Answer:
The answer is actually a proper fraction = 7/20
Step-by-step explanation:
A mixed fraction is expressed as : a b/c
Let the mixed fraction be represented by Y
a) The fraction is halved
= Y ÷ 1/2 = Y/ (1/2)
In mathematics, when we divide a number by a fraction, the number is multiplied by the reciprocal of the fraction.
Y × 2 = 2Y
b) Then 3/4 is added
= 2Y + 3/4
c)The result is 1 9/20
2Y + 3/4 = 1 9/20
Converting the mixed fraction to improper fraction, we have
1 9/20 = (20 × 1) + 9/ 20 = 29/20
Therefore,
2Y + 3/4 = 29/20
2Y = 29/20 - 3/4
The Lowest common multiple of the right hand side = 20
2Y = (29 - 3×5)/ 20
2Y = 29 - 15/20
2Y = 14/20
2Y = 7/10
To find Y , we cross multiply
2Y × 10 = 7
20Y = 7
Y = 7/20
Therefore, the mixed fraction represented by Y is actually a proper fraction = is 7/20
Answer:
a = 1
b = 2
c = 5
Step-by-step explanation:
Given
Mixed fraction: a b/c
Result after arithmetic operations = 1 ⁹/20
Required.
Find a, b, c
From the question, the fraction is halved. This is represented as follows
a b/c ÷ 2
= a b/c * ½
Then, ¾ is added. This is represented by
a b/c * ½ + ¾
The result is 1 ⁹/20. This is represented by
a b/c * ½ + ¾ = 1⁹/20
Convert mixed fraction to improper fraction
a b/c * ½ + ¾ = 29/20
Subtract ¾ from both sides
a b/c * ½ + ¾ - ¾ = 29/20 - ¾
a b/c * ½ = (29 - 15)/20
a b/c * ½ = 14/20
a b/c * ½= 7/10
Multiply both sides by 2
2 * a b/c * ½= 7/10 * 2
a b/c = 14/10
a b/c = 7/5
Convert mixed fraction to improper fraction
a b/c = 1⅖
By comparison,
a = 1
b = 2
c = 5
The toy car above is stopped on a track. One student starts pushing the toy car to the right with a force of 5 Newton’s. At the same time another student is pushing the toy car to the left with a force of 2.5 Newton’s. Which of the following describes the resulting motion of the toy car??
I think it is traveling right at a constant speed
Can some one tell me the answer
PLEASE A.S.A.P
3 - (-8/2) = ?
Please show your work! thx!
Answer:
7
Step-by-step explanation:
\(3 - ( - \frac{8}{2} )\)
\(( - \frac{8}{2} ) = - 4\)
\(3 - ( - 4)\)
\(3 + 4 = 7\)
Answer: It should be 7
Step-by-step explanation:
Step 1 of 2: Subtract.
Subtract
3 − (negative 8 over 2 −
8
2
) = 14 over 2
14
2
Step 1 of 2: Subtract, sub-step a: Convert integer to a fraction.
Convert integer to a fraction
3 = 3 over 1
3
1
Step 1 of 2: Subtract, sub-step b: Subtract a negative.
Subtract a negative
3 over 1
3
1
− (negative 8 over 2 −
8
2
) = 3 over 1
3
1
+ 8 over 2
8
2
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
3 over 1
3
1
+ 8 over 2
8
2
= ( 3 × 2 ) over ( 1 × 2 )
3 × 2
1 × 2
+ ( 8 × 1 ) over ( 2 × 1 )
8 × 1
2 × 1
= 6 over 2
6
2
+ 8 over 2
8
2
2 is the least common multiple of denominators 1 and 2. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Add.
Add
6 over 2
6
2
+ 8 over 2
8
2
= ( 6 + 8 ) over 2
6 + 8
2
= 14 over 2
14
2
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
14 over 2
14
2
= 7
Latasha played a game where she could either lose or gain points each round. at the end of 8 rounds , she has 19 points . After one more round,she had 7 points . Express the change in on points in the most recent round as a integer Heeeeeeeellllllllllllpppppppppp nfffffffffaaaaaaaaasssssssssstttttttttttttttttt
Answer:
Step-by-step explanation:
42 use a calculator to find what 845/73 is
Mr. Lee wants to cover the seating area with tiles. If each tile has an area of 4 ft2, he will need tiles to cover the seating area.
Answer:
It is 30
Step-by-step explanation:
I hope you don't mind me getting my daily answers in
thank you
Answer:
The area of the parallelogram is
✔ 120
ft2.
Mr. Lee wants to cover the seating area with tiles. If each tile has an area of 4 ft2, he will need
✔ 30
tiles to cover the seating area.
Step-by-step explanation:
Love the L'Manberg profile picture btw.
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Please answer the question
Help? Im confused on this and i need a grade!
Answer:
A
Step-by-step explanation:
You have to factor the -1/5(y-3) first to get -1/5y+3/5.
