Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
is an equation representing the total number of coins
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get
. We now substitute this for d in the second equation.

After simplifying, we subtract 6 across and divide by the coefficient of q.

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.
Answer:
6x + 5/6
Step-by-step explanation:
2(x + 1/4) + 2(2x + 1/3)
2x + 1/2 + 4x + 2/3
6x + 5/6
Answer:
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 9 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=πr2h=π·12·9≈28.27433
Volume of cylinder rounded to nearest tenth is 28.27 cubic inches .
Answer:
=
+ 6
Step-by-step explanation:
The terms have a common difference d between consecutive terms, that is
10 - 4 = 16 - 10 = 22 - 16 = 6
To obtain the next term add 6 to the previous term ( recursive rule ), thus
=
+ 6 with a₁ = 4