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IRINA_888 [86]
3 years ago
15

At a particular restaurant each mozzarella stick has 90 cal in each pizza roll has 80 cal. A combination meal with the mozzarell

a sticks and the pizza rolls is showing to have 1470 total calories and five more mozzarella sticks and pizza rolls. Determine the number of mozzarella sticks in the combination meal and the number of pizza rolls in the combination meal
Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

The meal consist 11 mozzarella sticks and 6 pizza rolls.

Step-by-step explanation:

We are given the following in the question:

Calories in mozzarella stick = 90

Calories in pizza roll = 80

Let x be the number of a mozzarella stick and y be the number of pizza rolls.

Total calories in meal = 1470

Thus, we can write the equation:

90x + 80y = 1470

There are five more mozzarella sticks than pizza roll.

Thus, we can write the equation:

x = y + 5\\x-y = 5

Solving the two equations, we get,

90x+80y+80x-80y = 1470 + 400\\170x = 1870\\x = 11\\y = 11-5 = 6

Thus, the meal consist 11 mozzarella sticks and 6 pizza rolls.

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Paloma ran 3 3/4 miles around the school track. If each lap is 1/2 mile, how many laps did she run?
Ratling [72]

Answer:

9

Step-by-step explanation:

It is 9 because 1/2 goes into 3, 6 times, and then 3/4 divided by 1/2 is 1 1/2 so 1/2 goes into 3/4 1/12 times, so then figure out how mnay 1/2 is in 1 1/2 and youll get 3 so 6 plus 3 equals 9 :)

7 0
2 years ago
1. Thales, an ancient Greek mathematician, and philosopher used certain triangles to find the height of unknown objects. He wait
charle [14.2K]
An equilateral triangle.

all sides are the same so the higth of the object will be the same as length of the shadow.
7 0
3 years ago
28, 45, 12, 34, 36, 45, 19, 20
Alborosie

1) Mean of the set of data: 29.88

2) Mean absolute deviation: 10.13

3) See explanation

Step-by-step explanation:

1)

The mean of a set of data it is calculated as

\bar x = \frac{1}{N}\sum x_i

where

N is the number of data in the set

x_i is the value of each point in the  dataset

For the set of data in this problem, we have:

x_i =[28, 45, 12, 34, 36, 45, 19, 20]

And the number of values is

N = 8

Therefore, we can calculate the mean:

\bar x = \frac{1}{8}(28+ 45+ 12+ 34+ 36+ 45+ 19+ 20)=\frac{239}{8}=29.88

2)

The mean absolute deviation of a set of data is given by

\delta = \frac{1}{N}\sum |x_i-\bar x|

where

N is the number of values in the dataset

x_i are the single values

\bar x is the mean of the dataset

The dataset here is

x_i =[28, 45, 12, 34, 36, 45, 19, 20]

The mean, calculated in part 1), is

\bar x = 29.88

And

N = 8

Therefore the mean absolute deviation is

\delta = \frac{1}{8}(|28-29.88|+|45-29.88|+|12-29.88|+|34-29.88|+|36-29.88|+|45-29.88|+|19-29.88|+|20-29.88|)=\frac{81}{8}=10.13

3)

The mean of a dataset is the sum of the single values of the dataset divided by the number of values. The mean represents the value \bar x for which, if the dataset would have N values all equal to \bar x, the sum of the values of the dataset would be the same as the sum of the actual values.

The mean absolute deviation for a set of data represents the average of the absolute deviations of the single points from the mean of the dataset. This quantity gives a measure of the "dispersion" of the points around the mean: in fact, the larger the mean absolute deviation is, the more the points are "spread" around the mean of the dataset. Instead, if the mean absolute deviation is small, it means that the points are closer to the mean value.

Learn more about mean and spread of a distribution:

brainly.com/question/6073431

brainly.com/question/8799684

brainly.com/question/4625002

#LearnwithBrainly

7 0
3 years ago
7 x 3/4
Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

            7 x 4=28

Step 2:Add 3 to their product.

         28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0
3 years ago
Is 4 a solution to the compound inequality “x < 0 and c < 7”
tester [92]

Answer:

no

Step-by-step explanation:

4 is greater than 0

8 0
3 years ago
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