Answer:
(d)- $26.74
Step-by-step explanation:
John spends $2.75 on donuts for his office employees every weekday. On Sunday mornings he takes his wife and kids to the donut shop and spends $12.99. How much money does John spend on donuts throughout the week?
a) $23.24
b) $19.64
c) $29.14
d) $26.74
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:
The solution is (-17,80.5) and (1,8.5)
Step-by-step explanation:
Equation 1 : ![y=\frac{1}{2}x^2+4x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B4x%2B4)
Equation 2: ![y = -4x+12.5](https://tex.z-dn.net/?f=y%20%3D%20-4x%2B12.5)
Substitute the value of y from equation 2 in equation 1
Equation 1 : ![y=\frac{1}{2}x^2+4x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B4x%2B4)
After substitution :
![-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2](https://tex.z-dn.net/?f=-4x%2B12.5%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B4x%2B4%5C%5C%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B8x%2B4-12.5%3D0%5C%5C%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B8x-8.5%3D0%5C%5Cx%5E2%2B16x%2B17%3D0%5C%5Cx%3D-17%2C2)
Substitute the value of x = -17
y = -4x+12.5
y = -4(-17)+12.5
y=80.5
Substitute the value of x = 1
y = -4(1)+12.5
y=8.5
Hence the solution is (-17,80.5) and (1,8.5)
So this problem would be written as this(:
so you start with 331 students together, but then you lose 7 who travel in the cars.
331-7=324
then it would be 324 divided by the 6 buses. that would look like this
324/6
that equals 54.
so in conclusion the answer is 54 students went into each bus:) hope that helps you!
1.25 × 96 = 120
OR
.25 × 96 = 24
24 + 96 =120
either way, same answer