The costs of 1 kg apples and 1 kg grapes are in the ratio of 9:7. The cost of 1 kg apples is Rs 20 more than the cost of 1kg grapes. Find the cost of 1 kg apples and 1 kg of grapes.

Answers

Answer 1

Answer:

Apple = Rs90

Grape = Rs70

Step-by-step explanation:

Given

Represent Apples with A and Grapes with G

Such that:

The ratio is

[tex]A : G =9:7[/tex]

And the price is

[tex]A = 20 + G[/tex]

Required

Determine the cost of 1 kg of each fruit

[tex]A : G =9:7[/tex]

Convert to fraction

[tex]\frac{A}{G} = \frac{9}{7}[/tex]

Cross Multiply

[tex]7A = 9G[/tex]

Make A the subject

[tex]A = \frac{9}{7}G[/tex]

Substitute [tex]\frac{9}{7}G[/tex] for A in [tex]A = 20 + G[/tex]

[tex]\frac{9}{7}G = 20 + G[/tex]

Collect Like Terms

[tex]\frac{9}{7}G - G = 20[/tex]

Take LCM

[tex]\frac{9G - 7G}{7}= 20[/tex]

[tex]\frac{2G}{7}= 20[/tex]

Multiply through by 7

[tex]7 * \frac{2G}{7}= 20 * 7[/tex]

[tex]2G= 20 * 7[/tex]

Divide through by 2

[tex]\frac{2G}{2} = \frac{20 * 7}{2}[/tex]

[tex]G = \frac{20 * 7}{2}[/tex]

[tex]G = 10 * 7[/tex]

[tex]G = 70[/tex]

Substitute 70 for G in [tex]A = \frac{9}{7}G[/tex]

[tex]A = \frac{9}{7} * 70[/tex]

[tex]A = 9 * 10[/tex]

[tex]A = 90[/tex]


Related Questions

I need help with an explanation

Answers

Answer:

18

Step-by-step explanation:

First add what you do know: -2 + 9 = 7

Next, to find the answer subtract that from 25 to find what is left over and that is you answer!

25-7=18

Hope that helped!! :)

find the perimeter of the shaded figure.

Answers

Answer:

38

Step-by-step explanation:

Count the unit squares for each side, starting from the left it's 7, 10, 7, 2, 2, 6, 2, and 2

Now add them together:

7 + 10 + 7 + 2 + 2 + 6 + 2 + 2 = 17 + 9 + 8 + 4 = 26 + 12 = 38

Answer: 38 units

Step-by-step explanation: Perimeter is asking for the total length of all the sides that make up a figure. The top border is 10 units, the two outer sides are 7 each (14 in total), if you add all the downward facing edges you get another 10 units, and the two inside sides are 2 units each (4 in total).

10+14+10+4 = 38

Twenty (20) is what percent of 10% of 4,000?

Answers

Answer:

400

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

Samantha was training to play basketball. She threw the ball 19 times. Gabrielle wrote down all Samantha's throws and for all the ones who got in the basket she added 5 points. For all the throws that weren't successful, she got rid of 3 points. At the end Samantha got 55 points. How many times did Samantha throw the ball in the basket successfully?

Answers

Answer:

15 times.

Step-by-step explanation:

5 x 14 = 70 points

3 x (19-14) = 3 x 5 = 15 points

70 points - 15 points = 55 points.

using the elimination method to solve the system of equations.

3x+6y =36
3x-6y=0


a. 3,6
b. 6,-3
c. 6,3
d. 3,-6

Answers

Answer:

c. (6, 3)

Step-by-step explanation:

subtract

3x + 6y = 36

3x - 6y =  0

12y = 36, y = 3

3x + 6(3) = 36

3x + 18 = 36

3x = 18, x = 6

x = 6, y = 3

Answer:

the answer is b good luck

A=16.7
B=17
C=23
D=7

Answers

Answer:

17

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:  [tex]a^{2} +b^{2}=c^{2}[/tex], where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).

Steps:

-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation:  [tex]15^{2} +8^{2}=c^{2}[/tex]  (the c is the same as x, just letting you know)

-Then, simplify the equation to get:  [tex]225+64=x^{2}[/tex] (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)

-Add the 225 and 64 to get:  [tex]289=x^{2}[/tex]

-Find the square root of both sides to get x by itself:  [tex]\sqrt{289}=\sqrt{x^{2}[/tex]

-Evaluate the equation to get:  [tex]\sqrt{289} =x[/tex] which simplifies to [tex]17=x[/tex]

Answer: 17

Hope you understand and that this helps with your question! :)

bakaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

So true!!

Explanation:

Answer:

He is my favourite justin beber

I love him too much

can someone help me with 11 please

Answers

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

please help me with this please

Answers

Answer:

the answer is 14 so I need jdjdjrjrjrekeiwodbf jcjcix

Answer:

the answer would be 14

Step-by-step explanation:

The table is going by 4's

Graph the equation y=2x+1

Answers

Answer:

hope it helps

Step-by-step explanation:

PLZ HELP ANSWER ONLY LAST QUESTION PLEASE!

