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3 years ago

Which value is the solution of the equation 8.25r = 554.4?

Mathematics

2 answers:

jolli1 [7]3 years ago

5 0

Answer:

R=67.2

Step-by-step explanation:

8.25r=554.4

divide 8.25 from both sides

r=554.4/8.25=67.2

so, r=67.2

zloy xaker [14]3 years ago

4 0

Answer:

r = 67.2

Step-by-step explanation:

Step 1: Solve

Use reverse operations to solve for 'r'

$8.25r=554.4\\\frac{8.25r}{8.25}=\frac{554.4}{8.25}\\r=67.2$

Step 2: Therefore Statement

Therefore 'r' is equal to 67.2

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you earn 0.85 for every cup of hot chocolate you sell how many cups do you need to sell to earn 55.25

aniked [119]

Answer:

<u>65 </u>cups of hot chocolate.

Step-by-step explanation:

55.25/0.85 = 65

5 0

3 years ago

Read 2 more answers

The circumference of a circle is 9.45cm.

Fudgin [204]

Answer:

D = 3 cm

Step-by-step explanation:

Given that,

The circumference of a circle is 9.45cm.

We need to find the length of the diameter.

The formula for the circumference of a circle is given by :

$C=2\pi r$

We know that, Diameter = 2r

So,

$C=D\pi\\\\D=\dfrac{C}{\pi}\\\\D=\dfrac{9.45}{\pi}\\\\D=3\ cm$

So, the length of diameter is equal to 3 cm.

8 0

3 years ago

Jackson currently has $35 in his bank account, and he is saving $15 a week to eventually buy a new cell phone. He can represent

RSB [31]

Answer:

Answer:

1. We have our function y = 15x + 35

a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.

b) Where the y represents the total money he has, which is the dependent variable.

c) the slope is 15, as x increments, the slope goes up by 15.

d) The y-intercept is 35, because when x = 0, y = 35.

2. To create the table you have to find the value of y, knowing the values of x.

Using our function, when x = 0

y = 15(0) + 35

y = 0 + 35

y = 35

Using our function, when x = 1

y = 15(1) + 35

y = 15 + 35

y = 50

Using our function, when x = 2

y = 15(2) + 35

y = 30 + 35

y = 65

Using our function, when x = 3

y = 15(3) + 35

y = 45 + 35

y = 80

Using our function, when x = 4

y = 15(4) + 35

y = 60 + 35

y = 95

Using our function, when x = 5

y = 15(5) + 35

y = 75 + 35

y = 110

Yes, the table is proportional, because for each week, the value of his money is increasing by 15.

3. To create the graph, you can put the values of the table into the graph

And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.

In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,

after a week: $50,

after two weeks: $65,

So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.

4 0

3 years ago

Express your answer as a polynomial in standard form.

Juli2301 [7.4K]

Answer:

(f o g)(x) = -2x² - x + 4

Step-by-step explanation:

f(x) = -x + 6

g(x) = 2x² + x + 2

To find (f o g)(x), you need put g(x) into f(x).

f(x) = -x + 6

(f o g)(x) = -(2x² + x + 2) + 6

(f o g)(x) = -2x² - x - 2 + 6

(f o g)(x) = -2x² - x + 4

8 0

3 years ago

The area of the square, the

const2013 [10]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area of the square is π/4

The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*π $r^{2}$

The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V = 1/3*h*4 $r^{2}$

=> the ratio of volume of the cone to the pyramid is:

= $\frac{V1}{V2}$

= (1/3*h*π $r^{2}$ ) / ( 1/3*h*4 $r^{2}$ )

= π/4

S we can conclude that the volume of the cone equals π/4 the volume of the pyramid

Hope it will find you well.

7 0

3 years ago