24+45+281+50=400
(45+n/400)×100=18
45+n=18×4=72
n=72-45=27
50-27=23.
hope it's correct
23 of the 50 children added were boys. The answer is 23 boys
Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.
Total number of people as members of badminton = 24 + 45 + 281 = 350
Percentage of girls = girls/total number x 100
% of girls = 45/350 x 100
% of girls = 12.9%
If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be
New total members = 350 + 50 = 400
Let g = new added girls from the children
Percentage of girls = girls/total number x 100
18 = (g + 45) / 400 x 100
18/100 = (g + 45) / 400
cross multiply
0.18 x 400 = g + 45
72 = g + 45
make g the subject of formula
g = 72 - 45
g = 27 girls
To get the number of boys added, take 27 away from the 50 children. That is,
The number of boys added = 50 - 27 = 23 boys
Therefore, 23 of the 50 children added were boys
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Kirk ran 7 1/2 miles around the track. Each lap is 2 1/2 miles. How many laps did Kirk run?
Write your answer as a fraction or as a whole or mixed number.
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb
Answer:
m = 6.43 (approx. )Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m
[tex] = > \frac{45}{7} = m[/tex]
=> 6.428571... = m
=> m = 6.43 (approx. ) (Ans)
Answer:
m = - 6 . 43
Step-by-step explanation:
49 - 3m = 4m + 4
= 49 - 4 = 4m + 3m
=45 = 7m
= 6.428571... = m
= m = 6.43
Find the area of the triangle. Round to the nearest tenth.
How far will a skier travel in 2 1/2 minutes? Explain how you figured it out
1 minute= 60 seconds
3600 meters 60 seconds would be 1440 traveled
and 1440 + 1440 + 720= 3600
Hope this helps :)
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
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what is the volume of this triangular prism
Answer:
V
≈
54.83
Step-by-step explanation:
This should be the correct answer.
Find the area of the figure
Answer:
75
Step-by-step explanation:
Answer:
Area of Figure = 75 sq. units
Step-by-step explanation:
Top Half-Portion: 30 sq. units
Dimensions: 6x5
6 x 5 = 30
Botton Half-Portion: 45 sq. units
Dimensions: 9x5
9 x 5= 45
45 + 30 = 75
Move each fraction to a box to make each comparison true.
I NEED HELP WITH THIS !! PLS HELP!!
Answer:
Step-by-step explanation:
2/14 * 1/23 = 1/91
Please help and I would really appreciate if the answer is correct
Answer:
The value for 6 is ones that's the answer
Answer:
14) 0.01 or 1/100
15) 0.06
16) 3.02
17) >
18)0.6
19) 100
20) 0.35
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Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°what is the area of the gray part of the triangle?
Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.
Area of rectangle inside triangle = 2× 5 = 10 sq unit.
area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit
Gray area = Big triangle area - white
rectangle area
Gray area = 1/2 × 6 × 9 - 2 × 5
Gray area = 3 × 9 - 10
Gray area = 27 - 10
Gray area = 17
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What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info
The value of x by CPCTC is 3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x.
CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
The side x is congruent to the quadrilateral having length 3.
the value of x is 3
Hence, the value of x by CPCTC is 3.
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Which scatterplot shows a negative correlation?
Answer:
Plot B
Step-by-step explanation:
Plot B has a negative slope.
A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?
Answer:
$3
Step-by-step explanation:
4 friends = $12
4/12= 3
Answer:
$3
Step-by-step explanation:
12 total divided by four people meanig they each payed $3 12/4 = 3
Find sin S, sin R , cos S, and cos R.
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.
9514 1404 393
Answer:
x = 5°
Step-by-step explanation:
The marked angles are "alternate exterior angles," hence congruent.
2x +90° = x +95°
x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides
A rectangle measures 2
1
2
meters by 1
3
4
meters. What is its area?
Answer:
28408
Step-by-step explanation:
212x134=28408
Find the sum of the first four terms of the geometric series 5 + 50 + 500+....
The answer is 5 + 50 + 500+5000= 5555
The _________ in the usage of words may be a serious barrier to effective communication
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
300 ml of an IV fluid contains 50 mcg of Drug A. If a patient is receiving 1000 ml of this IV fluid, how much of Drug A is this patient getting?
Answer: 166.666 mcgs
Step-by-step explanation:
If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,
IV fluid / Drug A = 300ml / 50 mcg
IV fluid / Drug A = 6 ml/ mcg
Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,
IV fluid / Drug A = 6 ml/ mcg
1000 ml / Drug A = 6 ml/ mcg
Drug A = 1000 ml / 6 ml/ mcg
Drug A = 166.667 mcg
Hence, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
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What is the measure, in degrees, of the highlighted angle?
Answer:
[tex]36^\circ[/tex]
Step-by-step explanation:
If you add the measures of the two marked angles, you get [tex]180^\circ[/tex]. The two angles form what some call a linear pair.
Set up and solve an equation.
4x + x = 180
5x = 180
x = 180 / 5
x = 36 degrees
what is the location of the point on the number line with the largest value
a. 3/4
b. 3/2
c. 6/5
d. 7/5
Answer:
3/2
Step-by-step explanation:
6/5 = 1 1/5
7/5 = 1 2/5
3/2 = 1 1/2
1/5 < 2/5 < 1/2
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit earned
at that price, y. Calculate the quadratic regression equation for this set of data. Using
this equation, find the profit, to the nearest dollar, for a selling price of 10.25 dollars.
Answer:
7263
Step-by-step explanation:
Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;
f(x) = -147.30x² + 3231.00x - 8213.66Profit earned on $10.25 is $9428.38The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.
The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :
f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66
f(10.25) = 9428.38
Therefore, the widget selling price is $9428.38
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PLEASE HELP IM BEING TIMED
Answer:
5
Step-by-step explanation:
x = 10 × Sin ( 30 )
x = 10 × 1/2
x = 5
Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The value of the tangent of ∠Q is 0.96.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
∠S=90°, SR = 7, QS = 24, and RQ = 25.
Using Trigonometry
tan Q = P/ B
tan Q= 24/ 25
tan Q = 0.96
Thus, the value of tan Q is 0.96.
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