Arjun and Gretal each pay rent. In 2018, the ratio of the amount each paid in rent was Arjun : Gretal In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 5:7. = 9:13. Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.​

Answers

Answer 1

Answer:

$6525

Step-by-step explanation:

I rewrote the problem before because the ratios are not clear in the given problem.

------------------------------------------------------------------------------------------

Arjun and Gretal each pay rent.

In 2018, the ratio of the amount each paid in rent was Arjun:Gretal=5:7.

In 2019, the ratio of the amount each paid in rent was Arjun:Gretal=9:13.

Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.​

------------------------------------------------------------------------------------------

2018: Arjun/Gretal = 5x/7x

2019: Arjun/Gretal = 9y:13y

5x = 9y

13y = 7x + 290

Solve the first equation for x. Substitute in second equation.

x = 9y/5

13y = 7(9y/5) + 290

Multiply both sides by 5.

65y = 63y + 1450

2y = 1450

y = 725

In 2019, Arjun's rent was 9y.

9y = 9(725) = 6525

Answer: $6525

Check:

Solve for x.

x = 9y/5 = 9(725)/5 = 1305

Now we find Arjun's and Gretal's rents in both 2018 and 2019.

2018: Arjun 5x = $6525; Gretal 7x = $9135

2019: Arjun 9y = $6525; Gretal 13y = $9425

Arjun's rent is the same in both 2018 and 2019 as the problem states.

Gretal's rent is $290 more in 2019 than in 2018 since $9425 - $9135 = $290.

This confirms the answer $6525 is correct.


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the answer is 4 square root of 2

Work out the percentage increase from 320 to 388

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Answer:

21%

Step-by-step explanation:

388-320=68 then divide 68 by 320 which is 0.21 then divide that by 100 or you could move the decimal 2 times to the right which makes it 21%

hope this helped!

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In the diagrama below of ABC, D is a point on
BA, E is a point on BC, and DE is drawn
B
D
E
A
С
If BD = 5, DA = 12, and BE = 7, what is the length
of BC so that AC |DE?
1) 23.8
2) 16.8
3) 15.6
4) 8.6

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Answer: 1

Step-by-step explanation:

A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?​

Answers

Solution:

From the given data

93% of the bar is silver :

[tex]\small\bold{ → 93\% \: \: of \: \: 7kg}[/tex]

[tex]\small \bold{→\frac{93}{100} \times 7 }[/tex]

[tex]\small \bold{→ \frac{651}{100} }[/tex]

[tex]\small \bold{→ 6.51 \: kg }[/tex]

Therefore, 6.51 Kg of Silver is there in the bar.

PERCENT

[tex] \mathbb{QUESTION:}[/tex]

» A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?

[tex] \mathbb{ANSWER:}[/tex]6.51 kilogram (kg) of Silver is there in the bar.

— — — — — — —

[tex] \mathbb{SOLUTION:}[/tex]

[tex] \bold{ 93\% \: of \: 7 \: kg \: \: so, }\\ \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: = 93/100*7 \\ \tt = \frac{651}{100} \\ \: \: \: \: \: \: \: \: \: \: \tt= \underline{ \boxed{ \purple{ \tt 6.51 \: kg}} }\\ [/tex]

Therefore, 6.51 kg of Silver is there in the bar.

_______________❦︎_______________

I have no clue what the answer

Answers

around 8.7 cm

use pythagoras thereom

write 105/20 as a decimal

Answers

Answer:

5.25

Step-by-step explanation:

Answer: 105/20 in decimal = 5.25

Step-by-step explanation: The fraction bar means "divided by" in the fraction 105/20, where 105 is the numerator and 20 is the denominator. As a result, the fraction 105/20 can be written as "105 divided by 20" or "105 20."

We discovered that 105/20 in decimal form is: 105 20 = 5.25 when we divided 105 by 20.

As a result, 105/20 has a decimal form of 5.25.

Hope this helps.

A dozen of eggs was brought at N2000. If each egg was sold at N60, find the profit or loss

Answers

A dozen = 12

Multiply the prices they were sold for by 12:

12 x 60 = 720

By selling the 12 eggs they made 720

Since they bought it for 2000 they lost money.

2000 - 720 = 1280 loss

help this is literally due tomorrow​

Answers

This is a trick question. They eat 1/3 of the gallons given. Multiply

1/3 * 1/3 = 1/9 gallons or 0.111 gallons

Answer: Aye aye, cap'in

Step-by-step explanation:

So we start off with our base value, 1/3 gallons.

We are trying to find how many gallons we have eaten, so we do 1/3*1/3, since we need to find what is 1/3rd of that gallon.

For reference, if you wanted to find how much is left over, we multiply by 2/3 since 1-1/3 = 2/3, so there are 2/3 of the 1/3rd gallons left. Not important for solving this problem, but it might help you understand why we decided to multiply by 1/3.

