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pentagon [3]
2 years ago
11

A package of nine 12-ounce cans of cola costs $7.50. A half-gallon bottle of the same cola is sold for $2.90. Which cola has a c

heaper price, the cans or the bottle?
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Answer:

Cola bottles are cheaper. Mark me brainliest!

Step-by-step explanation:

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I Need help with 1-5
natta225 [31]

Answer:

1)=0

2)

\frac{ \sqrt{3} }{?2}

3)

\sqrt{3}

4)

2 +  \sqrt{3}

5) I don't know that one.

3 0
2 years ago
Evaluate this expression 8(12+15)+4
Sonbull [250]

Answer:

the answer is 220

Step-by-step explanation:

8(27)+4

216 + 4

220

7 0
3 years ago
Math question. Please help
yanalaym [24]
To find the perimeter of the triangle, you need to know the length of the hypotenuse (h). Use the Pythagorean theorem to find it.
.. h^2 = (4w)^2 + (15/2*w)^2
.. = w^2*(4^2 +(15/2)^2)
.. = w^2*(16 +56 1/4)
.. = w^2*(72 1/4)
Taking the square root, we find the hypotenuse to be
.. h = √(w^2*72.25) = 8.5w = (17/2)w

Now, the length of the triangle's perimeter is the sum of the lengths of the sides.
.. P = 4w +(15/2)w +(17/2)w
.. P = 20w

The area of the triangle is half the product of base and height:
.. A = (1/2)(4w)(15/2*w)
.. A = 15w^2

So, the ratio of perimeter to area is
.. P/A = (20w)/(15w^2) = 4/(3w) . . . . . . . . simplified expression for P/A

The problem is asking you to find (and graph) the values of w such that
.. P/A < 1
.. 4/(3w) < 1 . . . . . . substitute our value of P/A
.. 4/3 < w . . . . . . . . multiply by w

This is graphed with an open circle around the point 1 1/3, and a solid arrow to the right of that circle. The open circle shows that w=4/3 is NOT a solution, but all values greater than that are.

3 0
3 years ago
The relationship shown is linear. Write the equation of the line in slope intercept form (y=mx+b).
slega [8]

Answer:

y=mx+b                Example:

Graph the equation

y−2x=1

rewrite in slope-intercept form

y=2x+1

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

picture23

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

picture24

And once you have your second point you can just draw a line through the two points and extend it in both directions.

picture25

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

y−2x=1

3−2⋅1=3−2=1

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

y=mx

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

f(x)=mx+b

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

f(x)=x

Step-by-step explanation:

5 0
3 years ago
after henry gave away 2/3 of his stamps and ken gave away 3/4 of his the two boys had an equal number of the stamps left. they h
Anna35 [415]

Answer:

See below.

If the correct sum is 1155, then Ken had 495 stamps, and Henry had 660 stamps.

Step-by-step explanation:

Henry had h stamps.

Ken had k stamps.

After giving away 2/3 of his stamps, Henry ended up with 1/3 of his stamps, or h/3.

After giving away 3/4 of his stamps, ken ended up with 1/4 of his stamps, or k/4.

h/3 = k/4

h + k = 1156

4h = 3k

h = 1156 - k

4(1156 - k) = 3k

4624 - 4k = 3k

4624 = 7k

k = 4624/7

Stamps left: 0.25 × 4624/7 = 1156/7

h = 1156 - k

h = 1156 - 4624/7

h = 8092/7 - 4624/7

h = 3468/7 =495.43

Stamps left: 1/3 × 3468/7 = 1156/7

Total number of stamps left: 1156/7 + 1156/7 = 2312/7 = 330.29

The problem is solved correctly, but the numbers given must be incorrect since you cannot have a fraction of a stamp.

3 0
2 years ago
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