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3 years ago

15

How do you put the product of x and 8 is less than or equal to 39 in a algebraic expression

2 answers:

Korvikt [17]3 years ago

7 0

The answer is 8x+39 I thank

mrs_skeptik [129]3 years ago

7 0

The product = multiply

The product of x and 8: 8(x)

is less than or equal to: ≤

39: 39

8(x) ≤ 39

8(x) ≤ 39 is your algebraic expression.

hope this helps

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3 years ago

The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te

kozerog [31]

Answer:

$\dfrac{6}{7}$ .

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

$a_n=ar^{n-1}$

$a+ar=6$ ...(1)

Each term is 5 times the sum of the succeeding terms.

$a_n=5(a_{n+1}+a_{n+2}+...+\infty)$

$ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)$

$ar^{n-1}=5ar^n(1+r+r^2+...+\infty)$

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$\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}$

$\dfrac{1}{r}=\dfrac{5}{1-r}$

$1-r=5r$

$1=6r$

$\dfrac{1}{6}=r$

The common ratio is 1/6.

Put r=1/6 in (1).

$a+a(\dfrac{1}{6})=6$

$6a+a=36$

$7a=36$

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Therefore, the second term is $\dfrac{6}{7}$ .

4 0

3 years ago

Step by step If C(m)=0.50m + 30 represents the cost of renting a car, how many miles were driven if the cost is $130

Likurg_2 [28]

Answer:

200 miles were driven

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We know that $C (m) = 0.50m + 30$ represents the cost of renting a car

Where m represents the number of miles driven

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$0.50m + 30=130$

$0.50m=130-30$

$0.50m=100$

$m=\frac{100}{0.50}$

$m=200\ miles$

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