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3 years ago

Markuo spends $27 on some plants. Each plant costs $9. How many plants does he buy?

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

Answer:

He can buy 3 plants

Step-by-step explanation:

$27 is the total amount of money he can spend, if each plant costs $9 the equation would be like this:

9x = 27

Divide 27 by 9 because division is the opposite operation to multiplication

x = 3

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Which equations are equivalent to the expression below ? Check all that apply

taurus [48]

It looks like selections A and C are identical. (Neither is equivalent to 9^x.)

If B is supposed to be 3^(2x), it is equivalent to F and D and to the given expression.

Of course, D evaluates to 9^x, so is equivalent.

Choice E evaluates to 3^(x+2), which is not equivalent to 3^(2x).

The applicable choices appear to be

... B. 3^(2x)

... D. (3*3)^x

... F. (3^x)*(3^x)

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4 years ago

What is the solution of /x2+49 = x+5?

ICE Princess25 [194]

Answer: x= 12/5 or 2 2/5

Step-by-step explanation:

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3 years ago

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Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

$(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =$

$= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}$

$= 2^{-12} \times 2^{12} \times \dfrac{225}{64}$

$= \dfrac{225}{64}$

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3 years ago

Find the series shown.

solmaris [256]

Answer:

C $11+13+15+17+...$

Step-by-step explanation:

Consider the series

$\sum\limits_{n=3}^{\infty}(2n+5)$

The nth term of series is $a_n=2n+5$

The bottom index tells you that n starts changing from 3, so

$a_3=2\cdor 3+5=11\\ \\a_4=2\cdot 4+5=13\\ \\a_5=2\cdot 5+5=15\\ \\a_6=2\cdot 6+5=17\\ \\...$

Thus, the sum of all terms is

$11+13+15+17+...$

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3 years ago

5 squirrels were found to have an average weight of 8.9 ounces with a sample standard deviation is 0.9. Find the 95% confidence

stira [4]

Answer: ( 8.11 , 9.69)

the 95% confidence interval of the true mean weight

= ( 8.11 , 9.69)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.9

Standard deviation r = 0.9

Number of samples n = 5

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

8.9+/-1.96(0.9/√5)

8.9+/-1.96(0.4025)

8.9+/- 0.79

= ( 8.11 , 9.69)

Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)

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3 years ago