Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
<u>Part A</u>
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
<u>Part B</u>
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
Answer:
No, the height cannot be 25 feet because the resulting area is inconsistent with the information given.
Step-by-step explanation:
Given that the base of the first floor is 75 feet, we can answer this question in two different ways:
1) Solve for Area using the given height and compare the results to that of the question.
Using the formula for Area:
<em> A = b x h,</em>
<em>A = (75) x (25) = </em><em>1875 </em>
Because the given height results in an area of 1875 feet, and not 1575 feet, the base of this parallelogram cannot be 25 feet.
2) Solve for Height using the given base and Area
Using the formula for Height:
<em>h = A / b,</em>
<em>h = (1575) / (75) = </em><em>21</em><em> ft</em>
The base of this parallelogram could not be 25 feet because when solving for height using the given base and area, the resulting measurement is 21 feet.
I'm assuming the function given is y = 9300(0.991)^x
If so, then the base of the exponent 0.991 is in the form 1+r
1+r = 0.991
r = 0.991-1
r = -0.009
The negative r value indicates a percent decrease.
Specifically it is a 0.9% decrease since 0.009 = 0.9/100 = 0.9%
Any time you have a percent decrease like this, the exponential function is undergoing decay.
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as
x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692
s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
