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3 years ago

State when the following equations and inequalities will be true and when they will be false 38= 9k

1 answer:

3 0

The equation 38 = 9k will be true when k equals 38/9. (Do 38 divided by 9 to get k, k equals 38/9, which can't be simplified any more.)

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Please help! 30 points and crown! A diagonal of a cube measures StartRoot 750 EndRoot cm. The diagonal of a face measures StartR

rodikova [14]

Let length, width, and height be s.

Then diagonal of any face would be √( s² + s² ) = √( 2s² )

And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.

Now we have to solve √( 500 ) = √( 2s² )

Square both sides:

500 = 2s²

Divide both sides by 2:

250 = s²

Take the square root of both sides:

√(250) = s ≈ 15.8113883

Rounding to nearest tenth:

s ≈ 15.8

Final answer: 15.8

Hope this helps.

8 0

3 years ago

Read 2 more answers

Solve this problem. 10^3 * 2^3

Stella [2.4K]

10 to the power of 3 would be 1000.
2 to the power of 3 would be 8.
1000 x 8 = 8000

I hope this helped you <3

4 0

3 years ago

A total of $12,000 is invested at an annual interest rate of 9%. Find the balance

sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First lets change 9% into a decimal:

9% -> $\frac{9}{100}$ -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

$A=12,000(1+\frac{0.09}{4})^{4(5)}$

$A=18,726.11$

The balance after 5 years is $18,726.11

6 0

3 years ago

Connor is going to see a movie and is taking his 4 kids. Each movie ticket costs $13 and there are an assortment of snacks avail

EleoNora [17]

If Connor buys 3 snacks at 3 dollars each for himself and his 3 children, the net cost (including movie tickets) would be 88 dollars.

If he buys x amount of snacks, his cost will be determined by C=52+3x or C=52+3*x (both are equivalent, but not everyone knows every way to represent multiplication)

Step-by-step explanation:

To find the cost of the snacks:

Cost = Price*NumberOfSnacks, or C=p*n, or C=pn

To find the unit cost of the snack, find the price, the p value, which is 3 dollars.

Then, find the total number of snacks that will be bought. Since each person receives an equal number of snacks, 3 per person, and there are 4 people (himself and his 3 children), we can multiply 3*4 to find the n value, which is now known to be 12.

C=3*12=36. Add to the 13 dollar per person charge for tickets (52 dollars for 4 people), and you get 88 dollars.

To find the cost if he buys x amount of snacks for himself and his 3 children (assumed to be "everyone"), all costs but the n value are to be the same, creating this equation:

C=52+3x

In this context, 52 is the cost of movie tickets, 3 is the cost of the snacks, and x is the total number of snacks bought. C represents total cost.

5 0

3 years ago

Find the measure of ∠C to the nearest degree.

Inessa05 [86]

Do you have an image that follows this question?

8 0

3 years ago