Answer: The denominator of a fraction tells you the relative size of the pieces. Therefore, the reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size.
Answer:
We need to have a common denominator in order to subtract different fractions because if we have an example like.
5/2 - 6/8 we cannot do that because the denominator is not alike.
We have to use multiplication to help us here.
2 x 8 = 16 !
So. no we have 5/16
so now we do 5 x 8 = 40
So now my new fraction is - 40/16 BUTTTT 40/16 is an improper fraction. so 40/16 = 5/2
Now we are back at the square 1 so now we have to fix 6/8.
8 x 6 = 48
6 x 6 = 36.
--
2 x 24 = 48.
5 x 24 = 120 or 12
now we have 12/48 and 36/48.
We can subtract now!
Hope this helped for problems like this.
Ross has a model truck. It has a scale of 1 inch for every 32 inches on a real-sized truck. He wants to build a garage for the model at the same scale.
Given that the garage for a real-sized truck is 12 feet wide, how wide should his model garage be?
Answer in decimal form: 4.5 inches
Answer as a mixed number = 4 & 1/2 inches
========================================================
Explanation:
" It has a scale of 1 inch for every 32 inches on a real-sized truck" means the the scale is 1:32
Put another way, the real life width is 32 times greater than the scale model.
So we can form the equation
y = 32x
where x is the scale model width and y is the actual real life width.
---------
The garage in the real world is 12 feet wide, or 12*12 = 144 inches wide.
Plug y = 144 into the equation and solve for x
y = 32x
32x = y
32x = 144
x = 144/32
x = 4.5
His scale model garage must be 4.5 inches wide
4.5 inches = 4 & 1/2 inches = 4 and a half inches
Answer:
4.5 inches
Step-by-step explanation:
First, convert all measurements to the mase units
12 feet -> 144 in
Now, we will identify what 144 inches would be as a model scale. We will do so by dividing 144/32 since 32inches equals 1 model scale inch.
144/32= 4.5
therefore, the garage will be 4.5 inches as a model scale.
Plz :<
Renting a small truck for the day costs $29.95 plus $0.79 per mile that truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. What is the equation used to model this situation and its solution?
A. 29.95x + 0.79 = 91.57; x = 3.03
B. 0.79x + 29.95 =91.57; x =78
C. 0.79x =121.56; x =153.87
D. 80x +30 =9157; x =114.0875
Chance rode his bike for x minutes, and Jaden rode his bike for 3/8 more than that.
Part A
Write and equation using fractions that relates the number of minutes Chance rode with y, the number of minutes that Jaden rode his bike. (write your answer as a fraction)
y= __ x
Part B
Write an equation, using decimals, that relates the number minutes chance rode with y, the number of minutes that Jaden rode his bike.
y=___ x
Answer:
Part A = 6/16
Part B .15
Step-by-step explanation:
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…
45, 22.5, 67.5
19, 16, 20
45, 42, 126
40, 37, 111
Answer: 45, 42, 126
Step-by-step explanation:
hope it helps
Mark talked on his cell phone 3 hours over the weekend. Genaro talked on his phone 1 9−− 10hours. How much longer did Mark talk on his phone than Genaro?
Answer:
7 hours
Step-by-step explanation:
10-3=7
Answer:
1 1/10 hours more
Step-by-step explanation:
3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours more •✧•
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of division problems to total problems? [Type your answer as a fraction in simplest form, and use / for the fraction bar.]
help help h e l p
Answer:
2 : 1
Step-by-step explanation:
24 to 12
divide by 12
2 to 1
its just simplifying
Answer:
2:1
Step-by-step explanation:
Which is the best estimate for 6,193 ÷ 48 using compatible numbers.
A. 100
B. 120
C. 150
D. 160
The best estimate for 6,193 ÷ 48 using compatible numbers is 120. Therefore, option B is the correct answer.
Given that, 6,193 ÷ 48.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, the number 6,193 can be rounded off to 6000 and the number 48 can be rounded off to 50.
So, 6,193 ÷ 48
= 6000 ÷ 50
= 120
The best estimate for 6,193 ÷ 48 using compatible numbers is 120. Therefore, option B is the correct answer.
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Need help for 2 and 3realy don't understand 3
Answer:
p=6 and r=48
Step-by-step explanation:
19=4p-5
19+5=4p
24=4p
24/4=p
6=p
check
19=4p-5
19=4x6-5
19=24-5
19=19
3)r/2-8=16
r/2=16+8
r/2=24
r=24x2
r=48
check
r/2-8=16
48/2-8=16
24-8=16
16=16
I need help overdo! I will give brainlist!
