Answer:
$(80.5x + 69)
Step-by-step Explanation:
Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.
Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.
Thus, Gloria buys:
4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)
2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)
10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)
8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)
Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)
Open the parentheses and then simplify:
Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x
= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36
Total cost = $(80.5x + 69)
Answer:
See below.
Step-by-step explanation:
a)
105/3 = 35
35/5 = 7
7/7 = 1
429/3 = 143
143/11 = 13
13/13 = 1
105 = 3 * 5 * 7
429 = 3 * 11 * 13
Not co-prime
For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.
Answer:
Line A.
Step-by-step explanation:
When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.
Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.
In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.
Therefore, the answer is A!
Answer: 600
Step-by-step explanation:
5x5=25
3x8=24
25x24=600
