Question: 5/12 − 2/5= 1/60
A. The answer 1/60 is not reasonable because 5/12 is closer to 1 than to 1/2, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
B. The answer 1/60 is not reasonable because 5/12 is closer to 1/2 than to 1, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
C. The answer 1/60 is reasonable because both fractions are closer to 1/2 than they are to 0, making the difference close to 0.
D. The answer 1/60 is reasonable because both fractions are closer to 1 than they are to 1/2, making the difference close to 0.
Answer:
C
Step-by-step explanation:
It is reasonable: the answer is both reasonable and correct because 5/12 - 2/5 = 1/60. This is because using cross multiply, 5 x 5/12 = 25/60, 12 x 2/5 = 24/60. 25/60 - 24/60 = 1/60.
Both are closer to half: half out of 12 would be 6/12 and 0 would be 0/12, so 5/12 is closer to half because 5/12 is closer to 6/12 than 0/12. Half out of 5 would be 2.5/5 and 0 would be 0/5, so 2/5 is closer to half because 2/5 is closer to 2.5/5 than 0/5.
The difference is close to 0: 1/60 is very close to 0. It's only worth 0.016.
Shawntell is training for a relay race. She ran 2000 feet every day for 6 days.
How many yards did Shawntell run?
Answer:
12,000
Step-by-step explanation:
2000*6 is 12000
Hope this helps plz hit the crown :D
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
PLEASE HELP WILL GIBE BRANLISEST TO BEST ANSWER
Since a square has 4 equal sides, we can write an eqauation like this:
3x = 5x - 8
Steps to solve:
3x = 5x - 8
~Subtract 5x to both sides
-2x = -8
~Divide -2 to both sides
x = 4
Therefore, each side length is 4 units.
Perimeter formula: 2w + 2l = p
2(4) + 2(4) = p
8 + 8 = p
16 = p
Therefore, the perimeter is equal to 16 units.
Best of Luck!
perimeter is equal to 16 units.
Step-by-step explanation:
Can someone help me with this
question one:
row 1:
blank 1) 14 blank2) 7 blank3) 10.5
row 2:
blank1) 2664 blank2) 22.2 blank3) 333
Answer:
question one:
row 1:
blank 1) 14 blank2) 7 blank3) 10.5
row 2:
blank1) 2664 blank2) 22.2 blank3) 333
Step-by-step explanation:
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to the volume of water in the fishbowl in cubic inches?
2,144.66inches to the power of 3
17,157.28inches to the power of 3
5,461.67inches to the power of 3
6,433.98inches to the power of 3
Answer:
A
Step-by-step explanation:
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
Algebra 1 - I don't understand how to find which term represents which.
Step-by-step explanation:
by recognizing the numbers of the description and find the same numbers in the equations and terms.
where do you find 12 in the problem description ? ah, it is the money she gets for a recycled bottle.
where do you find 10 in the problem description ? it is the money she gets for a recycled can.
and, surprise, surprise, "4b + 1" is what Solomon found to be his number of cans.
and 218 ? come on ! how many cents are in $2.18 ? well, how many cents are in $1 ? 100. so, in $2.18 there are 218 cents !
because all the other money numbers are in cents, and we always want to compare apples with apples, the total sum of earned money is best represented in cents too.
so,
12b = 12 × number of bottles recycled = the total money earned by recycling bottles.
10(4b+1) = 10 × number of cans recycled = the total money earned by recycling cans.
218 is again the total amount of money earned by recycling bottles and cans.
the parts of Marcus' equations represent the exact same things. Marcus only introduced an intermediate step with a dietary variable (c) that Solomon simply covered implicitly.
Marcus defined the variable c to represent the number of cans (and assigned it the same term "4b+1" that Solomon just called "the number of cans").
since c is exactly representing 4b+1, Marcus' equation is the same as Solomon's. if we replace "c" by its equal representation "4b+1" we get exactly Solomon's equation.
so, yes, they represent the same problem.
