EXPLAIN the difference between surface area and volume in your own words
Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
If you want to learn more about percentages.
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Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
Learn more about patterns with shapes here:
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Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
6.16 hours
Step-by-step explanation:
Let the number of hours that washed the car together = T
Number of hours Matthew washed = m = 14 hours
Number of hours Arianna washed = a = 11 hours
The formula to calculate how many they wash the cars together is given as
1/a + 1/m = 1/T
1/14 + 1/11 = 1/T
Lowest Common Denominator = 154
Hence:
(11 + 14)/154 = 1/T
25/154 = 1/T
Cross Multiply
154 × 1 = 25 × T
T = 154/25
T = 6.16 hours
Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together
Answer:
below
Step-by-step explanation:
A)1 can be interpreted as the job, the project, the whole thing or all of the cars
B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)
C)multiply both sides by 14 hours/1 job and simplify to get t=14hours
D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11
E)t=154/25=t= 6.16 hours
A truck driver traveled 120 miles in 2.5 hours. How many miles can he
drive in 2 hours?
Answer:
110
Step-by-step explanation:
-2.5/2.5
2.5-5x=110
110/2.5-1.3=5x
The probability that Dan buys a sandwich is 0.2. The probability that Dan gets the bus is 0.8. Assuming the events are independent, what is the probability that Dan buys a sandwich and gets the bus?
The probability that Dan buys a sandwich and gets the bus will be 0.16.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.8.
Assuming the events are independent.
Then the probability that Dan buys a sandwich and gets the bus will be
P = 0.2 × 0.8
P = 0.16
More about the probability link is given below.
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what's the equation of this table
1 13
2 17.5
3 22
4 26.5
Answer:
y = 4.5x + 8.5
Step-by-step explanation:
this is true
The inverse of the function f(x) = one-half x plus 10 is shown. H(x) = 2x- What is the missing value?
Answer:
The missing term is 20
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{2}x + 10[/tex]
[tex]h(x) = 2x -[/tex] --- inverse of f(x)
Required
Complete h(x)
We have:
[tex]f(x) = \frac{1}{2}x + 10[/tex]
Express f(x) as y
[tex]y = \frac{1}{2}x + 10[/tex]
Swap x and y
[tex]x = \frac{1}{2}y + 10[/tex]
Multiply through by 2
[tex]2x = y + 20[/tex]
Make y the subject
[tex]y = 2x - 20[/tex]
Replace y with the inverse function
[tex]h(x) = 2x - 20[/tex]
Compare
[tex]h(x) = 2x - 20[/tex]
with
[tex]h(x) = 2x -[/tex]
The missing term is 20
Answer:
its d on edge
Step-by-step explanation:
What is the first step to solve the equation 5x-6=44?
Answer:
Muliply 5 x6 then minus
Step-by-step explanation:
Find the measure of angle 6.
Answer:
124 degree
Step-by-step explanation:
Since 9y + 7 and 4y+4 are supplementary,
9y + 7 + 4y + 4 = 180
13y + 11 = 180
13y = 180 - 11 = 169
y = 169/13
y = 13
Therefore, 9y + 7 = 9*13 + 7 = 124
4y + 4 = 4*13 + 4 = 56
Since Angle 6 and angle 9y + 7 are vertically opposite angles, they are equal.
angle 6 = 9y + 7
Angle 6 = 124
Hope u understand.
Please mark as the brainliest
Thank You
find the value of
indices
Answer:
8/27
Step-by-step explanation:
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
The difference between the upper-class limit and lower class limit of a class interval is called *
2 points
A. Frequency
B. Width
C. Grouped data
D. Ungrouped data
: Marjorie is a 50% partner in Callie's Candies. Under the terms of the partnership agreement, she is to receive 50% of partnership income, but no less than $30,000. If the Partnership's net income for the year is 90,000 what amount of income does Marjorie earn from this partnership? ?
Answer:
$45,000
Step-by-step explanation:
Income = percentage of income she receives x income
50% x 90,000
0.5 x 90,000 = 45,000
Solve for x.
.......................
Answer: For both 3x+1 and 7x-1 is There are no like terms.
I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing
Step-by-step explanation: Hope this help :D
Select the correct answer from each drop-down menu. The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes. The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %. The probability of a randomly selected student completing the test in 95 minutes is %.
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
We solve using z score formula
z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.
a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.
z = 45 - 70/25
b) The probability of a randomly selected student completing the test in 95 minutes is %.
z = 95 - 70/25
5. Solve. 2 Questions only 86 points
c) 9.3 = 3n
d) 2n - 2.5 = 5.5
Answer:
what that person said
Step-by-step explanation:
Negative 3y plus 5y plus 5x subtract 3y
Answer:
5x-y
Step-by-step explanation:
1. Label all the following values using the box and whisker plot below: (1 point each)
(a) Minimum:
(b) Median (Q2):
(c) lower quartile (Q1):
(d) upper quartile (Q3):
(e) maximum:
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.
hope this helps!
