Answer:
D
Step-by-step explanation:
out of the choices
A) 2x-y=-2
3x+2y=-10
B) x+4y=3
2x+5y=3
C) 2x+3y=5
x-4y=-14
D) 3x+4y=15
x+y=5
only the system in D has a solution of x=5 and y=0
solve by substitution x+y=5 so x=5-y
plug into the other equation so 3(5-y)+4y=15
distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms
so y=0 then put that value back into the other equation
so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)
Hope this helps! :)
Answer:
A
Step-by-step explanation:
Refer to the picture above.
Explainations are written in the pic above.
Diameter = 2*radius
14/2=7
Radius is 7in"
Circumference of circle formula: 2pi(radius)
2pi(7)= 43.98in of wire required so it can wrap around lamp exactly once.
Answer:
r = -5
Step-by-step explanation:
common ratio (r) is found be dividing one term by its preceding term:
r = 275 ÷ -55 = -5
or, r = -55 ÷ 11 = -5
Therefore, r = -5
The answer is: "39 points" .
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Explanation:
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" x/ 50 = 78/100 " ; in which "x" equals the number of points needed.
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To solve for "x" ;
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Look at the denominators: 50 * (what value?) = 100.
→ "100 ÷ 50 = 2" .
→ So; "50 * 2 = 100" ;
So, let us look at the numerators:
x * 2 = 78 ;
↔ 2x = 72 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ 78 ÷ 2 = 39 ;
The answer is: "39 points" .
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