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disa [49]
3 years ago
6

At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h

otdogs and pizza rolls has a total of 20 mini hotdogs and pizza rolls altogether and contains 1450 calories. Determine the number of mini hotdogs in the combination meal and the number of pizza rolls in the combination meal.
Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150

Dividing both sides by 30

\frac{30y}{30}=\frac{150}{30}\\y=5

Putting y=5 in Eqn 1

x+5=20\\x=20-5\\x=15

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

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US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data
Nonamiya [84]

Answer:

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  • it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = \frac{S_{xy} }{S_{xx} }   = 0.2871

and ∝ = y - βx   =  - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient  ( r ) = \frac{S_{xy} }{\sqrt{S_{xx}*S_{xy}  } }    = 0.8394

5 0
3 years ago
I cant figure this one out pls help
Eva8 [605]

The value of x from the given expression is -2

<h3>Slope of a line</h3>

The formula for calculating the slope of a line is expressed as:

Slope = y2-y1/x2-x1

Given the following parameters

m = 1

(x1, y1) = (0, 2)

(x2, y2) = (x, 0)

Substitute

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Learn more on slope of a line here: brainly.com/question/3493733

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2 years ago
Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below
VMariaS [17]

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u>   15   </u> ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction <u>    16    </u>

===================================================

Explanation:

We have the template \frac{P}{Q} = \frac{R}{S} which cross multiplies to PS = QR

So if \frac{3}{4} = \frac{4}{5} was true, then 3*5 = 4*4 must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, 3*5 = 4*4 turns into 15 = 16 which is a false statement. So the original claim that \frac{3}{4} = \frac{4}{5} is also false.

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