Answer:
20 hours
Step-by-step explanation:
We can work easier if we think in terms of an hour
the first equation that we can write is
A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)
the second equation we can write is
A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)
the third equation that we can write is
B = 2C (its meaning is that in an hour B fill 2 times C the cistern)
now we can substitute the value of B in the first two equations
A + 2C = 1/4
A + C = 1/5
A = 1/5 - C
1/5 - C + 2C = 1/4
C = 1/4 -1/5
C = (5-4)/20
C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)
A = 1/5 - 1/20
A = (4-1)/20 = 3/20
B = 1/20 *2 = 1/10
A and B can fill a cistern in 4 hours. A and C can fill the same cistern in 5 hours and C would take to fill the cistern 20 hours
We can work easier if we think in terms of an hour
The first equation that we can write is
What is the first equation?A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)
The second equation we can write is
A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)
The third equation that we can write is
B = 2C (its meaning is that in an hour B fill 2 times C the cistern)
now we can substitute the value of B in the first two equations
A + 2C = 1/4
A + C = 1/5
A = 1/5 - C
1/5 - C + 2C = 1/4
C = 1/4 -1/5
C = (5-4)/20
C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)
A = 1/5 - 1/20
A = (4-1)/20 = 3/20
B = 1/20 *2 = 1/10
A and B can fill a cistern in 4 hours. A and C can fill the same cistern in 5 hours and C would take to fill the cistern 20 hours.
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which is the correct classification square root of 32?
Answer:
5.65
Step-by-step explanation:
But if you need to round it would be 6.
Hope this helps!
Good Luck!
What is the perimeter of the parallelogram???
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
7/20
Step-by-step explanation:
Take the time for history assignment and subtract the time for her English assignment
3/5 - 1/4
Get a common denominator of 20
3/5 *4/4 = 12/20
1/4 * 5/5 = 5/20
12/20- 5/20
7/20
Please help ASAP I’m failing, 15 points!
Answer: 60 Degrees each
Hope this helps...
Have a great grade! ;)
Answer: First one on the lower left side of the triangle is 56 and the other one is 66 yw
Step-by-step explanation:
I need help with this 20 points
Answer:
I dont understand that sorry
If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects across the y-axis and vertically stretches by multiplying by 7
Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
May I please have help ?! Thanks ❤️
A Statistics class has a test average of 87 with a standard deviation of 2.1. Find the z-score that corresponds to Kate's test score of 93. (Round to the nearest hundredths)
Answer:
2.86
Step-by-step explanation:
So I'm pretty sure we don't want the probability, just the zscore
to find the zsore subtract the mean and divide by the standard deviation
(93-87)/2.1= 2.86
Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Answer:
A. 5 × ( 3 + 2 + 2 1/4 )
Step-by-step explanation:
Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.
The expression represents the total number of miles he biked is calculated as:
The number of times he rode his bike × (sum of the number of miles he biked)
= 5 × ( 3 mile + 2 miles + 2 1/4 miles)
= 5 × (3 + 2 + 2 1/4)
Therefore, Option A is the correct option
The person swims at 4 kilometers per hour and runs at 20 kilometers per hour. For what distance x is the total time for swimming and running 2 hours? Round to the nearest tenth of a kilometer. (Hint: Time swimming + time running = 2 hours, and distance rate = time.)
Answer:
Amm ask to your teacher not to this apps ok
Step-by-step explanation:
THANK you
Jacob buys 8 copies of a book for presents for friends. It costs her a total of $119.60. Write an equation that can be used to find out how much each book, b, was sold for.
Answer:
8b=119.60
Step-by-step explanation:
8b=119.60
B=14.95
Fill in the blank. In the triangle below, x=__. Round your answer to two decimal places.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given right angle triangle,
[tex]\tan 52^\circ=\dfrac{x}{35}[/tex]
[tex]1.2799\times 35=x[/tex]
[tex]44.7965=x[/tex]
Approximate the value to two decimal places.
[tex]x\approx 44.80[/tex]
Therefore, the value of x is about 44.80 units.
Calculate the length of AC, to the nearest tenth of a centimeter.
Answer:
AC ≈ 11.0 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ CDE and Δ ADE
CE² + DE² = DC²
CE² + 7² = 8²
CE² + 49 = 64 ( subtract 49 from both sides )
CE² = 15 ( take the square root of both sides )
CE = [tex]\sqrt{15}[/tex]
-------------------------------------------------------
AE² + DE² = DA²
AE² + 7² = 10²
AE² + 49 = 100 ( subtract 49 from both sides )
AE² = 51 ( take the square root of both sides )
AE = [tex]\sqrt{51}[/tex]
Then
AC = AE + CE = [tex]\sqrt{15}[/tex] + [tex]\sqrt{51}[/tex] ≈ 11.0 cm ( to the nearest tenth )
A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?
