MATHEMATICS HIGH SCHOOL

Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?A. $3.96
B.$3.80
C.$0.40
D.$5.40

Answers

Answer 1
Answer:

Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

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Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour?

During cooking, chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken, how many grams of uncooked chicken must be used?

Answers

Answer:

117 grams

Step-by-step explanation:

So this is a oddly phrased question but I believe I understand it. You need to find 10 percent of 1170 grams and that it 117. And for you information I did use calculator to prevent error so don't worry about that.

32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ6

80

Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

\boxed{ \ 32 = 40 \% * N \ }

Which can be rewritten to be

\boxed{ \ 40 \% * N = 32 \ }

All we have to do to get the N value is a division operation.

\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }

\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }

\boxed{ \ 40 \% * N = 32 \ }

\boxed{ \ N = 32 / 40 \% \ }

Recall that \boxed{ \ 40 \% = (40)/(100) \ }

\boxed{ \ N = 32 / (40)/(100) \ } ... Equation-1

Recall that \boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }

\boxed{ \ N = 32 * (100)/(40) \ } ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

\boxed{ \ N = 32 * (10)/(4) \ }

32 is crossed out with 4, in other words dividing each other.

\boxed{ \ N = 8 * 10 \ }

Thus, the result is\boxed{\boxed{ \ N = 80 \ }}

Alternative-1:

Recall that \boxed{ \ (40)/(100) = 0.40 = 0.4 \ }

From Equation-1 above, we rearrange it into

\boxed{ \ N = (32)/(0.4) \ }

Both the numerator and denominator are multiplied by 10.

\boxed{ \ N = (320)/(4) \ }

Thus, the result is\boxed{\boxed{ \ N = 80 \ }}

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

\boxed{ \ N = 32 * (5)/(2) \ }

32 is crossed out with 2, in other words dividing each other.

\boxed{ \ N = 16 * 5 \ }

Thus, the result is\boxed{\boxed{ \ N = 80 \ }}

Alternative-3:

\boxed{ \ 40 \% * N = 32 \ }

Both sides are multiplied by \boxed{ \ (100)/(40) \ }

\boxed{ \ N = 32 * (100)/(40) \ }

\boxed{ \ N = 32 * (10)/(4) \ }

\boxed{ \ N = 32 * (5)/(2) \ }

\boxed{ \ N = 16 * 5 \ }

Thus, the result is\boxed{\boxed{ \ N = 80 \ }}

Learn more

  1. 100 is ¹/₁₀ of what? brainly.com/question/96535
  2. 4 times as much as 3 is brainly.com/question/573729
  3. 68.32 divided by 2.8 is divisible  brainly.com/question/5022643#

Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

In the following diagram, points C, A, and B are collinear. Use complete sentences to describe the sum of and .

Answers

Answer:

The sum is CB.

Step-by-step explanation:

This is because of points C, A, and B are all collinear, which means that they all fall on the same line. Since the points are collinear, the sum of CA and AB is the whole line, which is CB.  I really hope this helps :)
The sum of angles CAD and DAB is 180 degrees. This is because they are all on a straight line (because points CAB are colinear) and angles on a straight line add up to 180 degrees.

Which set of numbers can represent the lengths of the sides of a right triangle? Round to the nearest whole number. 4, 4, 4 4, 6.93, 8 11.2, 16.2, 19.2

Answers

Answer with explanation:

A set of numbers that is triplet is said to form the sides of a right triangle, if it satisfies Pythagorean Theorem,which states that

Square of longest side is equal to sum of Squares of other two sides.

1.First triplet=4,4,4

As, 4²≠4²+4²

Hence it does not form Pythagorean triplet.

2. Second triplet=4, 6.93, 8

Largest side length =8

8²=64

Sum of squares of two smaller sides =(6.93)²+4²

 =48.0249+16

=64.0249

=64

3. Third triplet=11.2, 16.2, 19.2

Largest side length =19.2

(19.2)²=368.64

Sum of squares of two smaller sides =(11.2)²+(16.2)²

 =125.44+262.44

 =387.88

=388(approx)

Option B ⇒4,6.93, 8
Hello,

A: 4 , 4 , 4 not right triangle

B: 4 , 6.93 , 8  or 4²+6.93²=64,0249 ≈64=8²

C: 11.2 , 16.2 , 19.2 or 11.2²+16.2²=387,88 =(19,69...)²

The best choice is B

P(A) = 0.44 What are the odds for A?

Answers

P(A)=0.44=(44)/(100)=(11)/(25)\n\n11\ odds\ on\ 25
0,44 = 44 / 100

44 odds on 100

Joe drives 20 mi-in 1/2 h. how Long Will it take him to derive 50 mi?

Answers

An hour and 15 minutes.  Since Joe is driving 20 miles per 1/2 hour that means he is driving 40 miles every hour. We still have 10 miles left and since 20 divided by 2 is ten you would simply cut the time it takes him to drive 20 miles in half making 15 minutes. Then you add the time it takes to drive 40 miles and 10 miles and that's how you get an hour and 15 minutes. Hope this made sense!
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