Answer:
16 batches are to be made for the party.
Explanation:
Given:
Number of batches for every 9 people= 2
Total number of people attending the party=72
To Find:
The Number of batches required=?
Solution:
Let the number of batches for 72 people be n
So, by cross multiplication method,
2 x 72 = n x 9
9n = 72 x 2
n = 8 x 2
n = 16
<span>The answer is B.
The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.
Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.
You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16
These are now the two equations above. </span>
The answer is 27
Remember that the number inside the lines are always positive so in this case it will be
|-8|+19 which will equal to
8+19=27
Answer:
- bonds: $18,000
- stocks: $6,000
Step-by-step explanation:
You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.
<h3>Ratio</h3>
Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.
Multiplying the ratio by $6,000, we see the investment amounts are ...
stocks : bonds = 1 : 3 = $6,000 : $18,000
$6,000 is invested in stocks; $18,000 is invested in bonds.
Answer:
a. 176 feet b. 2640 feet
Step-by-step explanation:
a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.
So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet
b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet
