Answer:
<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>
Step-by-step explanation:
1. Let's review the information given to us to solve the problem correctly:
Number of red marbles = 10 more than blue marbles
Number of yellow marbles fewer than blue marbles
2. How many of each color marble could Jack have?
r = Number of red marbles
b = Number of blue marbles
y = Number of yellow marbles
r = b + 10
y < b
If y = 1, then b ≥ 2, and r = b + 10,
fulfilling the three conditions, we have:
<u>y = 1, b = 2, and r = 12</u>
Hope this is a help for u
3x
30
Answer:
$22
Step-by-step explanation:
Money raised = $506.
People on trip = 23
Money per person = $506/23
Money per person = $22
Answer:
The equation of line a is y = x
The equation of line b is y = 
x
Step-by-step explanation:
The equation of the proportional is y = m x, where
- m is the slope of the line (constant of proportionality)
The rule of the slope of a line is m = 
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = 
∴ m =
→ Substitute in the form of the equation above
∴ y = () x
∴ y = x
∴ The equation of line b is y = x
Answer:
To express percentages in decimal form, you start with the decimal on the right side of the percentage, then you bring the decimal two places to the left. So for example, for 5% it it 5.. when you bring the decimal two places to the left it becomes .05
We start with $371.93 then we multiply each percentage successively to this number
we work backwards
so we start with 5%
$371.93= .95 x X
X=$391.51
Then we take X and do the same process for 10%
$391.51= .90 x Y
Y = $435.01
again we take Y and do the same process for 25%
$435.01= .75 x Z
Z = $580.01
so the original price is $580.01
to find the total percent discount you take the total discounted price ($371.93) divided by the original price ($580.01) then you have 1 subtracted by the number. Finally, you multiply the number by 100 to change it to a percentage
so it's $371.93/$580.01 which = .64125
1 - 64125 = .35875 x 100= 35.88%
so your total percent discount is 35.88%
Hope this helps
