Answer:
2 : 3
Step-by-step explanation:
A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc diameter.
Answer: Let the diameter of the mini disc be
while the diameter of the disc be
. To get the ratio of the mini disc diameter to the disc diameter, we just simply have to divide the diameter of the mini disc by the diameter of the disc and then represent the fraction in ratio form. The ratio of the disc diameters is given by:
Ratio of the mini disc diameter to the disc diameter = Diameter of mini disc / diameter of disc
Ratio of the mini disc diameter to the disc diameter = 
Ratio of the mini disc diameter to the disc diameter = 2 : 3
Answer: A. x= 5"
Step-by-step explanation:
ORIGINAL/NEW = 11"/7" = 8.5"/x
x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"
If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect
Then we will adjust the minor dimension to 5"
ORIGINAL/NEW = 11"/y = 8.5"/5"
y= 11" x 5"/8.5" = 6.47"
Then new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame
Answer: A. x= 5"

Answer:
<h2>18.750kg</h2>
Step-by-step explanation:
If a mass of 2.5 grams costs a penny, we want to know the amount of mass that will cost $75. Before we get the mass, we need to convert 75 dollars to penny. Using the conversion:
$1 = 100pennies
$75 = (75*100)pennies
$75 = 7,500 pennies
Using the law of equivalence
1 penny = 2.5 grams
7,500pennies = x grams
Cross multiply
1 * x = 2.5 * 7500
x = 18,750 grams
Hence 18,759 grams will cost $75
Converting grams to kilograms
If 1000 grams = 1kg
18,750grams -= y
cross multiply
1000*y = 18750
Divide both sides by 1000
1000y = 18750/1000
y = 18.750kg
<em>Hence the amount in kilogram of $75 coin in pennies is 18.750kg</em>
Answer:
yes
Step-by-step explanation:
pic above