Answer:
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Step-by-step explanation:
Let us suppose r be the total number of meals eaten in a restaurant
Let us suppose c be the total number of meals eaten in a car
Let us suppose h be the total number of meals eaten in a home
- The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence,
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)
- The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence,
![c + h = r + 11.....[B]](https://tex.z-dn.net/?f=c%20%2B%20h%20%3D%20r%20%2B%2011.....%5BB%5D)
- Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence,
![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)
Substituting Equation [B] into [A],
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)




Putting
in ![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)


Putting
and
in ![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)



Therefore,
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Verification:

Putting
,
and
in 


<em>Keywords: number, equation</em>
<em>Learn more word problem from brainly.com/question/11920172</em>
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Step-by-step explanation:
sum is addition
3/2+x=11/5+4 1/2
get x alone by using opposite operation to get 3/2 on other side of equal sign
3/2 is being added to x, so the opposite is subtracting
3/2-3/2+x=11/5+4 1/2-3/2
3/2 cancels out on the left
x=11/5+4 1/2-3/2
need same denominator, all denominators are factors of 10
2×5
multiply top and bottom of each fraction to get denominator of 10
(11/5)*(2/2)
(4/1)*(10/10) and (1/2)*(5/5)
(3/2)*(5/5)
multiply top and bottom and add
x=(22/10)+(4/10)+(5/10)-(15/10)
add all numerators
x=(22+4+5-15)/10
x=16/10
now simplifydivide by 2 on top and bottom
x=(16/10)÷(2/2)
x=8÷5
5/5 is 1, and there is 3/5 left
so x=1 3/5
Answer:
9/4
Step-by-step explanation:
2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4
Answer:
C. a numerical expression.
Step-by-step explanation:
Right away, what you should know is that this is an expression. Equations are expressions, except wiht an equal sign. This is not algabraeic though, since there is no valuable (for example 3x, or 7a). So, through the process of elimination, the answer would be a numerical expression.
Hope this helps!
The answer is 1.75 yards, which equals to 63 inches compared to 42.