Answer:
152 gallons
Step-by-step explanation:
76÷4=19
19x8=152
Answer:
152 miles
Step-by-step explanation:
76 x 2 = 152
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
C = 4 pi ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Solving for r
4 pi = pi r^2
Dividing each side by pi
4 = r^2
Taking the square root of each side
sqrt(4) = sqrt(r^2)
2 = r
Now we can find the circumference
C = 2 * pi *r
C = 2*pi*2
C = 4 pi ft
find a sequence of seven consecutive numbers, none of which is prime
Answer:
24, 25, 26, 27, 28, 29, & 30
Step-by-step explanation:
These should all be good to go! Hopefully it helps.
Answer:
the seven consecutive composite number less than 100 such that there is no prime number between them are 90,91,92,93,94,95,96,.......
What is the approximate measure of the leg opposite of angle A???
Answer:
8.7 cm
Step-by-step explanation:
take 60 degree as reference angle
using sin rule
sin 60=opposite/hypotenuse
[tex]\frac{\sqrt{3} }{2}[/tex]=opposite/10
[tex]\frac{\sqrt{3} }{2} * 10[/tex]=opposite
[tex]\sqrt{3} *5[/tex] = opposite
[tex]5\sqrt{3}[/tex] =opposite
8.66=opposite
8.7 =opposite
Please hurry
Find the value of cos P rounded to the nearest hundredth, if necessary
Answer:
cosP = 4/5
Step-by-step explanation:
cosP= b/h = b/√(b²+p²) = 24(√(24²+18²)= 24/30= 4/5
Solve the following system using the elimination method.
3x+2y=1
2x-y=10
Answer:
Step 1 : Multiple both sides by 2
3x + 2y = 1
4x - 2y = 20
Step 2 : Eliminate 1 variable by adding the equations
7x = 21
Step 3 : Divide both sides by 7 to solve for x
x = 3
Step 4: Substitute the value of x into 3x + 2y = 1
3(3) + 2y = 1
Step 5: Solve for y
2y = 1 - 9
2y = -8
*divide by 2
y = - 4
Solution:
(x,y) = (3, -4)
This question doesn’t make sense to me
Answer:
2
Step-by-step explanation:
Average rate of change is
f(x2) - f(x1)
----------------
x2 -x1
We know x2 =2 and f(x2) = 5
x1 = 1 and f(x1) = 3
Using the formula
5-3
-----------
2-1
2/1
2
devi bought 7 skirts at x$ each n skirts at 12$ each 2n +1 at 15 each a nd 4 skirts at $3x find the total
Answer:
4(19x + 42n + 15)
Step-by-step explanation:
Devi bought 7 skirts at $x each, n skirts at $12 each, (2n + 1) skirts at $15 each and 4 skirts at $3x each. Find the total cost of the skirts she bought.
total cost of the skirt bought can be determined by adding the total costs of each shirt bought
7 skirts at $x each = $7x
n skirts at $12 each = $12n
(2n + 1) skirts at $15 = (2n + 1) x 15 = 30n + 15
4 skirts at $3x each = $12x
7x + 12n + 30n + 15 + 12x
combine like terms
19x + 42n + 15
Please help me, the answer is v=24, but I need working out
Answer:
v=24
Step-by-step explanation:
V= 3[tex]\sqrt{10^{2} - 6^{2} }[/tex]
V= 3[tex]\sqrt{100-36}[/tex]
V= 3[tex]\sqrt{64}[/tex]
V= 3×8
V= 24
SOMEONE PLEASE PLEASE HELP ME!!!
9514 1404 393
Answer:
C
Step-by-step explanation:
We assume you want these in order by angle measure in some consistent units. Degrees is a reasonable unit to use here.
π radians = 180°
Substituting 180° where you see π, you find the angle values to be ...
2π = 2(180°) = 360°
7π/6 = 7/6(180°) = 210°
π/4 = (1/4)(180°) = 45°
Then the angles from least to greatest are ...
38°, 45°, 80°, 210°, 360°
or
38°, π/4, 80°, 7π/6, 2π . . . . matches the third choice
BRAINILEST PLZZZZZzzzzz
Answer:
Base:3
Height:5
Area= 15
Step-by-step explanation:
Formula=BxH
3x5=15
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
(High points) please solve with explanation
Answer:
it's my own writing
I have done
please make me brainlist
Step-by-step explanation:
I hope this helps u
have a nice day ✌❤☘
Help please guys thank you so much!
Step-by-step explanation:
the answer is 4 and 64
please give me brainliest
ILL MARK FIRST CORRECT ANSWER BRAINLIEST!!!!
The balance in my account was -40 dollars. I deposited 65 dollars. What is my balance now?
Answer:
$25
Step-by-step explanation:
-40 + 65 = 25
Hope this helps
quadratic formula?
2x^2-4x+2=0
A. 1
B. -4
C. 6
D. -2
E. 2
Solve using the quadratic formula
2x^2+x+67=0
Answer:
[tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Multiple RootsStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Root i = √-1Step-by-step explanation:
Step 1: Define
Identify
2x² + x + 67 = 0
a = 2
b = 1
c = 67
Step 2: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}[/tex][√Radical] Subtract: [tex]\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}[/tex][√Radical] Simplify: [tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]