Amy ran 3/4 mile write the distance amy ran as a decimal

Answers

Answer 1

Answer: we just need to perform the indicated division:
3/4 = 0.75
that is the solution as decimal, they are equivalent

Answer 2

Answer: Solutions

To convert fraction to decimal divide the numerator by denominator.

3 ÷ 4 = 0.75

0.75 is decimal

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Using the completing-the-square method, find the vertex of the function f(x) = 5x2 + 10x + 8 and indicate whether it is a minimum or a maximum and at what point.a. maximum (1,8)
b. minimum (1,8)
c. maximum (-1,3)
d. minimum (-1,3)

Answers

Answer : d. minimum (-1,3)

$f(x) = 5x^2 + 10x + 8$

The vertex form of quadratic function is

$f(x) = a(x-h)^2 + k$ , where (h,k) is the vertex

To get vertex form we apply completing the square method

To apply completing the square method , there should be only x^2

So we factor out 5 from from first two terms

$f(x) = 5(x^2 + 2x) + 8$

Now we take the number before x (coefficient of x) and divide by 2

$(2)/(2)$ =1

Now square it

$(1)^2 =1$

Add and subtract 1 inside the parenthesis

$f(x) = 5(x^2 + 2x + 1 - 1) + 8$

Now we take out -1 by multiplying 5

$f(x) = 5(x^2 + 2x + 1) -5 + 8$

$f(x) = 5(x^2 + 2x + 1) + 3$

Now we factor x^2 +2x+1 as (x+1)(x+1)

$f(x) = 5(x+1)(x+1) + 3$

$f(x) = 5(x+1)^2 + 3$

h=-1 and k=3

So vertex is (-1,3)

When the value of 'a' is negative , then it is a maximum

When the value of 'a' is positive , then it is a minimum

$f(x) = 5x^2 + 10x + 8$ is in the form of $f(x) = ax^2 + bx + c$

The value of a is 5

5 is positive so it is a minimum

f(x) is minimum at point (-1,3)

The vertex form is a(x-h)²+k, where (h,k) are the coordinates of the vertex.

$f(x)= \n 5x^2+10x+8= \n5(x^2+2x)+8= \n5((x^2+2x+1)-1)+8= \n5((x+1)^2-1)+8= \n5(x+1)^2-5+8= \n5(x+1)^2+3$

The coordinates of the vertex are (-1,3).

The coefficient of x² is positive, so the parabola opens upwards and the vertex is the minimum of the function.

The answer is d.

Evaluate an algebraic expression of 8x - y for the given values of x = 3 and y = 4. a. 29 b. 25 c. 24 d. 20

Answers

8x = 24
24- y = 20

the correct answer is D

A golf course in Phoenix, Arizona, uses an average of 80 million gallons of water daily for irrigation. An average family of four (also living in Phoenix, AZ) uses 325,851 gallons of water per year. Rounded to the nearest ten, how many families of four can one golf course provide water for?

Answers

Answer:

89610 family

Step-by-step explanation:

An average family of four (also living in Phoenix, AZ) uses 325,851÷365 gallons of water per day

then

An average family of four (also living in Phoenix, AZ) uses 892.74247 gallons of water per day

therefore

the number of families of four can one golf course provide water for :

80 000 000÷892.74247=89611.509

the number of families of four can one golf course provide water for :

[rounded to the nearest ten] 89610.

Answer:

Around 250 families can be provided with one golf course.

Step-by-step explanation:

Givens

A golf course uses 80 million gallons of water daily.
A family of four uses 325,851 gallons of water per year.

This situation can be described by the following equation

$325,851x=80,000,000$

Where $x$ indicates the number of families that could use the 80 million galons of water.

Let's solve for $x$

$x=(80,000,000)/(325,851)\n x \approx 250$

Therefore, around 250 families can be provided with one golf course.

CJ went out to eat. He wanted to tip 18% because he got exceptional service. His bill (before tip) was $18.47. What was the total bill including tip?

Answers

Answer:$21.79

Step-by-step explanation:

If the original cost is 18.47 and you want to tip 18% tip the tip you would tip is 3.32 and if you add that to 18.47 you will get 21.79

how tall are sally and anna if sally is 0.1m taller than anna and their combined height is 3.16 meters

Answers

Anna = a
sally = 0.1 + a
a + s = 3.16
a + 0.1 + a = 3.16
2a = 3.16 - 0.1
2a = 3.06
a = 1.53
s = 0.1 + 1.53
s = 1.63

set up a simple equation with S FOR SALLY AND A FOR ANNA LOOKS LIKE THIS A+(A+.1)=3.16

What is a proportional relationship

Answers

The relationship between two datas which are proportional to each other in some manner is called "Proportional Relationship".

For example, oranges are sold in a bag of 5 for $2.The ratio of oranges to their cost is 5:2 or . If I bought 20 oranges, Icould set up a proportion to determine my cost.

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