What is the difference of the fractions? Use the number line to help find the answer.
LE
13
54
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1
16
18
120
14
120
to
다.
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0
11
10
10
20 20
20 20 2020
x
20
0
Answers
Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
Determining the difference of the fractions
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.
[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{4-15}{20}[/tex]
Add the number: 4-15 = -11
[tex]=\frac{-11}{20}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{20}[/tex]
Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.
Therefore, option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Related Questions
Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Answers
Answer:
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Step-by-step explanation:
Which real-world story is represented by the problem (-15.85) + 26.58?
Comparing the options given below,
The correct option is
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
This is because, buy a hat that cost $15.85 = -15.85
He has a balance is $26.58 on his credit card.
Hence: $26.58 - $15.85
Hence, option D is correct
Answer:
B & D
Step-by-step explanation:
seven less than eight times a number is -12
Answers
Answer:
19/8
Step-by-step explanation:
8x-7=-12
8x=19
x=19/8
Answer:
8-7n=-12
Step-by-step explanation:
The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100
Answers
The side of the square is [tex]x^5[/tex].
Area of squarearea of a square = (side)² = a²,
Exponent properties[tex](a^m)^n = a^{m+n}[/tex][tex](\sqrt a)^n = a^{(-2+n)}[/tex]Given to usarea of a square = [tex]x^{10}[/tex]
Side of the SquareEquating it with the general formula of square
[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]
[tex]x^{10} = a^2[/tex]
Taking square root on both sides,
[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]
[tex]a = x^5[/tex]
Hence, the side of the square is [tex]x^5[/tex].
Learn more about the Area of square:
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The monomial which represents a side of the square is; x⁵
Area of a square
The area of a square is a 2-dimensional quantity and can be evaluated by the formula;
Area = l².Hence, the length of the sides of the square is;
l = √A.According to the question, the given area is x¹⁰.
Therefore, the length of each side is;
l = √x¹⁰ = (x¹⁰)^1/2l = x⁵.Read more on area of a square;
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Find the area of the square ABCD
Answers
Step-by-step explanation:
Area of Square ABCD = 10m * 10m = 100m².
Answer:
Area of Square ABCD = 10m * 10m = 100m².
Step-by-step explanation:
Hope this helped have an amazing day!
Which of the following are types of variations?
Direct
Inverse
Variable
Combined
Joint
Answers
Step-by-step explanation:
There are many different types of variations as follows:
1) Direct variations in which the relationship between two different variables is direct.
2) Inverse variations in which the relationship between two different variables is opposite.
3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.
4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.
option 'A', 'B', 'D' , 'E' are correct.
What is the area of the trapezoid?
Answers
Answer:
A=30
Step-by-step explanation:
A=a+b
------- x h
2
3+7
------- x 6
2
10/2=5
5 x 6 = 30
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answers
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answers
Answer: 4.86%
Step-by-step explanation:
The Capital Asset Pricing Model can be used;
Return = Risk free rate + beta * ( market return - risk free rate)
10.5% = Rf + 1.55 * (8.5% - Rf)
10.5% = Rf + 0.13175 - 1.55Rf
10.5% - 0.13175 = -0.55Rf
-0.02675 = -0.55Rf
Rf = -0.02675/-0.55
= 0.0486
= 4.86%
A line with a negative slope is perpendicular to one of the lines shown. What is its slope? Use the graph shown below. The Slope is:
Answers
Answer:
The slope for the red line is decreasing and hence the slope must be negative. -1x or simply -xThe slope of the blue line is increasing and hence positive: 1/2xThe solution to the equation is the intercept (2,3) Rate positively and give brainlistPLEASE HELP ME!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
{ x | x > 9 }
Two trains leave the station at the same time, one traveling due east, the other due west. After 46 minutes, they are 140 miles apart. If one train's speed is 20 mph more than the other train's, what are the speeds of the two trains.
Answers
Train A speed = x + 20
Train B = x
We know that 46 minutes is 23/30 of an hour.
Use D = rt
Take it from here.
Find the least whole number N so that 2020 + N is exactly divisible by 11.
Answers
2020 + N ≡ 0 (mod 11)
N ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
N ≡ -(183 • 11 + 7) (mod 11)
N ≡ -7 (mod 11)
N ≡ 4 (mod 11)
[tex]N=4[/tex]
Step-by-step explanation:
Given :
Whole Number = N
Number = 2020 + N
Solution :
Now through observtion,
[tex]\dfrac{2020+N}{11}=184[/tex] ----- (1)
We took 184 because when we multiply 184 by 11 we get the nearest number to 2020
So from equation (1),
[tex]N=2024-2020[/tex]
[tex]N=4[/tex]
For more information, refer the link given below
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Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increased.
Answers
Answer:
B: 90
d: 86
e: 92
Step-by-step explanation:
edg2020
An architect created a scale model of what a college campus will look like once construction is finished. The scale for the model is 2 in. : 25 ft. The tallest building in the model is 10 intall. How tall is the actual building?
Answers
Answer: 125ft
Step-by-step explanation:
In the model, we have the relation:
2in = 25ft
This means that 2 inches in the model represent 25ft for the actual college campus.
Then, if the building is 10 inches tall in the model, we have:
How many groups of 2 inches we have in 10 inches?
10in/2in = 5
And we know that each one of these 2 inches represent 25ft, then 5 of them are 5 times 25 ft:
The height of the building is 5*25ft = 125ft
A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk chocolates are there in the box?
Answers
Answer:
The box contains 20 milk chocolates.
