There are 96 children in a room.
40 of them are girls.
Find the fraction of the children that are boys.
Write your answer in its simplest form.
I will need it by this midnight
Answer:
7/12
Step-by-step explanation:
Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.
Rewrite the equation by completing the square. x^{2}+4x-21 = 0
Answer:
x={3,-7}
Step-by-step explanation:
brackets for list
Solve with quadratic formula
separate the solutions
Square
Answer:
2 for the first box and 25 for the second one.
Step-by-step explanation:
I need to find the diameter of a circle and the line in the middle is 3/5 cms
Answer:
1.2
Step-by-step explanation:
There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)
I Hope this helps!!
May someone please help me with this :)
Answer: It would be option D :)
Step-by-step explanation: the formula for volume in a cylinder is π r squared times height. You plug those in and that’s your answer!
Dot plot A is the top plot. Dot plot B is the bottom plot.
According to the dot plots, which statement is true?
The mean of the data in dot plot A is less than the
mean of the data in data plot B.
The median of the data in dot plot A is greater than the
median of the data in dot plot B.
The mode of the data in dot plot A is less than the
mode of the data in dot plot B.
The range of the data in dot plot A is greater than the
range of the data in dot plot B.
Please help I’m giving BRAINLIEST
Answer:
The median of plot A is greater that the median of plot B
Step-by-step explanation: the median on plot A is 45 and the median on plot B is 15
1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
What is the median?
The median is the middle number in a sorted, ascending, or descending, list of numbers.
Let us arrange the data of plot A in ascending order:
30,35,35,40,40,40,40,45,45,45,45,50,55,55,60
Number of observations = 15
Mean of the plot A = 44
Median will be the middle observation i.e. 8th observation i.e. 45
Let us arrange the data of plot A in ascending order:
5,5,5,10,10,10,10,15,15,15,20,20,25,30,35
Number of observations = 15
Mean of the plot B = 15.33
Median will be the middle observation i.e. 8th observation i.e. 15
Therefore,1)The mean of the data in plot A is greater than the
mean of the data in plot B.
2) The median of the data in plot A is greater than the
median of the data in dot plot B.
3) The range of the data in plot A is greater than the
range of the data in plot B.
To get more about the median, mode, and mean visit:
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Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?
A. AC=~ BD
B. Triangle ABC =~ Triangle CDA
C.AB =~ DC
D. Angle ABD =~ Angle DBC
Option A,Option B and Option C is correct
What is parallelogram?
Parallelogram is 4 sided closed figure with opposites parallel and equal
Given,AB=CD
AD=BC
Since, its opposite sides are equal, it is a parallelogram.
∴ΔABD≅ΔBCD
AC= BD(By CPCTC)
B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)
C.AB =DC(Given)
D. Angle ABD =~ Angle DBC(wrong)
Therefore,Option A,Option B and Option C is correct
Learn more about quadrilaterals
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Answer:
( B ) △ABC ≅ △CDA
( C ) AB ≅ DC
Step-by-step explanation:
Khan Academy;
ABC = CDA, but ≅ means approximately which is also true.
AB = DC, because the distance matches.
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
a. w2 = 3(243)
b. 3w2 = 243
c. 4w2 = 243
d. 3w2 = 3(243)
please im on a timed test
Answer:
b) 3w² = 243
Step-by-step explanation:
area = L x w
L = 3w
substitute for L:
243 = 3w x w = 3w²
3w² = 243
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet
Complete question :
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.
Answer:
17
Step-by-step explanation:
From Pythagoras :
Hypotenus = sqrt(opposite² + adjacent²)
From the diagram
l = sqrt((l-9)² + 15²)
l² = (l² - 18x + 81 + 225)
Square both sides
l² = l² - 18x + 306
l² - l² = 306 - 18x
18l = 306
l = 306/18
l = 17
1. A caterer charges a flat fee plus $8.50 per
person. If the total cost for a party of 65 people
was $601.50, how much would they charge for
a party of 150 people?
Answer:
$1,324
Step-by-step explanation:
$8.50 * 65 = $552.50. $601.50 - $552.50 = $49. So the flat fee would be $49.
