Answer: The equation is y = 3.25 + 7.5x and Todd bought 11 pictures
Step-by-step explanation:
Answer:
The answer is
Step-by-step explanation:
First you have to find the radius of sphere by dividing diameter by 2 :
Let diameter = 14,
Next you have to use the volume of sphere formula :
Let r = 7,
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
Answer:
Option A.) 43°
Step-by-step explanation:
Part 10)
step 1
Find the length of side EG
see the attached figure to better understand the problem
we know that
In the right triangle EGF
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
solve for EG
step 2
Find the measure of angle D
In the right triangle DEG
----> by TOA (opposite side divided by adjacent side)
substitute the given values
Answer:
I hope this right
Step-by-step explanation:
16 in for the suface area so sorry if wrong
