Shanice and mofor each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store.
1 answer:
Answer:
Cost of one rose bush is $6 and the cost of one shrub is $5 .
Step-by-step explanation:
Let us assume that the cost of one rose bush be x .
Let us assume that the cost of one shrub be y .
As given
Shanice and mofor each improved their yards by planting rose bushes and shrubs.
They bought their supplies from the same store. Shanice spent $48 on 3 rose bushes and 6 shrubs.
Equations becomes
3x + 6y = 48
Mofor spent $51 on 6 rose bushes and 3 shrubs.
Equations becomes
6x + 3y = 51
Multiply 3x + 6y = 48 by 3 .
3 × 3x + 3 × 6y = 3 × 48
9x + 18y = 144
Multiply 6x + 3y = 51 by 6
6 × 6x + 6 × 3y = 6 × 51
36x + 18y = 306
Subtracted 9x + 18y = 144 from 36x + 18y = 306 .
36x - 9x + 18y - 18y = 306 - 144
27x = 162
x = 6
Putting the value of x in the equation 9x + 18y = 144 .
9 × 6 + 18y = 144
54 + 18y = 144
18y = 144 - 54
18y = 90
y = 5
Therefore the cost of one rose bush is $6 and the cost of one shrub is $5 .
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Answer:
0.999
Step-by-step explanation:
At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.
<em>Instead we use the complement rule to calculate.</em>
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<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>
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In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,
Probability of 10 incorrect is (1/2)^10
Thus,
So the answer is 0.999 (rounded to nearest thousandth)
Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term
Plug in and you should get the following:
The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in which shifts everything one spot to the left.