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Bogdan [553]
3 years ago
12

Please help me out answer quick

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

3

Step-by-step explanation:

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The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a ye
zloy xaker [14]

Answer:

Number of​ restaurant-purchased meals eaten in a​ restaurant = 70

Number of​ restaurant-purchased meals eaten in a​ car = 22

Number of​ restaurant-purchased meals eaten in a​ home = 60

Step-by-step explanation:

Let the number of people that will eat in a restaurant be R.

Let the number of people that will eat in a car be C.

Let the number of people that will eat in a home be H.

From the information given in the problem we have,

R+C+H = 152 ____equation (1)

C+H-R = 12 ____equation (2)

R = H+10 ____equation (3)

1) Plugging in R=H+10 from equation 3 into the equation 2, we get

C+H-R=12

=> C+H-(H+10)=12

=> C+H-H-10=12

2) Cancelling out +H and -H, we get

C-10=12

3) Add 10 to both sides

C-10+10=12+10

4) Cancelling out -10 and +10, we get

C=22

5) Plugin C=22 in equation 1, we have

R+C+H = 152

=> R+22+H=152

Subtract 22 from both sides,

R+22+H-22=152-22

Cancelling out +22 and -22 from the left side, we get

R+H=130 ____let it be equation (4)

6) Plugin C=22 in equation 2, we have

C+H-R = 12

22+H-R = 12

Subtracting 22 from both the sides, we get

22+H-R-22 = 12-22

Cancelling out +22 and -22 from the left side,

H-R = -10 ____let it be equation (5)

7) Adding equation 4 and equation 5, we get

(R+H)+(H-R) = 130 + (-10)

=> R+H+H-R = 130-10

8) Cancelling out R and -R from the left side, we get

2H = 120

9) Dividing both sides by 2, we get

\frac{2H}{2} = \frac{120}{2}

10) Cancelling out the 2's from the left side, we have

H=60

11) Plugging in C=22 and H=60 in the equation 1, we have

R+C+H = 152

=> R+22+60=152

=> R + 82 = 152

12) Subtracting 82 from both the sides, we get

R + 82 -82 = 152 -82

13) Cancelling out +82 and -82 from the left side, we get

R = 70

<em>So, C=22, H=60, R=70</em>

8 0
3 years ago
The property of 12x2-7=6-2x2+2
gayaneshka [121]
12x2-7=6-2x2+2
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
6 0
2 years ago
What is the probability of
Mama L [17]

Answer:

50% Red, 50% Black

Hope this helps:)

Step-by-step explanation:

5 0
3 years ago
Integral sqrt(4+3x) dx
Alisiya [41]
Let 4 + 3x = u

then 3dx = du
 
or, <span>1/3∫<span>u√</span>du
</span> 
= <span>1/3<span>u^<span>3/2</span></span>/(3/2)
</span> 
= <span>2/9∗(4+3x<span>)^<span>3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span></span></span>
3 0
3 years ago
What mistake did she make?
tiny-mole [99]

Step-by-step explanation:

According to the pythagrean equation, it should be

AC^2 = AB^2 + BC^2\\

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

7 0
2 years ago
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