MATHEMATICS HIGH SCHOOL

Fyi everyone, random231 is awesomeFor a craft project, four students each chose three pieces of wire from a box.

Don’s wires measure 3 inches, 5 inches, and 12 inches.
Margo’s wires measure 6 inches, 8 inches, and 14 inches.
Sonji’s wires measure 12 inches, 8 inches, and 17 inches.
Liam’s wires measure 16 inches, 8 inches, and 27 inches.

Which student chose pieces that can be used to construct a triangle?

a. Don
b. Margo
c. Sonji
d. Liam

Answers

Answer 1

Answer:

Answer:

C. Sonji

Step-by-step explanation:

Since, a triangle is possible if the sum of any two sides is greater than third side,

The measure of Don’s wires,

3 inches, 5 inches and 12 inches

Since, 3 + 5 < 12

Thus, by the above statement we can not make a triangle with The measure of Don’s wires.

The measures of Margo's wires,

6 inches, 8 inches and 14 inches,

Since, 6 + 8 = 14,

⇒ we can not make a triangle with The measure of Margo's wires.

The measures of Sonji's wires,

12 inches, 8 inches, and 17 inches,

12 + 8 > 17,

8 + 17 > 12

12 + 17 > 8

⇒ we can make a triangle with the measure of Sonji's wires.

The measures of Liam’s wires,

16 inches, 8 inches, and 27 inches

16 + 8 < 27

⇒ we can not make a triangle with The measure of Liam’s wires.

Hence, option 'C' is correct.

Answer 2

Answer: your answer would be sonji's

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7 times as much as the sum of 1/3 and 4/5

Answers

$7( (1)/(3) + (4)/(5) )$

$=7( (1(5))/(3(5)) + (4(3))/(5(3)) )$

$=7( (5)/(15) + (12)/(15) )$

$=7( (17)/(15))$

$=(7)/(1) ( (17)/(15))$

$=(119)/(15)$

$= 7(14)/(15)$ ≈ 7.93

¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93

Further explanation

The Problem:

7 times as much as the sum of $(1)/(3)$ and $(4)/(5)$
Write an expression to match, and then solve it.

The Process:

Here are some early expressions that need attention.

one-third is $\boxed{(1)/(3)}$
four-fifth is $\boxed{(4)/(5)}$
the sum of $(1)/(3) \ and \ (4)/(5)$ is $\boxed{(1)/(3) + (4)/(5)}$

Let us write an expression to match for 7 times as much as the sum of $(1)/(3)$ and $(4)/(5)$

$\boxed{\boxed{ \ 7 * \bigg((1)/(3) + (4)/(5) \bigg) \ }}$

Let us calculate the operation in parentheses at first.

$\boxed{(1)/(3) + (4)/(5)}$

A least common multiple of 3 and 5 is 15. We use to equate the denominator.

$\boxed{(1 * 5)/(3 * 5) + (4 * 3)/(5 * 3)}$

$\boxed{(5)/(15) + (12)/(15)}$

$\boxed{(17)/(15)}$

And now we solve the full expression.

$\boxed{ \ = 7 * \bigg((1)/(3) + (4)/(5) \bigg) \ }$

$\boxed{ \ = 7 * (17)/(15) \ }$

We do not cross out 7 and 15 because they both cannot be divided.

$\boxed{ \ = (119)/(15) \ }$

$\boxed{\boxed{ \ = (119)/(15) \ }}$

In mixed fraction:

$\boxed{ \ (119)/(15) = \ ? \ }$

$\boxed{ \ = (105)/(15) + (14)/(15) \ }$

$\boxed{ \ = 7 + (14)/(15) \ }$

$\boxed{\boxed{ \ = 7(14)/(15) \ }}$

In decimal:

$\boxed{ \ 7(14)/(15) = \ ? \ }$

$\boxed{ \ (14)/(15) = 0.93 \ }$

$\boxed{ \ = 7 + (14)/(15) \ }$

$\boxed{ \ = 7 + 0.93 \ }$

$\boxed{\boxed{ \ = 7.93 \ }}$

$\boxed{\boxed{ \ Thus, \ the \ result \ is \ (119)/(15) \ or \ 7(14)/(15) \ or \ 7.93 \ }}$

