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4 years ago

Georgia and Courtney share sweet in the ratio 4:7. Courtney gets 24 sweets than Georgia. How many sweets do they both get?

Mathematics

1 answer:

AleksAgata [21]4 years ago

5 0

Answer:

Georgia would get 32 sweets and Courtney would get 56 sweets.

Step-by-step explanation:

This question asks you to find equivalent fractions or ratio. They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7. They also tell us that Courtney gets 24 more sweets than Georgia. If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24). We then can use cross-multiplication and division to solve for the value of 'x'. In this case 4(x +24) = 7x. We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32. 32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.

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Which expression is equivalent to −1/4x+1/2 ?

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Answer:

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Step-by-step explanation:

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3 years ago

7+(8+12)=____+12? Which property was used?

Oksi-84 [34.3K]

I know the number ypu have to fill in would be 15 I believe that is the commutative or associative property or something with addition

3 0

3 years ago

Read 2 more answers

Please help !!!! urgent

Finger [1]

Answer:

$P(x) = 16x - 100 - 0.1x^2$

Step-by-step explanation:

Given

$R(x) = 46x$

$C(x) = 100 +30x +0.1x^2$

Required

Determine the profit function

This is calculated as follows:

$P(x) = R(x)- C(x)$

Substitute values for R(x) and C(x)

$P(x) = 46x - (100 + 30x + 0.1x^2)$

Open bracket

$P(x) = 46x - 100 - 30x - 0.1x^2$

Collect like terms

$P(x) = 46x - 30x - 100 - 0.1x^2$

$P(x) = 16x - 100 - 0.1x^2$

3 0

3 years ago

kareem took 5 hours to drive 470km from Sudbury to Brantford. for part of the trip he drove at 100km/h. for the rest of the trip

alexira [117]

Answer:

He drove 200 km at 100 km/h and 270 km at 90 km/h

Step-by-step explanation:

Distance = Speed × Time

Assume that Kareem drove at 100 km/h for x hour

∵ Kareem drove at 100 km/h for x hours

∴ He drove a distance = 100 × x

∴ He drove a distance = 100 x km

∵ He took 5 hours in whole trip

- Subtract x from 5 to find the time that he took in the rest

of the trip

∴ The time of the rest of the trip = 5 - x hours

∵ For the rest of the trip he drove at 90 km/h

∴ He drove a distance = 90 × (5 - x)

∴ He drove a distance = 450 - 90 x

∵ He drove 470 km in whole trip

- Add the two distance and equate the sum by 470

∴ 100 x + 450 - 90 x = 470

- Add the like terms in the left hand side

∴ 10 x + 450 = 470

- Subtract 450 from both sides

∴ 10 x = 20

- Divide both sides by 10

∴ x = 2

Substitute the value of x in each distance to find the distance of each part

∵ The distance of the first part = 100 x

∴ The distance of the first part = 100(2)

∴ The distance of the first part = 200 km

∵ The distance of the second part = 450 - 90 x

∴ The distance of the second part = 450 - 90(2) = 450 - 180

∴ The distance of the second part = 270 km

He drove 200 km at 100 km/h and 270 km at 90 km/h

4 0

3 years ago

This is a absolute value equation solve for x 5 4x + 2) + 10 = 25

Alina [70]

Answer:

x = 1/4

Step-by-step explanation:

in order to evaluate for the value of x in the equation 5( 4x + 2) + 10 = 25

we are going to open the bracket the combine the like terms together and evaluate.

solution

5 (4x + 2) + 10 = 25

20x + 10 + 10 = 25

combine the like terms

20x = 25 - 10 -10

20x = 5

divide both sides by the coefficient of x

20x/20 = 5/20

x = 1/4

therefore the value of x in the expression 5 4x + 2) + 10 = 25 is evaluated to be 1/4

4 0

4 years ago