1. It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to talk to school?
2. A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answer:
1. 20 (.8) = 16
It takes him 16 minutes to walk to school.
This is because 80% as a decimal is .8 and you multiply that by how long it takes Person A to walk and you get 16.
2. 65%
Given: Full capacity=200000 litres
Amount of fuel used 130000/200000x100
Solving it, we will get 65%
Step-by-step explanation:
Answer:
1. 16 minutes
2. 65%
Step-by-step explanation:
For question 1: 20 x 0.8 = 16.
For question 2: 130000/200000 = 0.65 = 65%.
I will give brainlest for the right answer. Please don't just make up a random thing. PLEASE!
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
45xy-220
15x-30y-220
15x+30y-220
15x+30y-64
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) = \\ [/tex]
[tex](30 \times \frac{1}{2} x) -( 30 \times 2 )+ (40 \times \frac{3}{4} y )- (40 \times 4 )= \\ [/tex]
[tex]15x - 60 + 30y - 160 = \\ [/tex]
[tex]15x + 30y - 220[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option Three .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
solve the proportion. where necessary, round to the nearest hundredth. 8/2 = x+3/4
Answer:
x = 13
Step-by-step explanation:
8/2 = (x + 3)/4
~Simplify
4 = (x + 3)/4
~Multiply 4 to both sides
16 = x + 3
~Subtract 3 to both sides
13 = x
Best of Luck!
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
hope that helpes sorry if im whrong good luck
Sam rode his bike 7 and one-half miles on Monday, 4 miles on Tuesday, and 6 and one-third miles on Wednesday. How many miles did he ride altogether?
A. 17 and two-fifths
B. 17 and three-fifths
C. 17 and one-sixth
D. 17 and five-sixths
Answer:
17 and 5/6
Step-by-step explanation:
7 1/2 mi. + 4 mi. + 6 1/3 mi.
= 7 1/2 mi. + 10 1/3 mi.
1/2 = 6/12
1/3 = 4/12
7 6/12 mi. + 10 4/12 mi.
= 17 10/12 mi.
= 17 5/6 mi.
Answer:
add 7 6 and 4 then add 1 half and 1 third of a mile ( a mile is about 5000 feet)
Step-by-step explanation:
here is an inequality: 2x+5>50. explain the steps you would use to solve the inequality for x. what would the graph look like
Answer:
Step-by-step explanation: 2 plus 5
7 <50
Answer:
x = 22.5
Step-by-step explanation:
2x + 5 > 50.
We do inverse operations sooo:
2x + 5 - 5 > 50 - 5.
50 - 5 = 45.
Then we do 2x ÷ 2 and 45 ÷ 2.
45 ÷ 2 = 22.5.
To check our answer to see if its right we do 22.5 x 2 which equals 45. Then we do 45 + 5 which equals 50. So the sign is wrong it should be greater than or equal to.
can u simplify 62/354 and if u can help
1. a machine can scan 12 pages in 3/5 minutes. how many pages can be scanned in 1 minute
Answer: 20 pages in a minute.
Step-by-step explanation:
12/3=4 pages in 12 seconds because 60/5=12 seconds
4*5=20 pages=60seconds=1 minute
whAt rate describes it
Answer:
the amazing rate
Step-by-step explanation:
1/2
Answer:
the answer is a
Step-by-step explanation:
because the amount of cups is 1/2
the amount of servings is 2/3
Michael decided to make French toast. He finds a recipe that calls for the following ingredients:
FRENCH TOAST
12 slices of bread
4 eggs
1 cup of milk
1 teaspoon of cinnamon
Michael makes a single recipe and shares the food equally among himself AND his four family members. How many slices of French toast does each person receive?
A.Each person gets 2 2/5 slices of French toast.
B.Each person gets 1/2 slice of French toast.
C.Each person gets 2 slices of French toast.
D.Each person gets 12 slices of French toast.
E.Each person gets 5 slices of French toast.
F.Each person gets 5/2 slices of French toast.
Answer:
The answer is "A" because you would have everyone get 2 pieces and you would give everyone 2/5 which would evenly divide 12 pieces
Im pretty sure it is A! But I still could be wrong. PLease forgive me if im wrong but I tried my hardest. If Im wrong pls correct.
(if correct could I maybe have brainliest? Tysm!)
Thats all. LOL cya
btw don't cheat anymore
WINK WINK WINK
lol
The boundary line on the graph represents the equation
5x + 2y= 6.
Write an inequality that is represented by the graph.
A Rube Goldberg machine consists of a series of devices that perform a simple task. Kate is drawing a scale model of her Rube Goldberg machine, which she plans to build and enter into a contest. A bicycle wheel on the scale model is 2 inches in diameter, while in the actual machine, it will be 28 inches in diameter.
