If the individuals in the population have very little genetic variationC. If the population has unequal numbers of parents and offspringD. If the frequency of the alleles for a trait in the population changes 100 to anyone who can answer all of these !!! It is the responsibility of the judicial branch toenforce the laws.interpret the laws.carry out the laws:create the laws. 2. Explain the advantages and disadvantages of using utilizing the different methods of procurement for each style of independentoperation and the multi-unit foodservice operation I will mark brainliest to first correct answer! What do affective treatment options provide Jeremys dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make? What is the range? 5,10,5,4,5,10,3,10Help me pls Find the missing angle measurements Which answer choice correctly lists the flow of food through the GI tract (gastrointestinal tract) of the digestive system?mouth-- stomach-- small intestine-- large intestine-- rectum rectum-- large intestine--- small intestine--- stomach--- esophagus-- mouthmouth-- esophagus-- stomach-- small intestine--- large intestine--- rectum mouth-- stomach-- small intestine-- esophagus--- large intestine-- rectum Can someone helpppppppppp What slows down heat energy from escaping the Earth? why are the group 17 elements the most reactive of the nonmetal elements a)they are the biggest elements b)they have the fewest electrons c)they are located on the farthest right side of the periodic table d)they require only one electron to fill their outer energy level I need some help!!!!!!!!! PLZ HELP WILL RATE BRAINLIEST REMEMBER IT HAS 5 DIGITS I need help.! ASAP PLEASE Find the volume of a cylinder if the radius is 5 in. and the height is 20 in.