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3 years ago

8

How did you compute sums of dollar amounts that were not whole numbers? For example, how did you compute the sum of$5.89 and$1.4

5? Use this example to explain your strategy. 2.

2 answers:

matrenka [14]3 years ago

6 0

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

nignag [31]3 years ago

4 0

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

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What is 2x times x squared?

tresset_1 [31]

We want to multiply the monomial $2x$ by the monomial $2x^2$ .

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: $(a^m)(a^n)=a^{m+n}$ , $(x^2)(x^4)=x^{2+4}=x^6$ . Also, is worth pointing out that the exponent of a variable with no exponent is 1: $x=x^1$ .

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so $x=1x$ . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

$(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3$

We can conclude that 2x times x squared is 2x cubed.

3 0

4 years ago

Read 2 more answers

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

$\therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units$

6 0

4 years ago

Pls help me with #7!! i don’t understand

GREYUIT [131]

The correct answer is b lave flows from a volcano and piles up

4 0

3 years ago

A city has a population of 250,000 people. Suppose that each year the population grows by 6%. What will the population be after

irinina [24]

Answer:

503,049

Step-by-step explanation:

250,000 × 1.06^12 is the formula.

You take the percentage which is 6% and you add 1 to it.

So, you get 1.06

Then you take the 1.06 and raise it to the number of years which is 12.

1.06^12

Then you multiply that number to the base number which is 250,000 and get 503,049.

Hope this helps!

5 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago