The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength? *
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Explanation:
If there were 7 boys and 5 girls, then we'd have the ratio of 7:5. The boys are listed first because of how your teacher mentions boys first to set up the ratio. The order is important. That means 7:5 is different from 5:7.
With 7 boys and 5 girls, we see that there are 7-5 = 2 more boys compared to girls, and not 8. The jump from 2 to 8 is "times 4", which means we'll need to multiply each gender count by 4 to get to the class size we want
boys: 7 ---> 7*4 = 28
girls: 5 ---> 5*4 = 20
Having 28 boys and 20 girls will lead to the ratio 28:20, and it reduces fully to 7:5 when we divide both parts by the GCF 4.
The total number of students is 28+20 = 48
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Here's another way we can solve.
x = number of girls
x+8 = number of boys, since there are 8 more
The ratio of boys to girls is 7:5, meaning,
(number of boys)/(number of girls) = 7/5
(x+8)/x = 7/5
(x+8)*5 = x*7 .... cross multiply
5x+40 = 7x
40 = 7x-5x
40 = 2x
2x = 40
x = 40/2
x = 20
There are x = 20 girls and x+8 = 20+8 = 28 boys. So 20+48 = 48 total.
What is the domain of the function F(x) = 2 cos(3x - 1)?
A. [-2, 2]
B. [-1, 1]
C. All real numbers
D. [-3,3]
Answer:
All real numbers
Step-by-step explanation:
In this figure please see questions
Answer:
15,700
Step-by-step explanation:
The formula is 3.14(r^2)h
Hope this helped :)
Chris made a solid by joining two identical rectangular prisms as picture blow. The overall dimensions of the composite solid are 20 centimeters (cm) by 18 centimeters by 15 centimeters. What is the surface area, in square centimeters, of a single prism?
PLEASE, don’t answer if you don’t know the answer to the question. Whoever answers correctly will get Brainliest!
Answer:
B
Step-by-step explanation:
Base area = (base x width) = 20 x 18 = 360 cm^2
Base perimeter = (base + width) x 2 = (20 + 18) x 2 = 76 cm
lateral surface = (base perimeter x height) = 76 x 15 = 1140 cm^2
Surface area = (base area x 2) + lateral surface = (360 x 2) + 1140= 1860 cm^2
surface area of a single prism = 1860 / 2 = 930 cm^2
Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?
Work out
m
and
c
for the line:
y
=
9
x
Answer:
Find answers below.
Step-by-step explanation:
The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.
Scenario 1;
y = 9 + x
Mathematically, the equation of a line is given by the formula;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Comparing the two equations, we have;
y = mx + c = 9 + x
Constant, c = 9
Slope, m = 1
Scenario 2.
y = 9 - x
y = mx + c = 9 - x
Constant, c = 9
Slope, m = -1
what is the equation of four less thrice a number and two will result to forty six
Answer:
4 - b x 2 = 46
Step-by-step explanation:
5 + 23 ÷ 4 = Which operation would you do first:
A: Addition
B: Exponents
C: Division
LINKS WILL GET REPORTED
the width of a rectangle is 2 m less than the length. if the area of the rectangle is 48sq meters. what is the length and width
Find an equivalent expression 3xy + 4x + 8 + (-2)
Answer:
3 x y + 4 x + 6 and x (3 y + 4) + 6
Step-by-step explanation:
Sahil is 3/4 foot taller than Charlie. Charlie is 5 1/8 feet tall. Which equation can be used to find Sahil’s height, h ?
A. 3/4 + h= 5 1/8
B. 3/4 - h= 5 1/8
C. 5 1/8 + 3/4= h
D. 5 1/8 - 3/4= h
Answer:
Step-by-step explanation:
C. 5 1/8 + 3/4 = h
Since Charlies heigh is 5 1/8 feet tall. It says Sahil is 3/4 foot taller then Charlie. So 5 1/8 + 3/4 = Sahil height
A shop has a sale of 15% off all items in stock.
If the original price of a dress is £40 what would be its sale price?
Answer:
The sale price is 34 euros.
Step-by-step explanation:
40 * .85 (100% - 15% = 85% or .85) = 34
PLSS HELP WILL GIVE BRAINLIEST TIMED QUESTION
What is m
Answer:
Step-by-step explanation:
The answer is 46
Find the missing angle measure. Round to the nearest degree. cos 0 = 0.9563
The measure of the missing angle is 17 degrees.
Cosine as an example of trigonometric functions.Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.
Now considering the given question, we are to find the measure of the missing angle. We have;
cos θ = 0.9563
where θ is the missing angle the value of which is to be determined.
Thus, divide both sides of the expression by cos to have;
cos θ/ cos = 0.9563. cos
θ = cos^-1 0.9563
θ = 17.0 degrees
Therefore, the value of the missing angle is 17 degrees.
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The sum of two numbers is 52. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
36 and 16
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.
Type the correct answer in the box. Use numerals instead of words.
A jar contains 3 blue marbles and 2 red marbles.
A marble is randomly selected from the jar and replaced, and then a second marble is chosen.
The probability that a blue marble was chosen both times is _____%.
The probability that a blue marble was chosen both times is 60%.
We have given that,
Type the correct answer in the box. Use numerals instead of words.
