We can infer that more cups of flour are needed as the cakes are increased, so we can apply a rule of three, simple with direct proportion to find the answer:
12 cakes ----> 22 cups flour
30 cakes ----> x
x = (30)(22)/12
x = 55
therefore 55 cups of flour are needed to bake 30 cakes
Hi!
There might be different variations into how anyone would approach this problem but this is by far an easy way for me.
In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.
You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.
When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.
(<em>This is how you do cross multiplication.)</em>
You should get something like this:
3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.
9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.
36=15y Isolate y and divide it by 15.
y=2.4
I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.
I hope this helped!
Y is 85% of 60
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 85% * 60
Converting percent to decimal:
p = 85%/100 = 0.85
Y = 0.85 * 60
Y = 51
Answer:
B. <
Step-by-step explanation:
2.7 * 10^3 is < 27 * 10^3
since
27 * 10^3 = 27000
2.7 * 10^3 = 2700
2700 < 27000
now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27
27 is greater than 2.7
so
your answer is B or <
hope this helps :)
Answer:
Step-by-step explanation:
1. Find the GCD ( or HCF) of numerator and denominator
<u>GCD of 5 and 14 is 1</u>
2. Divide both the numerator and denominator by the GCD
5 divide 1 and 14 divide 1
3 reduced fraction
5/14
