The maximum amount of water that can be used by each house on a daily basis is 100 liters.
How to calculate the amount of water?From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.
The maximum amount of water that can be used by each house on a daily basis will be:
4500 = 40x + 500
40x = 4500 - 500
40x = 4000
x = 4000/40
x = 100
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You conduct a survey that asks 350 students in your class about whether they prefer pizza or chicken for school lunch. One hundred eighty-nine males respond, 95 of which prefer pizza. Fifty-two females prefer the chicken. Part A: Organize the results in the two-way table provided. Male Female Total Pizza Chicken Total 189 161 350 Part B: What percent of females like the pizza?
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Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years.
Enter an equation that can be used to find Jeremy's age (x).
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:1
Step-by-step explanation:
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 16HELP! PLEASE! I will mark you brainalist!!!!!
Answer:
Step-by-step explanation:
Problem a
a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.
The top angle = x
x + 70.5 + 70.5 = 180 All triangles have 180 degrees.
x + 141 = 180 Subtract 141 from both sides
x + 141-141 =180 - 141 Combine
x = 39
c + 39 + 87.2 =180 Combine the left
c + 126.2 = 180 Subtract 126.2 from both sides
c+126.2-126.2 = 180-126.2
c = 53.45
Answer: 53.45
Problem B
Comment
Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.
Supplement of 115.6
Call the supplement = y
y + 115.6 = 180 Supplementary angles = 180 degrees
y +115.6-115.6 = 180 - 115.6 Combine
y = 64.2
Now we need the supplement of 99.9
Call the supplement = z
z + 99.9 = 180 Supplementary angles = 180
z+99.9-99.9 = 180-99.9
z = 80.1
Now subtract y + z from 180
180 - 64.2 - 80.1 = x
x = 35.7
x is opposite d
d = x
d = 35.7 degrees.
Answer
d = 35.7
2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5
Explanation:
If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.
This means we'll set the angles equal to one another and solve for x.
angle1 = angle2
40-4x = 50-8x
-4x+8x = 50-40
4x = 10
x = 10/4
x = 2.5
One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.
Find the missing length
Apply Pythagorean theorem
H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
[tex]2.75[/tex]
Step-by-step explanation:
Step 1: Determine the median
[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: [tex]2.75[/tex]
A four-sided figure is resized to create a scaled copy.
Answer:
2/9 or 9/2
Step-by-step explanation:
The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)
If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.
Hope this helps! :)
An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's assume the exponential growth is:
[tex]\rm y = Ae^{rt}[/tex]
From the problem:
[tex]\rm 130 = 20e^{5r}[/tex]
[tex]\rm e^{5r}= 6.5[/tex]
Taking ln both side:
We get:
r = 0.374
[tex]\rm 5000 = 20e^{0.374t}[/tex]
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
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please help me i don't understand
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answer:
v=2143.57
Step-by-step explanation:
4/3 x 3.14 x 8³
3.14 x 512 x 4/3
3.14 x 512=1607.68
1607.68 x 4/3=2143.57333333
round to nearest hundreth
v=2143.57
Answer:
V ≈ 2143.57= 2144
Step-by-step explanation:
[tex]v=\frac{4}{3} *3.14*8^3[/tex]
=2143.57333333
you dont need to round, so!
=2144 (if you want)
sorry for the confusion
Which expression is not equivalent to −4x3+x2−6x+8?
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)From the given expression, if we take out x from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
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Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Answer:
D. Coal.
Step-by-step explanation:
Doesn’t really affect the earth in any way.
Find the measure of
Answer:
Angles around a point sum to 360°
⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°
⇒ ∠SPT + ∠TPU = 60°
Therefore:
∠SPQ clockwise = ∠SPT + ∠TPU + 86°
= 60° + 86°
= 146°
∠SPQ anticlockwise = 60° + 154°
= 214°
Answer:
See below ~
Step-by-step explanation:
The total internal measure is 360°.
154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°Finding ∠SPQ (clockwise):
2∠STP + 86°2(30) + 86146°Finding ∠SPQ (counterclockwise) :
360° - 146°214°If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%
solution for this one step by step please
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
Anybody know this? Please and thankyou!
Answer:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Step-by-step explanation:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Is q = 5 a solution to the inequality below? q ≤ 8
Answer:
brainly please
Step-by-step explanation:
yes because 5 is less than 8
Answer:
No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)
Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.
How many different combinations of 3 toppings can be made from the 12 options?
Answer:
36 different combinations
A typical MRE contains 1250 calories. If the average soldier eats 3 MREs per day and is deployed for 36 weeks, approximately how many calories will be consumed by a 40 member platoon of soldiers?
Answer:
30240
Step-by-step explanation:
3x7x36x40 I hope this helps
Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5
Step-by-step explanation:
4x-1
x+-×+1=5
×-5
there are no terms like that
find tan0 please help fast!
Answer:
Tan(51.06) = 1.24 so the correct answer is A
Step-by-step explanation:
Sin0 = 7/9
0 =Arcsin(7/9)
0 =51.06
So,
Tan(51.06) = 1.24 so the correct answer is A
Answer:
A. [tex]\frac{7\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Finding the missing side :
7² + x² = 9²
x² + 49 = 81
x² = 32
x = 4√2
Taking the tan value :
tanθ = 7/(4√2)
tanθ = 7(4√2)/4√2(4√2)
tanθ = 28√2/32
tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375
If f(x) = 2x − x² + 3, find f(x − 4).
Answer:
−x^2+10x−21
Step-by-step explanation:
Hope this helped you! If this is wrong, please tell me and have a good day!
And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?
Answer:
Step-by-step explanation:
Discussion
This is a proportion question. A proportion is 2 ratios separated by an equal sign.
If you know three of the components you can solve for the fourth.
Givens
28.1 % are females
42000 are female doctors.
100% is what is required.
Equation
28.1% / 100% = 42000 / x Cross Multiply
28.1 * x = 42000 * 100 Combine
28.1 * x = 4200000 Divide by 28.1
28.1/28.1 x = 4200000/28.1
x = 149466 is the total doctors
Answer
149366 is the total number of doctors.