Then, you will add 5 to 3/5 to get 5 3/5.
Finally, you will combined the whole equation.
Hope this helps! :)
Choose all the factors of 12. (Check all that apply.)
10
9
2
6
3
8
5
12
7
11
4
1
Answer: 1, 2, 3, 4, 6, 12
Step-by-step explanation:
Factors is what makes the number by multiplication
so 1 x 12 is 12,
2 times 6 is 12
3times 4 is 12
PLEASE HELP
Ten rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year, as shown in the table.
Year Rabbit Population
0 10
1 30
2 90
3 270
4 810
5 2,430
Complete each of the 2 activities for this Task.
Activity 1 of 2
Write an equation where y represents the number of rabbits in x years.
Activity 2 of 2
A second population of 10 rabbits is placed in a second enclosed wildlife ranch and doubles each year.
Select all statements that are TRUE when comparing the equation of the second group of rabbits to the first group.
A.
The base of the exponent will change from 3 to 2.
B.
The function will become quadratic.
C.
The y-intercept will change.
D.
The second population will increase less rapidly.
Answer:
C
Step-by-step explanation:
First, we have to find the equation that will give the rabbit population as a function of time and the initial population.
The equation we need turns out to be Population = a0 x 3y where a0 is the initial population and y is the number of years,
To find the rabbit population when a0 = 30 and y =3, use the equation to get Population = 30 x 33 = 810.
You can now find the difference in the number of rabbits at year 3 for the different starting populations.
1. Which figure is a diameter of F?
2. Which figure is a radius of F?
3. Which figure is a chord of F?
4. Which arc measures 180°?
1. THE DIAMETER OF F = CD
2. RADIUS OF F = CF OR FD [ AS F IS THE MIDDLE POINT AND ANY POINT FROM THE CENTRE IS TERMED AS RADIUS
3. CHORD OF F = AB
4. HERE 180° IS CD AS IT FORMS A STRAIGHT LINE
#1
F is situated in between C and DSo the diameter is CD
#2
Radius is 1/2CD=FD or FC
FE is also a radius#3
AB is a chord .#4
ARC (DCE) is of 180°One sixth of a number is equal to twice that number less 99. Let the unknown number be x.
Answer:
hopefully it help sorry i wrote alot wanted to be clear if i made a mistake plz dont come at me :))))))
Step-by-step explanation:
Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.
Example 11
If a number is increased by 8, the result is 25. Find the number.
Solution:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Example 12
If a number is decreased by 4, the result is 29. Find the number.
Solution:
Let x be the number. Decreasing x by 4 gives x - 4, which we are told is 29. Therefore, x - 4 = 29. By adding 4 to both sides, we find x = 33. So, the number is 33.
Example 13
If twice a number is equal to 68, find the number.
Solution:
Let x be the number. Twice x is 2x, which is given as 68. Therefore, 2x = 68. After dividing both sides by 2, we find x = 34. So, the number is 34.
Example 14
If a number is divided by 9, the result is 12. Find the number.
Solution:
Let x be the number. Dividing x by 9 gives x / 9, which is equal to 12. So, x / 9 = 12. Multiply both sides by 9 to find x = 108. So, the number is 108.
Example 15
If three times a number decreased by 5 equals 82, find the number.
Solution:
Let x be the number. Three times x is 3x, and decreasing this by 5 gives 3x - 5, which we are told is 82. Therefore, 3x - 5 = 82. Add 5 to both sides and then divide by 3 to find x = 29. So, number is 29.
Example 16
If one-half of a certain number is added to one-third of the same number, the result is 10. Find the number.
Solution:
Let x be the number. One-half of x is x / 2 and adding this to one-third of x, x / 3, gives x / 3 + x / 2, which we are told is 10. So, x / 3 + x / 2 = 10. Lowest common multiple of 3 and 2 is 6. So, multiply both sides by 6 to obtain 2x + 3x = 60.
Collecting like terms and then dividing both sides by 5 gives x = 12.
So, the number is 12.
Example 17
A rectangular paddock is twice as long as it is wide. If it has a perimeter of 570 m, find its dimensions.
Solution:
A rectangular paddock with length 2x m and width x m.
Let the width of the paddock be x m. Then w = x, l = 2x, P = 570. Substituting for l, w and P into P = 2(l + w) and solving for x gives x = 95. So, the paddock's length and width are 190 m and 95 m respectively.
Note:
We could have assumed that the length of the paddock is x m. Then the width of the paddock would be x / 2 m. However, working with fractions is slightly harder.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Please Help! Double Points!
Which equation represents the table above between the cost, c, and the number of months, n?
A) c = 30n
B) c = 10n
C) c = n + 30
D) c = n + 10
Answer:
C is the correct answer
Step-by-step explanation:
Hope this helped you, sorry I don't have an explanation.
Mariah drives 800 miles to California. The trip takes her 20 hours. She uses 50 gallons of gas on the trip, which cost her $125.
