The statements that are correct include the following:
B. The total number of students is > 160.
C. The percent as a part-to-whole ratio is 16/100.
E. There are 1600 students in the school.
What is a percentage?In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
For the total number of students, we have:
Total number of students = 10/100 × T = 160
0.1T = 160
T = 160/0.1
T = 1,600 students.
Note: Percentage as a part-to-whole ratio is 10/100.
In conclusion, we can reasonably infer and logically deduce that the total number of students at Park Junior High is equal to 1,600 students.
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Complete Question:
At park junior high 10% or 160 of the students play a musical instrument how many students attended the school?
Which statements are correct? check all that apply.
A.the total number of students is 160
B. The total number of students is > 160.
C.The percent as a part-to-whole ratio is 10/100
D.the percent as a part to whole ratio is 160/100
E.there are 1600 students in the school
F.there are 250 students in the school.
I need help with graphing
Ok I can help you with graphing
F= 200 lbs, d = 10 ft, How much work is performed?
Answer:
Step-by-step explanation:
Work = (force) x (distance)
= (200 lb) x (10 ft) = 2,000 ft-lbs .
Use the office to approximate the number in the sample
where's the sample?
lol
$250 increased by 200%
Answer: It went up $500 and the total is $750
Step-by-step explanation:
The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on weight, height, gender and age.
Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263
Based on this data, what is the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range?
Answer:
the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394
Step-by-step explanation:
Given the data in the question;
Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263
so
P( underweight) = 0.017
P( Healthy Weight) = 0.377
P( Overweight (not Obese) ) = 0.343
P( Obese ) = 0.263
now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;
P( weigh less than overweight(but not obese) = P( underweight) + P( Healthy Weight)
P( weigh less than overweight(but not obese) = 0.017 + 0.377
P( weigh less than overweight(but not obese) = 0.394
Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394
Given that a linear function goes through the points (3.2) and (5.6) determine the slope
of the line.
[tex]m = \frac{(y2 - y1)}{(x2 - x1)} = \frac{(6 - 2)}{(5 - 3)} = \frac{4}{2} = 2[/tex]
Answer : 2
If 4 out of 21 people prefer diet soda to regular soda, about how many regular sodas should be bought to serve 864 people, if each person
receives one soda?
~700 regular sodas to server 864 people
(the actual answer is 699.4285)
The number of regular sodas that should be bought will be 700 regular sodas.
If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.
Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:
= 17/21 × 864
= 699.42
= 700 Approximately
Therefore, the number of regular sodas that should be bought will be 700 regular sodas.
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Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how
long is the kite string?
Answer:
15.24feet
Step-by-step explanation:
Using the method of SOH CAH TOA;
Length of the kite is the hypotenuse = x
If the kite is 10 feet up in the air, then the height = 10feet (opposite)
Angle of elevation = 41 degrees
Sin theta = Opposite/hypotenuse
Sin 41 = 10/x
x = 10/sin41
x = 10/0.6561
x = 15.24 feet
Hence the kite is 15.24feet long
At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________
Answer:
Your answer is 31 for 1 shot points, and 45 for 2 shot points.
Step-by-step explanation:
Question 6
A triangle has vertices at (-9,2).(-9, -6), and (-3,-6). What is the perimeter of the triangle in units?
Answer:
Step-by-step explanation:
identify the following equations as one solution , no solution or infinite solutions 6x + 9 -x=3x+9+ x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+9= 4x+9
x=0
so one solution
Can removing two outliers not have an effect on the mean? Justify your responses.
The capacity of a container is 2,060 mil liters convert this to liters
Answer:
2,060 ml ÷ 1,000 = 2.06 liters
Step-by-step explanation:
Darryl is buying apples and bananas. He bought a pounds of apples that cost $2 per pound and b pounds of bananas that cost $1 per pound. The total amount of his purchase is given by the expression 2a + b. Select the terms of the expression. Mark all that apply. A 2a B 2 C A. D. B. E. 1b
Answer:
Step-by-step explanation:
I’m late lol
This data gives the average number of hours different students spend on the computer each day.
Average time (hours): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0
Create a line plot to display this data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
Answer:
2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20
Step-by-step explanation:
I took the test <>_<>
Which of the following is the equation for the line of symmetry in this figure?
Help please
Answer:
Y=-2
Step-by-step explanation:
-2y is right in between the figure.
Hope this helps!
Shannon jogs 20 miles in 4 hours.
If she maintains this constant speed, which graph shows the correct points to represent the situation?
