Write an expression for "the product of 6 and q."

Mathematics

1 answer:

kolbaska11 [484]3 years ago

3 0

Answer:

Step-by-step explanation:

The product means the answer to a multiplication problem. That means you multiply 6 by q, which is 6*q, or 6q.

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brian irons \dfrac29 9 2 start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353 5 3 3, start fraction, 3,

julsineya [31]

At this rate, Brian plans 10/162 of his shirt.

The speed for which Brian iron the shirts is given by

$\frac{2}{9}/\frac{18}{5} = \frac{x}{1}$

Cross multiply to get

$\frac{2}{9} =\frac{18}{5}x$

Multiply both sides by 5/18 to solve for x.

$\frac{10}{162} = \frac{5}{31}$

At this rate, Brian plans 10/162 of his shirt.

learn more Cross multiply :brainly.in/question/34341065

20817

5 0

2 years ago

Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0

Elza [17]

2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4

x = 2y - 5 , when y = 0
x = - 5

x = 2y - 5 , when y = 4
x = 8 - 5
x = 3

6 0

3 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$