Answer:3,712÷64=58
Step-by-step explanation:
Answer: The ratio is 58:1, and the division is = 58. Scroll for solving, check, and notes.
Explanation:What we know:
The question wants us to use equivalent ratiosThe numbers 3,712 and 64 have common denominatorsAn equivalent ratio is a ratio that is something of a simplified form of large numbers, written in a fraction, with a colon, or with the word 'to'How to solve:
We need to find the equivalent ratio of 3,712 and 64, and then solve the question based on that.
Process:Finding equivalent ratios
Set up equation 3712/64
Rewrite into colon-ratio form 3712:64
Divide by common denominator /64 /64*
Solution: =58:1
*Read bottom of notes to find out how I found this denominator
Answer: The ratio is 58:1; the solution to the division is 58.Notes:
There is no way to always know the ratio's common denominator. However, there are some general rules of thumb that may help:
-All numbers have a common denominator of 1. Sometimes, that's the most simplified form.
-All even numbers (Those that end in {0, 2, 4, 6, or 8}) have a common denominator of 2
-All numbers whose digits add up to {3, 6, or 9} (such as 12: 1+2 = 3) have a common denominator of 3.
-These three numbers serve as basic building blocks. You can keep simplifying with them until you get to a prime number. Let's use our problem as an example:
3712 and 64 - both are even, simplify by 2
1856 and 32 - both are even, simplify by 2
928 and 16 - both are even, simplify by 2
464 and 8 - both are even, simplify by 2
232 and 4 - both are even, simplify by 2
116 and 2 - both are even, simplify by 2
58 and 1 - there is a prime number, so this is the simplest form.
Now we take all of our simplifications: 2^6. 2^6 = 64, so the common denominator is 64.
Check:
Our ratio, 58:1, is the simplified form of 3,712 div. 64. This is seen better by rewriting both into a fraction-ratio form:
58:1 3712 div. 64
58/1 3712/64
Luckily, our ratio has a 1 in it. This means that when we multiply the ratio by 64 (what the 1 represents), it should yield the original equation.
3712/64 = 58/1
3712/64 = (58/1)*64
3712/64 = 3712/64
Therefore, 58:1 is the correct ratio.
Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?
(A) Yes. For every block of width, he could build two blocks high.
(B) Yes. He could use half as many blocks for the height as the width.
(C) There is no way to determine if he can do this.
(D) No, it is not possible to do this.
If a tennis ball has a diameter of 14, What is the volume of the tennis ball in terms of pie?
Answer:
the volume of the tennis ball is 1436
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 30 POINTS TO THE FIRST ANSWER
5 to the power of 2 + 2 to the power of 2?
Answer:
I think your answer would be 29
Step-by-step explanation:
first 5 to the second power basically 5x5 so that equals 25,than 2 to the second power is 4(2x2) 25+4=29
can someone please do this fast
Answer: 2, 8, 96cm^2, 35 miles
Explanation:What we know:
We need to solve all of the given problemsWe have the information we needWe can use ratios to our advantageHow to solve:
By using our knowledge of ratios and substitution, we can solve these problems.
Process:First problem
Set up ratio 7.5:15
Find GCF (7.5:15)/7.5
Simplify 1:2
Solution: 2
Second problem
Set up equation (x/10) = (6/7.5)
Rewrite (x/10) = (60/75)
Simplify (x/10) = (4/5)
Common denominator (x/10) = (8/10)
Isolate variable [(x/10) = (8/10)]*10
Simplify x = 8
Solution: 8
Third Question
where x represents the new width, y represents the new length, and A represents the new area.
Set up equation A = xy
Substitute A = (2*4)(2*6)
Simplify A = (8)(12)
Simplify A = 96
Solution: 96 cm^2
Fourth Question
Where x represents the unknown length in miles
Set up equation (21:3) = (x:5)
Rewrite in fraction form [(21/3)] /3 = (x/5)
Simplify (7/1) = (x/5)
GCF 5(7/1) = (x/5)
Isolate variable [(35/5) = (x/5)]*5
Solution: 35 miles = x
Answer: 2, 8, 96 cm^2, 35 milesCheck:Problem 1:
If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:
(1/2^2)(15*15) = (7.5*7.5)
(1/4)(15^2) = (7.5^2)
225/4 = 56.25
56.25 = 56.25
Therefore, a scale factor of 2 is correct.
