Answer: 330 pupils
Step-by-step explanation:
the number of pupils are in the lower school
= (1- 1/5 - ¼) × 600
= (20/20 - 4/20 - 5/20)×600
= (11/20) ×600
= 330 pupils
Selma's house is 1,450 cm long. How many meters
long is Selma's house?
Answer:
14.5 Meters
Step-by-step explanation:
1 centimeter= 0.01 Meters
1450 cm x 0.01 =14.5
find the value of "w" that makes this quadrilateral a parallelogram.
Answer:
w=7
Step-by-step explanation:
A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0
9w=63
w=7!!!
and we can double check.
16w-81=15w-74
16w=15w+7
w=7
If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
What are trigonometric functions?Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
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For a science project, billy observed a chipmunk and a squirrel stashing acorns in trees. the chipmunk hid 3 acorns in each tree. the squirrel hid 4 acorns in each tree. they each hid the same number of acorns, although the squirrel needed 2 fewer trees. you are going to investigate the number of acorns that each animal hid.
The number of acorns that each animal hid is 48
What is an Equation ?An equation is formed when two algebraic expressions are equated by an equal sign.
It is asked to calculate the number of acorns that each animal hid.
Total number of acorns hid = number of acorns hid per tree * number of trees
Let T be the number of trees chipmunk used
For chipmunk: = 3*T
For squirrel: = 4*(T-4)
As both the animals hid same number of acorns.
3T = 4(T-4)
3T = 4T - 16
16 = T
Therefore the chipmunk hid 16 * 3 = 48 acorns
and the squirrel hid 4(16-4) = 48 acorns.
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Write the following as algebraic expressions. r decreased by 3
Answer:
r - 3
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
Think about it. "decreased by". If we decrease a number by another number, what happens to the first number?Here we decrease the variable "r" by 3.
Remember, variables always represent some number.
Let's think about it this way...
///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\
So we have a number r, and we decrease it by 3.
Now its value is less than the original value.
We subtracted 3 from the original value of r, and now its value is less than the original one.
Thus, "decreased by" is the same as "subtracted" in mathematics.
r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
Graph x > -1 on the number line
Number Line:
Closed Circles are used when signs are "≤" or "≥"
Open Circles are used when signs are "<" or ">"
The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"
Graph should look like this:
Martin order a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?
A - 50 inches
B - 113 inches
C - 201 inches
D - 452 inches
Answer:
B. -113 inches
Step-by-step explanation:
First you have to find the radius of the two pizzas. The radius is half of the diameter. So, the first pizza would have a radius of 8 inches, since 8 is half of 16. The second pizza would have a radius of 10 inches, since 10 is half of 20. Then you would use the area formula to find the area of the two pizzas. The area formula is A=3.14R^2. The area of the first pizza is 201.06. The area of the second pizza is 314.16. Then you subtract those two numbers to get -113.1. The answer is -113 inches.
9(w – 4) – 7w = 5(3w – 2)
Answer:
-2 =w
Step-by-step explanation:
9(w – 4) – 7w = 5(3w – 2)
The first step is to distribute
9w -36 - 7w = 15w -10
Combine like terms
2w -36 = 15w -10
Subtract 2w from each side
2w -36 -2w = 15w-10-2w
-36 = 13w -10
Add 10 to each side
-36+10 =13w-10+1-
-26 = 13w
Divide by 13
-26/13 =13w/13
-2 =w
What is the value of the underline digit?
119.65
In a class there are two girls for every three boys. The ratio 2 : 3 compares the
number of girls to the number of boys.
a) What is the ratio of boys to the whole class? - 3:5
b) If this class has eight girls, determine how many boys there are using the ratio that there are two girls for every three boys
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
please help... Identify the shape of a cross section of the cone below.
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
True or false? The graph represents a function
Answer:
true
Step-by-step explanation:
The statement is true because every graph associated a unique x-value for each y - value
Which expression is equal to p + (q + r)?
(p + q) ⋅ r
(p + q) + r
p + qr
q + pr
Answer:
(p + q) + r
is the correct answer
40 is 20% of what number? I don’t understand and need a strp by step:(
Answer:
200
Step-by-step explanation:
20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200
Answer:
200
Step-by-step explanation:
40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20
it would help to set up proportions like:
40 20
/ =
x 100
and cross multiply and divide.
The equation y - 5 = 6(x+1) is written in point-stope form. What is the equation written in slope-intercept form?
