Answer:
Number of boys = 675
Step-by-step explanation:
Given that:
There are 5 times as many boys as girls in a school.
Number of pupils in school = 810
Let,
x be the number of girls
y be the number of boys
According to given statement;
x+y=810 Eqn 1
y = 5x Eqn 2
Putting y=5x in the Eqn 1
x+5x=810
6x=810
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]
Putting x=135 in Eqn 2
y = 5(135)
y = 675
Hence,
Number of boys = 675
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
Sun estimated the quotient of -23.514 and -3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?
-23.514÷-3.98
O -24÷-4=6
O -24÷4=-6
O 24÷3=8
O 24÷-3=-8
Answer:
A
Step-by-step explanation:
because if you are rounding to the nearest integer that means that -23.514 would be -24 and -3.98 would be -4 and negative divided by a negative is a positive
Answer:
A
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
Game Stop is selling a video game for 15% off $35 . What is the sale price ?
Answer:
29.75
Step-by-step explanation:
5% of 35 is 1.75 so 1.75 times 3 equals 5.25, 35 - 5.25 = 29.75
please help me i’ll mark brainliest, comment, and rate 5 stars
Answer:
c...........................
please solve question in picture branoist to first and correct
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:
[tex]6y-2y+8y[/tex]
All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
[tex]6y-2y+8y[/tex] = 12y
Hence,
The correct answer is Option 3: 12y
The blue segment below is a radius of OO. What is the length of the diameter
of the circle?
Answer:
B. 21.2 units
Step-by-step explanation:
10.6 x 2 = 21.2
The radius of a circle is 2 feet. What is the circle's area?
r=2 ft
Use 3.14 for .
square feet
Answer: 12.57
Step-by-step explanation:
What are the slope and y-inyercept of the line 4y=-x-32
First you'll have to bring the equation in form y = mx + b.
4y = -x - 32
y = -1/4 x - 8
So the slope is -1/4 and y-intercept is -8
Hope this helps :)
Questions you may have-
How did you change it to y = mx + b form?
Divide 4 on both sides to isolate the y
Answer:
slope: 1/4
y-intercept: (0,8)
Change 8 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes
Answer:
08:00
Step-by-step explanation:
Answer:
8:00
Step-by-step explanation:
12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00
can someone help me with this also? Thanks! i need the explanation to so I can do it by myself after.
Find the Error A student solved the equation and determined that the solution was –2. Choose the response that shows her error and corrects it.
Multiple choice question.
A)
There is no error, her answer is correct.
B)
The initial equation simplifies to 3x = 0, which means that x = 0.
C)
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
D)
The equation –2 = –2 is always true, so every value of x will make the equation true. The correct solution of the equation is infinitely many solutions.
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.
Here,
The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.
To know more about equation,
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What is an equation of the line that passes through the point
(
1
,
7
)
(1,7) and is parallel to the line
3
x
−
y
=
1
3x−y=1?
Step-by-step explanation:
We wish to express 3x - y = 1
in slope-intercept form.
3x - y = 1
=> y = 3x - 1
Slope of line = 3, therefore
Slope of parallel line is also 3.
We have y = 3x + c.
When x = 1, y = 7.
=> (7) = 3(1) + c, c = 4
Hence the answer is y = 3x + 4.
2x + 3y = 2
y = {x+3
The solution of the system is (-2,2)
Step-by-step explanation:
a solution is a system of equations intersecting.
on the graph you can see that the lines intersect at (-2,2)
HELP PLEASE SUE TODAY
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3
All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1
a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?
Answer:
a) For Pawnee:
Range = 11, Mean = 3.13, Mean deviation = 2.44
For Chickpee:
Range = 7, Mean = 4.25, Mean deviation = 1.59
b) Pawnee Location has fewer lost days.
c) variation of the Chickpee is less than Pawnee location
Step-by-step explanation:
Data given:
For Pawnee:
3 1 0 0 2 11 5 3
Max = 11
Min = 0
Range = Max - Min
Range = 11-0 = 11
Range = 11
For Chickpee:
3 6 8 4 4 5 3 1
Max = 8
Min = 1
Range = Max - Min
Range = 8 - 1
Range = 7
For mean of Pawnee:
Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8
Mean = 25/8
Mean = 3.125
For mean deviation, we find the difference from the mean of each point.
Note: all the negative values will be taken as 0.
Differences from the mean of each point =
(3-3.13)=0.13, (1-3.31) = 2.13 ,
(0-3.13)=0, (0-3.13)=3.13,
(2-3.13)=1.13, (11-3.13)=7.87,
(5-3.13)=1.87, (3-3.13)=0.13
So, our differences are:
(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )
Mean deviation = Sum of all differences/8
Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8
Mean deviation = 2.44
For mean of Chickpee:
Mean = (3+6+8+4+4+5+3+1)/8
Mean = 34/8
Mean = 4.25
Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.
