Answer:
Multiproperty
Step-by-step explanation:
To solve this problem, we use different properties to arrive at our answer.
Given expression;
4(x + 3) = 20;
First we use the distributive property to expand;
4x + 12 = 20
Now use subtraction property by adding (-12) to both sides;
4x + 12 + (-12) = 20 + (-12)
4x = 8
you can now divide by 4,
x = 2
Find a common denominator between the two (this case it would be 18) and bring the fractions up, so 10/9 would be 20/18, and 3/2 would be 27/18. Then, multiply across, and simplify to lowest terms.
System of Equations
Let:
x = number of people that can be seated at a table
y = number of people that can be seated at a booth
The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:
23x + 10y = 228
The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:
12x + 12y = 180
The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.
Multiply the first equation by 12:
276x + 120y = 2736
Multiply the second equation by -23:
-276x - 276y = -4140
Add the last two equations (the variable x cancels out):
120y - 276y = 2736 - 4140
Simplifying:
-156y = -1404
Dividing by -156:
y = -1404/(-156)
y = 9
Substitute this value in the first equation:
23x + 10(9) = 228
Operate:
23x + 90 = 228
Subtract 90:
23x = 138
Divide by 23:
x = 138/23
x = 6
Every table can seat 6 people, and every booth can seat 9 people
Answer:
I think that the answer isssss B
Answer:
2.5 pounds
Step-by-step explanation:
Let s represent the number of pounds of dried strawberries that should be added to the bananas. The total cost of the mixture will be ...
(2.50)(3) +(8.00)(s) = (5.00)(3 +s)
7.50 +8s = 15 +5s . . . . . . . eliminate parentheses
3s = 7.50 . . . . . . . . . subtract 7.50+5s
s = 2.50 . . . . . . divide by 3
2.5 pounds of dried strawberries should be added to make the mixture.