Answer:
Say the answer meant be A
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Find the average rate of change please
Answer:
The Average rate of change of function f(x)
A(x) = 3
Step-by-step explanation:
Step(i):-
Given function f(x) = x²-2
Given values x = a = -1 and x = b =4
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = x²-2
f(a) =f(-1) = (-1)²-2 = 1-2 = -1
f(b) = f(4) = (4)²-2 = 16-2 = 14
Step(ii):-
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A(x) = \frac{14-(-1)}{4-(-1)} = \frac{14+1}{4+1} = \frac{15}{5} =3[/tex]
Final answer:-
The Average rate of change of function f(x)
A(x) = 3
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = -x
Step-by-step explanation:
Let the equation representing the table attached is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (23, -23) and (33, -33),
m = [tex]\frac{-33+23}{33-23}[/tex]
m = -1
Equation of the line will be,
y = -x + b
Since, this line passes through another point (43, -43),
-43 = -43 + b
b = 0
Therefore, equation of the line representing the table will be,
y = -x
Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?
Answer:
45
Step-by-step explanation:
5 divided by 8, multiply by 72
=(5÷8)72
=(0.625)72
=45
Evaluate the quotient of 1.05 x 103 and 1 x 103
Answer:
for the 1st one it is 108.15x
and the 2nd it is 103x
Step-by-step explanation:
answer plz plz for brainleiest
Answer:
-.5
Step-by-step explanation:
Answer:
B=0.5 or 1/2
its correct please give brainliest!!!
Find the equation of the line
Use exact numbers
Answer:
y = 1x + -5
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.
y = mx + b ⇒ y = mx - 5
now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0) from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].
first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]
then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.
[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]
now simplify by subtracting 0 from 3 and 5 from 8.
3 - 0 = 38 - 5 = 3the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or 3 ÷ 3 = 1.
the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)
i hope this helps! have a lovely day <3
3x^2 + 4x -8 = 0 How many solutions will there be?
Answer:
Step-by-step explanation:
mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden
Answer:
perimeter = 2(length) + 2(width)
Step-by-step explanation:
Please help thank you if you do
4/5 z = 2/7
7×4×z = 2× 5 (move the denominator of both fractions to the other side)
28z = 10
z = 10 ÷ 28
z = 5/14
Answer: The answer your looking for is 5/14
Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.
At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
solution
4%=260
100%=?
=(100x260)/4
=6500
Percentage of fans in the stadium who were teenagers = 4%
Number of teenagers in the match = 260
Let the total number of people at the stadium be x.
Which means :
[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]
[tex] =\tt \frac{4}{100} \times x = 260[/tex]
[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]
[tex] = \tt \frac{4x}{100} = 260[/tex]
[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]
[tex] =\tt x = \frac{26000}{4} [/tex]
[tex]\color{plum} =\tt x = 6500[/tex]
▪︎Therefore, number of people at the stadium = 6500
Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
How do I simplify 2275/6
Answer:
This fraction is at its most simplified form
Step-by-step explanation:
You can see this because the GCF of both of these numbers is 1.
The simplified form of fraction 2275/6 is 379.
We have,
To simplify the fraction 2275/6, we can divide the numerator (2275) by the denominator (6) to obtain the simplified form.
By performing the division operation, we obtained the decimal value 379.166666..., which we then rounded to the nearest whole number, resulting in 379.
This process of dividing the numerator by the denominator is the fundamental concept used to simplify fractions.
Dividing 2275 by 6:
2275 ÷ 6 = 379.166666...
Rounded to the nearest whole number, the result is 379.
Therefore,
The simplified form of fraction 2275/6 is 379.
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1 4/5 divided by 2 7/10
Answer:
2/3Step-by-step explanation:
In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.
So it would be 1 4/5 times the reciprocal of 2 7/10.
Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.
So 1 4/5 x 10/27 = 2/3
Answer:
2/3
Step-by-step explanation:
1 4/5 ÷ 2 7/10
Convert these into improper fractions
(Denomintaor × whole number + numerator)/denoninator
(5 × 1 + 4)/5
9/5
(10 × 2 + 7)/10
27/10
Now the equation says:
9/5 ÷ 27/10
Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction
9/5 × 10/27
Multiply the numerators and denominators separately
(9 × 10)/(5 × 27)
90/135
Simplify
Both 90 and 135 can evenly fit 15
90 ÷ 15 = 6
135 ÷ 15 = 9
6/9
This can still be simplified further
Both 6 and 9 can evenly fit 3
6 ÷ 3 = 2
9 ÷ 3 = 3
2/3
This cannot be simplified any further