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Dmitry [639]
3 years ago
14

Note: picture not drawn to scale

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer: C. 314 cm2

Step-by-step explanation:

The equation for the area of a circle is: pi * radius squared. First, 10 squared is 100. 100 times 3.14 is 314.

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Food a baker sells bread for $3 a loaf and rolls for $1 each. the baker needs to sell $24 worth of baked goods by the end of the
Veseljchak [2.6K]

Answer:

3x+y=24

Step-by-step explanation:

Let the loaves sold be x and rolls sold be  y.

Given:

Cost for 1 loaf of bread = $3

∴ Cost of x loaves of bread = 3x

Cost of 1 roll of bread = $1

∴ Cost of y rolls = 1y

Total cost of the baked goods = $24

Therefore, as per question,

3x+1y=24\\3x+y=24

Now, the graph is shown below.

The vertical axis represent the rolls sold and the horizontal axis represent the loaves sold.

Draw a horizontal line from 12 mark on the vertical axis to the given line to meet at point A. Now, from point A, draw a vertical line to meet the horizontal axis at point B. Point B is the number of loaves sold.

From the graph, loaves sold are 4 when rolls sold are 12.

6 0
3 years ago
Let f(x)=5x+4 and g(x)=x^2-7x+12<br> Perform the function operation f(x)•g(x)
enyata [817]

Answer:

Step-by-step explanation:

(5x + 4)(x^2 - 7x + 12)

5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48

5x^3 - 31x^2 + 32x + 48

7 0
3 years ago
A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
Stels [109]

Answer:

The answer is below

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:

a) This can be represented by the equation:

y = 450 -  20x

At 7 minutes (x = 7)

y = 450 - 20(7)

y = 310 gallons

b) For 200 gallons (y = 200), the time taken is:

200 = 450 - 20x

200 - 450 = -20x

-20x = -250

x = -250/-20

x = 12.5 minutes

c) y = 450 - 20x

d) The graph was plotted using geogebra onling graphing calculator.

e) When the tank is empty, y = 0, hence

0 = 450 - 20x

20x = 450

x = 450 / 20

x = 22.5 minutes

6 0
3 years ago
What is the value of the expression below when z=2<br><br> 4z2-3z-4 please help
Phoenix [80]
The answer is 4z squared - 3z - 4
6 0
3 years ago
What is this expression in simplrest form 24v/3v
olasank [31]
If you would like to know what is the following expression in the simplest form, you can calculate it like this:

If you 24v / 3v divide by v, you will get 24 / 3. Now, if you divide 24 by 3, you will get 8.

The simplest form of 24v / 3v would be 8.
8 0
3 years ago
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