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:

Incomplete problem, read the step-by-step.

Step-by-step explanation:

$1200-$300=$900

5% of $900 is $45

You didn't say if the 5% is per month or per year, if you want more help, comment on this answer the per year/whatever/month and then I'll help you further into this word problem.

Hope this helped! :)

A semi circle is half a full circle. Find the area of the full circle and divide it by 2.

Area of a circle = pi x r ^2

R is half the diameter

Area of full circle:

Area = 22/7 x 21^2

Area = 1386 sq. Ft

Area of stage = 1386/2 = 693 square feet

Answer:

3.14 x 42 x 42 = 5538.96ft

If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.

Step-by-step explanation:

:))

Answer:

B

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer: C (depends on what order it’s in)

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

The answer to question 1/3 (-10)(9) is -30.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

40 m

Step-by-step explanation:

8/12=x/60

x=(8*60)/12

x=40

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,

[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]

[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]

Hence, the height of the building when it cast a shadow of 60 meters is 40 m.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer:

x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

6 Pi

Step-by-step explanation:

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Answer:

the answer to the question is 1

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Step-by-step explanation:

To Find :-

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

Answer:

The answer is 256

Step-by-step explanation:

You just have to get the divisor  

(

40

)

and multiply by the quotient  

(

6

)

, then add the remainder  

(

16

)

.

So we have:  

(

40.6

)

+

16

=

256

The number is 276.

Let us assume that the number is N.

So according to the question we can say that

N= 15(18) +1

because dividend= divisor x (quotient) + remainder and quotient is odd.

 So now, N (on expanding) =15 × 18 + 5

                                              = 275

So if N is divided by 15 the remainder would be  275+1=276.

Learn more about Parts of a Division Problem brainly.com/question/15305334 here.

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