Mathematics Middle School

My mom doesn't understand this question:
[tex]7\frac{1}{5} - 5\frac{1}{4}[/tex]
Please solve this equation step by step and explain, preferably with multiple methods. I tried explaining it to her but she still doesn't get it.
Thanks!

Answers

Answer 1
step 1: make the fractions improper fractions (36/5) - (21/4)

step 2: find the common denominator between 5 and 4 (20)

step 3: cross multiply them 36/5 x 4 which is going to make the fraction 144/20

step 4: do the same for the other side 21/4 x 5 105/5

step 5: now replace the old fractions with the new ones, 144/20 - 105/20

the answer should be 39/20

simplify to 1 19/20
Answer 2

The solution of the given expression is-

[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]

We must first transform mixed fractions into improper fractions before we can subtract them.

Let's transform  [tex]7\frac{1}{5}[/tex]  it into an improper fraction :

[tex]7 \frac{1}{5} = \frac{(7 * 5 + 1)}{5} = \frac{36}{5}[/tex]

Let's change [tex]5\frac{1}{4}[/tex]  into an improper fraction now:

[tex]5\frac{1}{4} = \frac{(5 * 4 + 1)}{4} = \frac{21}{4}[/tex]

We can now subtract the fractions:

To subtract fractions, we need to find a common denominator. The least common multiple or the LCM of 5 and 4 is 20.

Converting the fractions to have a common denominator of 20:

(36/5) * (4/4) = 144/20

(21/4) * (5/5) = 105/20

So the subtraction will be as follows:

[tex]\frac{36}{5} -\frac{21}{4} =\frac{(36*4)+(21*5)}{4*5} =\frac{144-105}{20}=\frac{39}{20}[/tex]

Therefore, [tex]7\frac{1}{5} -5\frac{1}{4}[/tex] is equal to  [tex]\frac{39}{20}[/tex] or,  [tex]1\frac{19}{20}[/tex] .

The solution of the given expression is-

[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]

To know more about mixed fractions, improper fractions,

https://brainly.com/question/28957298

Related Questions

Find the x- and y- intercepts of this two-variable equation:

y = 5 + x

Answers

To find the x-intercept, we set y = 0 and solve for x:

0 = 5 + x

Subtracting 5 from both sides:

x = -5

Therefore, the x-intercept is -5.

To find the y-intercept, we set x = 0 and solve for y:

y = 5 + 0

Simplifying:

y = 5

Therefore, the y-intercept is 5.

The x-intercept is (-5, 0).

The y-intercept is (0, 5).

Answer:

x: -5,0
y: 0,5

Step-by-step explanation:

y=0

0=5+x

x=-5

x=0

y=5+0

y=5

Surface Area
Part A
What is the area of each face of cube A?
Part B
How can you calculate the surface area of cube A? What is the surface area of cube A?
Part C
What is the area of each face of cube B?
Part D
How is the area of each face of cube B related to the area of each face of cube A?
Part E
What is the surface area of cube B?

Answers

Part A: The area of each face of cube A is equal since all faces of a cube are identical. Therefore, the area of each face of cube A is given by the formula A = s^2, where s is the length of any side of the cube.
Part B: To calculate the surface area of cube A, we need to find the area of all six faces and add them together. Since all faces of a cube are identical, we can use the formula A = s^2 to find the area of one face and then multiply it by 6 to get the total surface area. Therefore, the surface area of cube A is given by the formula SA = 6s^2.
Part C: The area of each face of cube B is also equal since all faces of a cube are identical. Therefore, the area of each face of cube B is given by the formula A = s^2, where s is the length of any side of the cube.
Part D: The area of each face of cube B is related to the area of each face of cube A because both cubes have the same shape and size. Therefore, the area of each face of cube B is equal to the area of each face of cube A.
Part E: The surface area of cube B can be calculated using the same formula as cube A, which is SA = 6s^2, where s is the length of any side of the cube. Since cube B has the same shape and size as cube A, the surface area of cube B is also equal to 6 times the area of one face, which is given by the formula A = s^2. Therefore, the surface area of cube B is also equal to SA = 6s^2.
Part A:
Each face of cube A has the same area since it's a cube. To find the area of each face, you can use the formula for the area of a square: side length squared.

Part B:
To calculate the surface area of cube A, you can multiply the area of one face by the number of faces. Since a cube has 6 faces, the surface area of cube A is 6 times the area of one face.

Part C:
Cube B is also a cube, so each face has the same area as the faces of cube A.

Part D:
The area of each face of cube B is equal to the area of each face of cube A since they are both cubes.

Part E:
The surface area of cube B is also 6 times the area of one face, just like cube A.

Let me know if you have any more questions!

This is the question that I am struggling on right now. If you could help me as soon as possible, that would be great. Thank You!

Answers

Answer:

1) cos function (it looks just like one)

2) yint is (0,1) or y=1

3) Smallest xint is (-2π,0)

4) greatest y value is y=1 and thats when x=0

5) Not sure what the last one is asking

The answer is a/7 times 3.14359

4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?

Answers

So your going to do a triple triple into a double and do it again until u get to 4.4382947 so that adds up to get xvdj which also means 718798&.! This is easy if u don’t get it ur zesty and ur mom has to nothing
4 because 8% divided by 2% =4

Compare square root of one hundred sixty and one hundred fifteen ninths using <, >, or =.

square root of one hundred sixty is greater than one hundred fifteen ninths
square root of one hundred sixty is equal to one hundred fifteen ninths
one hundred fifteen ninths is greater than square root of one hundred sixty
one hundred fifteen ninths is less than square root of one hundred sixty

Answers

The comparison of the numbers are √160 > √115.9. Hence, the correct option is A.

How to compare the numbers?

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.9

By comparing the radical of both numbers, we have

160 and 115.9

160 is greater than 115.9

Hence, the comparison of the numbers are √160 > √115.9

Read more about inequalities at:

https://brainly.com/question/30231017

a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a

Identify the property:

4(0.25) = 1

Answers

Answer:

Symmetric property

Step-by-step explanation:

The symmetric property states that if a = b, then b = a. In other words, if one side of an equation is equal to the other side, then the two sides are interchangeable. This is symbolized by the following equation: a = b if and only if b = a. The symmetric property is used to solve equations with two variables.

Answer:

The answer is Symmetric Property.

I will give Brainliest. Please answer ASAP

Answers

Answer:

-by-step explanation:

It should be 32.56 mg hope this answers your question

Answer: 0.063 in milligrams

I will give Brainliest if answer is correct - Please answer ASAP

Answers

Answer:

0.063 mg

Step-by-step explanation:

1 gram equals to 1000 milligrams

so we converte the answer to milligrams

6.3 x 10^-5 equals to 0.000063

So we converte

1 gram 1000 mg

0.000063g =

0.000063 X 1000 = 0.63 mg

answer is 0.063 mg

0.063 is the answer hopefully this helped

Which statement compares the fractions three fourths and four twelfths correctly?
A. three fourths < four twelfths
B. three fourths = four twelfths
C. four twelfths > three fourths
D. three fourths > four twelfths

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]   [tex]\frac{4}{12}[/tex]  To compare you can use a common denominator.  In this case, that would be 12

[tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{9}{12}[/tex]  Now we can compare

[tex]\frac{9}{12}[/tex] > [tex]\frac{4}{12}[/tex] so,

[tex]\frac{3}{4}[/tex] > [tex]\frac{4}{12}[/tex]

Helping in the name of Jesus.

d d de d d d d d d d d d d d d d d d d d d d d d de

Kelly started with 2 pennies in her penny jar. She puts 2 more pennies in her penny jar every day. How many pennies will she have on Day 10

Answers

Answer:

Starting with 2 pennies, Kelly adds 2 more pennies to her penny jar every day. To find out how many pennies she will have on Day 10, we can calculate the total number of pennies accumulated.

On Day 1, she has 2 pennies.

On Day 2, she adds 2 more pennies, bringing the total to 2 + 2 = 4 pennies.

On Day 3, she adds 2 more pennies, bringing the total to 4 + 2 = 6 pennies.

This pattern continues, with 2 additional pennies added each day.

We can summarize the pattern as follows:

Day 1: 2 pennies

Day 2: 4 pennies

Day 3: 6 pennies

Day 4: 8 pennies

Day 5: 10 pennies

Day 6: 12 pennies

Day 7: 14 pennies

Day 8: 16 pennies

Day 9: 18 pennies

Day 10: 20 pennies

Therefore, on Day 10, Kelly will have a total of 20 pennies in her penny jar.

To find out how many pennies Kelly will have on Day 10, we can use the information given in the question. Kelly starts with 2 pennies and puts 2 more pennies in her penny jar every day. So, on Day 1, she will have 2 + 2 = 4 pennies. On Day 2, she will have 4 + 2 = 6 pennies. We can continue this pattern to find out how many pennies she will have on Day 10:
Day 1: 2 + 2 = 4 pennies
Day 2: 4 + 2 = 6 pennies
Day 3: 6 + 2 = 8 pennies
Day 4: 8 + 2 = 10 pennies
Day 5: 10 + 2 = 12 pennies
Day 6: 12 + 2 = 14 pennies
Day 7: 14 + 2 = 16 pennies
Day 8: 16 + 2 = 18 pennies
Day 9: 18 + 2 = 20 pennies
Day 10: 20 + 2 = 22 pennies
Therefore, Kelly will have 22 pennies on Day 10.
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