1. What is her speed?
2. What is her gas mileage?
3. What is the Unit Price she paid for the gas?
Answer:
Speed=40miles/hour
Step-by-step explanation:
This is 8th grade math on khan academy, correct answers only ty- 7 points
have a gud day folks
9² or 9^2
Step-by-step explanation:Because the base is the same on the top and the bottom which is "9", you would either add or subtract the top and bottom exponent based on the arithmetic symbol used.
Because the arithmetic symbol division sign is used, you subtract the top exponent by the bottom giving you the answer nine to the power of two.
Answer:
The correct answer is \(9^2\)
Step-by-step explanation:
9 is the base and 7-5=2. so n=2.
Two transformations are performed on a figure on a coordinate plane. The first transformation is translated 6 units up and 3 units right. Which second transformation will result in an image that is similar to, but not congruent to, the original figure?
Answer:
The last answer choice
Step-by-step explanation:
This transformation doesn't not keep its congruent
Pls help fast I need some one to help me pls
Answer:
The answer is 2(x-3)
Explanation: Think of x-3 as its own expression. Multiply the expression by 2 to get the answer.
Answer: 2(x-3)
Step-by-step explanation:
Step 1: Split the sentence into 2 parts.
'2 times'= 2 x (or 2 times something)
'the difference of x and 3'= x-3
Step 2: combine to form an expression/equation
2(x-3)
Hope this helps!! :D
A figure can be broken into a parallelogram and triangle.
Which formulas will you use to find the area of this irregular figure? Select all that apply.
A = one-half b h
A=b+h
A=bh
A=2bh
A=2(b+h)
Answer:
(a) A = 1/2bh
(c) A = bh
Step-by-step explanation:
You want the formulas for the area of a triangle and the area of a parallelogram.
Area formulasThe formula for the area of a triangle is ...
A = 1/2bh
The formula for the area of a parallelogram is ...
A = bh
__
Additional comment
The formula for the area of a trapezoid is ...
A = (1/2)(b₁ +b₂)h
A trapezoid is a quadrilateral with two parallel sides. These parallel sides are the bases, b₁ and b₂.
A parallelogram has bases of the same length. Using that fact in the formula gives ...
A = (1/2)(b +b)h = (1/2)(2b)h = bh . . . . area of a parallelogram
In a triangle, one of the bases is zero length. Using that fact in the formula gives ...
A = (1/2)(b +0)h = 1/2bh . . . . area of a triangle
The perimeter of a rectangle has the formula ...
P = 2(b +h)
It should not be confused with an area formula.
A rectangle measures 2 1/4 meters by 1 7/8 meters. What is its area??
Hello!
2^1/4 * 1^7/8
= 0.5 * 0.125
= 0.0625
PLS HELP ! Solve the addition equation by finding a common multiple. one half + two thirds + four sixths equals ___
Answer: 1/2 + 2/3 + 4 /6 = 11/6
Step-by-step explanation:
1/2 + 2/3 + 4 /6
We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.
Note that we do not change 4/6, since it already has a denominator of 6.
==> 3/6 + 4/6 + 4/6
Add;
==> 11/6
3/6 + 4/6 + 4/6 equal to 11/6
Hope this helped!
Find the GCF of 30, 60, and 78.
Step-by-step explanation:
6
Step 1 write each number as a product of its prime numbers
30=2*3*5
60=2*2*3*5
78=2*3*13
Find the common factors between the stree values in this case it is 2 and 3 then multiply the answer is 6
Need to be Answered ASAP. Which of the following values is not an irrational number?
pi, the cube root of 75, the square root of 50, and 8.47 repeating where the 7 is repeating
Answer:
pi = irrational
Cube root of 75 + 50 = irrational
8.47 (7 repeating) = rational
ASAP plz fyi for the back side you can use brainly its easy but i have allat more work to do plz ill make u brainliest!!
Answer:
Is on the picture
Step-by-step explanation:
And this too
Are these equivalent ratios? If so, what number did the numerator and denominator get multiplied(or divided by)?
Answer:
A. 8 yes this is an equivalent ratio
B. 4 but not equivalent ratio
C. 8 yes this is and equivalent ratio
D. 5 but this is not an equivalent ratio
Step-by-step explanation:
A. 2•8=16 and 3•8=24 yes this is an equivalent ratio
B. 4•4=16 and 7•4=28 this is not an equivalent ratio
C. 7•8=56 and 8•8=64 yes this is an equivalent ratio
D. 125÷5=25 and 25÷5=5 this is not an equivalent ratio
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
Write 360 as a fraction of 2250 in its lowest term.
Last year, the Golden State Warriors won 50 games. This year, they won 15 games. Which proportion represents the percent decrease in the amount of games the Golden State Warriors won?
Answer:
So, if there's an answer that's 30 that'd be it.
Step-by-step explanation:
15 + 30 = 50 therefore you add it up.
Help me please il give 20 points!
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
Please help me! im on an assignment an cant figure it out
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47