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7nadin3 [17]
3 years ago
6

An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length

x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.
Mathematics
1 answer:
amm18123 years ago
7 0

Answer:Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

Step-by-step explanation:

Given

Length is 19 in of original box so required length of square box is 19-2x

as width is also equal to length of box

therefore width=19-2x in.

height of box =x in.

Volume =length\times width\times height

Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

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Ricky, Sam, and Timothy cycles from Airy Town to Brightvale which was 9km apart. Ricky cycles at a constant x km/h. Sam cycled a
Semmy [17]

12.15 km /h

Step-by-step explanation:

Step 1 :

Given

Distance between Airy Town to Brightvale  = 9 km

Speed of Ricky = x km/h

Step 2:

Speed taken by Sam = x + y km/h

Time taken by Sam = 40 min = 40/60 hrs = 2/3 hrs

so we have (x+y) 2/3 = 9

Step 3:

Speed taken by Timothy = x - y km / h

Time taken by Timothy = 50 min = 50/60 = 5/6 hrs

= > (x-y) 5/6 = 9

Step 4 :

Solving the 2 equations

(x+y) 2/3 = 9 and (x-y) 5/6 = 9 we have

(2/3)x + 2/3(y) = 9 = > 2x + 2 y = 27

5/6(x) - 5/6(y) = 9 = > 5 x - 5 y = 54

Multiplying the first equation by 5 and the second by 2 we have ,

10 x + 10 y = 135 and 10 x - 10y = 108

Adding both,

20 x = 243 => x = 12.15.

This gives speed of Ricky as 12.15 km /h

3 0
2 years ago
First to answer gets brainliest
nikdorinn [45]

Answer:

B

Step-by-step explanation:

13 x 6= 78

5 x 6=30

78+30= 108

8 0
2 years ago
Jeremy bake 9 cakes for the bake sale he put 2 cups of powder surger evenly on the tops
yanalaym [24]
If Jeremy has 2 cups of sugar, and evenly distributes it onto 9 cakes, he would have put .222 (repeating 2) cups of cake on each cake. 
4 0
2 years ago
Simplify 2y+4x=16x +6y ​
AleksAgata [21]
The Answer would be y=-3x
8 0
3 years ago
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
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