Question 1
Part A
Based on the measures of the wheel diameter, what is the unit rate of inches of machine per inch of the model?
Answer:
The unit rate is 16
Step-by-step explanation:
The unit rate of the machine is given as 14 inches per model.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The diameter of bicycle wheel on the scale model is 2 inch.
And, the diameter in actual machine is 28 inch.
The unit rate of the machine can be found by using unitary method as follows,
For 2 inch diameter on scale model, diameter in machine = 28 inch
For 1 inch diameter on scale model, diameter in machine = 28/2 inch
= 14 inch.
Hence, the unit rate of inches of machine per inch of the model is 14 inches per model.
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Josh works for a construction company that uses 150 pounds of gravel for each driveway they pour.
He can buy a dump truck load with 30,000 pounds of gravel or a pick-up truck load with 2,500 pounds.
Which amount should he buy so that no gravel is left after all of the driveways are poured and why?
A.
Josh should buy the pick-up truck load because 2,500 ÷ 150 = 16 23. There is enough gravel to
pour 16 driveways with 100 pounds of gravel left. You cannot divide 30,000 ÷ 150 evenly.
B.
Josh should buy the pick-up truck load because 2,500 ÷ 150 = 160 23. There is enough gravel to
pour 160 driveways with 100 pounds of gravel left. You cannot divide 30,000 ÷ 150 evenly.
C.
Josh should buy the dump truck load because 30,000 ÷ 150 = 200. There is enough gravel to
pour 200 driveways with none left. You cannot divide 2,500 ÷ 150 evenly.
D.
Josh should buy the dump truck load because 30,000 ÷ 150 = 2,000. There is enough gravel to
pour 2,000 driveways with none left. You cannot divide 2,500 ÷ 150 evenly.
Find the value of x in each case:
**AWARDING BRAINLIEST!**
Answer:
edc≡80°
cba=32.75°
Step-by-step explanation:
A triangle is 180° so for edc you do 180-100= 80°. For cba you do
180-49= 131. Then to get x you do 131÷4= 32.75°
I think this should be the correct answer!
Please help this is due in 1 hour, Don't answer the question if you have no answer or ideas. Im not trying to be rude but I really just need help.
Think about how you can use absolute value notation to express the distance between two points on a coordinate graph. For each pair of points below, find the distance between the given points and express your work using absolute value symbols. Explain or Show your work.
1. (4, 9) and ( –5, 9)
2. (7, –1) and (7, –4)
3. (0, 9) and (0, –7)
4. (4, –8) and (–10, –8)
just use this formula and plug in all your values since im suffering trying to type all of this out on a keyboard but use this formula D= [tex]\sqrt{(x_{2}-x_{1}) + (y_{2}- y_{1} ) }[/tex] if you insert ur points in here you will get distance between each point . hope this helped i think this formula may not be what the question is asking but its the formula to find distance between points so
The distance from Leoti, Kansas to Dighton, Kansas on the map is approximately 2.5 inches. The key to the map states that 1 inch is equal to 20 miles. Which of the following best approximates the distance from Leoti to Dighton?
Answer:
I believe its 50
Step-by-step explanation:
since the distance is 2.5 inches and each inch is equivalent to 20 miles
2.5x20=50
Help help help help help help help
Answer:
C▶♋♋♋♋♋♋♋♋♋♋♋
someone help me please
Answer:
A. Length= 1.5 inches
width= 2 inches
B. 15
Step-by-step explanation:
The map shows the location of four places in a school.
A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
A (4, 5)
B(−4, 5)
C (−4, −5)
D (4, −5)
Answer:
4,-5 is your answer
Step-by-step explanation:
it is correct
What are the domain and range of f(x) = 21?
The domain and the range of a function, are the set of values the function can take as input and output.
The domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.
The function is given as:
[tex]\mathbf{f(x) = 21}[/tex]
There is no restriction as to the value of x.
So, the domain is:
[tex]\mathbf{Domain = (-\infty,\infty)}[/tex]
Irrespective of what the value of x is, the value of y will remain 21.
So, the range is;
[tex]\mathbf{Range = 21}[/tex]
Hence, the domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.
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Answer all for brainliest
Which is greater 1/10 or .09 why?
Which is the least value, .5 or 2/4?
Order from greatest to least, -4/5, -1/2, .25, -.2, 2 1/2
Answer: 1/10 is greater; niether its equal; 2 1/2, .25, -.2, -1/2, -4/5
Step-by-step explanation:
1/10 is a tenth and .09 is a hunderedth
PLEASSEEEE HELPPPP!!!!!
Answer:
-3, -1
Step-by-step explanation: