Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
I believe the right equation for determining the area of a trapezoid is as below,
A = h(a + b)/2
To determine the expression for b which is the length of one of its bases, we multiply the equation by 2.
2A = h(a + b)
Then, divide both sides of the equation by h,
2A/h = a + b
Then, subtract a from both sides of the equation,
2A/h - a = b
Lastly, interchange the sides of the equation to reveal the answer.
<em> </em>
<em> b = 2A/h - a </em>
The oldster got a discount, so the original price is higher; let's call it x;
Answer: $14.00
Answer:
The percent change in Nancy height is 10%
Step-by-step explanation:
Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.
We have to find the percent change in her height.
Percentage change is given by the ratio of the difference in old value and new value to the old value times 100
Mathematically written as
For the given data,
Old value = 60 inches
New value = 66 inches
Thus, the Percentage change is given as,
Simlify, we have,
Thus, The percent change in her height is 10%
We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
