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1 year ago

5

A container has 3 apple juice boxes, 4 grape juice boxes, and 5 orange juice boxes. Alex picks one juice box, drinks it and then

picks another juice box.
What is the probability that Alex will pick a grape juice and then a orange juice?

1 answer:

Vinil7 [7]1 year ago

5 0

The probability is 10/12. If you need it as a decimal, it should be about 8.3%

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An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu

katen-ka-za [31]

Answer:

$Reduction = \$3300$

Step-by-step explanation:

Given

$Pay\ for\ 52\ weeks = \$55,640$

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

$Weekly\ Pay = \frac{\$55,640}{52}$

$Weekly\ Pay = \$1070$

Next, is to determine the pay for 49 weeks;

$Pay = Weekly\ Pay * 49$

$Pay = \$1070 * 49$

$Pay = \$52430$

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

$Reduction = \$55640 - \$52340$

$Reduction = \$3300$

5 0

1 year ago

Tara owes $14,375 in credit card debt. The interest accrues at a rate of 5.3%. She is also borrowing $570 each month for rent fr

siniylev [52]

Answer:

$(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t$

$29619.13

Step-by-step explanation:

a. Tara has $14375 in credit card debt and the interest rate is 5.3%.

Now, if f(t) represent the amount of money Tara have in credit card debt, where t is the number of years after after interest begins to accrue, then

$f(t) = 14375 (1 + \frac{5.3}{100})^{t}$ ......... (1)

Again Tara borrows $570 each month for rent from her parents without any interest.

If g(x) represent the amount of money Tara owes to her parents, where t represents the number of years passed,then we can write

g(t) = 570 × 12t = 6840t ........ (2)

Therefore, $(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t$

b. So, for t = 2 years,

$(f + g)(t) = 14375 (1 + \frac{5.3}{100})^{2} + 6840 \times 2$ = $29619.13

So, Tara has to repay $29619.13 if she continues this way without any repayment for 2 years. (Answer)

7 0

1 year ago

A wedding planner purchased small and large lanterns for a wedding reception. The small lanterns cost $25 each, and the large la

Marina CMI [18]

Answer: y=12 x=28

Explanation:
x=Amount of Small Lanterns y=Amount of Large Lanterns
25x+40y=1180
x+y=40
x=40-y
25(40-y)+40y=1180
1000-25y+40y=1180
1000+15y=1180
15y=180
y=12
x+12=40
x=28

5 0

1 year ago

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There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?

Troyanec [42]

Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4

<h3><u>Solution:</u></h3>

Given that

There are 3 feet in one yard

And there are 12 feet in 4 yard

Number of feet in one yard = 3 that is feet : yard = 3 : 1

Number of feet in 4 yards = 12 that is feet : yard = 12 : 4

And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means

$\frac{3}{1}=\frac{12}{4}$

That is 3 : 1 : : 12 : 4

A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d

Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4

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1 year ago

What is the sum of 3/2x and 7/4x

Advocard [28]

3/2x +7/4x = ...........

3/2x(4/4)+7/4x(2/2)

12/8x+14/8x = 26/8x

26/8x = 13/4x(3.25x)

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1 year ago

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