Answer:
1.25 minutes per lap
Step-by-step explanation:
Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508
t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>
Thus the projected amount the average American spent on health care in 2014 is $ 10075.91
Answer:
Step-by-step explanation:
the recipe called for 3 cups of flour and 4 cups of sugar. That means there is 3/4 cups of flour for each cup of sugar.
She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.
hope this helps?
