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2 years ago

What is the answer for number 1?

Mathematics

1 answer:

Flura [38]2 years ago

7 0

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

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Sameena buys x packets of batteries and y boxes of batteries write down and expression, in terms of x and y, for the total numbe

shusha [124]

Answer:

4x plus 20y

Step-by-step explanation:

4 times x plus 20xy

4x plus 20y

3 0

2 years ago

Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t

Travka [436]

Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

$y = 4x + 12.75$
We insert what x is which in this case is $3
$y = 4(3) + 12.75$
Order of Operations tells us to multiply first:
$y = 12 + 12.75$
Now add your values:
$y = 24.75$
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

$24.75 = 4x + 12.75$
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

$24.75 - 12.75 = 12.75 - 12.75 + 4x$
We are left with:

$12 = 4x$
We divide:
$\frac{12}{4} = \frac{4x}{4}$
Our result is:
$3 = x$
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.

4 0

3 years ago

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool

Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0

2 years ago

2(4x-1)+3=7<br> i'm little confused on this

Ratling [72]

Answer:

x = $\frac{3}{4}$

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = $\frac{6}{8}$ <----- to reduce, divide the numerator and denominator by 2

Hence,

x = $\frac{3}{4}$

4 0

2 years ago

If you a 1hour long test and you have 10 question home many minutes would you spend on each question if you used the whole hour

lord [1]

Answer:

It would take you 10 minutes on each question. Answer is 10 minutes

Step-by-step explanation:

Because you have one hour to answer 10 questions and it should take you 10 minutes.

5 0

2 years ago