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5(n-2) = 2+5n + 2n fits your equation. After multiplication, we have
5x - 10 = 2 + 7n
Combining like terms, we get:
-12 = 2n, so that n = -6.
Answer: Jack has $42
Step-by-step explanation:
Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.
You know that they have $100 altogether, then you can write the following equation:
[Equation 1]
Jack has $20 more than Walker, then:
[Equation 2]
And Trust has $14 more than walker, then you can write this equation:
[Equation 3]
Substitute the Equation 2 and the Equation 2 into the first one:
![j+w+t=100\\\\(w+20)+w+(w+14)=100](https://tex.z-dn.net/?f=j%2Bw%2Bt%3D100%5C%5C%5C%5C%28w%2B20%29%2Bw%2B%28w%2B14%29%3D100)
Now, solve fo "w":
![w+20+w+w+14=100\\\\3w+34=100\\\\3w=100-34\\\\w=\frac{66}{3}\\\\w=22](https://tex.z-dn.net/?f=w%2B20%2Bw%2Bw%2B14%3D100%5C%5C%5C%5C3w%2B34%3D100%5C%5C%5C%5C3w%3D100-34%5C%5C%5C%5Cw%3D%5Cfrac%7B66%7D%7B3%7D%5C%5C%5C%5Cw%3D22)
Finally, substiute the value of "w" into the Equation 2 and evaluate:
![j=w+20\\\\j=22+20\\\\j=42](https://tex.z-dn.net/?f=j%3Dw%2B20%5C%5C%5C%5Cj%3D22%2B20%5C%5C%5C%5Cj%3D42)
Answer:
sn
ss
Step-by-step explanation:
Answer: Bonnie must purchase 25 square feet of cloth.
Step-by-step explanation:
In order to waste the least amount of material, the length of each side of the square piece of cloth must be equal to the diameter of the circular banner that she wants to cut out. The formula for determining the circumference of a circle is expressed as
Circumference = πd
Where
d represents the diameter of the circle
π is a constant whose value is 3.14
Since banner will have a circumference of 15.7 ft, then
3.14d = 15.7
d = 15.7/3.14
d = 5 ft
Area of the square cloth needed is
5² = 25 square feet
I just plugged all three of these equations into a calculator and A and C both equal 0.
Hope this helped.