Answers

you need to find the biggest shared factor which is 4x^2. so the answer is 4x^2(3x - 1)
I’m pretty sure it’s 4x^2(3x-1)

in the grid below, the vertices of triangle ABC are A(-1,9), B(7,2), and C(-1,2). Which is closest to the area of triangle ABC? ASAP

Answers

Answer:

28

Step-by-step explanation:

Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

A) 21 years old

B) 22 years old

C) 24 years old

D) 27 years old

Answers

I’m sure it’s 26 but I can’t find the answer here
Let the age of Victor be x and the age of Mr Smith will be x+81

After 3 years 4(x+3)= x+81+3

4x+12= x +84

4x-x= 84–12= 72

3x = 72. Or x = 24

Now Victor's age is 24 and Mr. Smith is 105

In three years Victor will be 27and Mr. Smith will be 108 (four times of 27)

rocky thinks of an odd integer adds the next two consecutive integer which of these could be the sum

Answers

Answer:

C

Step-by-step explanation:

1. Let x be the odd integer. Let y be the sum.

x + (x + 1) + (x + 2) = y

3x + 3 = y

Adding two consecutive integers to an odd integer will result in an even integer.

So, you can eliminate choices B and D since they are odd.

Lastly, plug in choices A and C for y and choose the answer that makes x an integer.

Choice C would give you the correct result.

3x + 3 = 44562

3x = 44559

x = 14853

The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Let

Small odd integer = xNext consecutive integer = x + 1Next two consecutive integer = x + 2Sum of consecutive integers = 44,562

Sum:

x + (x + 1) + (x + 2) = 44,562

x + x + 1 + x + 2 = 44, 562

3x + 3 = 44,562

Subtract 3 from both sides

3x = 44,562 - 3

3x = 44,559

divide both sides by 3

x = 44,559 / 3

x = 14,853

Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Learn more about consecutive numbers:

https://brainly.com/question/10853762

Evaluate -3(c + d)
for c= -2 and d = 1

Answers

Answer:

3

Step-by-step explanation:

The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3

PLEASE help ASAP will give brainlist

Answers

Answer:

if im not mistaken it would be 6

Step-by-step explanation:

because you half the 18

I really need help on gradpoint I will mark you braniliest

Answers

Answer: I’ll say B. Infinity many solutions


Explanation: it’s just a guess sorry if I’m wrong ^_^

if the polynomial p(X)=x⁴-2x³+x²-1 is divided by (X+1), then the degree of quotient polynomial.
a) 1. b)3. c) 4 d)2​

Answers

Answer:

3.

Step-by-step explanation:

Cancel all out and you will get 3.

x+1/x⁴-2x³+x²-1

81-64+7-21=3

Hope this helps :D

(0,3) (0,0) (2,0) (6,-2) (0,5) (-2,6) Which of the points are solutions to the system? Select the 3 correct answers

Answers

The 3 correct answers are a c d

help pls, (20 points and brainlist)

Answers

You mean 8 lol and 35

A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?

t = w + 8 - 1/2
t = w +8 + 1/2
t = 8w + w/2
t = 2w + 2/8

The "/" represent fractions not dividing

Answers

t=8w+w/2
i hope this helps :)

What is the y-intercept of the graph of the linear function?

Answers

Answer:

Your y-intercept will be -6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where the line crosses the y-axis (vertical line). In this case, it was -6.

**please mark brainliest!!

a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid​

Answers

Answer:

Volume=1/3×Area of base×Height

=1/3×16×3

=16m square

Step-by-step explanation:

Is it possible to buy a half of a ticket?

Answers

I don’t think so and if so you might spend less money but I don’t think that’s possible.

Help me pls ! if you do l give you the brainiest

Answers

the first answer is correct because the terms are alike in both expressions

The two expressions in answer A are equivalent with each other.

Find the x-intercept and y-intercept
from the following linear equation:
-7x+ 4y= 56
x- intercept ([?], [ ])
y - intercept ([ 1.[])

Answers

Answer:

y=14+ 7x/4

x=8+ 4y/7

Step-by-step explanation:

move all terms to the side that do not contain the variable.

Use this rule: y = -x + 4

What number are you multiplying by?

Answers

Answer:

the answer is two because if it is 4 then you you are multiplying by 2

Which of the following equations represent linear functions?
The picture will be shown

Answers

B; because it needs to start with y=

What happens to the graph of f(x) when it is multiplied
by a number between 0 and 1?

Answers

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wideStep-by-step explanation:

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider

Step-by-step explanation:

hope it heped

$2,300 invested at 7.5% for 10 years. In simple interest

Answers

Answer:

here's the answers............

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