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ahrayia [7]
3 years ago
6

The sum of ten and the quotient of a number xxx and 666.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

  10+\dfrac{x}{6}

Step-by-step explanation:

The wording, "the sum of A and B" translates to the math formula A+B.

The wording, "the quotient of A and B" translates to the math formula A/B.

Then "the sum of 10 and the quotient of x and 6" will translate to the math formula ...

  \boxed{10+\dfrac{x}{6}}

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A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. W
Nuetrik [128]

Answer:

4 1/6 inches

Step-by-step explanation:

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Perimeter of Triangle = Side a + Side b + Side c

Perimeter of the Triangle =

( 1 1/6 + 1 1/3 + 1 2/3) inches

Lowest common denominator = 6

= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)

= 3 + (1 + 2 + 4/6)

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= 3 + 1 1/6

= 4 1/6 inches

6 0
3 years ago
Find the value of the variable.
Nikolay [14]

we are given that

both sides are equal

so, their length must be equal

HK=\sqrt{(p-1)^2+(5-2)^2}

HK=\sqrt{(p-1)^2+9}

now, we can find other side

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JK=\sqrt{(p-7)^2+9}

now, we can set them equal

HK=JK

\sqrt{(p-1)^2+9}=\sqrt{(p-7)^2+9}

now, we can take square both sides

(p-1)^2+9=(p-7)^2+9

now, we can solve for p

(p-1)^2=(p-7)^2

p^2-2p+1=p^2-14p+49

-2p+1=-14p+49

12p=48

p=4..............Answer

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