A. y = 6x + 11
B. y = 6x - 1
C. y = 6x - 4
D. y = 6x + 6
Answer:
A
Step-by-step explanation:y-5=6(x+1)
y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11
what is the simple interest of $16000 interested for 5 years at 4% p.a?
Answer:
3200
Step-by-step explanation:
Simple interest = PRT/100
= (16000 × 5 × 4%\)/100
= 320000/100
= 3200
Is y=2x-3 a funtion?
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.
Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]
[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
Calculate the volume of a cube of length 8 m
Answer:
V =512 m^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 8^3
V =512 m^3
How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%
Answer:
A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.
What is the percentage of 0,4(That is a decimal fraction)
Answer:
0.4= 4/10= 2/5
Step-by-step explanation:
The first decimal place after the point represent the place holder "tenth's"
0.4 = 4/10
This can simply to 2/5
Hope it will help:-)
2 over 5
Step-by-step explanation:
0.4=4 over 10 simplify=2over5
You have one cubic mile of water. you release it at 1000 gallons per
minute. how long will it take to empty??
It will take 764664.6875 days to empty the water
How to determine the time to empty?The given parameters are:
Volume = 1 cubic mileRate = 1000 gallons per minutesThe time is calculated as:
Time = Volume/Rate
So, we have:
Time = 1 cubic mile ÷ 1000 gallons per minute
Convert gallons to cubic mile
Time = 1 cubic mile ÷ (9.0817e-13 * 1000) cubic mile per minute
Divide
Time = 1.10111715 × 10^9 minute
Convert to days
Time = 764664.6875 days
Hence, it will take 764664.6875 days to empty the water
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A cone has a height of 15 feet and a radius of 11 feet. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic feet?
Answer: 1899.70 cu ft
Step-by-step explanation:
Cone volume = 1/3 TT r^2 h
V= (1/3) (3.14) (11^2) (15)
V=1899.70 cu ft
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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Gabby is a makeup artist and carries a lot of makeup around with her. she has 20 cosmetics in her bag, including 4 eye shadows. what is the probability that a randomly selected makeup item from her bag will be an eye shadow? write your answer as a fraction or whole number.
The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.
The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.
There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:
P(eye shadow) = 4/20 = 1/5
This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.
The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.
We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.
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A van can ferry a maximum of 12 people.By setting up an inequality , find the minimum number of vans that are needed to ferry 80 people.
Answer:
Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people
Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.
Now 12 people can go in 1 bus.
Therefore 1 person can go in 1/12 bus
Now 1 person can go in 1/12 bus
Therefore 80 people can travel in 1/12 x 80
= 6.6
= 7
Therefore minimum buses needed will be 7
Now we can write inequality as 12 x x > = 80
Or x ≥ 80 / 12
or x > = 6.6
Step-by-step explanation: Hopes it help
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What is 1 2/3 multiple 2/3
Answer:
[tex]1\frac{1}{9}[/tex]
Step-by-step explanation:
Given the following question:
[tex]1\frac{2}{3} \times\frac{2}{3}[/tex]
In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.
[tex]1\frac{2}{3} =3\times1=3+2=\frac{5}{3}[/tex]
[tex]\frac{5}{3} \times\frac{2}{3}[/tex]
[tex]5\times2=10[/tex]
[tex]3\times3=9[/tex]
[tex]=\frac{10}{9}[/tex]
Convert the improper fraction into a mixed number:
[tex]\frac{10}{9}[/tex]
[tex]\frac{10}{9} =10\div9=1\frac{1}{9}[/tex]
[tex]=1\frac{1}{9}[/tex]
Your answer is "1 1/9."
Hope this helps.
Marc is trying to determine how many blue marbles are in a bag of `100` marbles. he can only fit `10` marbles in his hand at a time. he takes `11` samples of `10` marbles, returning the marbles to the bag each time. based on these results, how many of the `100` marbles do you expect are blue
Based on the result from the box plot, the number of blue marbles is equal to the median of the data set and this is equal to 40.
What is a boxplot?A boxplot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:
MinimumFirst quartileMedianThird quartileMaximumFor this exercise, we would create a box plot (see attachment) for the marbles in a bag of 100 marbles. By critically observing the box plot, we can logically deduce that the number of blue marbles is equal to the median of the data set and this is given by:
Median = 4 × 10
Median = 40.
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2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?
Answer:
$156.96
Step-by-step explanation:
10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)