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Ad libitum [116K]
3 years ago
6

A boy bought 3 cakes and 4 pies from a shop and received $7.50 change from $40. If he had bought 4 cakes and 3 pies from the sam

e shop, then he would have received $0.75 change instead. How much did he pay for each cake and each pie?
Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer: the cost of a cake is $8.5

the cost of a pie is $1.75

Step-by-step explanation:

Let x = the cost of a cake

Let y = the cost of a pie

A boy bought 3 cakes and 4 pies from a shop and received $7.50 change from $40. This means that the cost of the 3 cakes and 4 pies is 40-7.5 = $32.5. Therefore,

3x + 4y = 32.5 - - - - - - - -1

If he had bought 4 cakes and 3 pies from the same shop, then he would have received $0.75. This means that the cost of the 4 cakes and 3 pies is 40-0.75 = $39.25. Therefore,

4x + 3y = 39.25 - - - - - - - -2

Multiply equation 1 by 4 and equation 2 by 3. It becomes

12x + 16y = 130

12x + 9y = 117.75

Subtracting ,

7y = 12.25

y = 12.25/7 = 1.75

From equation 1,

3x = 32.5 - 4y

3x = 32.5 - 4×1.75 = 32.5 - 7

3x = 25.5

x = 25.5/3 = $8.5

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In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?
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Answer:

40/41

Step-by-step explanation:

From the given diagram;

BA is the hypotenuse = 41

AC is the opposite = 9

CB is the adjacent = 40

Cos<B = adjaccent/hyp

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At a raffle, 1500 tickets are sold for $2 each for four prizes of $500, $250, $150, and $75. You buy one ticket. What is the exp
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3 years ago
What is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)
Aloiza [94]

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)(\pir^{3})

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured =  2664.31/3.14 x 8.6

radius sqaured =  2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured =  2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured =  2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

3 0
2 years ago
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