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Tanzania [10]
2 years ago
12

A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the re

cipe for 40 people?
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
8 0
You do NOT have enough cups of sugar for 40 people
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person

0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl
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Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ
mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

Volume of a cylinder = πr²h

volume of a hemisphere = 4/3πr³

Volume of a cone = ⅓πr²h

π = 3.14

r = 3m

h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

[ 3√(2)]² = 3² + c²

9*2 = 9 + c²

C² = 18 - 9

C = 9m

Height of the cone = 9m

Volume of a cylinder = πr²h

V = 3.14 * 3² * 11

V = 310.86m³

Volume of the cylnder = 310.86m³

Volume of the hemisphere = 4/3πr³

V = 3.14 * 3³

V = 84.78m³

Volume of the hemisphere = 84.78m³

Volume of the cone = ⅓πr²h

V = ⅓ * 3.14 * 3² * 9

V = 84.78

Volume of the cone = 84.78m³

Volume of the solid = volume of cone + volume of hemisphere + volume of cylinder

Volume of the solid = 84.78 + 84.78 + 310.86

Volume = 480.42m³

5 0
3 years ago
The greater of two numbers is six more
pickupchik [31]

Answer:

 

Let's begin by writing the mathematical equations given by the sentences.

 

Let X = smaller number

Let Y = larger number

 

The first sentence tells us

X + Y = 38

 

The second sentence tells us

X = Y/3 + 6

 

Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.

 

Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,

X = 38 - Y

 

Since both equations are equal to X, I can set them equal to one another and solve for Y.

Y/3 + 6 = 38 - Y

 

Y + 18 = 114 - 3Y

4Y = 96

Y = 24

 

Then use either of the two original equations to solve for X

X + Y = 38

X + 24 = 38

X = 14

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

5 0
3 years ago
Which expression is equivalent to 36a-12b? <br><br> 3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)
Maurinko [17]

Answer:

6(6a-2b)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

7 0
3 years ago
What number times 3 is 18?
kobusy [5.1K]

Answer: 6

Step-by-step explanation:

6+6=12 12+6=18 thus 6 times 3 is 18

7 0
3 years ago
Read 2 more answers
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