Problem 2:
If x = 8, then 8/10 should equal 6/7.5. Let's solve this:
when x = 8:
8/10 = 6/7.5
0.8 = 0.8
Therefore, x = 8 is a correct solution.
Problem 3:
If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:
(1/2^2)(96) = (6*4)
(96/4) = 24
24 = 24
Therefore, the new area is 96 cm^2.
Problem 4:
If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:
(21/3) = (35/5)
7 = 7
Therefore, the houses are 35 miles apart.
please answer (20 points)
Answer:
3√2
Step-by-step explanation:
perform factorisation
√18 = √ 2 × 3 × 3
= 3√2
Solve
[tex]\frac{-4x^2y^2z^4}{16x^{10}yz^3}[/tex]
HELP ME THIS IS DUE TODAY
An office printer printed an 18-page report in 2 3 of a minute. What is its print speed?
Answer: 27 pages per minute
Step-by-step explanation:
To find the unit rate, you need to divide the first unit by the 2nd. In this question, we're trying to find pages per minute. Hre, the first unit is pages, and the 2nd unit is minutes.
Pages: 18
Minutes: 2/3
18÷ 2/3
18x3/2
54/2
27
27 pages per minute is the rate.
Hope this helps :)) Also brainliest would be appreciated ! :D
Answer:27 pages per minute.
Step-by-step explanation:
Mary buys a 10-meter spool of thread for sewing. She uses 210 centimeters. How much is left on the spool in centimeters? (4 points)
21 centimeters
190 centimeters
790 centimeters
2,100 centimeters
Answer:
790cm
Step-by-step explanation:
10 meter =1000cm
1000cm - 210cm= 790cm
The number of customers at Yummy Smoothies varies throughout the day. During the lunch rush on Saturday, there were 120 customers at Yummy Smoothies. The number of customers at Yummy Smoothies during dinner time was 10 customers fewer than the number during breakfast. The number of customers at Yummy Smoothies during lunch was 3 times more than during breakfast. How many people were at Yummy Smoothies during breakfast? How many people were at Yummy Smoothies during dinner? Let d represent the number of customers at Yummy Smoothies during dinner and b represent the number of customers at Yummy Smoothies during breakfast.
Answer:
190 people
Step-by-step explanation:
At lunch, there were 120 people.
There were 3 times more people at lunch than breakfast meaning you divide 120 by 3.
120 / 3 = 40
At dinner, there were 10 people less than at breakfast.
40 - 10 = 30
Add up your numbers.
120 + 40 + 30 = 190
B = 40
L = 120
D = 30
Answer:
dsssdasdasd
Step-by-step explanation:
pls help me thank you
Answer:
558 cm 2
Step-by-step explanation:
you get the area of all 6 sides and add them
Can someone please help me with this thanks
Answer:
72
Step-by-step explanation:
that is a right triangle
90-18=72
If each of the two complementary angles has the same measure, then each angle will equal _____.
A) 90°
B) 22.5°
C) 45°
D) 180°
Answer:
A
Step-by-step explanation:
two complementary that have the same measure angels always equals 90
A lawyer spends $75.00 on 3 staplers and 3 pads of paper. If each stapler costs $21.75, and each pad of paper costs x dollars, which statement is true?
help me add 2/8 +5/8! I'm not too smart....
Answer:
7/8
Step-by-step explanation:
the answer to this is 7/8
Answer:
the answer is 7/8
Step-by-step explanation:
because both are 8ths, they can be added together. please pay attention to your classes.
Analisa recorded 83°, 87°, 90°, and 78° as the highest temperatures in her city for the month of October. She calculated a mean of 84.5° and a median of 85° for these temperatures. Which statement would describe the changes in the mean and the median if a temperature of 76° was then added to her list?
