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]


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Answer:

$0.035

Step-by-step explanation:

Answer: 0.84 cents per inch

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Answer:

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A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?

Answers

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

[tex]a^2+b^2=c^2[/tex]

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Answers

Answer:

the square root of 20 could be between 4 and 5 OR -4 and -5.

Step-by-step explanation:

plus or minus 4 squared is 16 and plus or minus 5 squared is 25. finally, 20 is between 16 and 25.

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Answers

Answer:

12 : 24

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 = 3 parts

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Is the following relation a function?

Answers

Answer:

yes

Step-by-step explanation:

A function is any graph that the x values do not repeat.

You can check this by using this vertical line test

Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

There are 4 nickels and 4 dimes in your pocket.You randomly pick a coin out of your pocket and placed it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. What is the probability

Answers

Answer:

The probability of picking a nickel or a dime is 25%

Step-by-step explanation:

Since we have the same amount of nickels and dimes we can cancel them out. That would make it a 50% chance to get one or the other, or, a 1&1 chance, but since there is 8 coins all together there is a chance to pull out 2 nickels or 2 dimes. 4 possibilities.

1. 1 nickel 1 dime

2. 2 dimes

3. 2 nickels

4. 1 dime 1 nickel

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Which shows the correct expanded form and product of 35 x 3?
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Answers

Yt. W at we see f. Mmm

Answer:

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Step-by-step explanation:

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Answers

Answer:

K = -2

Step-by-step explanation:

K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y =  mx + b, b is the y -intercept.

~theLocoCoco

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Answer:

0

Step-by-step explanation:

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Answer:

Yes, all equilateral triangles are acute.

Step-by-step explanation:

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Answer:

[tex]6mx - 3nx + my[/tex]

Step-by-step explanation:

2my - my = 1my (1 can also be omitted).

Answer:

6mx-3nx+my

Step-by-step explanation:

Collect like terms:

6mx-3nx+2my-my

subtract: 2my-1my

= 1my

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It’s 19 so the answer would be B

Answer:

B) 19

Step-by-step explanation:

The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1

The second step is to square 3 which equals 9. f(2) = 2(9)+1

The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1

The fourth step is to add 18+1 which equals 19. f(2) = 19

You and two friends buy snacks for a field trip. Using the
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granola, and dried fruit.

Answers

Answer:

13.15

Step-by-step explanation:

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho

Answers

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Answer:

200

Step-by-step explanation:

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Answers

Answer:

$

1

,

920

Explanation:

Find  

15

%

×

12800

15

100

×

12800

1

=

$

1

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Here is an example for your question



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But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

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Step-by-step explanation:

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n
1
7
8
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Answers

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Answers

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

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Answers

Answer:

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Step-by-step explanation:

71÷100×100=71%

Answer: 71%

Step-by-step explanation: it’s pretty simple i think, hope this helps!

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Answers

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Answer:

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