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jarptica [38.1K]

2 years ago

12

Caroline needs to find 15% of $128, but she doesn't have a calculator. Thoroughly explain how she can do this mentally, detailin

g each step. Give the final answer.

1 answer:

IrinaK [193]2 years ago

5 0

Answer:

The correct answer is $19.2.

Step-by-step explanation:

Caroline needs to find 15% of $128, but she doesn't have a calculator.

Caroline should start by finding the value of 10 % of any number as it is given by dividing the number by 10. Therefore 10% of $128 is given by $\frac{128}{10}$ = $12.8.

Now she can find the value of 5% of $128 which is given by dividing the 10% value of any number by 2. Thus 5% of $128 = $\frac{12.8}{2}$ = $6.4

Thus to calculate the value of 15% of $128 is given by adding 10% of 128 and 5% of 128 = $ (12.8 + 6.4) = $ 19.2.

Thus the value of 15% of $128 is $19.2.

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2 years ago

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$

2. Rewrite $125x^3$ as $(5x)^3$ and 343 as $7^3$

$(5x)^3+7^3+525x^2+735x$

3. Since both terms are perfect cubes, factor using the sum of cubes formula, $a^3+b^3 = (a+b)(a^2-ab+b^2)$ , where $a=5x$ and $b=7$

$(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x$

$(5x+7)(25x^2-35x+49)+525x^2+735x$

4. Factor $105x$ out of $525x^2+735x$

$(5x+7)(25x^2-35x+49)+105x(5x+7)$

5. Regroup

$(5x+7)(25x^2-35x+49+105x)$

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4 0

2 years ago

Read 2 more answers

If you have a whale that weighs 5000lb and he eats 150lb a day. How do you figure out what percent of his body weight he require

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Answer:

3%

Step-by-step explanation:

To find how much of his body weight in food he requires daily, divide:

$\frac{150}{5000}\div\frac{50}{50}=\frac{3}{100}=0.03=3\%$

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2 years ago

Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin a

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Also possible, but only if someone scoops exact amounts (maybe pre-packaged for people who don't want to do their own scooping.): On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).

Step-by-step explanation:

The line beginning at (0,0) ending at (2.5, 5) represents all the prices for any amount that the customer scoops. for example, $5 for 2 1/2 pounds or $1 for 1/2 pound or $2 for 1 pound would all be represented in the graphed line.

The graphs with negative values don't make sense. You can't scoop negative pounds!

<em>Again, good descriptions but difficult to sort out. Are you able to hit [enter] or [return] between options, or attach a screenshot?</em>

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2 years ago

Bilal's fishing line was on a spool with a radius of 4 \text{ cm}4 cm4, start text, space, c, m, end text. Suddenly, a fish pull

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Answer:

The distance the fish pulled the fishing line is <u>401.92 cm.</u>

Step-by-step explanation:

Given:

Radius of fishing spool = 4 cm.

Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.

Now, to find the distance the fish pulled the fishing line.

So, to get the circumference of the spool first we put formula:

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<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>

Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

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Therefore, the distance the fish pulled the fishing line is 401.92 cm.

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2 years ago