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3 years ago

What is the answer to this 10+4(2+20)

Mathematics

2 answers:

Bogdan [553]3 years ago

7 0

Answer:

Step-by-step explanation:

PEMDAS: Parenthesis, Exponents, Multiply, Divide, Add, Subtract, if tied, go left to right.

Elementary Algebra rhyme you should consider a requirement to remember because it's the base of a vast majority of problem's you'll encounter.

10+4(2+20)

10+4(22). . .distribute the 4 into the parenthesis aka multiply 22*4

10+88 = 98

AfilCa [17]3 years ago

6 0

Answer:

$\Huge \boxed{98}$

Step-by-step explanation:

To solve this problem, first you have to use order of operations stands for parenthesis, exponents, multiply, divide, add, & subtract the numbers from left to right.

<h2>Please Excuse My Dear Aunt Sally!</h2>

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

First, parenthesis.

$\displaystyle (2+20)=22$

$\displaystyle 10+4*22$

Next, multiply numbers from left to right.

$\displaystyle 4*22=88$

Then, add numbers from left to right.

$\displaystyle 10+88=\boxed{98}$

Therefore, the correct answer is 98.

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3 years ago

A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

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Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

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y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

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Thus;

Coordinate of the new library is (150, 70)

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3 years ago

A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?

shtirl [24]

<h3>Answer: C) 13 gallons</h3>

============================================================

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

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