200 reduced by 2 times my age equals 16

Answers

Answer 1

Answer: Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...

200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16

200 - 2x = 16

Now let's solve for x to find "my age"

First subtract 200 from each side to begin to isolate x

-2x = -184

Divide each side by -2 to isolate x

x = -184/-2
x = 92

I'm 92 years old!

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[(-8)-{(-14)/(-7)}^3]x(-3)+(-3)-34

Answers

Answer:

Step-by-step explanation:

The given expression is as following:

$((-8) - ((-14)/(-7) )^3)*(-3)+(-3)-34$

According to PEMDAS

calculate the process at the Parentheses first then the exponent.

So,

= $((-8) - (2 )^3)*(-3)+(-3)-34\n= ((-8) - 8)*(-3)+(-3)-34\n=(-16)*(-3)+(-3)-34\n=48+(-3)-34\n=48-3-34\n=11$

A machine can print 300 T-shirts in 10 minutes. How many T-shirts Can the machine print in 1 minute

Answers

The machine can print 10 shirt per minute. just divide 300 by 10.

Rewrite 9(10 x) in distributive property

Answers

9(10+x)

To apply the distributive property, we need to multiply the number out of the parenthesis by each number inside.

9*10 = 90
9*x = 9x

9x + 90

Final answer: 9x + 90

9(10x)
= 9*10x
Explanation- you have to distribute the number outside the parenthesis with the numbers inside.

Tina is making rectangular signs. Each poster has an area of 1800 square inches and the length is 30 inches more than the width. Find the length and width of her sign. If x represents the width of each sign, select all of the equations that could be used to solve this problem. 2(x)+2(x+30)=1800 (x+30)(x)=1800 x(30x)=1800 x(x+30)=1800 Part 2 Find the dimensions of each rectangular sign. width = inches length = inches

Answers

Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

$30x + x^(2) =1800 \n x^(2) +30x-1800=0 \n x^(2) -30x+60x-1800=0 \n ( x^(2) -30x)+(60x-1800)=0 \n x(x-30)+60(x-30)=0 \n (x+60)(x-30)=0$
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.

Mrs. Stephens drove through a total of 36 intersections on her way home. At 4 of every 16 intersections, she had to stop for a red light before she could drive through. At how many intersections did she have to stop for a red light?Pls Show Your Work

Answers

total intersections=36
since out of every 16 intersections, 4 had a red light. this means out of 36, 8 had red lights. So, she had to stop at 8 intersections.

mutiply 4 and 16 to get 60 then subtract 36 and 60

A dairy farm has 9 pastures and 630 cows. The same number of cows are placed in each pasture. How many cows are in each pasture?

Answers

Answer=70

9 pastures 630cows

630cows/9pastures=70 cows per pasture

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