1/3 * 1/3 = 1/9

Our answer is 1/9.

h^3+4h-25h-100

factor by grouping

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Answers

Answer:

h³-21h-100

Step-by-step explanation:

You only have to subtract 25h from 4h.

what are prime factors
and if you could help what are the prime factors of 42
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Answers

Answer:

factorize(42) = 2 x 3 x 7

Step-by-step explanation:

find the area of the triangle a 52 km b 84 km

Answers

Answer:

2184km²

Hope it helps!

Factor 3x^3 - 15x^2 + 18x.
A. 3x(x - 2)(x - 3)
B. 3(x^2 + 2)(x-3)
C. 3x(x + 2)(x-3)
D. 3(x^2 - 2)(x-3)

Answers

Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

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Answers

Answer:

a. 16; b. mean = 43.75; median = 43; mode = none

Step-by-step explanation:

Put all the numbers in order:

36, 38, 40, 41, 45, 48, 50, 52

a. Range:

52 - 36

= 16

b. Mean:

(36 + 38 + 40 + 41 + 45 + 48 + 50 + 52) /8

= 43.75

Median:

36, 38, 40, 41, 45, 48, 50, 52

=> (41 + 45) / 2

= 43

Mode: None (no numbers come again)

EXPRESS angles X IN TERMS OF Y

Answers

Answer:

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

Step-by-step explanation:

the inscribed angle y is half the measure of the central angle x

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

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?

In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.

Answers

Answer:

ok

Step-by-step explanation:

x:

X is adjacent to the 75 angle so x + 75 need to be 180.

180 - 75 = 105

x = 105

z:

Z is on opposite across outside corners from X so it will be the same thing.

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y:

Y is adjacent to Z so Y + Z must equal 180.

Z = 105

y + 105 = 180

y = 75


[tex] \rm \: If \: y = {e}^{x} - \frac{1}{x} + { log_{e}x } \: \: find \: \frac{dy}{dx} [/tex]








Thanks!!​

Answers

We are given with a function y and need to find dy/dx or the first Derivative of y w.r.t.x , but let's recall

[tex]{\boxed{\bf{\dfrac{d}{dx}\{f(x)\pm g(x)\pm h(x)\pm \cdots =\dfrac{d}{dx}\{f(x)\}\pm \dfrac{d}{dx}\{g(x)\}\pm \dfrac{d}{dx}\{h(x)\}\pm \cdots}}}[/tex]

[tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex]

[tex]{\boxed{\bf{\dfrac{d}{dx}(log_{e}x)=\dfrac{1}{x}}}}[/tex]

[tex]{\boxed{\bf{\dfrac{d}{dx}(e^x)=e^{x}}}}[/tex]

Now consider :

[tex]{:\implies \quad \sf y=e^{x}-\dfrac{1}{x}+log_{e}x}[/tex]

Differentiating both sides w.r.t.x

[tex]{:\implies \quad \sf \dfrac{d}{dx}(y)=\dfrac{d}{dx}\bigg\{e^{x}-\dfrac{1}{x}+log_{e}x\bigg\}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=\dfrac{d}{dx}(e^x)-\dfrac{d}{dx}\left(\dfrac{1}{x}\right)+\dfrac{d}{dx}(log_{e}x)}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-\dfrac{d}{dx}(x^{-1})+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-(-1)(x)^{-1-1}+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+(x)^{-2}+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+\dfrac{1}{x^{2}}+\dfrac{1}{x}}[/tex]

Simplifying will yield

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{dy}{dx}=\dfrac{e^{x}x^{2}+x^{2}+x}{x^{2}}}}}[/tex]

This is the required answer

If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hours, how much time will it take to water the entire lawn?

2 hours

4 hours

10 hours

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I am in middle school.

Answers

Answer:16

Step-by-step explanation:


For 1/8 of the lawn it takes 2 hours

So, for the entire lawn it will take 2/(1/8) = 16

So, your final answer is 16 hoursHope this helps!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression.

Answers

Answer:

For the 2 first exponents you multiply for the last 2 you add the powers

Step-by-step explanation:

-2x4=-8=4^-8

2x-1=-2 4^-2

2+6= 4^8

5-3=2 4^2

Carys is taking 3 biscuits to eat. George steals 2. How many biscuits does Carys eat at the end?

