MATHEMATICS MIDDLE SCHOOL

HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy which contains 40% iron. which percent of the resulting alloy is iron?A)12%

B)20%

C)35%

D)55%

Answers

Answer 1
Answer:

Answer:

35 percent

Step-by-step explanation:

To solve this problem we multiply the amount by the percent and add them up to get the total amount times the percent

amount * percent + amount * percent = total amount * percent

4  * .20 + 12  * .40 = (4+12) * x

.8 + 4.8 = 16 x

Combine like terms

5.6 = 16x

Divide by 16

5.6/16 = 16x/16

.35 =x

35 percent

Related Questions

The histogram below shows the number of hoagie sandwiches students in Carson's class sold for their fundraiser. Use the histogram to match each conclusion with its value. Round to the nearest whole number if necessary.Term1.percent of the class that sold less than twenty hoagies2.greatest number of hoagies that could have been sold by one student3.total number of students in Carson's class4.more than half of the students sold at least this number of hoagiesDefinitionA) 22B) 49C) 20D) 32
Jenny filled 12 pitchers with equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How many liters of lemonade would be in 7 pitchers
Find each sum.Simplify if possible
How are you?(￣ω￣;)（＾～＾）
What is 9/8 in simplest from

How can you find a unit rate when given a rate?

Answers

You can find the unit rate when given a rate by setting up a proportion of the rate equal to how many per one.

40 miles per 2 hours = 20 miles per one hour.

20 miles/hour is a unit rate.   (How many per one?)

A calculator is tightly wrapped in protective padding. It is sold in a box that is 14.5 cm wide,24.0 cm long, and 6.0 cm high. The calculator itself is 8.5 cm wide, 18 cm long, and 2.5 cm high. What is the volume of the padding?

Answers

volume of padding = volume of box - volume of calculator
                              =  (14.5 x 24 x 6)  -  (8.5 x 18 x 2.5)
answer = 1705.50 cm^3

How far away from the tree is the girl ? A. 30 feet
B. 70 feet
C. 20 feet
D. 50 feet

Answers

Answer:

The correct option is C. 50 feet.

Therefore the girl is 50 feet away from the tree.

Step-by-step explanation:

Consider a Right angle Triangle

Elevation to the tree is ' θ '

Adjacent Side to θ = distance from the tree to girl = distance

Opposite Side to θ = height of the tree = height

\tan \theta =(20)/(50)

To Find:

distance from the tree to girl = distance

Solution:

In Right angle Triangle Tangent Identity

\tan \theta = \frac{\textrm{side opposite to angle theta}}{\textrm{side adjacent to angle theta}}

Substituting we get

\tan \theta = \frac{\textrm{height of the tree}}{\textrm{distance from the tree to girl}}

\tan \theta = (height)/(distance)

\tan \theta =(20)/(50) ........Given

Comparing the given equation with the above we get

distance =50\ feet

Therefore the girl is 50 feet away from the tree.

What is the LCD of 1/3 and 3/4 ?

Answers

The least common denominator (LCD) of the fractions 1/3 and 3/4, which is a common multiple of their denominators is: 12.

Recall:

  • LCD stands for "least common denominator" or "lowest common denominator".
  • LCD is the smallest multiple that is common among the denominators of a set of fractions.

Given two fractions, 1/3 and 3/4:

Their denominators are 3 and 4.

The common multiple between 3 and 4 is 12.

Therefore, the least common denominator (LCD) of the fractions 1/3 and 3/4, which is a common multiple of their denominators is: 12.

Learn more here:

brainly.com/question/10600831
♥For (3, 4) (denominators) the least common multiple is 12.
(least common multiple means LCM)

♥Therefore, the least common denominator  is 12.

♥Rewriting as equivalent fractions with the LCD:
4/12, 9/12
♥Hope this helps!♥

How do you get an odd perimeter for a rectangle? If you can, how oils you get a length and a width?

Answers

An odd perimeter can only happen if either the length or the width is a fraction with 1/2 in it, or both the length and the width have a 1/4 in it.
The length and the width are found using the regular means, but you will have to worry about fractions involved, so it can get kind of messy

Toni Mahoney is using Biscuit Betty's recipe that requires 5 1/3 pounds of flour to make biscuits for her brunch. Suddenly, Toni learns that 4 times as many people are coming to her bunch than originally planned. How much flour will Toni need to make her biscuits? Explain how tou got your answer.

Answers

21 1/3 pounds of flour. We know it takes 5 1/3 pounds of flour for one brunch. So, if there are 4 times as many people, we have to multiply 5 1/3 by 4. After you do 5 1/3 times 4 you will get 21 1/3 pounds of flour.
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