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3 years ago

_______ will produce a rational answer when multiplied by 0.9

Mathematics

2 answers:

Lady_Fox [76]3 years ago

6 0

1 over 9 will produce .9

harkovskaia [24]3 years ago

4 0

Answer:

Step-by-step explanation:

A rational number is 9.

When you multiply 0.9x10 you get the sum of 9.

9 is a rational number because it is a perfect square and an integer.

I hope this helps you understand :)

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Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

SIZIF [17.4K]

Answer:

Step-by-step explanation:

$\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)$

To make this easier, to get ride of the fractions, we can multiply both sides by 4

$2(x+15) = 8 + 3(x-4)$

now use the distributive property

$2x + 30 = 8 + 3x - 12\\$

now we want to isolate x to one side and isolate all the constants to the other

$2x - 3x = 8 - 12 - 30\\$

now simplify

$-x = -34\\x = 34$

to test, we can plug in back to the original

$\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}$

it works

7 0

2 years ago

A saving account balance is now less then $550<br><br> Write an inequality

miv72 [106K]

550<600 it's something like that

4 0

3 years ago

A professional baseball player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase

FrozenT [24]

Answer: the athlete's salary for year 7 of the contract is $3795957

Step-by-step explanation:

The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as

Tn = ar^n-1

Where

Tn is the salary for the nth year

a is the salary for the first year

r is the rate at which the salary is increasing. So

a = 3,000,000

n = 7

r = 1.04

We want to determine T7. It becomes

T7 = 3000000 × 1.04^(7-1)

T7 = 3000000 × 1.04^6

Tn = $3795957

6 0

3 years ago

Determine the circumference of a circle with a radius of 4 units.

timurjin [86]

I learned this a few months ago i know how to do it but I don’t want to give you the wrong answer

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2 years ago

Find the average value of the function ()=3 on the interval [−3,3] and determine a number in this interval for which () is equal

shutvik [7]

The average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

According to the given question.

We have a function.

F(x) = 3x^2

Since, we know that " the average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval".

Here, the given interval is [-3, 3]

Therefore, the length of the interval = 3 - (-3) = 3 + 3 = 6

Now, the average value of the given function f(x)

$=\frac{1}{6} \int\limits^3_{-3} {3x^{2} } \, dx$