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3 years ago

Change 6 1/8 into an improper fraction.

Mathematics

2 answers:

miskamm [114]3 years ago

4 0

Answer: 49/8

Step-by-step explanation:

Multiply 6*8 then add 1 and get 49/8

stealth61 [152]3 years ago

4 0

Step-by-step explanation:

To find a improper fraction, you must multiply the denominator by the whole number, then add the numerator to the product.

6 x 8 = 48 + 1 = 49.

Our numerator for the improper fraction is 49, we keep the denominator as the same as the whole number fraction, which is 8.

Therefore, your improper fraction is 49/8.

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Each table in a banquet room seats 8 people. The room can seat no more than 360 people. Write and solve an inequality to represe

yarga [219]

Answer:

360 ≥ 8t

Step-by-step explanation:

Let t be the number of tables. Since there can't be more than 360 people, it has to be less than or equal to.

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4 years ago

15.

boyakko [2]

Explanation:

${3 \choose 2} = \frac{3!}{2!(3-2)!} = \frac{6}{2*1} = 3$

${3 \choose 1} = \frac{3!}{1!(3-1)!} = \frac{6}{1*2} = 3$

b) First, we have that

${n \choose k} = \frac{n!}{k!(n-k)!}$

On the other hand,

${n \choose n-k} = \frac{n!}{(n-k)!(n(n-k))!} = \frac{n!}{(n-k)!k!}$

Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.

4 0

4 years ago

Read 2 more answers

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

Volgvan

Answer:

Length = 8 inches

Width = 4 inches

Height = 6 inches

Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

Let

Width = x

Length = 2x

Height = x + 2

Volume of a box = length × width × height

192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

192 = 2x^3 + 4x^2

Divide through by 2

96 = x^3 + 2x^2

Subtract 96 from both sides

x ^3 + 2x^2 - 96 = 0

Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

So,

Divide both sides by (x^2 + 6x + 24).

0 ÷ (x^2 + 6x + 24) = 0

So,

(x - 4) = 0

x = 4

Width = x = 4 inches

Length = 2x

= 2(4)

= 8 inches

Height = x + 2

= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

= (8 * 4 * 6) inches

= 192 inches

4 0

4 years ago

On average, who spends more money on Prom? Forty-two senior girls and thirty-nine senior boys were asked how much they plan on s

blagie [28]

Answer:

Yo I think we're in the same class.... wish i knew the answer lol

Step-by-step explanation:

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3 years ago

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the

Umnica [9.8K]

△ABC has interior angles with measures x°, 100°, and 70°.

By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.

$x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ}$

$x^{\circ}=10^{\circ}$

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

$y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ}$

$y^{\circ}=90^{\circ}$

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to y.

5 0

3 years ago

Read 2 more answers