12b + 10(4b + 1) = 218
12b + 40b + 10 = 218
52b = 208
b = 4
she recycled 4 bottles.
the number of recycled cans is
4b + 1 = 4×4 + 1 = 16 + 1 = 17
zu, she recycled 17 cans.
Answer:
she recycled 17 cans.
Step-by-step explanation:
A map has a scale of 1 cm: 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
A. 1/5 = 8/x
B. 1/x = 5/80
C. 1/5 = 80/x
D. 1/x = 8/5
Answer:
A
Step-by-step explanation:
Let's set up two ratios...
1 cm : 5km
8 cm : x km
Therefore the answer is A
Suppose that the values of x, y, and z are given by x=2/3 y=5/7 z= -11/3 What is xy/z
Answer:
The answer is -10/77 .
Step-by-step explanation:
In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :
\( \frac{xy}{z} = xy \div z\)
\(( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} \)
\( = \frac{10}{21} \times - \frac{3}{11} \)
\( = \frac{10}{7} \times - \frac{1}{11} \)
\( = - \frac{10}{77} \)
[20 POINTS] The ordered pair (a,b) satisfies the inequality y>x+3. Which statement is true?
a) If you add 3 to b it will equal a
b) a is greater than b
c) b is greater than a
d) If you subtract 3 from b it will equal a
A teacher selects two different numbers, x and y, and states that x + y = 0. Which statement could be true about these two numbers?
Both numbers are positive.
Both numbers are negative.
One number is zero and the other is positive.
One number is positive and the other is negative
Answer:
One number is positive, and the other is negative. The numbers are additive inverses. x + y = 0 -----> y = -x
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
(2, 5) and (6, 3)
(2, 5) and (4, 1)
(1, 7) and (9, 3)
(1, 7) and (5, 5)
Answer: I think it is the first one. (2,5) (6,3)
Step-by-step explanation: It looks like it is in the middle of all the points.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
43.
Referring to the figure, out of 2500 people, how many would you
expect check email daily?
a. 575 people c. 190 people
b. 1900 people d. 25 people
Answer:
B.) 1900 people
76% of 2500 is 1900
23% of 2500 is 575
1% of 2500 is 25
Have a nice day!
You would expect 1900 people to check email daily. The correct answer is b.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given;
Number of people = 2500
And from the chart,
76% of people check email daily.
To find the number of people:
use percentage formula,
number of people = 76% of 2500
Number of people = 76 x 2500 / 100
Number of people = 1900
Therefore, 1900 people check email daily.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
HELP ME WITH THIS ASAP!!!!!!!!!!!
Answer:
Below
Step-by-step explanation:
(-1/4 b - 1/8b) + (1/12 + 13/24)
(-2/8 b - 1/8 b ) + ( 2/24 + 13/24)
-3/8 b + 15/24
- 3/8 b + 5/8
- 1/8 * ( 3b-5)
Answer: hope this helps ♡
A: \(-\frac{3}{8}\) b + \(\frac{15}{24}\)
B: \(-\frac{1}{8}\) (3b - 5)
Step-by-step explanation:
Part A
\(-\frac{1}{4}\) b + \(\frac{1}{12}\) - \(\frac{1}{8}\) b + \(\frac{13}{24}\)
= \(-\frac{1}{4}\) b - \(\frac{1}{8}\) b + \(\frac{1}{12}\) + \(\frac{13}{24}\)
= \(-\frac{2}{8}\) b - \(\frac{1}{8}\) b + \(\frac{1}{12}\) + \(\frac{13}{24}\)
= \(-\frac{3}{8}\) b + \(\frac{1}{12}\) + \(\frac{13}{24}\)
= \(-\frac{3}{8}\) b + \(\frac{2}{24}\) + \(\frac{13}{24}\)
= \(-\frac{3}{8}\) b + \(\frac{15}{24}\)
Part B
• \(-\frac{1}{8}\) (3b - 5)
Miguel deposits $2000 into a bank account that earns simple interest. He writes the expression 2000 + 2000(0.015)(t/12) to represent the value of the account after t months. Based on Miguel's expression, how much interest will the account earn in one month?
Answer:
2000(1+ t/800)
Step-by-step explanation:
Convert the expression:
2000+ 2000*3/200* t/12
Factor the expression:
2000(1+3/200*t/12)
Reduce the number with the GREATEST COMMON FACTOR 3:
2000(1+1/200*t/4)
Multiply:
2000(1*t/800)
Solution: 2000(1+ t/800)
There were 160 containers containing 4/5 liters of oil each. 1/3 liter of oil was poured out of every container. 5/8 of the containers with lesser oil were then stored in a warehouse. The rest of them were bought by Roy. How much oil did Roy buy?
Answer:
Step-by-step explanation:
199.6 liter of oil
Determine the positive and negative interval , the answer should be written as an inequality or interval notation
pls help
i dont get what he did wrong other than the horrible hand writing pls help
help me this one plssssssssssss
Answer:
The integer that describes the translation from B to B' is (-2,1)
how to solve 526.8- 318.05
Answer: 208.75
Step-by-step explanation: The result of 526.8−318.05 is 208.75. Basically
you use long subtraction to solve this equation. The image I attached will show you how to do it:
Each student in Mr. Jones's class has two standard number cubes. Each student records the number of rolls it takes until he or she rolls doubles. The results are shown on the dot plot. Based on the results, what is the probability of needing more than 6 rolls to get doubles
Answer:
Step-by-step explanation:
3/20
Step-by-step explanation:
Count all attempts to only those greater than 6
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
PLEASE HURRY!
Akira has $4,101 in a savings account. The interest rate is 4.5%, compounded annually. To the nearest cent, how much will she have in five years?
Please use the equation y=a(1+r)^t
Answer:
i think its , Use y=a(1+r)^t; here y = $4101(1 + 0.04)^5 = $4989.49
sorry if im wrong
please please please help on both questions quick
Answer:
Do you want point-slope form, slope-intercept form, or standard form?
Question 1:
Point-slope form:
y-7=5(x-0)
Slope-intercept form:
y=5x+7
Standard form:
5x+y=7
Question 2:
Point-slope form:
y-7= -3(x+6)
Slope-intercept form:
y= -3x-2 or y= -3x+(-2)
Standard form:
3x+y=-11
Step-by-step explanation:
1. Points: (-2, -3) and (0, 7).
Find slope: m=7-(-3)/0-(-2)=7+3/0+2=10/2=5
Point-slope form:
y-7=5(x-0)
Slope-intercept form:
y=5x+7
Standard form:
-5x+y=7
2. Points: (-6, 7) and (0, -2)
m= -2-7/0-(-6)= -9/6= -3
Point-slope form:
y-7= -3(x+6)
Slope-intercept form:
y= -3x-2 or y= -3x+(-2)
Standard form:
3x+y=-11
Hope this helps! :D
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group A, because a child in the group has the least forearm length of 10 inches.
B. Group A, because four children have a forearm length longer than 12 inches.
C. Group B, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because five children in the group have the least forearm length of 10 inches.
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
What is (are) the coefficient(s) in the expression 11d+6t?
Select ALL that apply.
Responses
d
t
55
66
1111
1717
find the area of the shaded region. use 3.14159 as pi. round to the nearest tenth. be prepared to show your work.
Answer:
9.8
Step-by-step explanation:
Since the shaded region has a direct copy of itself on the other side, it means that the shaded region is 1/2 the total area of the circle. The area of the circle is pi(2.5)^2. Which is 6.25pi. 6.25/2 is 3.125. 3.125*3.14159 is 9.8174... Rounded to the nearest tenth, it is 9.8.