Evaluate - (2-5)(23). A. 4 B. -4 O c. 4 O D.

An open box is formed from a rectangular piece of cardboard whose length is 8cm more than its width by cutting squares of 2cm fr

Serggg [28]

If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm

Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm

Dimensions of the box are:-

length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm

3 0

3 years ago

There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?

abruzzese [7]

Answer:

187 girls 139 boys

Step-by-step explanation:

first you divide 326 by 2 to get 163, and then you add 24 to it to find how many girls and then you subtract 24 from it to find how many boys

4 0

3 years ago

Read 2 more answers

Please help: (picture)

Slav-nsk [51]

We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:

$\frac{S}{356} = \sqrt{d}$

Square both sides to get rid of the square root:

$\frac{S^2}{126736} = d$

Now plug the known value of the speed to find the distance:

$d = \frac{140^2}{126736} = \frac{19600}{126736} \approx 0.15465$

So the closest answer is the last one: d=0.155km

3 0

3 years ago

A hardware store sells light bulbs in different quantities. the graph shows the cost of various quantities. according to the gra

skelet666 [1.2K]

Looking at the two black dots

5 bulbs cost $9

Divide total cost by number of bulbs bought:

9 / 5 = $1.80 per bulb.

10 bulbs cost $18

Divide total cost by number of bulbs bought:

18 / 10 = $1.80 per bulb

The cost for one bulb is $1.80

3 0

3 years ago

David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions below is shown some informat

andrew11 [14]

The required diagram is attached in the picture below :

Answer:

15.05 miles

2 :09:12

5 hours 19 minutes 18 seconds

Step-by-step explanation:

Given :

28/4/18:

Time : 1 :03 : 25

Fastest mile = 02 : 25

Distance = 15.05 miles

03/5/18:

Time : 2:06: 41

Fastest mile = 02 : 53

Distance = 28.70 miles

08/5/18:

Time : 2 :09:12

Fastest mile = 02 : 45

Distance = 26.39 miles2

1.) shortest distance cycled :

From the data:

15.05 < 26.39 < 28.70

Shortest distance cycled = 15.05 miles

The longest the cycled:

1 :03 : 25 < 2:06: 41 < 2 :09:12

Longest = 2 :09:12

Total cycling time :

1 :03 : 25 + 2:06: 41 + 2 :09:12

(1 + 2 + 2)= 5 hrs

(03 + 06+ 09) = 18 minutes

(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds

18 minutes + 1 minute = 19 minutes

Total = 5 hours 19 minutes 18 seconds

7 0

3 years ago