Answer:
minimum 56
Median (Q2) 65
Lower Quartile (Q1) 60
Upper Quattile (Q3) 67
Maximum 75
Step-by-step explanation:
i go to k12
A meteorologist in a city recorded the type of weather for each day last year. The table shows the results.
Answer:
C
Step-by-step explanation:
93/35= 2.657
100/2.657= 37.636
round up
You lean a 12 foot ladder against the wall. If the base is 2.5 feet from the wall, what angle does the ladder make with the ground?
Answer:
77.975degrees
Step-by-step explanation:
Given the following;
Length of the ladder = 12foot (Hypotenuse)
Distance from the wall to the base of the ladder = 2.5feet (adjacent)
Using the SOH CAH TOA identity;
Cos theta = adjacent/Hypotenuse
Cos theta = 2.5/12
Cos theta = 0.2083
theta = arccos (0.2083)
theta = 77.975
Hence the angle that the ladder makes with the ground is 77.975degrees
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110 degrees, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Select the correct choice below, and fill in any answer box(es) within your choice.
(Type an integer or a decimal.)
A. No. The full field of view at point A is ____ . Each camera must have a field of view of at least ____
B. Yes. The full field of view at point A is _____
Answer:
b yes the full field of veiw sta point a is
need help fast on a timer
Answer:
D, [tex]10i\sqrt{2}[/tex]
Step-by-step explanation:
Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.
Answer:
the answer is D.
!!!!!!!!!!!!!!!!!!!!!!!!
6/9 - 12/16 PLEASE SOLVE I NEED IT ASAP PLSSSSSSS
Answer:
just subtract 6-12 =?
and then 9-16=?
Step-by-step explanation:
=6/7
Answer:
-1/12
Step-by-step explanation:
6/9 - 12/16
divide to the simplest
2/3 - 3/4
find the LCM = 12
therefore,
8 - 9 all over 12
-1/12
Pilates never uses equipment other than a mat. O A True O B. False
Answer:
B. False
Step-by-step explanation:
broooooooooo why would it just be a mat nah it can be more smh
Solve each by elimination
4x - 9y = 61
10x + 3y = 25
Answer:
(4,-5)
Step-by-step explanation:
Hi there!
The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable
here's the system:
4x-9y=61
10x+3y=25
we'll clear y to start
multiply the second equation by 3
3(10x+3y)=3(25)
30x+9y=75
4x-9y=61
now add the equations together (the 9y's clear because one is positive and another is negative)
34x=136
divide by 34
x=4
the value of x is 4
now to find y:
substitute the value of x into either one of the equations to solve for y
if we were to do the first equation for example:
substitute x as 4 into the equation
4(4)-9y=61
multiply
16-9y=61
subtract
-9y=45
divide
y=-5
so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)
Hope this helps! :D
Write the equation that goes through the points (1,4) and (5,8)
Jenna's dogs used 9 99 chew toys last year. The animal shelter used 2 , 277 2,2772, comma, 277 chew toys. How many times as many chew toys did the animal shelter use? Choose 1 answer: Choose 1 answer: (Choice A) A The animal shelter used 20 , 493 20,49320, comma, 493 times as many chew toys, because 9 × 2 , 277 = 20 , 493 9×2,277=20,4939, times, 2, comma, 277, equals, 20, comma, 493. (Choice B) B The animal shelter used 2 , 053 2,0532, comma, 053 times as many chew toys, because 2 , 277 ÷ 9 = 2 , 053 2,277÷9=2,0532, comma, 277, divided by, 9, equals, 2, comma, 053. (Choice C) C The animal shelter used 253 253253 times as many chew toys, because 2 , 277 ÷ 9 = 253 2,277÷9=2532, comma, 277, divided by, 9, equals, 253.
Answer:
253
Step-by-step explanation:
Given
[tex]J = 9[/tex] --- Jenna's dog
[tex]A = 2277[/tex] -- Animal Shelter
See comment for proper format of the question
Required
How many times did A use than J
The options are not clear. So, the general solution is as follows.
To solve this, we simply divide the chew toys used in A by the chew toys used by J
So, we have:
[tex]n = \frac{A}{J}[/tex]
This gives:
[tex]n = \frac{2277}{9}[/tex]
[tex]n = 253[/tex]
a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
Hannah invested $600 for 8 years at a rate of 3% per year simple interest.Calculate the interest Hannah receives.
Given:
Principal = $600
Rate of simple interest = 3% per year
Time = 8 years
To find:
The simple interest.
Solution:
Formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percent and t is the number of years.
Substituting [tex]P=600,\ r=3,\ t=8[/tex] in the above formula, we get
[tex]I=\dfrac{600\times 3\times 8}{100}[/tex]
[tex]I=6\times 3\times 8[/tex]
[tex]I=144[/tex]
Therefore, the simple interest is $144.