Answer:
For 5 packets of flavoring, ounce of water = 60.
For 84 ounces of water, number of packets of flavoring = 7.
For 10 packets of flavoring, ounce of water = 120.
For 144 ounces of water, number of packets of flavoring = 12.
Step-by-step explanation:
From the table, it is clear that the ratio between the packets of flavoring to ounce of water is 2:24 = 1:12.
So, for 5 packets of flavoring, ounce of water = 5 × 12 = 60.
For 84 ounces of water, number of packets of flavoring = 7 × 1 = 7.
For 10 packets of flavoring, ounce of water = 10 × 12 = 120.
For 144 ounces of water, number of packets of flavoring = 12 × 1 = 12.
Please refer to the attached table.
Divide the perimeter by 5 since it is regular. 60/5 = 12. Split the hexagon into a triangle and a rectangle. Find the area of each and add them together. Area of the rectangle is 12*12 = 144. To find the area of the triangle, you need to find an angle measure= y, hypotenuse = c, and a leg = a or b. An easy way to find an angle measure is to cut down the altitude and find the angle next to the base and altitude which would be 90
° due to the fact that the triangle is regular also. With the regular triangle split in half, you have two right angle which form both 90-45-45 triangles. Use this formula,
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to find the area of the triangle which equals to 50.91. Add (((144+50.91 = 194.91))) I hope I got this right if not, i'm sorry lol.
Answer:
Answer 1.
Step-by-step explanation:
The complete question is:
The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?
1. The image of the line has the same slope as the pre-image but a different y-intercept.
2. The image of the line has the same y-intercept as the pre-image but a different slope.
3. The image of the line has the same slope and the same y-intercept as the pre-image.
4. The image of the line has a different slope and a different y-intercept from the pre-image.
Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).
Consider also a line of equation . From this equation, the slope of the line is given by the number and the y-intercept is given by .
Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get
which is equivalent to
Note that comparing the equations 3x-5y=4 and the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.
Step-by-step explanation:
-5x+8y=-4
6x-8y=-12 8y and 8x cancel out
x=-16
To solve for y, substitute x=-16 back into the first equation
-5(-16)+8y=-4
80+8y=-4
8y=-84
y=-10.5