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lions [1.4K]
3 years ago
9

Simplify the epxression: 1 point (15-5) x 2³ 60 120 20 80

Mathematics
2 answers:
IceJOKER [234]3 years ago
7 0

<u>The answer is 80.</u>

-

Written Steps:

1. Subtract the numbers 15-5=10 which = 2^3 * 10x

2. Complete the exponents. (2^3 = 8)

3. Multiply the numbers. (10 * 8)

4. Done!

-

Steps without words. Just numbers:

(15-5) x * 2^3 = 80x

(15 - 5) x * 2^3

15 - 5 = 10 --> 2^3 * 10x

2^3 = 8 --> 10 * 8x

10 * 8x = <u>80</u>

--

Hope this helped :)

choli [55]3 years ago
4 0

The answer is 80.

2x2x2=8

15-5=10

10x8=80

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Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an
Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is <u>$2.50</u>.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be x.

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

4(x+7.50)=40

Now, to solve the equation for getting the money each boy had after buying his ticket:

4(x+7.50)=40

4x+30=40

<em>Subtracting both sides by 30 we get:</em>

4x=10

<em>Dividing both sides by 4 we get:</em>

x=\$2.50.

Therefore, the money each boy had after buying his ticket is $2.50.

3 0
3 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Which histogram represents a data set with a mean of 4.5 and a standard deviation of 1.7?
AVprozaik [17]

Answer:

that would be the third one

Step-by-step explanation:

5 0
3 years ago
Hannah,her dad,and her grandmother each ate 2/8. How much pizza did they eat altogether?
Vinil7 [7]

Answer:

6/8

Step-by-step explanation:

2/8 + 2/8 + 2/8 = 6/8.

Add the tops. Hope this helps :)

7 0
3 years ago
Read 2 more answers
My sister needs help ( casandra0606 )
AleksandrR [38]
The formula for volume of a prism is v=(1/2bh)h so it would be
​(1/2​​ ×7.8×4)×9= 140.4
5 0
3 years ago
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