Greetings!
"<span>The difference of six times a number and 7 is -49"...
In number and variables, this would be:
</span>

<span>
Add
7 to both sides.
</span>

<span>Simplify.
</span>

Divide both sides by
6.

Simplify.

Hope this helps.
-Benjamin
Answer:
Center = (5,-3) and radius = 7
Step-by-step explanation:
(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.
(6) The given equation is :

The general equation of circle is given by :
...(1)
Where
(a,b) are the coordinates of the centre and r is the radius.
The given equation can be written as :
..(2)
Comparing equation (1) and (2) we get :
a = 5, b = -3 and r = 7
So,
Center = (5,-3) and radius = 7
Hence, this is the required solution.
Answer:
Juan would need to fill up the 1/4 measuring cup 24 times.
Step-by-step explanation:
So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!
Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>
<h3>Answer:</h3>
A. False:
.... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>
B. True .... you just add all sides, each is 4 times bigger
C. False ... by definition of dilation, the sides grew
D. True... Size changed, but the shape stayed the same (so, did the angles)
The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:
27 + 0.05m >= 90.70
Now we can solve this equation for m.
27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274