Answer: 31 & 42
<u>Step-by-step explanation:</u>
1st #: x
2nd #: x + 11
1st# + 2nd# = sum
x + x + 11 = 73
2x + 11 = 73
2x = 62
x = 31
2nd #: x + 11 = 31 + 11 = 42
Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.
To find: Who can buy which ribbon
Solution:
Ribbon Sizes
1 2/3 = 5/3 yard
4/5 yard
3 1/2 = 7/2 Yard
Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon
Yu bought 3 pieces of ribbon
=> 3 * 5/3 = 5
3 * 4/5 = 2.4
3 * 7/2 = 10.5
Nailah bought 5 pieces of ribbon
=> 5 * 5/3 = 8.33
5 * 4/5 = 4
5 * 7 /2 = 17.5
Elena bought 6 pieces of ribbon
=> 6 * 5/3 = 10
6 * 4/5 = 4.8
6 * 7 /2 = 21
Only value between 7 & 9 is 5 * 5/3 = 8.33
hence Nailah only can buy 1 2/3 = 5/3 yard ribbon
or there is some mistake in the data
The first one is D because c represents the x and b represents the y. For the second one:
38(2) = 76
180-76 (this is the sum of the unknown measures)
104/2 (finds the measure of each angle)
52
I am unsure of the final one though.
Hope this helps!
Answer:
The Value of Payments is P18,557.15
Step-by-step explanation:
The quarterly payment is an annuity payment.
Use the following formula to calculate the present value of the payments.
PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates
Where
Annuity Payment = Quarterly payment = P1,300
Interest rate = 5.12% x 3/12 = 1.375%
Numbers of periods = 4 years x 12/3 = 16 quarters
PV of Annuity = Value of Payments = ?
Placing values in the formula
Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%
Value of Payments = P18,557.15
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
