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asambeis [7]
3 years ago
7

Mrs. Hanson has 2 pies for a party. She calculates that if she splits the pies evenly among the guests, they will each receive 1

/8 of a pie. How many guests are there?
Mathematics
2 answers:
brilliants [131]3 years ago
4 0
There are 32 guests.
Proof: 1*8*2=32.
Vikki [24]3 years ago
4 0

The answer is actually 16, half of 32  1/8 x 1/2 = 2/16 divided by 2/2 = 1/8 but since you don't need to simplify only use the denominator of 2/16 or only need to multiply 8 and 2.

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Write f(x)=8x^2-4x+11 in vertex form
Vlad [161]

Answer:

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}

or

f(x)=8(x-0.25)^{2}+10.5

Step-by-step explanation:

we have

f(x)=8x^{2}-4x+11

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

f(x)=8(x^{2}-\frac{1}{2}x)+11

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}

Rewrite as perfect squares

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2} ----> equation in vertex form

or

f(x)=8(x-0.25)^{2}+10.5

The vertex is the point  (0.25,10.5)

3 0
3 years ago
A. 10%<br> B. 21%<br> C.30%<br> D.34%<br> E.49%
Tems11 [23]

Answer:

34% see explanation below

Step-by-step explanation:

The total number who likes pizza is 73 and the total number of people surveyed is 215

So it'll just be 73/215 × 100 (for the percentage)

7 0
2 years ago
Read 2 more answers
How are operations with variables like operations with real numbers?
amid [387]

Answer:

The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.

6 0
3 years ago
What is the measure of Angle c? 3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 1
ivann1987 [24]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
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The appropriate mixing ratio for a solution to kill bloodborne pathogens is 1 part chlorine to 10 parts water. If you are mixing
lorasvet [3.4K]
The ratio is:
Chlorine : Water = 1 : 10
m ( Water ) = 15 ounces
m ( Chlorine ) = x
x : 15 = 1 : 10
10 x = 15 * 1
10 x = 15
x = 15 : 10
x = 1.5 ounces
Answer:
We need to add 1.5 ounces of Chlorine for the correct ratio.
8 0
3 years ago
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