The expression representing this would be 24 × 50 × 2. You do not need parentheses because multiplication is commutative. Simplified this would then be 100 × 24 which is $2400 .
The maximum number of of bouquets the gardener could have made is 3
<h3>How to find unknown parameter</h3>
Total = 45
let
- number of daffodils = x
- number of tulips = y
Roses = 4x
Tulips = 4x + 15
Total = roses + daffodils + tulips
45 = 4x + x + (4x + 15)
45 = 5x + 4x + 15
45 = 9x + 15
45 - 15 = 9x
30 = 9x
x = 30/9
x = 3.33333333333333
Approximately,
x = 3
Let more about equation:
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The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:

second equation:

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.