Answer:
it is the third answer
Step-by-step explanation:
A runner runs at a rate of 4.5 miles per hour. How far does the runner run in 0.75 hours?
options:
1.6 miles
3.375 miles
3.75 miles
5.25 miles
Answer:
3.375 miles
Step-by-step explanation:
A runner runs at a rate of 4.5 miles per hour. How far does the runner run in 0.75 hours?
x = hours they ran
4.5x <== substitute 0.75 for x
4.5(0.75) <== multiply
3.375 miles
Hope this helps!
that cost $5.20/lb with walnuts
that cost $6.40/lb. How many
pounds of each were used to
make a 45 pound mixture that
cost $6/lb?
Answer:
31.12
Step-by-step explanation:
I thinkkk it's right, Let me know if it's wrong and I'll check it.
can you help me on this please
Answer:
1.25 or 5/4
Step-by-step explanation:
If g = 5/6 then the expression would be 5/6 + 5/12 and the answer for the expression reduced is 5/4 and in decimal form is 1.25
please help me thanks
Answer:
A. 1.609344 km
B. 0.62137119 m
Step-by-step explanation:
maybe brainliest
The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make one 360-degree rotation. Round to the nearest hundredth if necessary.
distance: about (BLANK) in.
Answer:
207.35"
Step-by-step explanation:
maybe brainliest if its right
Answer:
2.5 cm
Step-by-step explanation:
5 Cm is the diameter and the radius is half the diameter so 5/2=2.5 or 1/2
Answer:
radius = 2.5cm
Step-by-step explanation:
diameter = 5cm
radius = diameter / 2
= 5 / 2
= 2.5cm
i need help on this i have to get it done bhy thursday and im not even close to done
I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
================================================
These are the current coordinates of the market:-
[tex]\sf{(3,8)}[/tex]
Move it 2 units to the left:-
[tex]\sf{(1,8)}[/tex]
Move it 3 units down:-
[tex]\sf{(1,5)}\longleftarrow\sf{new~coordinates~of~the~market}[/tex]
What was Paul's mistake?
Paul's mistake was:-
He moved the market 3 units to the left and 2 units down, when he should have moved it 2 units to the left and 3 units down.======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
New location: (1, 5)
Paul's mistake: His mistake was that he switched moving 2 units left and 3 units down with 3 units left and 2 units down.
Step-by-step explanation:
The market was previously at (3, 8).
3 – 2 = 1 (subtract the previous market location with what he's moving with: which is 2)
8 – 3 = 5 (subtract the previous market location with what he's moving with: which is 3)
The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?
Answer:
I think the difference in distance is 4000 meters / 10 laps.
Step-by-step explanation:
you multiply the number of laps that they ran and then subtract the products with each other and get the meter answer
or you could just subtract the laps and get your lap answer and then multiply that by 400 to also get the same meter answer
im not sure if im right tho so good luck
plss hurry i have to finish this really soon
Answer:
equation 3 is correct
Step-by-step explanation:
Answer:
Number 3 is true.
Step-by-step explanation:
Equation 1 is 823543, so that is incorrect.
Equation 2 equals 1, wrong.
Equation 3 is 1/49. 7 multiplied by itself (7 x 7) is 49. This is correct
Equation 4 is 1/33232930569601, nowhere near the answer.
my last question to my assigment ;-; (this was assigned today)
HELP ASAP PLSS BUT only answer if you know it's correct
hi i need help once again
The complete table is given below.
2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.
3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.
Given:
Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research.
They each walked at a constant rate, but their rates were different.
1. Complete table:
Time in hours Miles walked by Miles walked by Miles walked by
Diego Elena Andre
1 3 2.75 3.5
2 6 5.5 7
4 12 11 14
5 15 13.75 17.5
2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.
3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.
4. Here, the graph is not given.
Therefore, 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ3
A bus route currently has an average of 1,275 riders per day. A transportation engineer estimates that there will be 5.7% more passengers riding the bus route next year and 6.5% more passengers the year after that. According to the engineer’s estimate, about how many passengers will ride the bus route two years from now rounded to the nearest whole?
Answer:
1,435 passengers
*Brainliest would be appreciated.
Step-by-step explanation: