Answer:
75
Step-by-step explanation:
175= 25+2a
The number of laps that Swimmer A swam was 50 laps.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we suppose that:
Swimmer A swam x lapsSwimmer B swam y laps.Then, according to the given data, we have:
x + y = 175 laps
y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).
Thus, we get a system of two equations as:
[tex]x + y = 175\\y = 25 + 2x\\[/tex]
From second equation, putting value of y in first equation, we get:
[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]
As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.
Learn more about solving system of linear equations here:
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The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means?
Answer:
the difference of the mean in the case of mean absolute deviation is 2.5
Step-by-step explanation:
The computation of the difference of the mean is shown below:
Difference is of
= B - A
= 47 - 42
= 5
Now the difference of the mean is
= 5 ÷ 2.5
= 2.5
Hence, the difference of the mean in the case of mean absolute deviation is 2.5
The same would be relevant
Find two consecutive even integers who's sum is 34.
Answer:
Step-by-step explanation:
Let the smaller integer be x
x+x+2 =34
2x+2=34
2x=32
x=16
Smaller even integer = 16
Larger even integer = 16+2 = 18
Answer = 16,18
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 30 feet and a height of 16 feet. Container B has a diameter of 22 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Answer:
32.8%
Step-by-step explanation:
Container A:
Diameter = 30 feet
Radius = diameter/2 = 30/2
= 15 feet
Height = 16 feet
Volume of a cylinder = πr²h
= 3.14 * 15² * 16
= 3.14 * 225 * 16
= 11,304 feet ³
Container B:
Diameter = 22 feet
Radius = diameter / 2
= 22/2 = 11 feet
Height = 20 feet
Volume of a cylinder = πr²h
= 3.14 * 11² * 20
= 3.14 * 121 * 20
= 7598.8 feet ³
what is the percent of Container A that is full after the pumping is complete?
Container A - container B
= 11,304 feet ³ - 7598.8 feet ³
= 3,705.2 feet ³
percent of Container A that is full after the pumping is complete = 3,705.2/11,304 × 100
= 0.328 × 100
= 32.8%
percent of Container A that is full after the pumping is complete = 32.8%
Please can someone help me out with this- I’m really stuck on this problem and I can’t get off of it cause I failed it to much :/
How does the graph of f(x) = 3|x+2|+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been stretched.
C. The parent function has been compressed.
D. The parent function has been translated up.
Answer:
If the parent function is f(x)=|x+2|+4 and it is moved to the left 2 units vertically stretched by a factor of 3 and moved up by 4 units in that order because to move a function to left c units, add c to every x to vertically stretch function by a factor of c, multiply the whole function by c to move function up c units, add c to the whole function so it is 2 to the left, vertically stretched by a factor of 3 then moved up 4 units.
The points relates to parent function are:
The parent function was translated upward. The parent function was moved to the left. The parent function has been overburdened. What is a parent function?In mathematics, a parent function is the simplest function in a family of functions that maintains the definition of the entire family.
In graphing, the parent function is the basic equation where the graph is not transformed. A straight line, for example, has a parent function of y=x. The equations from such transformations will still be part of the family of lines if this graph is translated, reflected, rotated, or dilated.
The graph depicts the function f(x) - 3|x+2|+4.
The parent function was translated upward.
The parent function was moved to the left.
The parent function has been overburdened.
Learn more about Transformation here:
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Find the mean of the weight of rocks: 4 lbs, 6 lbs, 4 lbs, 5 lbs, 9 lbs, 8 lbs
3
Answer:
5.6 (rounded)
Step-by-step explanation:
add all the numbers, then divide by how many numbers u added :)
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Janette needs to break down the food container shown below for recycling purposes:
Which of the following will be the resulting net of the food container?
Answer:
Pretty sure the one you pointed an arrow to is correct.
Step-by-step explanation:
It has a circle at the bottom and the top as well as a slip for the body!
The net of the food container is the first diagram in the options.
What is the net of the food container?The net of a shape is the shape of the object when it is laid out flat. The food container has the shape of a cylinder. A cylinder is a three-dimensional object. It is a prism with a circular base.
The net of a cylinder is two circles and a rectangle.
To learn more about a cylinder, check: https://brainly.com/question/9624219
Find each sum or difference. 31 - 42.9 =
Answer:
-11.9
Step-by-step explanation:
plz crown
Answer: 11.9
Step-by-step explanation: you have to subtract the 2 numbers
3/5+1/4=
pls help !!!!!
Convert the number to scientific notation. 0.000001019
Answer:
0.000001019 in scientific notation
=
1.019 × 10-6
Step-by-step explanation:
Answer:
[tex]1.019^{6}[/tex]
Step-by-step explanation:
A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicycles sold from last year to this year? Round to the nearest percent
Answer:
12.5%
Step-by-step explanation:
Given data
Number of bicycles sold last year= 655
Number of bicycles sold this year= 582
%percent change= Iniitial -FInal/initial *100
%percent change= 655-582/582*100
%percent change= 73/582 *100
%percent change=0.125 *100
%percent change=12.5%
Hence the percent change is 12.5%
What is the value of tan x
Answer:
THE ANSWER HAS TO BE 6/10
Step-by-step explanation:
Find the surface area of the prism. Write your answer as a fraction or moxed number.
-59_________-60
<
>
=
Answer:
>
Step-by-step explanation:
-59 is bigger than -60. If you think about it on a number line, it is bigger.
By the way, can you follow me on Brainly?
Thanks!
Answer:
-59 > -60
Step-by-step explanation:
in negatives, the less the number is, the more it is.(kind of confusing)
pls help me:) pweassssssssse:{
Answer:
LCM = 24
Step-by-step explanation:
8 = 2 x 2 x 2
12 = 2 x 2 x 3
LCM = 2 x 2 x 2 x 3 = 24
Hope that helps! :)
<3 Cin Aphrodite...
Answer:
24!
Step-by-step explanation:
8 = 2 x 2 x 2
12 = 2 x 2 x 3
2 x 2 x 2 x 3 = 24
Hope this helps : )
George's scale drawing of a rectangular volleyball court is 6 inches long
by 3 inches wide. What is the
actual area if the scale is 1 inch = 8 meters?
I need help ASAP!!
The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
Answer:
i think its 6
Step-by-step explanation:
i dont know for sure
Wanda rode her bike 5km the first day and she rode her bike 10,000m the second day. How many meters, in total, did Wanda ride in the two days?
Answer:
there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
Solve 3n – 4= 14
Put the steps in order to solve the equation from first to last.
n = 6
Add 4 to both sides
Divide both sides by 3.
Answer:
n = 6
Step-by-step explanation:
Given
3n - 4 = 14 ( add 4 to both sides )
3n = 18 ( divide both sides by 3 )
n = 6
The cost of buying 1 DVD is $19.99. The cost of buying 1 CD is
$9.99. The cost of buying 3 DVDs and 5 CDs is given by the
expression 3 x 19.99 + 5 x 9.99. What is the total cost?
Answer: The Total $110
Step-by-step explanation:
I hope this is what you are looking for
The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x
Answer:
x = 3 is the answer :)
hope this helps
The solid is a right hexagonal pyramid. What is the sum of the number of faces, vertices, and edges of the solid?
o7
o 12
o26
o38
Answer: 26
Step-by-step explanation: assignment on edg
Answer:
26
Step-by-step explanation:
got it right on test
simplify. -4x^2-5(x+3)+x^2
5
4
3
M(-2, 1)
2
1
-5
1
2
5
4
5
х
-4 -3 -2 -1
-1
-2-
-3-
-4
N (5,-3)
-5-
What is me distance between points M and N?
ОА. 11
O C. 33
O B. V13
OD. V65
Answer:
5
Step-by-step explanation:
not you deleting it
The temperature currently −4.574°F. A high-pressure front increases the temperature to 8.7°F. Let x represent the number of degrees the temperature increases. How many degrees did the temperature increase?
Answer:
Step-by-step explanation:
increase 140 in the ratio 7:5.
Answer:
the answer is 196
Step-by-step explanation:
Answer:
i think that the correct answer might be 196
pls lmk what the vertex of this is ?
Answer:
Point U
Step-by-step explanation:
The center point of the angle
Ava has $400 on her credit card. She bought a laptop for $315, and decided to spend the rest on shirts. The unit price of shirts which are on sale is $5. Part A: Enter an inequality which represents the maximum number of shirts, s, Ava can buy. Part B: What is the maximum number of shirts Ava can buy?
Answer:
A is 805i tink and B is for sure 17
Step-by-step explanation:
Help me, please. I really need to get past this.
Answer:
5x=180
-5. -5.
×= 175
Answer: I am pretty sure the answer is 24
Step-by-step explanation:
So since the two angles are vertical opposite angles, they are congruent angles. Then,
120 = 5x
120/5 = 5x/5
24 = x