Answer:
A minimum of 10 dimes and 11 quarters is what Alexandra will have
Step-by-step explanation:
Let
d = number of dimes
q = number of quarters
Since she has 21 coins altogether,
d + q = 21------------------------equation 1
- If these coins are worth $3.75 then
0.10 x d + 0.25 x q = 3.75
- which is 0.10d +.25q =3.75
--------------------------equation 2
where $.10 is the value of one dime and $.25 is the value of one quarter
make d the subject of formula from equation 1 d = 21 -q----------equation 3
insert it in equation 2
0.10d +0.25q =3.75
0.10(21-q) + 0.25q = 3.75
0.1(21)-0.1q+0.25q=3.75
2.1 +0.15q = 3.75
0.15q = 3.75-2.1 = 1.65
q = 1.65/0.15 =165/15 =11
- since we have the value of q insert in equation 3
d = 21 - q
d = 21-11
d = 10
Alexandra has 10 dimes and 11 quarters.
from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have
We are given equation c=50p.
c is the total cost and p is the number of people.
Let us take number of people by groups of 10, 20, 30,40 people.
Note: We can take any positive integer for number of people in a group.
Now, we need to plug p=10, 20, 30,40 one by one in given function c=50p to find the costs c.
Plugging p=10, we get
c= 50*10 = 500.
Plugging p=20, we get
c= 50*20 = 1000.
Plugging p=30, we get
c= 50*30 = 1500.
Plugging p=40, we get
c= 50*40 = 2000.
So, we can create a table as.
Number of people (p) Total cost (c)
--------------------------------------------------------------------
10 500
20 1000
30 1500
40 2000
Answer:
y -5 = (3/4)(x -6)
Step-by-step explanation:
Between the two points, the line has a rise of 6 and a run of 8. Thus, the slope is ...
... m = rise/run = 6/8 = 3/4
The point-slope form of the equation of a line with slope m through point (h, k) is ...
... y - k = m(x - h)
For point B, (h, k) = (6, 5), so filling in the values gives ...
... y - 5 = (3/4)(x - 6)
Answer:
m = 
Step-by-step explanation:
Given
x = b + my ( subtract b from both sides )
x - b = my ( divide both sides by y )
= m
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