A jar contains 3 blue marbles and 2 red marbles.
A marble is randomly selected from the jar and replaced, and then a second marble is chosen.
What is the random probability?The probability distribution for a random variable describes how the probabilities are distributed over the values of the random variable.
3+2=5.
3/5 is the blue marble.
You may also say 6/10.
It is likely you will pull out a blue marble.
0.6×100=60
Therefore, The probability that a blue marble was chosen both times is 60%.
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Answer:
The ANSWER on top is WRONG
the correct answer is 36%
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
does anyone know what this is?!?! describe the transformation that occurs
Answer: see below...
Step-by-step explanation:
1. Reflection across the y axis.
2. Translation by a vector (0, -6): 0 units to the right/left, 6 units down.
Answer:
Step 1 is a reflection across the y- axis.
Step 2 is a translation 6 units down.
Step-by-step explanation:
Please help me with this faster if you know please?!!!
Answer:
22%
Step-by-step explanation:
************************************
Answer:
81%
Step-by-step explanation:
The total number of Large drinks: 27
The probability that a customer orders a Hot and Large drink if the customer ordered a Large is the ratio of the number of Hot and Large drinks to the number of Large drinks:
22/27 = 0.8148 = 81.48%
A manufacturer of all-in-one printers is concerned that the warranty costs for a particular printer model exceed the amount expected by the company. Based on a review of completed warranty claims, the distribution of the warranty cost per claim is skewed to the right with mean $150 and standard deviation $50. A random sample of 25 completed warranty claims is selected, and the sample mean cost is recorded. Suppose the process of selecting a random sample of 25 completed warranty claims and recording the sample mean cost is repeated for a total of 100 samples. Which of the following best describes a dotplot created from the 100 sample means?
(A) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $25.
(B) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $50.
(C) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $100.
(D) The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
(E) The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $50.
Answer: D. The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
Step-by-step explanation:
Based on the dotplot created from the 100 sample, the dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
The mean of the sampling distribution is just exactly like the population mean. On the other hand, the standard deviation will be: = 50/✓25 = 50/5 = 10
Therefore, the correct option is D.
the length of a rectangular frame is 15 inches and the width of 8 inches. what is the length of a diagonal of this Fram inches
Answer:
using the phytogaran theory we get 17 inch as the length of the diagonal
Answer:
sorry just a sec
Step-by-step explanation:
maybe 9?
Using the collected data above what would be a reasonble rough estimate of a ratio of how many cubic inches per orange?
given the farmer's market wanted o use a box that had the dimensions, approximately how many oranges should fit?
The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.
What is volume?In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.
The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.
Given
dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6
volume of box 1 = 20 x 13 x 12 = 3120 cubic inches
volume of box 2 = 1728 cubic inches
volume of box 3 = 20 x 10 x 6 = 1200 cubic inch
oranges in box 1 = 96
oranges in box 2 = 53
oranges in box 3 = 37
and radius of orange = 32./2 = 1.6 inches
volume of each orange = 4/3πr³
volume of each orange = 4/3(3.14)(1.6)³
volume of each orange = 4/3(3.14)(4.096)
volume of each orange = 17.14 cubic inches
here one orange will cover 17.14 cubic inches.
7. let the dimension of box is 15 x 12 x 16
volume of box is = 15 x 12 x 16 = 2880 cubic inches
the number of oranges in box will be 2880/17.14 = 168 oranges
Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.
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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.
i feel like im doing something wrong here it's in order of operation
(3+5)5-20(2+5) when i put it in a calculator it says the answer is 27 but when i work out the problem out i get out 0
We will solve the expression:
(3 + 5)*5 - 20*(2 + 5)
Step by step, and we will get the solution -100.
How to solve the expression?Here we want to solve the following expression:
(3 + 5)*5 - 20*(2 + 5)
The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:
(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)
Now we need to solve the two products, we will get:
(8)*5 - 20*(7) = 40 - 140 = -100
Thus, the solution of that expression is -100.
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Khan Academy Question pls answers only
Answer: 0
Step-by-step explanation:
When x = 6, y = 0 [since the graph passes through (6,0)].;
Which of the following are accurate descriptions of the distribution below? (4 BRAINLIEST!!!)
Choose all answers that apply:
(Choice A)
The distribution has an outlier.
(Choice B)
The distribution has a gap from 20 to 29 states.
(Choice C)
None of the above
Answer:
B
Step-by-step explanation:
w and x are whole numbers.
w < 40
x < 30
Work out the smallest possible value of
W-X
Answer:
W-X/(35-25 = 10)
Step-by-step explanation:
this could be a possibility
Henry believes that if you square the expression x^4 The result will be x^16. Is Henry correct? (Help please)
Find the value of x, if x,3,5 and 15 are proportional,
Answer:
» x : 3 :: 15 : 5
» x = 15
3 5
» x = 15 × 3
5
» x = 3 × 3
» x = 9
Step-by-step explanation:
what fraction of 3 kilograms is 50 grams
Answer:
50/30
5/0
1.6%
Step-by-step explanation:
What is the value of x?
9514 1404 393
Answer:
54
Step-by-step explanation:
The external angle is half the difference of the subtended arcs.
x° = (136° -28°)/2 = 108°/2
x = 54