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3 years ago

Mo-Qui has studied Spanish for half an hour longer than he studied History.

1 answer:

7 0

So,

Let s represent the time Mo-Qui spent studying Spanish and h represent the time Mo-Qui spent studying History.

s = h + 30
s > 2 hrs. 15 mins. (he isn't done yet)

Substitute
2 hrs. 15 mins. = h + 30 mins.

Subtract 30 mins. from both sides
1 hr. 45 mins. = h

However, s > 2 hrs. 15 mins., so h must be more than 1 hr. and 45 mins.

h > 1 hr. 45 mins.

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if my grade is 69% what will my grade be if i got a 3.3 of 4 on a essay and it's worth 25% of my grade?

juin [17]

Answer:

72.4%

Step-by-step explanation:

The essay is 25% of your grade, and the rest is 75% of your grade.

25 (3.3/4) + 75 (0.69) ≈ 72.4

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3 years ago

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

Naya [18.7K]

This is just like working with money in a bank account
that's earning 12% interest.

If the population is 422,000 today, and
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then

Population = 422,000 (1.12)ⁿ .

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3 years ago

A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What

kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

Solution:

Let width = $x\ cm$

Length = $x+3\ cm$

Height = $x+3+4=x+7\ cm$

As we know:

$Volume\ of\ box=length\times width\times height$

$308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\$

As width can never be in negative, $x= 4\ cm$

By substituting the value:-

Width = $x\ cm$ = 4 cm

Thus, width of the box is 4 cm.

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3 years ago

Find the rule, and type the missing number in the sequence. 96, 192, ____, 384

Wittaler [7]

Answer:

Missing number is 288, and the rule is +96

Step-by-step explanation:

First subtract 96 from 192, which is 96

then add that to 192 and the missing value is 288

you should also add 96 to 288 just to make sure it gets you to the last number which is 384.

5 0

2 years ago

I would gladly appreciate it

IrinaVladis [17]

Answer: D

Step-by-step explanation: Complementary angles add up to 90 degrees supplementary add up to 180 degrees and vertical angles are like CAF and DAE like how they're diagonal

7 0

3 years ago

Read 2 more answers