$8.50* 150 = $1,275. With the flat fee it would be $1,275+$49 = $1,324.
state a,b, and the y-intercept then graph the function on a graphing calculator
Answer:
No x-intercepts
y-intercepts: (0,2)
Step-by-step explanation:
7x-12+3x+28=180 degrees
Please help ASAP
Answer:
180 degrees
Step-by-step explanation:
i think im not sure??????? i hope im right
you put it in the question
Solve for the given time.
You buy a car for $15,000 and it depreciates at a rate of 4.3% per month. How much is the car worth after a year?
Answer:
8851.86
Step-by-step explanation:
100-4.3= 95.7%
15000(.957)^12
150 is 75% of what number?
Answer:
200
Step-by-step explanation:
0.75X = 150
X = 200
so 200 is the answer
Answer:
200
150 is 75% of 200
Step-by-step explanation:
150 is 75% of what number
we can change this so it is simpler to understand.
150 = 75% of x
whenever it says "of" it is telling you to multiply
150 = 75% * x
now we simplify
150 = 75/100 * x
150 = 75x/100
*100 *100
15000 = 75x
/75 /75
200 = x
150 is 75% of 200
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
yeah i need help anyone?
Answer:
A
Step-by-step explanation:
A secant is a line that goes through a circle at two points.
Answer:
A
Step-by-step explanation:
a straight line that cuts a curve in two or more parts.
A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.
Set up a ratio of height over shadow for each :
12/8 = 4/x
Cross multiply:
12x = 32
Divide both sides by 12:
X = 2 2/3 feet
The shadow is 2 2/3 feet.
7.) Jessica took her parents out to dinner. The total
bill was $48.55. She left an 18% tip. What was
Jessica's total cost for dinner?
Answer:
$57.289
Step-by-step explanation:
18% of 48.55
48.55 × 18 ÷ 100
= 8.739
48.55 + 8.739
=$57.289
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
Help please I’ll mark brainiest
Answer:
V≈7853.98
Step-by-step explanation:
V=πr2h
r=10
h=25
Solution
V=πr2h=π·102·25≈7853.98163
Function notation ? G (x)=x-3 ; find g(-6) .. how do I answer this?
Answer:
The value of g(-6) will be "-9".
Step-by-step explanation:
The given function is:
⇒ [tex]g(x)=x-3[/tex]
then,
⇒ [tex]g(-f)=?[/tex]
On putting the value "-6" at the place of "x", then we get
⇒ [tex]g(-6) = (-6)-3[/tex]
⇒ [tex]=-6-3[/tex]
⇒ [tex]=-9[/tex]
Thus the above is the correct solution.
A pizza cut into 8 pieces cost $10.00.
What is the cost per piece?
Answer:
$1.25
Step-by-step explanation:
10/8 =1.25
Answer:
$1.25
Step-by-step explanation:
just divided 10 with 8
2+2x+x2 but x=5 need help
Answer:
22
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
because i said so 2+2+2=6 and x=5 but two x=10
plz help me please please
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?
Answer: 152 days
Step-by-step explanation:
Answer:
152 days
Step-by-step explanation:
Hope it helps u
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The sides of the base of a right square pyramid are 5 centimeters, and the slant height is 8 centimeters. If the sides of the base and the slant height are each multiplied by 5, by what factor is the surface area multiplied?
A. 5 to 0
B. 5 to 1
C. 5 to 2
D. 5 to 3
Answer:
A
Step-by-step explanation:
The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
The lateral surface area of a pyramid is given by the formula:
L = (1/2) * P * l
where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.
So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.
Total area = 4[20] + 25 = 105
When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.
So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.
Total area = 4{500} + 125 = 2125
Therefore, the surface area is multiplied by a factor of 2125/105 = 25.
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I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!
Answer:
Step-by-step explanation:
To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.
P(2 Nickels): 6/10 x 5/9 = 30/90 (1/3 chance)
P(2 Dimes): 4/10 x 3/9 = 12/90 (4/30 chance)
P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)
I hope this helps :D
One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?
4/5 hours
20/9 hours
9/20 hours
5/4 hours
Answer:
4/5 hours
Step-by-step explanation:
Answer:
20/9 hours
Step-by-step explanation:
I got it right on the quiz
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer:
The last option is correct
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
Why is it important to know the background of a poet.
Answer:
To understand their poems better
Step-by-step explanation:
First you have a general knowledge on why the author made the poem
Second you now have more info to use in order to understand the poems
Third is the same reason why there are people in history books.