Answer:
1/18
Step-by-step explanation:
The ratio of long dimensions is ...
card size : poster size = (2 in) : (3 ft) = 2 in : 36 in = 1 : 18
The small rectangle is 1/18 the scale of the poster.
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.
A) x + y = 200
B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200 we get
.3333...y = 44.4444...
y = 133.3333... grams 12 karat gold
x = 66.6666... grams 18 karat gold
Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...
Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold
Answer:
The first question is 9.
The second is 36.
The third is 8 1/2
Step-by-step explanation:
For the first one, there are 8 cubes plus the two halves, which equal 1 so 8 plus 1 equals 9.
The second one is 9 divided by a quarter which is 1/4, 9 divided by 1/4 equals 36.
For the third, length times witdth times height equals volume. So then (you don’t have to do it in order but) 2 times 1 times 4 1/4 equals 8 1/2.
I'm pretty sure it's B you have it correct
