Hello,
A nickel is $0.05
A dime is $0.10
Let's x the number of dimes
44-x the number of nickels
0.10*x+0.05*(44-x)=3.10
==>10x+5*(44-x)=310
==>10x-5x=310-5*44
==>5x=90
==>x=18
There are 18 dimes and 44-18=26 nickels having a value of 26*$0.05=$1.30
Answer B
R1t+t/2.5=1, we are told it takes both 1.5 hours so
1.5r+0.6=1
1.5r=0.4
r=4/15
So for this other pipe to fill the pool by itself...
4t/15=1
4t=15
t=15/4
t=3.75 hours
check..
4t/15+t/2.5=1
(4t+6t)/15=1
10t=15
t=15/10
t=3/2
t=1.5 hours, correct (for both pipes filling the pool)
Answer:
The slope of the line is -2
Step-by-step explanation:
<em>The rule of the slope of a line is</em>:
, where
and 
are two points on the line
<em>Let us find the slope using the rule above</em>
∵ The line passes through points (3, -7) and (-1 , 1)
∴ 
= 3 and 
= -1
∴ 
= -7 and 
= 1
<em>Substitute these values in the rule above to find m</em>
∴ 
∴ The slope of the line that passes through the given points is -2
Answer:
Y-intercept = -1
Step-by-step explanation:
Convert to slope-intercept form:
y-14 = 6(x-2.5)
y-14 = 6x-15
y = 6x-1
Therefore, the y-intercept is -1
Answer:
ratio = 4/3 = 1.3333
Step-by-step explanation:
If Jacob makes 20 baskets for every 35 times he shoots the ball, that means he misses 35 - 20 = 15 shoots for every 35 shoots.
So, to calculate the ratio of baskets he makes to baskets he misses, we just need to divide these values:
baskets he makes = 20 for every 35
baskets he misses = 15 for every 35
ratio = 20 / 15 = 4 / 3 = 1.3333