Answers

Cary is taking 3 biscuits to eat. George stels 2. How many biscuits does Cary eat at the end? 1
3-2=1

please help me asap ​

Answers

Answer:

y = 2, 5, 8, 11, 14

Step-by-step explanation:

For this question, it's simply asking us to solve for y, at given values of x. So everytime we just need to substitute the given value for x and solve for y.

x + y = 8

When x = 6,

6 + y = 8

substract 6 from both sides:

-6 + 6 + y = 8 - 6

y = 2

When x = 3

3 + y = 8

y = 8 - 3

y = 5

When x = 0

0 + y = 8    --> 0 + y = y

y = 8

When x = - 3

- 3 + y = 8

y = 8 + 3

y = 11

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-6 + y = 8

y = 8 + 6

y = 14

I hope this makes sense :)

A circular rug has a radius of 4. 5 feet. What is the circumference of the rug? Use 3. 14 for Pi and round to the hundredths place. 14. 13 28. 26 44. 37 88. 74.

Answers

Answer:

28.26

Step-by-step explanation:

The circumference of a circle is equal to 2πr, where r is the radius. The radius is the distance from the center of the circle to a point on the outside of the circle.

To find the circumference you can plug in the known information and multiply. However, instead of using actual pi, we will use 3.14 because that is what the question says.

2 * 3.14 * 4.5 = 28.26

This means that the distance around the rug is 28.26 feet.

For the pair of similar triangles, find the value of x.

Answers

Answer: 26

Step-by-step explanation:

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0. 15 oz, the production is stopped. What is the range of acceptable values for production to continue? 15. 15 oz to 16. 00 oz 15. 85 oz to 16. 00 oz 15. 85 oz to 16. 15 oz 16. 15 oz to 16. 45 oz.

Answers

The range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

What is the range of acceptable values?

Range is the area of fluctuation between the upper and lower limit. The range of the acceptable values is all the values between the upper and lower limit.

Here, a company manufactures 16-oz boxes of cereal.  Now, this boxes are randomly weighted to ensure the correct amount.

As the discrepancy in weight is more than 0.15 oz then the production of the company is stopped.

To proper functioning of the company without stoppage, the limit of the production should be with in 0.15 oz.

The company produce, 16-oz boxes of cereal and the disperancy is 0.15 oz. Thus the value of the lower limit will be,

[tex]L=16-0.15\\L=15.85\rm \; oz[/tex]

The value of the upper limit will be,

[tex]U=16+0.15\\U=16.15\rm \; oz[/tex]

Thus, the range will be {15.85-16.15 oz}

Hence, the range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

Learn more about the range here;

https://brainly.com/question/443408

An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest 10th of a gram?.

Answers

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

What is the percentage?

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

https://brainly.com/question/24304697

The graph of linear fiction passes through the point (2,11) and (6,21) write equation for the function

Answers

Answer:

Slope intercept form of a linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)

Given:

[tex]\mathsf{(x_1,y_1)=(2,11)}[/tex][tex]\mathsf{(x_2,y_2)=(6,21)}[/tex]

[tex]\mathsf{slope=\dfrac{21-11}{6-2}=2.5}[/tex]

[tex]y=mx+b[/tex]

[tex]11=2.5\times 2+b[/tex]

[tex]b=6[/tex]

[tex]y=2.5x+6[/tex]

Can someone help me with b please??​

Answers

Answer:

1) 0.25
2)4

Step-by-step explanation:

1) 12 divided by 48 is 0.25

2) 48 divided by 12 is 4

hope this helps

PLS HELP IM GIVING 25 POINTS

The figure shows Triangle ABC and some of its transformed images on a coordinate grid:


Which of the four triangles was formed by a translation of Triangle ABC?

1
2
3
4

Answers

Answer: Triangle 4

The specific translation or shifting is "move 9 units to the right and 4 units down".

We can prove this by looking at something like point A(-10,2) and note how it moves to (-4,-2). Going from (-10,2) to (-4,-2) is exactly 9 right and 4 down.

In terms of x,y notation the translation rule is [tex](x,y) \to (x+9,y-4)[/tex]

Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?

Answers

Answer: (17,3) is viable

Step-by-step explanation:

makes the most sense

Answer:

the ordered pair (12,3) is viable

Explanation:

These were my answer choices:

a. The ordered pair (–3, 7) is viable.

b. The ordered pair (0, 4) is viable.

c. The ordered pair (7, 0) is non-viable.

d. The ordered pair (12, 3) is viable.

I just took the test and d was correct:)

What is the value of x in this triangle

Answers

63+74+x=180
180-63-74=43
x=43

someone help!! 18 pts + brainlest !!!! ASAP

Answers

Answer:

33.22 square inches

Step-by-step explanation:

Diameter to Radius: [tex]\frac{1}{2}d = r[/tex]

Area of Circle: [tex]\pi r^2[/tex]

We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3

[tex]3.14 * 2.3^2[/tex] [tex]3.14 * 5.29[/tex] [tex]16.6106[/tex]

Next, since there's two pancakes, we double 16.6106.

[tex]16.6106 * 2[/tex] [tex]33.2212[/tex]

Lastly, we round to the nearest hundredth.

33.2212 ≈ 33.22 square inches

Therefore, the answer is 33.22 square inches.

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