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3 years ago

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On december 1, jonas jewelry wholesale center started with an inventory of 1,000 watches. shipments of 168, 231, and 411 were se

nt out on january 3, february 8, and march 7, respectively. receipts of 21, 145, and 11 were received on january 8, february 22, and march 18. find the number of watches on hand as of march 18. 1,732 424 367 1,633

1 answer:

denis-greek [22]3 years ago

5 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total watches in an inventory = 1000

Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

$1000-(168+231+411)\\\\=1000-810\\\\=190$

New receipts = 21, 145 and 11

So, Number of watches on hand becomes :

$190+(21+145+11)\\\\=367$

Hence, Third option is correct.

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Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

AysviL [449]

Answer:

y = 14

Step-by-step explanation:

y ∝ $\frac{1}{x}$

=> y = $\frac{k}{x}$ -------------(1)

<em><u>Where k is the constant of proportionality</u></em>

Now,

x = 7, y = 4

<em>Putting in (1)</em>

4 = $\frac{k}{7}$

So,

=> k = 28

Now y = ? when x = 2

<em>Putting x and k in (i)</em>

y = $\frac{28}{2}$

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3 years ago

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guapka [62]

Step-by-step explanation:

well, as you can witness both of the equations are equal to y, so you're free to reckon that they are equal as well

$6x - 3 = 2x + 17 = = = > \\ 4x = 20 = = = > x = 5 \: and \: \\ y = 6(5) - 3= = = > y = 27$

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2 years ago

A square has an area of 81x square cm. What is the perimeter of the square ?

Fudgin [204]

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step explanation:

step 1

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we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$A=81x\ cm^{2}$

substitute and solve for b

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square root both sides

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step 2

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we know that

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3 years ago

Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

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So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

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3 years ago

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olga_2 [115]

Answer:

[-8,8]

Step-by-step explanation:

domain is the set of x values that the graph covers

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That makes the domain [-8,8]

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3 years ago