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4 years ago

Simplify the expression.

Mathematics

2 answers:

igor_vitrenko [27]4 years ago

6 0

<u>Answer:</u>

The correct answer option is D. 42.

<u>Step-by-step explanation:</u>

We are given the following expression which we are to simplify:

$-12$ × $4$ × $\frac {3}{8} - (-60)$

Solving the given expression using the order of operations to solve a mathematical expression starting from brackets, of, division, multiplication, addition and then subtraction.

$-48$ × $\frac {3}{8} - (-60)$

$-18-(-60)$

$-18+60$

$42$

lilavasa [31]4 years ago

5 0

Answer:

D. 42

Step-by-step explanation:

-12 x 4 x 3/8 - (-60)

PEMDAS says multiply and divide first since we have no parentheses or exponents

-48 x 3/8 - (-60)

-144/8 - (-60)

-18 - (-60)

A negative negative is a positive

-18+60

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How do write 31,540,000,000 in scientific notation?

Kaylis [27]

31540000 in scientific notation is 3.154 x 107

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3 years ago

The radius of a circle is decreasing at a rate of 6.56.56, point, 5 meters per minute. At a certain instant, the radius is 12121

Ilia_Sergeevich [38]

Answer:

The rate of change of the area of the circle is approximately $-490.09 \ m^2/min$ .

Step-by-step explanation:

Given:

$\frac{dr}{dt} = -6.5 \ m/min$

radius $r =12 \ m$

We need to find the rate of change of the area of the circle at that instant.

Solution:

Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

$A= \pi r^2$

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

$\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}$

Substituting the given values we get;

$\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min$

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3 years ago

Find the cost of a $19,500 car plus a 6% sales tax

Scrat [10]

There are 2 ways to do this...

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or

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3 years ago

8+(3+4) rewrite using the associative property

Goshia [24]

The Associative Property allows you to "regroup" addition and multiplication problems. You can group this problem in two other ways,
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4 years ago

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Write the following equation, then solve. The difference of four times a number, x and 12 is 28

Alona [7]

Answer:

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4x - 12 + 12 = 28 + 12

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Now we divide 4 from both sides:

x = 40 / 4

so x = 10

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4 years ago

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