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Alex Ar [27]
3 years ago
6

janie served 4 same zise pizzas at the class party. explain how to find how many slices of pizza janie served if the angle for e

ach slice turns though a right angle
Mathematics
1 answer:
guapka [62]3 years ago
8 0
If each slice turns a right angle that means it turns 90* so you can only have two turns per pizza which gives 4 slices (90+90+90+90=360 - this is how many degrees in a circle) so per pizza 4 slices. For four pizzas that is 4x4 which is 16 so 16slices
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Factor completely 5x2 − 5x − 100.
Rama09 [41]
First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
4 0
3 years ago
Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0
3 years ago
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
3 years ago
A board game is $12 and has a 35% increase. What is the amount of increase?
erastova [34]

Answer:

16.2$

12/35%=4.2+12

4 0
2 years ago
Simplify and determine the coefficient of (- x)(3y)(-2x).
Valentin [98]

Answer:

6yx2

Step-by-step explanation:

brackets means multiply hence -x×3y×-2x

6 0
2 years ago
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