Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
<em>So</em><em>,</em><em> </em><em>total</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>que</em><em>stions</em><em> </em><em>is</em><em> </em><em>4</em><em>0</em><em>.</em>
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
6 hours.
Step-by-step explanation:
Let t represent time taken by plant 1 in hours to release the waste.
Part of waste released by plant 1 in one hour would be
.
We have been given that two chemical plant 1 releases waste twice as fast as plant 2, so time taken by plant 2 to release the waste would be
.
Part of waste released by plant 2 in one hour would be
.
We are also told that together they fill the tank in 4 hours. So part of tank filled by both plants working together in one hour would be
.




Therefore, it will take 6 hours for the faster plant to fill the tank working alone.
Answer:x=61
Step-by-step explanation
856−5x3{131}=2
8(x−9)+5(5−18)+1(15−6x)=2
8x−72−65+15−6x=2
2x=122
x=61
sorry if i'm wrong
Answer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A