a vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $152.80 with a sale of 328 items. how many packages of chips were purchased last month

Answers

Answer 1
Answer: 112 bags of chips

The solution to the system of equations gives 112 chips and 216 candy.
The equations to solve are 

x + y = 328
.40x + .50 y = 152.80

(x = the number of chips and y = the number of candy)

Answer 2
Answer: x = 40 cents bags, y = 50 cent bags

x + y = 328...x = 328 - y
0.40x + 0.50y = 152.80

0.40(328 - y) + 0.50y = 152.80
131.20 - 0.40y + 0.50y = 152.80
-0.40y + 0.50y = 152.80 - 131.20
0.10y = 21.60
y = 21.60/0.10
y = 216 <=== total 50 cents bags sold

x + y = 328
x + 216 = 328
x = 328 - 216
x = 112 <=== total 40 cents bags sold



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What is the ratio of 33/36

Answers

all you have to do is find a number that both of them is divisible by and divide it by them. for example, when you divide it by 3, you will get 11/12
11/12 Divide both by 3.

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
y =2/x^(2) + 3

Answers


We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3. 

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Answers

Answer:

12 mph

Step-by-step explanation:

Step 1: Convert 15 minutes to hours

15/60

1/4

0.25 hours

Step 2: Divide 3 by 0.25 hours

12 mph

What is the square root of 16

Answers

the square root of 16 is 4 you do 4x4=16

Find the solution of the square root of the quantity of x plus 3 plus 6 equals 9 and determine if it is an extraneous solution. ( A. x=0 extraneous; B. x=0 non-extraneous; C. x=6 extraneous; D. x=6 non-extraneous)

Answers

√(x+3)+6=9
minus 6 both sides
√(x+3)=3
squar both sides
x+3=+/-9
minus 3 both sides
x=6 or -12

sub to see
√(6+3)+6=9
√(9)+6=9
3+6=9
9=9
true

other one
√(-12+9)+6=9
√(-9)+6=9
false (means this is an extranious answer)


x=6 and it is not extranious
D


72 is anres



Answer:

X=6 not extraneous

How might this number be shown on a calculator?
4.117x10-29

Answers

The way that the number 4117 × 10⁻²⁹ can be shown on a calculator is; 4117 × 10⁻³²

How to write a number in standard form?

The standard form of a number is a way of writing the number in a form that follows certain rules.

Now, we can also write a number in scientific notation but then a calculator usually writes these types of number with exponent powers in standard form.

For example there is usually no decimal in standard form but instead whole numbers. Thus;

4.117 × 10⁻²⁹ when expressed again can be written as;

4117 × 10⁻²⁹ × 10⁻³ = 4117 × 10⁻³²

Read more about standard form at; brainly.com/question/19169731

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