A sixth grader weighs 90 pounds, which is 120% of what he weighed in fourth grade. How much did he weigh in fourth grade?

Answers

Answer 1
Answer:

The weight in fourth grade was 75 pounds.

What is percentage?

A percentage is a value that indicates hundredth part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The present weight of the sixth grader is 90 pounds,

And, the percentage of present weight with respect to fourth grade is 120%.

Suppose his weight in fourth grade was x pounds.

Now,  the given problem can be written in the form of expression as below,

120% of x = 90

⇒ (120 / 100) × x = 90

⇒ x =  90 × (100 / 120)

⇒ x =  90 × (5 / 6)

⇒ x = 75

Hence, the weight of the sixth grader in fourth grade was 75 pounds.

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Answer 2
Answer: We have an equation: 90/? = 120/100

Cross multiply:
120*? = 90*100
⇒ ? = 90*100/120 = 75.

He weighed 75 pounds in fourth grade~

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Audrey drove 200 miles in 3.5 hours. Which equation can be used to find the rate "r" at which Audrey was traveling? (A) 200=3.5r (B) 200x3.5=r (C) r/3.5=200 (D) 200r=3.5

Harry has a life insurance policy that will pay his family $42,000 per year if hedies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
A. $1 million
B. $350,000
c. $3.5 million
D. $1.68 million​

Answers

The insurance company must put $1.68 million into a bank account.

What is insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

We have, P= $42, 000

R= 2.5%

Using  Simple interest,

SI = PRT / 100

Here, the interest is 42000 then

42000 = 2.5P/100

4200000 = 2.5 P

P = 4200000/ 2.5

P = 1,680,000

Hence, the insurance company must put $1.68 million into a bank account.

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Answer: $1.68 million

Step-by-step explanation:

Name a 4 sided shape with rotational symmetry of order 4​

Answers

Answer: a square because it is four sided and doesn’t matter how long you rotate it

Answer:

rhombus

Step-by-step explanation:

Which is f(-3) for quadratic function graphed

Answers

At f(-3) the graph is equal to -9.

In order to find the point on the graph, move over to -3 on the x axis. Then move down to find the point where it hits the parabola. You'll see that the parabola hits at point (-3, -9).

Find a number that is not a solution to 3x-1>8 or 7-x>3

Answers

Answer:

All of the numbers are solutions.

Step-by-step explanation:

Step 1:  Solve for x in the first equation

3x - 1 + 1 > 8 + 1

3x / 3 > 9 / 3

x > 3

Step 2:  Solve for x in the second equation

7 - x - 7 > 3 - 7

-x / -1 > -4 / -1

Since you divided by a negative, you must flip the sign.

x < 4

Step 3:  Find the number

x > 3 and x < 4

Answer: All of the numbers are solutions.

Read this scenario applying to the Bill of Rights.In July 1793 three soldiers came to Mrs. Hudson's farm. They accused her of harboring escaped slaves, and burst into her house. After looking through her things, they went into the corral. There, they took two of her horses. You can have them back when you prove your innocence. one of the soldiers told her. Then they left.
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Which amendment from the Bill of Rights can Mrs. Hudson claim was violated by the soldiers' actions?

The Second Amendment, which safeguards Americans' right to bear arms
The Third Amendment, which safeguards Americans' right against the quartering of troops
The Fourth Amendment, which safeguards Americans' right against illegal search and seizure
The Fifth Amendment, which safeguards Americans' rights of the accused

Answers

the fourth ammendment

Answer:

The fourth Amendment

Step-by-step explanation:

If they thought she had slaves, they have the right to look around and search, since it may/ may not be algal.

Hope this helped!

Compare and contrast the Pythagorean theorem, a circle, and the distance formula

Answers

Answer:

The distance formula is a formalization of the Pythagorean Theorem using x and y coordinates. In other words, they are the same thing in two seemingly different contexts. Every point (x,y) on the circle is related to the circle's center (a,b) by the fact that the distance between the point and the center is a constant (the radius of the circle, r).  Equation of a circle is exactly the Pythagorean theorem with specific values plugged in.

Step-by-step explanation: