Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.
The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.
Step-by-step explanation:
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answer:
If there were only 100 students, there would be enough food for 3 days.
Step-by-step explanation:
Set up an equation:
Variable x = number of days
150/5 = 100/x
Cross multiply:
150 × x = 5 × 100
150x = 500
x = 3.3333...
Round down to a whole number which represents a full day of food.
x = 3
Select all expressions that are equivalent to x2 - 4x – 32.
0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)
Answer:
(x + 4)(x – 8)
Step-by-step explanation:
1. (x – 16)(x + 2)
x² - 2x - 16x - 32
x² - 18x - 32
2. (x + 2)(x – 16)
x² - 16x + 2x - 32
x² - 14x - 32
3. (2 – )(x + 4)
2x + 8
4. (x + 8)(x – 4)
x² - 4x + 8x - 32
x² + 4x - 32
5. (x + 4)(x – 8)
x² - 8x + 4x - 32
x² - 4x - 32
6. (x – 4)(x+8)
x² + 8x - 4x - 32
x² + 4x - 32
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
M U N = { 7,8,9,10,11,12,} and M = {7,8,10} then which of the following represent set N
N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)
Given M∪N=(7,8,9,10,11,12)
M=(7,8,10,)
N=[9,11,12] or [7,9,11,12] or [8,9,11,12] or [10,9,11,12] or
[7,8,9,11,12] or [7,10,9,11,12] or [8,10,9,11,12] or [7,8,9,10,11,12]
Inconclusion N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)
Learn more here:
https://brainly.com/question/18877138
The following 5 keys are for the following 5 locked padlocks. Each key opens one and only one padlock. Different keys open different padlocks. What is the least number of trials needed to guarantee that you will open all 5 padlocks?
[tex] {5}^{5} [/tex]
is the answer.
Can someone help me with this ?!! Plz
Answer:
see image
Step-by-step explanation:
The mean age of 6 women in an office is 23 years old.
The mean age of 3 men in an office is 23 years old.
What is the mean age (nearest year) of all the people in the office?
the mean for both mean and women are 23 so the mean of all the people would be the same.
Answer:23
6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft
Answer:
length = 20 ft, width = 11 ft
Step-by-step explanation:
let w be width, then length = w + 9
The opposite sides of a rectangle are equal , then
2w + 2(w + 9) = 62
2w + 2w + 18 = 62
4w + 18 = 62 ( subtract 18 from both sides )
4w = 44 ( divide both sides by 4 )
w = 11
and w + 9 = 11 + 9 = 20
then width = 11 ft and length = 20 ft
Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality
Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
which of the following could be the side length of the right triangle
Answer:
the side lengths of a triangle is exactly 20 degrees
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-10 because you do parenthesis first
Answer:
x = -10
Step-by-step explanation:
3(-2x - 3) + 4x - 3 = 8
~Simplify
-6x - 9 + 4x - 3 = 8
-2x - 12 = 8
~Add 12 to both sides
-2x = 20
~Divide -2 to both sides
x = -10
Best of Luck!
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
A. (−3, 0)
B. (−1, −4)
C. (1, −8)
D. (1, −4)
Answer:
d
Step-by-step explanation:
Heelp ez question, just answer no steps needed
Answer:
i think 16 is the correct answer
Step-by-step explanation:
a
Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1
(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?
Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Given expression
y=1/36(x-60)²-100Compare to the vertex form
y=a(x-h)²+kWe get
.
a=1/36(h,k)=vertex=(60,-100)As a is positive parabola is opening upwards and vertex is minimum
Lowest altitude is -100m
Please helppp!!! I have this question for geometry and I can’t figure it out.
Answer: shoot proofs
Step-by-step explanation:
The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
Entrance A, 15,682 cans
Entrance B, 18,940 cans
Entrance C, 16,114 cans
Entrance D, 12,468 cans
Did they collect more or fewer cans than desired? How many more or fewer?
Answer:
they collected altogether 63204 cans
so,they collected 13204 cans more than desired
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
PLS HELP ASAP PLS
A net of a triangular prism is show. What is the surface area, in square feet, of the triangular prism?
44 square feet
96 square feet
108 square feet
120 square feet
How is the year 2019 written as a Roman Numeral? Standard Number Roman Numeral 1 V 1 5 10 50 100 500 1,000 C D M A) MMXIX B) MMXVIII С) ССХІХ
Answer:
MMXIX
Step-by-step explanation:
The year 2019 written in romal numeral form is MMXIX
Solve the equation-
200=16(6t-3)
Hi ;-)
200 = 16(6t - 3)
16 · 6t - 16 · 3 = 200
96t - 48 = 200 / + 48
96t = 248 / : 96
t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
200 = 16 (6t - 3)
Simplify the equation, then the value of the variable t will be
200 = 16 (6t - 3)
12.5 = 6t - 3
6t = 15.5
t = 2.58
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
How do you solve this?
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
A flea which is 8 x 10^-3 can jump 3.5 10^2 times of its own
length. How far can it jump?
meters
Answer:
(8 × 10 ^-3) (3.5× 10 ^2)
= 2.8 meters
Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)
Answer:
(2-7)/5 + 13 + 11
Step-by-step explanation:
There's a lot of guess and check that needs to go into this to make this work, but here's what I got:
(2-7)/5 + 13 + 11
-5/5 + 13 + 11
-1 + 13 + 11
24 - 1
23
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 23.9 feet. How many feet had she been below sea level, if she was 82.2 feet below sea level after she went down?
Answer:
58.3
Explanation:
x is the depth that the scientist started at. The asked equation is
x + 23.9 = 82.2
To find x, all we have to do is reverse the equation by doing
82.2 - 23.9 = x
This gives us x = 58.3
Can anyone help me find w
3 6/12 rounded to the nearest whole number
Answer:
4
Step-by-step explanation:
6/12= .5
3.5≈4
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
write down 1/y-2/x as a single fraction in its lowest terms
Answer:
It is (x - 2y)/xy
Step-by-step explanation:
[tex] \frac{1}{y} - \frac{2}{x} [/tex]
carry out LCM method:
LCM of y and x is xy
[tex] = \frac{x - 2y}{xy} [/tex]
Find the missing number to make these fractions equal.
please help this one doesnt nee and explantion
Answer:
C.
Step-by-step explanation:
$159.99 × 0.25 is the amount of money she saved buying the CD player