Note: all the negative values will be taken as 0
Differences from the mean:
(3-4.25) = 1.25, (6-4.25) =1.75,
(8-4.25) = 3.75, (4-4.25)=0.25,
(4-4.25)=0.25, (5-4.25)= 0.75,
(3-4.25)=1.25, (1-4.25) =3.25
So, the differences are:
Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)
Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8
Mean deviation = 1.59
b) which location has fewer lost days:
This can be found out by the total number of days of Pawnee and chickpee.
Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days
Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days
Hence, Pawnee Location has fewer lost days.
C) which location has less variation?
Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])
where x = values of the set.
For Pawnee:
[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8
Sum of square of all the data points of Pawnee = 169
Variation = 169/8 - 98 = 11.325
Similarly,
For Chickpee:
[tex]mean^{2}[/tex] = [tex]4.25^{2}[/tex] = 18.06
Sum of square of all the data points of Chickpee = 176
Variation = 176/8 - 18.06
Variation = 22-18.06
Variation = 4
Hence, variation of the Chickpee is less than Pawnee location
Is the following equation proportional or non-proportional?
y = .2x
Answer:
It is a non -proportional equation
Which number line shows 1 to 4 divided into fifths?
Answer:
Second option!!!
Step-by-step explanation:
Hope it helps you:)
Solve
for x
2(2x + 1) -10=4
Help please and thank you
Answer: 3
Distribute
Subtract the numbers
Simplify
Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
Answer:
$360
Step-by-step explanation:
I = Prt
I = 4000 * 3 * 3%
I = 12000 * 3% (Convert 9000 and 3% into fractions.)
I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)
I = 120/1 * 3/1 (Disregard the over 1 portion.)
I = 120 * 3 (Multiply 120 by 3 to get 360.)
I = $360
Write the answer in simplest form 3/8 + 1/6
Answer:
13/24
Step-by-step explanation:
3/8+1/6=9/24+4/24
Answer:
13/24
Step-by-step explanation:
3/8 + 1/6 - (3/3 x 3/8) + (4/4 x 1/6) - 9/24 + 4/24 - [tex]\frac{9+4}{24}[/tex] = 13/24
given the segments as shown for what value of x is the figure a rectangle
A. 5.
B. 7
C. 3
D. 9
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Required
Determine the value of x
The diagonals of a rectangle are equal.
So:
[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]
[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]
[tex]3x + 3 = 7x -25[/tex]
Collect Like terms
[tex]3x-7x=-25-3[/tex]
[tex]-4x=-28[/tex]
[tex]x = \frac{-28}{-4}[/tex]
[tex]x = 7[/tex]
Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.
P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4
Express in the form 1:n
Give n as a fully simplified fraction.
12:2
Answer:
divide 12
12/12 : 2/12
1 : 2/12
1 : 1/6
n=1/6
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?
Answer:
6.5
Step-by-step explanation:
Answer:
y≈15840
Step-by-step explanation:
Exponential Functions:
a=starting value = 14000
r=rate = 2.5%=0.025
Exponential Growth:
b=1+r=1+0.025=1.025
Write Exponential Function:
put it all together-
y=14000(1.025)^x
Plug in time for x:
y=14000(1.025) ^5
Evaluate-
y=15839.71498
round-
y≈15840
Over Fall break, Tory read 5 times as many pages as her brother and sister combined. Tory read 1840 pages and her brother read 200 pages. How many pages did her sister read? Write an equation and solve for the number of pages her sister read.
Answer
368
Step-by-step explanation:
1840÷5=368
Answer:
170,
Step-by-step explanation:
my explanation is commented on the other persons answer
3.
5y + 3y for y = 2
Answer:
16
Step-by-step explanation:
You plug in the value of y into the expression:
5(2) + 3(2)
10 + 6 = 16
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
Pls help urgently extra points and mark brainlist
Answer:
The one with the 2 and the 6 up in the right corner....
Step-by-step explanation:
6). To make trail mix you need 2
cups of raisins for every 3 cups
of almonds. How many cups of
raisins are needed for 12
cups of almonds?
Answer:
[tex]\boxed {\boxed {\sf 8 \ cups \ of \ raisins }}[/tex]
Step-by-step explanation
Let's create a proportion using this setup.
[tex]\frac{raisins}{almonds} =\frac{raisins}{almonds}[/tex]
We know that 2 cups of raisins are needed for 3 cups of almonds.
[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{raisins}{almonds}[/tex]
We don't know how many cups of raisins are needed for 12 cups of almonds. Therefore, x cups of raisins are needed for 12 cups of almonds.
[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{x \ cups \ raisins}{12 \ cups \ almonds}[/tex]
[tex]\frac{2 }{3} =\frac{x }{12 }[/tex]
Since we are solving for x, we must isolate that variable. It is being divided by 12. The inverse operation of division is multiplication. Multiply both sides of the proportion by 12.
[tex]12*\frac{2 }{3} =\frac{x }{12 }*12[/tex]
[tex]12*\frac{2 }{3}=x[/tex]
[tex]8=x[/tex]
8 cups of raisins are required for 12 cups of almonds.
The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary
Answer:
On my screen the answer would be A
Step-by-step explanation:
but it could be different for u but I found the answer on Quizizz picture down below
The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Calculation of the graph model;Since
The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.
So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
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