Hi!
We will solve this using proportions. Let x be the cost for 12 ounces of cheese. We will start like this:
15 ounces : 6 $ = 12 ounces : x $
x $ = (6 $ * 12 ounces)/15 ounces
x $ = 72 $/15
x = 4,8$
The cost of 12 ounces of cheese is 4,8$.
Hope this helps!
Answer:
Step-by-step explanation:
I don't know what a tape diagram is but I can give you the equation and the answer.
Let Victor have x points
Let Maria have y points
y = x + 424
y/x = 5/3 Cross multiply
3y = 5x Divide by 3
y = 5x/3 I Could have just multiplied by x
y = x + 424
5x/3 = x + 424 Multiply both sides by 3
5x = 3x + 1272 Subtract 3x from both sides.
5x-3x = 1272 Combine the left.
2x = 1272 Divide by 2
2x/2 = 1272/2
x = 636
Victor Scored 636 points
Maria Scored 636 + 424 = 1060
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
<em />
<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:

Step-by-step explanation:
To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is
. Then solve for y.
Distribute -3 to
,

Then, add -2 to both sides,

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.