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maksim [4K]
3 years ago
8

Carter's mom has ¼ of a pan of brownies leftover. If Carter and two of his friends share the leftover brownies equally, what fra

ction of the whole pan of brownies will each friend get?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

x/12

Step-by-step explanation:

1/4 of a pan of brownies leftover.

=1/4 of x

=1/4*x

=x/4

If Carter and two of his friends shares the leftover=3 people

Each friend will get

x/4÷3

=x/4×1/3

=x/12

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If there are 9 girls and 11 boys in a class, what percentage of the class are girls
viva [34]
1. Find the total number of class members
    9 + 11 = 20

2. Find 9 as a percentage of 20
    9 / 20 = 0.45
    0.45 x 100 = 45%

<u>45% of the class are girls.</u>
6 0
3 years ago
Simplify using order of operations.Show all your work. 4^3 + (`10-8) divided by 2
Igoryamba

Answer:

<h2>65</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

------------------------------------------------------------------------

4^3+(10-8)\div2=64+2\div2=64+1=65

3 0
3 years ago
Each set of (x, y) values represent a set of equivalent ratios. Find the ratio of x to y for each set to determine which set des
Assoli18 [71]
Answer: The correct set is choice D.

We are looking for the same ratio with the given set of measurements. So lets start by determine the ratio of nuts to raisins. It is 40.5 to 48.6 or reduced it is 5 to 6. If you divide the fraction, you get the decimal 0.83333.

Only one of the relationships given has the same ratio. It is choice D.  11 to 13.32 can be divided to get 0.83333.
5 0
3 years ago
Read 2 more answers
Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

f(x)=\frac{(x-1)(x^2-4)}{x^2-a}

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

so, the value x=\sqrt{a} = \sqrt{1} = 1 won't annulate the denominator.

Now, for a = 4 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1

so, the value x=\sqrt{a} = \sqrt{4} = 2 won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0
3 years ago
A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.
jolli1 [7]

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

8 0
2 years ago
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