Answer:
<h2>
Q 11. A and E</h2><h2>
Q 12. A</h2><h2>
Q 13. 4/3 cups of sugar</h2>
Step-by-step explanation:
The points (1, 3) and (15, 45) are proportional to point (3, 9) since they correspond with each other so if you multiply the point (1, 3) by a factor of 3, it would be (3, 9). If you divided the point (15, 45) by a factor of 5, it would be (3, 9).
In this equation, 2.95 represents the price of the gallons since it is being multipied by g, or the number of gallons.
If you were to multiply 2/3 cup of sugar and 1/2 cup of flour by 2, I would get 4/3 cups of sugar and 1 cup of flour. Why did I do this? Well, she uses 1 cup of flour so you can divded 1 by 1/2 is which 2.
Hope this helps, you can ask me why certain choices were not correct if you'd like.
The answer is true.
For example lets say the numbers given are 1, 5, 9, ...
To find the common difference, you subtract the 1st term from the 2nd term. In this case, we would do 5 - 1, which equals 4.
We must add the common difference to the last term in order to find the next term. Since the common difference is 4, we add 4 to 9, which makes 13. This applies only in the arithmetic sequence.
<span>the sum of three consecutive odd integers is 69. Find the integers.
-------------
1st: 2x-1
2nd: 2x+1
3rd: 2x+3
---------------------
Equation:</span>2x-1 + 2x+1 + 2x+3 = 69<span>
</span><span>6x + 3 = 69
2x + 1 = 23
-----------------
So 2x-1 = 21
And 2x+3 = 25
</span><span>let:
x be the first odd integer
x + 2 be the 2nd odd integer
x + 4 be the 3rd odd integer
solution:
1st odd integer + 2nd odd integer + 3rd odd integer = 69
x + (x+2) + (x+4)= 69
</span>
<span>3x + 6 = 69
3x = 69 - 6
3x = 63 (dividing both sides by three)
x = 21
_______________________________________
x=21
x+2=23
x+4=25
therefore, the 1st integer is 21, the 2nd is 23 and the 3rd is 25..</span>
Answer:
Set p =4
Set q=25
Step-by-step explanation:
Range is highest value minus lowest value
Set P=5-1=4
Set Q=26-1=25
Answer:
B = 68° and C = 22°
Step-by-step explanation:
Let angle B's measure be B and angle C's measure be C.
Also note that complementary means that they sum to 90.
Now:
<u>The m∠B is two more than three times the measure of ∠C:</u>
we can write:
B = 3C + 2
<u>If ∠B and ∠C are complementary angles:</u>
B + C = 90
Putting 1st equation in 2nd, we get:
B + C = 90
3C + 2 + C = 90
4C = 90 - 2
4C = 88
C = 88/4 = 22
Now B = 3C + 2, so
B = 3(22) + 2 = 68
Hence, B = 68 degrees and C = 22 degrees
