simplify the algebraic expression
8x+16y +4(x-y)
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2

Part A

The rectangular prism is a box, and the volume of the box is

V = L*W*H

so we simply multiply the length (L), width (W) and height (H)

In this case, the dimensions of the box are

The order doesn't matter in this case because we can multiply two or more numbers in any order we want (eg: 6*7 = 7*6 = 42)

So,

V = L*W*H

V = 13*5*6

V = 390

The volume of one box is 390 cubic inches.

I'm not sure what formula Diego is using. It seems like he's computing the perimeter of the base (the 13 inch by 5 inch rectangle) to get 13+5+13+5 = 36 inches. Then he's multiplying that by 6 to get 36*6 = 216; however, this value is meaningless because we won't involve the perimeter at all when it comes to finding the volume.

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So in short, Diego is incorrect. All Diego needs to do is multiply the three values 13, 5 and 6 to get the volume of one box to be 390 cubic inches.

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Part B

Use the same formula back in part A. That formula being V = L*W*H.

We'll use this formula to compute the volume of each carton.

All three cartons have a volume larger than 390 cubic inches, meaning that we can fit at least one box.

If one box is 390 cubic inches, then 8 of them lead to a volume of 8*390 = 3120 cubic inches. Note that this value (3120) is larger than the volume of carton B. There's no way that Diego can use carton B to hold all 8 boxes at once. So we have no choice but to rule it out.

Carton C on the other hand has a volume of 3432 cubic inches, which is larger than the 3120 figure we got. Meaning he can house all 8 boxes here. The amount of leftover space is 3432-3120 = 312 cubic inches which is what the packing material will take care of. In other words, you need 313 cubic inches of packing material for carton C. Carton A is a similar story, but will require more packing material (since carton A's volume is larger).

The best option is to go with carton C. It allows him to hold all the 8 boxes, with the least amount of packing material required.

Answer:

Step-by-step explanation:

Hi,

So from Andre's perspective, if he receive money that would be positive (cuz that will be adding to his collection) whereas, if he has to give money away that would be negative (cuz he would have to pay out of his pocket).

Think about it like this, people generally feel positive when they receive money and feel negative when they give away money. Apply this same concept.

Therefore,

A) Andre received money so = $25

B) Andre earned money so = $18

C) Andre had to give money away to buy the book so = - $10

D) Zero (0) would mean that he did not gain or lose any money.

Answer:

a. +25

b. +18

c. -10

d. 0 could represent the starting amount.

Step-by-step explanation:

Andy gets money from his uncle, so he is earning money, which makes it a positive.

Similar to b, Andy earns $18. He is earning it, so it is positive.

With C, he is losing money by paying for something, so it is negative.

Please give me brainliest if I helped!

Ok soo for the first one we're gonna use sine, (remember SOH CAH TOA) since we know the value of the hypotenuse.

Sin37° = x/9.3

0.6018=x/9.3

x= 5.59674

The last one we'll use cosine because we know the value of the side adjacent to 96°.

Cos42°=5.1/y

0.7431=5.1/y

y= 6.86272692

I assume it has you round your answers to the nearest tenth so the first one would be 5.6 and the second would be 6.9 .

Hope this helps!

Answer:

the width is 22.5 ft

Step-by-step explanation:

Answer:

See explanation.

Step-by-step explanation:

Area=A

length=l

width=w

[tex]A=lw[/tex]

[tex]A=\frac{7}{3}*\frac{9}{4}[/tex]

[tex]A=\frac{56}{12}[/tex]

[tex]A=\frac{14}{3}[/tex]

[tex]A= 4\frac{2}{3}[/tex]

Answer: 38 laps a day

Step-by-step explanation: So, he swam three days and he swam 114 laps in total. What you need to do is divide

how many laps he did in total/how many days he swam

114/3=38

Hope this helps, if you liked my answer please mark me brainliest, it really helps :)

Answer:

i only have a answer for the first picture & i cant really explain it bc i looked it up.. but here the answer: m=9

Step-by-step explanation:

Answer:

The two other angles are 29 degrees and 61 degrees

Step-by-step explanation:

There are 180 degrees in a triangle. Given this is a right triangle one of the angles is 90 degrees. As in the other two angles have to equal up to 90 degrees. Now we have to find x.

180 - 90 = 90

If x equals 28

28 + 1 = 29

2 x 28 + 5 = 61

29 + 61 = 90

The two other angles are 29 degrees and 61 degrees

Answer:

29 , 61

Step-by-step explanation:

Sum of all angles of a triangle = 180

90 + x + 1 +2x +5 = 180 {Combine like terms}

96 + 3x = 180         {Subtract 96 from both sides}

         3x = 180 - 96

          3x = 84 {Divide both sides by 3}

           x = 84/3

x = 28

x +1 = 28 +1 = 29

2x +5 = 2*28 + 5 = 56 + 5 = 61

Answer:

The answer is m = 150

Step-by-step explanation:

A - 700 = 250 + 3m

B - m = 150 miles

C - m = 150

3(150) + 250 = 700

     ↓   ↓   ↓   ↓   ↓

  450 +  250 = 700

         ∨         ↓   ↓

        700  =  700 ✓

Answer:

Step-by-step explanation:

Search, mop yes timer! Snow mop's clari's off tower

Answer:

the answer is 137ft cubed

Step-by-step explanation:

pleaaase give me brainelest

Answer:

Employee C

Step-by-step explanation:

A. We have to divide each earning by hour. Therefore, you have to do 180/15. Therefore, he makes 12 dollars per second.

B. We have to divide each earning by hour. Therefore, you have to do 210/20. Therefore, he makes 10.5 dollars per second.

C. We have to divide each earning by hour. Therefore, you have to do 455/35. Therefore, he makes 13.

This means that Employee C has the highest earning per hour.

If this has helped please mark as brainliest

Answer:

Sandwich - 2 $ and salad 3.10 $

Answer:

42

Step-by-step explanation:

180÷30=6

6×7=42

there you go

Answer:

2

Step-by-step explanation:

The frequency is how many times the score shows up in the data set

21, 27, 20, 29, 23, 21, 21, 27, 26, 25

27 shows up 2 times so the frequency is 2

Answer:

6+15+11+8=40

350*6/40=52.5

the closest option would be A.52

Answer:

4/1

Step-by-step explanation:

2+2=4 and 4/1 is the fraction form as 4

have a great day!

Answer:

the terms are 400n , 62n 120 and 8n

the number of coefficients is 3

equa expression  is 346n+120

Step-by-step explanation:1

Combining like terms 400n400n and -62n−62n

338n+120+8n

338n+120+8n

2 Combining like terms 338n338n and 8n8n

346n+120

346n+120

For the rest of them i just counted.

Answer: 26%

Step-by-step explanation:

20+52+34+71+23= 200

52/200 = 26/100

Answer:

26% of the jelly beans are yellow

Step-by-step explanation:

To find this we add up all the jelly beans which is 200 jelly beans

Then we divide it by the number of yellow jelly beans which is 52/200

which then equals .26. In a percentage that is 26%

Answer:

[tex]y= 2x - 3[/tex]

Step-by-step explanation:

rearrange equation into slope-intercept form

isolate y by subtracting x from both sides

[tex]2y=-x+14[/tex]

divide two from both sides

[tex]y= -\frac{1}{2}x+7[/tex]

here, we can note that the slope is -1/2, which to be perpendicular means it needs the negative inverse of slope

in other words, flip the fraction and take the negative of it, which gives m = 2

therefore plugging the given coordinates (6,9) and slope m = 2 into

[tex]y-y_{1} = m(x-x_{1} )[/tex]

therefore, we get

[tex]y-9=2}(x-6)[/tex]

distribute 2

[tex]y-9 = 2x - 12[/tex]

add 9 to both sides

[tex]y= 2x -3[/tex]

Answer:

y = 2x-3

Step-by-step explanation:

find the slope intercept first by isolation the y in the first equation

then because its asking for the perpendicular equation you will flip the x in the slope intercept equation.

now youll want to plug in (6,9) into y = 2x + a

and you will get -3

then youll have your answer

Answer:

[tex]\displaystyle f(x)=\frac{10}{169}\left(x-8\right)^2-1[/tex]

Step-by-step explanation:

We can use the vertex form of a quadratic, which is given by:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where (h, k) is the vertex.

Since we are given that the vertex is (8, -1), h = 8 and k = -1. Substitute:

[tex]f(x)=a(x-8)^2-1[/tex]

Next, we are given that the parabola passes through the point (-5, 9). So, when x = -5, y = 9:

[tex]9=a((-5)-8)^2-1[/tex]

Solve for a:

[tex]9=a(-13)^2-1[/tex]

So:

[tex]\displaystyle a=\frac{10}{169}[/tex]

So, the equation of our parabola is:

[tex]\displaystyle f(x)=\frac{10}{169}\left(x-8\right)^2-1[/tex]

Answer:

The equation of our parabola would be:

f(x) = 10/169(x - 8)[tex]^{2}[/tex] - 1

I learned this awhile to and also forgot

:')

Answer:

16

Step-by-step explanation: