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

HELP ME ASAP PLEASE!!

Answers

Answer:

a=45 b=65

Step-by-step explanation:

You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above

what expression is equivalent to (2.1x+4.3) - (-3x-7)

Answers

The answer is 5.1x+11.3

This formula gives the yearly depreciation D for
an item in terms of its cost C, its salvage value
S, and the number of years 71. Solve the
equation below for C.
C-S
De

Answers

Answer:

C = 71D + S

Step-by-step explanation:

The computation of the equation for C is as follows:

Given that

Yearly Depreciation = D

Cost = C

Salvage value = S

Number of years = 71

Based on the above information

The formula for the yearly depreciation i.e. D is

D = (C - S) ÷ 71

71D = C - S

71D + S = C

So, the equation would be

C = 71D + S

Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax

Answers

Missing Information:

Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

Answer:

[tex]Total = 26.1\%N + 22[/tex]

Step-by-step explanation:

Given

[tex]R = 45\%[/tex] --  [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population

[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R

[tex]Favor\ Flat\ Tax = 22[/tex] in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

[tex]Proportion = 45\% * 58\%[/tex]

[tex]Proportion = 26.1\%[/tex]

So, those that favor flat tax rate in group R are:

[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding  people that support flat tax rate in each group.

[tex]Total = Group\ R + Group\ T[/tex]

[tex]Total = 26.1\%N + 22[/tex]

Someone help ASAP need answer

Answers

so to calculate slope, it's change in y over change in x or y2-y1/x2-x1:
-7-11 -18
----------= -------- = -2, the answer is B
5-(-4) 9

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?

s - 10

2s + 10

s + 10

2s - 10

Answers

Answer:

a

Step-by-step explanation:

let the third side and second side be x and s respectively

a/c to question,

X = s - 10

HELP PLZ!! WILL MAKR BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

The y-intercept is -5.5 as per graph

Taking two random points from the graph to find the slope:

(-1, -6) and (1, -5)

Use slope formula: m = (y2 - y1)/(x2 - x1)

m = (-5 - (-6))/(1 - (-1)) = 0.5

The line in slope-intercept form is (y = mx + b)

y = 0.5x - 5.5

or

y = 1/2x - 11/2

Answer:

i don’t think I understand.

Step-by-step explanation:

Which method could be used to estimate the growth rate of an exponential function from its graph?
-Divide the value of the function at x=3 by the value of the function at x=0, and then take the square root of the result.
-Divide the value of the function at x=2 by the value of the function at x=0, and then square the result.
-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.
-Divide the value of the function at x=0 by the value of the function at x=1, and then subtract the result from 1.

Answers

Answer:

-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.

Step-by-step explanation:

hope this help

pick me as the brainliest dont report me please

What is the value of X?

A: 125
B: 110
C: 35
D: 55

Answers

Answer:

The value of X is 35

Step-by-step explanation:

If I’m not right I apologize

Help 9th grade math please please please

Answers

Answer:

A.) This system has no solutions.

Step-by-step explanation:

y = 1/2x + 4

-1/2x + y = -5

-1/2x + (1/2x + 4) = -5

4 = -5

The system has no solutions, if we graph it, we get that it has the same slope with two different y-intercepts, these two are parallel. These two points will never meet at a point.

Answer:

use the relationship between coefficients of a pair of linear equations for no solutions i.e. a1/a2 equal to b1/b2 not equal to c1/c2 .

Here, a is coefficient of x and b is coefficient of y and c is constant term in both equation but make sure that you put the values of a1,a2,b1,b2,c1 and c2 after converting both equation in the form ax+by+c=0 with proper sign and here y=1/2(x) +4 is equation 1 and other is equation 2

Which of the following represents the GCF of 98 ab 3 and 231 a 3 ?

7 a
7 a 3
7
7 a 3b 3

Answers

Answer:

7a

Step-by-step explanation:

we know this, because there is no b in the second polynomial. Therefore, there cannot be a b in the answer. There is also no b^3 in the second polynomial, so there cannot be a ^3

4(x - 6)= 24

show your work ​

Answers

Answer:

12

Step-by-step explanation:

4(x-6)=24

4x-24=24

  +24 +24

4x=48

x=12

anyone know? plz help any oen

Answers

your answer is no solution
No solution is correct

Which fraction is equivalent to 2/4

Answers

Answer: 1/2

Step-by-step explanation:

2/4=1/2

Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.

Step-by-step explanation:

Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES

Answers

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

What scale factor was used to produce the image?
A. 49
B. 18
C. 7
D. 1

Answers

The answer is

C. 7

You count the boxes along the green line.

b. Sonya says that her profit is increasing 4 times as
fast as Kirsten's profit. Do you agree? Explain.
Lesson 8 Compare Functions

Answers

Answer:

No, I beleive that her profits are only 3 times as much as Kirsten's profits.

Step-by-step explanation:

In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced

Answers

Answer:

48 Siamese cats were surveyed

Step-by-step explanation:

Let x represent the total number of surveyed Siamese cats.

Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:

Number of cats who lapped = (5/8)x

Also, 3/16 admitted they would have preferred to use a straw:

Number of cats who used straw = (3/16)x

Taking into consideration that 39 of the Siamese cats gave one of those two answers:

(5/8)x + (3/16)x = 39

(13 / 16)x = 39

x = 39 * 16 / 13

x = 48

48 Siamese cats were surveyed

Rachael is a nurse she earns 12 vacation days after working 768 hours how many hours does rachael need to work to earn 1 vacation day

Answers

Answer:

the answer would be 64 hours

Step-by-step explanation:

You just had to divide 768 by 12

Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{4-1}{2-1}[/tex]

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

The slope is y= 3x-2 is correcttt

1/3 + 3/4= 3/12 + 9/12 =12/12 = 1circle the one mistake

Answers

How do I circle the mistake but it is 1/3 plus three fourths isn’t 3/12

Answer:

The left side  1/3  does not equal to the right side  1 , which means that the given statement is false.

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Answers

Answer:

27 degrees

Step-by-step explanation:

is the answer

if (x ➖ y)2=441 and xy=46 find the value of x2+y2​

Answers

Why didn’t you just take a picture?

Bruno claims that the solution to the linear equation −3(2x+6)+25=1 is x=1. He shows the steps below to justify his solution.

Answers

Answer:

Bruno is correct x=1

Step-by-step explanation:

-3(2x+6)+25=1

-6x-18+25=1

-6x+7=1

-6x=-6

1=x

two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another

Answers

Answer:

la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb

WILL MARK YOU BRAINLIEST ANSWER 1-3 plz

Answers

Answer:1)52

2)13

3)22

Step-by-step explanation

The answer to each part is mentioned below -

P = 72RU = 16SU = 22

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a kite TSVU as shown in the image.

{ 1 } -

UT = ST = 20

Perimeter of ΔSUT will be -

P = ST + TU + SU

P = 20 + 16 + 16 + 20

P = 72

{ 2 } -

Perimeter of ΔSUV will be -

P = SV + SU + VU

38 + 26 + VU = 102

VU = 38

ΔSUV ≅ ΔRUV

RU = SR = 16

{ 3 } -

ΔSUV ≅ ΔRUV

SR = RU

4x - 1 = x + 8

4x - x = 8 + 1

3x = 9

x = 3

SU = SR + RU

SU = 4x - 1 + x + 8

SU = 12 - 1 + 3 + 8

SU = 22

Therefore, the answer to each part is mentioned below -

P = 72RU = 16SU = 22

To solve more questions on kites, visit the link below -

brainly.com/question/1041084

#SPJ5

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 C)-4 D)
4

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Mathematically if we have lengths a, b and c

For a triangle to occur, let us say that the third side is c

then a + b must be greater than or equal to c

Hence c must be equal to (4 + 8) or greater than (4 + 8)

With the options given , A is the correct answer

Ana tiene ahorrados 30 €. Un fin de semana sale al cine con unos amigos y se gasta 7 €, le compra un regalo que le cuesta 12 € a una amiga y paga el billete de tren, que le supone 3 €. Si al llegar a casa su padre le da sus 15 € semanales, ¿cuánto le queda finalmente? (Plantear la solución como una única operación con enteros).

Answers

Answer:

A Ana le queda 23 €.

Step-by-step explanation:

La mejor estrategia para la resolución de este problema consiste en leer paso a paso y traducirlo en una serie de sumas y restas. Comenzamos:

1) Ana tiene ahorrados € 30:

[tex]x = 30\,EUR[/tex]

2) Un fin de semana sale al cine con unos amigos y se gasta € 7:

[tex]x = 30\,EUR-7\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

3) Le compra un regalo que le cuesta € 12 a una amiga y paga el billete de tren, que le supone € 3:

[tex]x = 23\,EUR-12\,EUR-3\,EUR[/tex]

[tex]x = 8\,EUR[/tex]

4) Si al llegar a casa su padre le da sus € 15 semanales:

[tex]x = 8\,EUR + 15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

Si lo definimos como única operación con enteros, tenemos que:

[tex]x = 30\,EUR-7\,EUR-12\,EUR-3\,EUR+15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

A Ana le queda 23 €.

a giraffe is 7 feet tall how tall is the giraffe in yards?​

Answers

Answer:

2.3 yards.

Step-by-step explanation:

Per ever 3 feet is 1 yard.

Following that idea, we have to divide 7 by 3.

[tex]7/3=2.333[/tex]

rounding to the nearest tenth:

A giraffe that is 7 feet tall is 2.3 yards tall.

Answer:

2.3

Step-by-step explanation:

This is quite simple; just find out how many feet are in 1 yard, then multiply it to yards.

Solve

Given: 7 feet giraffe

To find: 7 feet in yards

First, 1 foot = 0.3 yards

∴, 7 feet = 1/0.3 × 7/?

Multiply 0.3 and 7

7 × 0.3 =  2.3

Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.

Answers

Answer:

No

No

Yes

Step-by-step explanation:

-1/4 is the only correct solution to the equation represented by the graph.

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