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2 years ago

Emilia and Sydney went out to dinner. The bill came to $48. They want to leave a 20% tip and

Mathematics

1 answer:

leva [86]2 years ago

4 0

Answer:

Option B is correct.

Step-by-step explanation:

Total bill = $48

Tip = 20%

Amount of tip = 20% of 48

Amount = $\frac{20}{100}*48$

Amount = 0.2 * 48

Amount = $9.60

Total bill with tip = 48 + 9.60 = $57.60

Dividing by 2 as they are spliting the bill.

Each pays = $\frac{57.60}{2}=28.80$

Therefore,

Option B is correct.

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Are these answers correct

professor190 [17]

No you have to move the decimal place over 2 times to the left

7 0

2 years ago

Zoe plants a sunflower seed and

Len [333]

Answer:

44.52 inches

Step-by-step explanation:

If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.

7 0

3 years ago

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5

Oxana [17]

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

V(x) = 4x³ - 39x² + 93.5x

Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

L(x) = 11 - 2x

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

W(x) = 8.5 - 2x

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

Therefore,

V(x) = (11 - 2x)(8.5 - 2x)(x)

V(x) = (93.5 -22x -17x + 4x²)(x)

V(x) = 4x³ - 39x² + 93.5x

8 0

3 years ago

Can someone order them pleaseeeee

pochemuha

Answer:

$the \: correct \: order \: is \to \\ \boxed{ 0- 9 }\to \boxed{ - 3 - (4)} \to \boxed{ - 6 - ( - 1) }\to \boxed{ 4 + ( - 6) }\to \boxed{ 7 - ( -2 )} \to \boxed{ 6 + 5}$

Step-by-step explanation:

$6 + 5 = 11\\ 4 + ( - 6) = 2\\ - 3 - (4) = - 7 \\ 7 - ( -2 ) = 9\\ - 6 - ( - 1) = - 5 \\ 0 - 9 = - 9 \: \\ hence : the \: correct \: order \: is \to \\ \boxed{ 0- 9 }\to \boxed{ - 3 - (4)} \to \boxed{ - 6 - ( - 1) }\to \boxed{ 4 + ( - 6) }\to \boxed{ 7 - ( -2 )} \to \boxed{ 6 + 5}$

♨Rage♨

4 0

2 years ago

To help restore a beach sand is being added to the beach at a rate of s(t) = 65+24sin(.3t) tons per hour, where t is measured in

Svetach [21]

s(t) = 65+24sin(0.3t)

where t is measured in hours since 5:00 a.m

3-hour period from 7:00 a.m. to 10:00 am

5 am to 7 am = 2 hours

5 am to 10 am = 5 hours

To find the number of tons we take integral of 2 to 5 of s(t)

∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))

∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c

Now we plug in the bounds 2 and 5

∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268

255.268 tons of sand are added to the beach over the 3-hour period

3 0

2 years ago

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