Answer: 123/32 or 3 27/32 sticks
Step-by-step explanation:
41/8*3/4 =
41*3/8*4 =
123/32 =
3 27/32
Answer:
q=-1/3
Step-by-step explanation:
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers
If P is a midpoint of DE, then:
DP + PE = DE and DP = PE → 2DP = DE
We have:
DP = 3x + 2 and DE = 10x - 12
Substitute:
2(3x + 2) = 10x - 12 |use distributive property
(2)(3x) + (2)(2) = 10x - 12
6x + 4 = 10x - 12 |subtract 4 from both sides
6x = 10x - 16 |subtract 10x from both sides
-4x = -16 |divide both sides by (-4)
x = 4
Substitute the value of x to the equation DP = 3x + 2:
|DP = 3(4) + 2 = 12 + 2 = 14
Answer: DP = 14 units
Answer:
(c) $3,93 more
(b) Mr. Sánchez's class earned more money.
(a) ![\displaystyle [42, 37] → [j, p]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B42%2C%2037%5D%20%E2%86%92%20%5Bj%2C%20p%5D)
Step-by-step explanation:
{79 = p + j
{118,17 = 1,65p + 1,36j
−25⁄34[118,17 = 1,65p + 1,36j]
{79 = p + j
{−86 121⁄136 = −1 29⁄136p - j >> New Equation
__________________________

[Plug this back into both equations above to get the j-value of 42]; 
The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:
<u>Sánchez's class</u>
![\displaystyle 61,05 = [37][1,65]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2061%2C05%20%3D%20%5B37%5D%5B1%2C65%5D)
Altogether, <em>thirty-seven</em> fruit pies cost $61,05.
<u>Kelly's</u><u> </u><u>class</u>
![\displaystyle 57,12 = [42][1,36]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2057%2C12%20%3D%20%5B42%5D%5B1%2C36%5D)
Altogether, <em>forty-two</em> bottles of fruit juice cost $57,12.
* Based on the calculation, it is perfectly clear that Mr. Sánchez's class earned more money by $3,93:

I am delighted to assist you anytime my friend!
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.