Roger brought some sponges. The number of packages he bought was 14 less than the number of sponges per package. Roger bought 51 sponges in all. How many packages of sponges did roger buy?

Answer:

1152in²

Step-by-step explanation:

Given the following

Length = 10in

Width = 16in

Height = 16in

surface area of the prism = 2(LW + WH + LH)

surface area of the prism = 2(10*16+ 16*16 + 10*16)

surface area of the prism = 2(160+256+160)

surface area of the prism = 2(576)

surface area of the prism = 1152in²

Answer:

Hi

Step-by-step explanation:

Answer:

Step-by-step explanation:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Answer:

4.997

Step-by-step explanation:

Answer:

-62.8 is the Answer fot the equation, Hope this helped

Answer: It’s 3

Step-by-step explanation:

Hoped I help :)

Answer:

4 hours and 10 min

Step-by-step explanation:

For this equation we will do ratios:

[tex]\frac{18}{30} =\frac{150}{x} \\\\18x=4500\\x=250[/tex]

250 min =

4 hours and 10 min

4(60) = 240

240 + 10 = 250 minutes

Answer:

91in^2

Step-by-step explanation:

First, add 11 and 15:   11 + 15 = 26

Second, divide it by 2: 26/2 = 13

Third, multiply it by the height: 13 * 7 = 91in^2

Answer:

7 books

Step-by-step explanation:

i cant write it in an equaction but basically 25 - 2 = 23

then 3 x 7 = 21 so he can only buy 7 books and he'll have 2 dollars left

Answer:

a. -12n^3 + 8n^2 - 2n

b. n^4 - n/2

c. 6b^7 + 2b^6 - b^5

Step-by-step explanation:

btw photomath (the app) is really good for this type of stuff

Answer:

200

Step-by-step explanation:

Answer:

I think it is A.

Step-by-step explanation:

I hope this helps.

Answer:

Circumference ~ 53.4

Step-by-step explanation:

Use the distance formula to get the radius of the circle. The radius is about 8.5. Now put 8.5 into the formula 2(pi)r for the Circumference. Rounding to the nearest tenth the answer is 53.4

Answer:

x = 3

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex]

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{\sqrt{3} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by [tex]\sqrt{3}[/tex] )

x = 3

Answer:

12 I believe

Step-by-step explanation:

[tex]12\sqrt{2}[/tex] x sin(45) = 12

I am pretty positive I am correct, I am sorry if I am off a little

4 units I assume. that it is a very basic answer tho and I am not sure if a specific formula or lesson was supposed to be applied to that andwer

Answer:

not a function becuz 2 repeats its self twice

Step-by-step explanation:

Answer:

You are welcome

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Hello,

In order to solve for x, we need to isolate the variable on one side of the equation.

To do this, we subtract 450 from both sides of the equation, and this will give you:

28.75x = 517.5

As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.

x = 18

Hope this helps!

Answer:

[tex](x,y) => (2.5x,2.5y)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD and A'B'C'D'

Required

Determine the dilation rule

Using AB and A'B' as points of references;

[tex]AB = (-1,2)\ to\ (2,1)[/tex]

[tex]A'B' = (-2.5,5)\ to\ (5,2.5)[/tex]

The dilation factor (k) is calculated as:

[tex]k = \frac{A'B'}{AB}[/tex]

This gives:

[tex]k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}[/tex]

Factorize

[tex]k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}[/tex]

[tex]k = 2.5 \ or\ k = 2.5[/tex]

Hence, the scale factor is 2.5

The dilation rule is:

[tex](x,y) => k(x,y)[/tex]

[tex](x,y) => 2.5(x,y)[/tex]

[tex](x,y) => (2.5x,2.5y)[/tex]

Answer:

3

Step-by-step explanation:

The closest angle to F in the triangle is 52 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.

We can use the tangent function to find the measure of angle F:

tan(F) = opposite/adjacent = 18/14

we can find the inverse tangent of this value:

F = tan⁻¹(18/14)

= tan⁻¹(1.28)

F= 52.15°

Hence, the closest angle to F in the triangle is 52 degrees.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Answer:

B

Step-by-step explanation:

equation for volume of a cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]

plug in - [tex]V=\frac{1}{3} \pi (4)^2(7)[/tex]

Answer:

we have

volume of cone =1/3 πr²h=1/3×π×4²×7ft³

so

v=1/3 π(4²)(7)ft³

Answer:

2/4

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

b times h

7.5 times 9

Answer:

A = 67.5 in²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 7.5 , then

A = 9 × 7.5 = 67.5 in²

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

C. 333.14

Step-by-step explanation:

Both the basketball and baseball has got the shape of a sphere. So that;

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius

i. Volume of the baseball = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                           =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](9.25)^{3}[/tex]

                           = 3315.5655

volume of the baseball = 3316.57 cube inches

ii. Volume of the basketball =  [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                            = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](9.55)^{3}[/tex]

                            = 3649.8372

Volume of the basketball = 3649.84 cube inches

The required difference = volume of basketball - volume of baseball

                                  = 3649.84 - 3316.57

                                  = 333.27 cube inches

The difference of the volumes of the basketball and baseball is 333.27 cube inches.

Answer:

It would be D

Step-by-step explanation:

Answer:

I think the answers would be :

a . 4/3

b. 1/5

c . - 5/4

hope it helps u ^^