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serg [7]
3 years ago
11

The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ

ent toppings ordered for the pizzas. Pizza Toppings Pineapple 10% Mushrooms Pepperoni 45% Ham 20% Based on the circle graph, how many pizzas are going to have mushrooms?
A 25 pizzas
B 15 pizzas
C 10 pizzas
D 12 pizzas

​

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

10% Pineapple is 0.10 x 40 = 4 Pineapple pizzas

45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

20% Ham is 0.20 x 40 = 8 Ham pizzas

if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

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lozanna [386]

Answer:

C

Step-by-step explanation:

use a proportion

( 3/4  ) / 1 1/8 = ( 4/4) / x teaspoons

x = 1.5

3 0
3 years ago
A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 incl
masha68 [24]

Answer:

range of scores on final exam student get  B is 90 to 100

Step-by-step explanation:

given data

Psychology 101 score = 66

average of his midterm = between 78 and 90

maximum = 100 points

to find out

range of scores on final exam student get  B

solution

we consider here lowest marks need in final = x

so average at two marks should be

equation is  

average marks = 0.5 × ( mid term marks + final marks )      .................1

put here value

78 = 0.5 ×  ( 66 + x )

x = 90

and

90 = 0.5 ×  ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get  B is 90 to 100

5 0
3 years ago
The cost of staying one night at a hotel in amber city is $59. The cost of staying one night at a hotel in bear lake is $159. Fi
Sloan [31]
If you stay in amber city you waste $295 but if you go to bear lake your wasting around $795 so your saving $500
7 0
3 years ago
Consider the one-sided confidence interval expressions for the mean of a normal population. Round your answers to 2 decimal plac
ser-zykov [4K]

Answer: a) 0.84  b) 0.67  c) 1.28

Step-by-step explanation:

Using the standard normal distribution table for z-value , we have

(a) The value of z_{\alpha} would result in a 80% one-sided confidence interval : z_{(1-0.80)}=z_{0.20}=0.8416\approx0.84

(b) The value of z_{\alpha} would result in a 85% one-sided confidence interval : z_{(1-0.85)}=z_{0.25}=0.6744897\approx0.67

(c) The value of z_{\alpha} would result in a 90% one-sided confidence interval : z_{(1-0.90)}=z_{0.10}=1.2815515\approx1.28

6 0
3 years ago
Which point below is not on the graph of p(x) = +36- X?
natka813 [3]

Answer:

We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:

  • (-13,7)
  • (-35, 1)
  • (11,5)
  • (27,3)

If any of the points belong to the equation, then the equality will be met.

Then:

  • (-13,7) :

7 = 36 - (-13)

7 = 36 + 13

7 = 49 ❌

  • (-35, 1) :

1 = 36 - (-35)

1 = 71❌

  • (11, 5) :

5 = 36 - 11

5 = 25 ❌

  • (27,3)

3 = 36 - 27

3 = 9 ❌

None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.

3 0
2 years ago
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