Step-by-step explanation:
Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:
50 / (2 + 3)
50/5
10
Milk chocolates: 2 x 10 = 20
Dark chocolates: 3 x 10 = 30
Therefore, the box contains 20 milk chocolates.
Select all the correct answers.
Which sequences of transformations performed on shape I show its congruency to shape II?
a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units right
a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Answers
Answer:
A.a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
and
C. a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Step-by-step explanation:
Can someone help? I’m not the best at algebra
Answers
8/3
also use math_way its helpful
without the "_"
Step-by-step explanation:
Answer:
D- 4/3
I already knew the answer, but I found this explanation on another website..
x^3=64/27
x = 3√(64/27)
x= 4/3
Have a nice day :D
Also, may I have Brainliest if someone else answers??
Mr Gutierrez and his brother wants to play video games they want to purchase a game console that costs 300 4 games and 2 controllers write an expression to represent this situation
Answers
Answer:
The correct expression for this would be:
4g + 2c = 300
Step-by-step explanation:
Since the console costs 300 for buying 4 games and 2 controllers, let's represent 4 games with 4g and 2 controllers with 2c.
This means 4g and 2c gives 300. Mathematical, this is written as
4g + 2c = 300
I need help ASAP
Plzs
Answers
How does 6 relate to 12?, this is 6×2=12 this makes that 4×2=x. (8) (x=8)
Answer
8
Step-by-step explanation:
6/4 times 12/x. cross mutliply to get 8
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answers
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
To know more about Triangle
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if you were given the following statements write your conclusion
if you are given :
Answers
Step-by-step explanation:
This means that Angle EBA = Angle EBC.
Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression.
Answers
Answer:
No, George does not have enough money to buy everything.
The correct expression is:
15 - 9 - 2.65 - 1.35 - 2(1.74)
Step-by-step explanation:
Given that:
Money present with George initially = $15
Money required to see the movie = $9
Money required to buy a pretzel = $2.65
Money required to buy a drink = $1.35
Money required to buy 2 veggie cups = $2(1.74)
To find:
Whether there is enough money with George to complete all the tasks.
Solution:
First of all, let us calculate all the money required and then we can subtract all the money from the initial amount to find whether there is enough money present with George.
If the result is in positive, there is enough money with George.
Total money required for all the activities = $9 + $2.65 + $1.35 + $2(1.74) = $16.48
Expression = $15 - $16.48 = -$1.48
The result is negative, therefore there is not enough money.
The correct expression is:
15 - 9 - 2.65 - 1.35 - 2(1.74)
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answers
Answer:
Answer:
Step-by-step explanation:
Given expression,
30% of 60,
We know that,
Convert percentage to fraction :
Thus,
So, 30% of 60 =
Which is the required expression.
Step-by-step explanation:
Answer:
30÷100 ×60
18 , ;; , ,,,,,,,,,
Christian had $80.45 in his bank account on Monday.He deposited $20.50 on Tuesday.He then withdrew 37.25 on Wednesday.How much did Christian have left in his account on Thursday?
Answers
Answer:
138.2
Step-by-step explanation:
Answer:
For thursday he had 63.70 $
Step-by-step explanation:
80.45 + 20.50 - 37.25
63.70
Write the equation in slope-intercept form. Do not use any spaces. Make sure your answer looks like y=mx+b. Y + 6 = 3(x - 4) *
Answers
Answer:
y = 3x+ 18
Step-by-step explanation:
Given the expression y + 6 = 3(x-4), we are to express in the form y = mx+b
Open the bracket
y + 6 = 3(x-4)
y+6 = 3x-12
Collect the like terms;
y - 3x = -12 - 6
y - 3x = 18
y = 3x + 18
Hence the required equation in slope-intercept form is y = 3x+ 18
U is the midpoint of TV. TU = x2 + 2x – 2. UV = -x + 8. Find the
positive value of x.
Answers
Answer:
x = 2
Step-by-step explanation:
It is given that,
U is the midpoint of TV.
TU = x² + 2x – 2
UV = -x+8
We need to find a positive value of x.
For midpoint,
TU = UV
Putting values,
x² + 2x – 2 = -x+8
or
x² + 2x – 2+ x - 8= 0
x² +3x-10 = 0
x² +5x - 2x -10 = 0
x(x+5) -2(x+5) = 0
(x-2) (x+5) = 0
x = +2 and x = -5
Hence, the positive value of x is 2.
-x/6 +10 = 11
I need the value for x it’s either
-6 or 6
Answers
Answer:-6
Step-by-step explanation:
use pathway with a m
Complete the proof.....
Answers
Answer:
Step-by-step explanation:
From the given attachment to the question, the following can be deduced.
1. M is the midpoint of GH, given that M is the definition of midpoint.
2. GM ≅ MH, given that x = 2. So that,
GM = 5x = 5(2)
= 10
MH = 3x + 4 = 3(2) + 4
= 10
Thus, GM ≅ MH
3. GM = MH is the definition of congruence. This implies that they are similar.
4. 5x = 3x + 4, by substitution property of equality.
Since, x = 2 then;
5(2) = 3(2) + 4
10 - 10
5. 2x = 4, given that x = 2.
6. GH = GM + MH, by division property of equality.
Choose the correct answer
Answers
Answer: it should be d pretty sure
Step-by-step explanation:
Part C Whose puppy weighed the most when the person got it? How much did it weigh?
Answers
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
Answer:
Olivia's puppy and the amount of pounds the puppy gained is 5 pounds
Step-by-step explanation: