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3 years ago

In how many unique ways can 4 boys and 4 girls sit around a circle table if all the boys sit together?

1 answer:

3 0

Working it completely in my head, I come up with 2,880 unique ways. I'll check it when I get back to a computer with an actual keyboard, and also explain my reasoning if anybody's interested.

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There were 350 members in the high school marching band last year. This year, the number of marching band members increased by 5

Rudiy27

Answer:

The percentage of the number of marching band members increased by 16% this year.

Step-by-step explanation:

$\frac{56}{350}$ x 100% = 16%

56 is 16% of 350

3 0

3 years ago

Read 2 more answers

Ratios that are equivalent to 9:6.

Bezzdna [24]

Answer:

3:2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

0.8) 498 what is the answer

Lina20 [59]

Step 1: We make the assumption that 498 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=498$100%=498.

Step 4: In the same vein, $x\%=4$x%=4.

Step 5: This gives us a pair of simple equations:

$100\%=498(1)$100%=498(1).

$x\%=4(2)$x%=4(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{498}{4}$

100%

x%=

498

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{4}{498}$

100%=

498

$\Rightarrow x=0.8\%$⇒x=0.8%

Therefore, $4$4 is $0.8\%$0.8% of $498$498.

7 0

2 years ago

Find the value of x. Round your answer to the nearest tenth.

Fantom [35]

Hello again! So we will be using the pythagorean theorem ( $leg^2+leg^2=hypotenuse^2$ ) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.

Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

$17^2+z^2=19^2$

Solve the exponents to get $289+z^2=361$

Subtract 289 on each side to get $z^2=72$

Lastly, square root each side of the equation and your answer should be $z= \sqrt{72}$ (To get more accurate answers, you shouldn't round until the end of the problem)

Nextly, we will need to subtract $\sqrt{72}$ from 31. And since there are 2 triangles, you'll need to multiply $\sqrt{72}$ by 2.

$x=31- \sqrt{72} *2 \\ x=14.0$

In short, x = 14.0

5 0

3 years ago

A rectangular prism has a length of 5 cm, a width of

kobusy [5.1K]

A rectangular prism has a length of 5 cm, a width of
2.
cm, and a height of 1 cm
cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
5 • 2 1/2
12 1/2 • 1 1/2
1 1/2 (5 + 2 1/2)
1/2 (12 1/2 • 1 1/2)

8 0

3 years ago

Read 2 more answers