If a school room is 32 metres long and 11 metres wide, how many boy will it accommodate allowing 8sq. metres to each boy? A. 56 boys B. 54 boys C. 44 boys D. 36 boys E. 34 boys
Answers
Answer:
\(\huge\boxed{\sf 44\ boys}\)
Step-by-step explanation:
Area of rectangle:= Length × Width
Given data:Length = 32 m
Width = 11 m
Solution:Area of school room:
= Length × Width
= 32 × 11
= 352 m²
Number of boys to accommodate 8 sq. meters:= 352 / 8
= 44 boys\(\rule[225]{225}{2}\)
Related Questions
What is the Recursive relation of 1,1,5,17,71,247…
Answers
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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Oliver incorrectly states that the expression tan(3pi/4 + x) can be simplified as -1. Review Oliver’s work. Which statement explains why Oliver is incorrect?
Keyword gibberish:
The expression does not simplify not have a value if simplified to not equivalent to not
tan startfraction 3 pi over 4 endfraction + x
Answers
We want to see where Oliver is making a mistake in his claim.
The correct option is the first one, the simplification on the last step is wrong.
We start with the expression:
\(tan( \frac{3*pi}{4} + x)\)
Now, by looking at Olvier's work, we can see that on the last step he writes:
\(\frac{-1 + tan(x)}{1 + tan(x)} = -1\)
This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:
\(\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1\)
Then the correct option is the first option.
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Express each ratio as a fraction in its simplest form 6 minutes to 1 hour
Answers
Answer:
1:10
Step-by-step explanation:
1 hour is 60 minutes, so the ratio is 6:60.
To simplify, divide both sides by 6.
Thus, you get:
1:10.
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $
If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?
Reminder: There are 52 weeks in a year.
Answers
The total value of the prize is $936,000.
The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.
What is the total value of the prize?The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:
= $900/week x 52 weeks/year x 20 years
= $936,000.
How much money is needed to put into the account?We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r
Plugging in the values:
PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154
PV = $900 x 657.221075423
PV = $591,498.968.
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Solve for x:
(x+4) = 7.(1 point)
2
Ox=3
Ox=5
Ox=6
O x = 10
Answers
Answer:
A
Step-by-step explanation:
So we have the equation:
\(x+4=7\)
To solve for x, subtract 4 from both sides:
\((x+4)-4=(7)-4\)
The left side cancels. Subtract on the right:
\(x=3\)
So, the value of x is 3.
And our answer is A.
And we're done!
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Answers
Answer:
Step-by-step explanation:
there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!
A team of researchers is testing the effectiveness of a new HPV vaccine. They randomly divide the subjects into two groups.
Group 1 receives a placebo, and Group 2 receives new HPV vaccine.
The patients in the study do not know which group they are in.
Which is the treatment group?
Group 1
Group 2
Neither group
Correct
Answers
Answer:friends
Step-by-step explanation:
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Answers
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Name each type of special quadrilateral that can meet the given condition.
exactly one pair of congruent sides.
Choose the correct answer below.
Trapezoid
parallelogram and kite
trapezoid and isosceles trapezoid
isosceles trapezoid
kite and isosceles trapezoid
Answers
7. Identify the axis of symmetry of the parabola.
y = -1
-8-6-4 P
-2/
X = 1
X = -1
y4
8
y = 1
6-
4-
2+
CO
+
4 68 X
Q
Answers
Answer:
The answer is y=-1 (answer is C).
Is this correct way to solve the problem?
5(2x-2)=30
10x-1030
10x=30+10
10x=40
(-10x)=(40)
x=-4
help me plz
Answers
Answer:
10x=40
x=40/10
x=4
4 is the answers, not -4
Step-by-step explanation:
pls mark as brainliest
SHOW WORK. Algebra question 100 POINTS! Easy
Answers
\((4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}\)
Answer:
C. 96x⁷Step-by-step explanation:
(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷Your choice is correct
c or b???????????????
Answers
Answer:
i think it's b4
Step-by-step explanation:
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answers
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
Answers
Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answers
Answer:
7:4 that would be the ratio
3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answers
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
Answers
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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ILL GIVE BRAINLIEST
ILL GIVE BRAINLIEST!
Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirror
images of each other?
Α. 0
B. 1
C. 2
D. 3
Answers
Answer: He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.
Hope this helped!
Please give brainliest!
What is the missing value in the ratio table below?
6 10
9 15
18 ?
A.
3
B.
30
C.
5
D.
45
Answers
Answer:
B.30
Step-by-step explanation:
Make a table and do ten divided by 10 to get 1 and divide 6 by 10 to get 0.6 then do 18 divided by 0.6 to know what to multiply by to get to eighteen which ends up being 30
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 280 minutes, the monthly cost will be $127. If the customer uses 750 minutes, the monthly cost will be $291.5.
A) Find an equation in the form y=mx+b where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan. Answer: y=
B) Use your equation to find the total monthly cost if 910 minutes are used. Answer: If 910 minutes are used, the total cost will be dollars.
Answers
A) the equation is y=(1/5)x+71. and B) If 910 minutes are used, the total cost is $253.
What is equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
The given points are, (280,127) and (750,291.5)
Then slope = (291.5-197)/(750-280) = 94.5/470 = 1/5
y = mx + b
Solve for "b"::
127 = (1/5)280 + b
=> b= 71
Then the equation is y=(1/5)x+71.
Now total minutes is x=910 then
=> y=(1/5)910+71
=> y=182+71 = $253
Hence A) the equation is y=(1/5)x+71. and B) If 910 minutes are used, the total cost is $253.
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what is the equation of the line that passes through the point (-2,0) and has a slope of -2?
Answers
Answer:
so the equation is y=-2x-4
Step-by-step explanation:
sub the points in the equation to find the y-intercept
y=x(-2)+b
0=-2(-2)+b
0=4+b
0-4=b
-4=b
How are the triangles similar PLEASEEE HELPPPPPPP
Answers
Answer:
AA similarity postulate
Hope this helps you. Do mark me as brainly.
What is the percentage form of 49/58?
Answers
Answer:
84.4%
Step-by-step explanation:
9 divided by 58 = 0.844.
Next, multiply 0.844 by 100 for the percentage
0.844x100 = 84.4%
Answer:
84.48%
Step-by-step explanation:
Convert 49/58 to Percentage by Converting to Decimal
With this method, we first need to divide the numerator by the denominator:
49 ÷ 58 = 0.8448275862069
We can see that this gives us the exact same answer as the first method: 49/58 as a percentage is 84.48%.
Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.
Reshma reaches her college in 1 hour 15 minutes from home by
driving her car at 50 km/h. How far is her college from home?
Answers
Answer:
62.5 km
Step-by-step explanation:
50÷4 =12.5
15 is 1/4 of 60
so then you add 50 + 12.5= 62.5
mariana averaged 71 on her first three exams. the first score was 69 and the second score was 2 less than the third score. what did she score on the second and third exam
Answers
Answer:
2nd: 71 3rd: 73
Step-by-step explanation:
if mariana averaged 71 on her first three exams, it means in total, she scored 71*3 (213 points). since mariana scored 69 for her first exam, the other two exam scores must be 213-69 (144).
using systems of equations, we can identify two equations:
x is the first test, y is the second test, so x<y
x+y=144
x-y=-2
2y=144-(-2)
2y=146
y=73
if you plug in y (73), you can solve for x
x+73=144
x=144-73
x=71
I need help I need help again
Answers
Answer:
It would be D
Step-by-step explanation:
The first answer rounded to the nearest 10th is 2,341.75
The second answer rounded to the nearest 10th is 2,241.76
The third answer rounded to the nearest 10th is 2,341.77
The fourth answer rounded to the nearest 10 is 2,341.78
Answer:
It will be 2,341.779
Step-by-step explanation:
Because 9 is bigger than 5 it will rounded up. So 7 will be rounded to 8.
At the market, 8 apples cost $4. How much do 9 apples cost?
Answers
Answer:
4.5
Step-by-step explanation:
Answer:
Look at Screenshot
WHICH TWO FUNCTIONS REPRESENT EXPONENTIAL DECAY?
Answers
Answer:
maybe third and first? ıdk :((
Answer:
first and third kind of two functions represent exponential decay.