- - - - - - - - - -

Quick Steps:

$\boxed{ \ = 3 * \bigg((1)/(3) + (4)/(5) \bigg) \ }$

$\boxed{ \ = 3 * \bigg((5 + 12)/(15) \bigg) \ }$

$\boxed{ \ = 3 * \bigg((17)/(15) \bigg) \ }$

$\boxed{\boxed{ \ = (119)/(15) \ }}$

$\boxed{\boxed{ \ = 7(14)/(15) \ }}$

$\boxed{\boxed{ \ = 7.93 \ }}$

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Keywords: 7 times, as much as, the sum of 1/3 and 4/5, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25

Choose one of the factors of x6 + 1000x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

Answers

x⁶ + 1000
x⁶ - 10x⁴ + 10x⁴ + 100x² - 100x² + 1000
x⁶ - 10x⁴ + 100x² + 10x⁴ - 100x² + 1000
x²(x⁴) - x²(10x²) + x²(100) + 10(x⁴) - 10(10x²) + 10(10)
x²(x⁴ - 10x² + 100) + 10(x⁴ - 10x² + 100)
(x² + 10)(x⁴ - 10x² + 100)

C is the Correct Answer 100%.

Mark Brainiest Answer plz.

Sales tax in the state of Florida is 7%. Bob purchased a coat that was marked $350.00. What is the total bill including tax?

Answers

To find the tax, you multiply the tax rate by the amount to be taxed, so...350 × 7%
350 × .07 = $24.50

This is the amount of tax. Now add it to the original price for the total cost.

$350.00 + $24.50 =

$374.50

A wheel 4 ft. in diameter makes x revolutions. Find x, given that the distance traveled by a point on the circumference of the wheel is 23169 ft. Round your answer to the nearest whole number.

Answers

The circumference of the wheel = (pi) * (diameter) = 4pi feet.

23,169 = X * 4pi

X = 23,169 / 4pi = 1,843.73 revolutions

1,844 when rounded to the nearest whole number.

The sum of 1/9 2/3 and 5/18 is what

Answers

So first we have to find a common denominator, in this case it is simple because 18 works. So now we have to make 1/9 into ?/18, to do this we multiply 1/9 by 2, so now we have 2/18 + 2/3 + 5/18. To make 2/3 into ?/18 we have to multiply by 6, so now we have 2/18 + 12/18 + 5/18. Now you add all the numerators (top numbers) together and we get 19/18, which is the same as 1 1/18

ANSWER: 19/18 or 1 1/18.

Feel free to ask any questions about my explanation if you need it(:

The sum of the fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ is $\boxed{\frac{{{\mathbf{19}}}}{{{\mathbf{18}}}}}$ .

Further explanation:

Given:

The given fractions are $(1)/(9),(2)/(3),\frac{5}{{18}}$ .

Step by step explanation:

Step 1:

First we make the denominator same of the given fraction.

The equivalent fraction of $(1)/(9)$ can be calculated as,

$\frac{{1 * 2}}{{9 * 2}} = \frac{2}{{18}}$

The equivalent fraction of $(2)/(3)$ can be calculated as,

$\frac{{2 * 3}}{{3 * 3}} = (6)/(9)$

The equivalent fraction of $\frac{5}{{18}}$ can be calculated as,

$\frac{{5 * 1}}{{18 * 1}} = \frac{5}{{18}}$

Step 2:

We know the sum of the given fractions and the sum of the equivalent fractions would be same.

Now find the sum of the equivalent fraction to find the sum of the given fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ as,

$\begin{aligned}\frac{2}{{18}} + \frac{{12}}{{18}} + \frac{5}{{18}} &= \frac{{2 + 12 + 5}}{{18}} \n&= \frac{{19}}{{18}} \n\end{aligned}$

Therefore, the sum of the fractions $(1)/(9),(2)/(3),\frac{5}{{18}}$ is $\frac{{19}}{{18}}$ .

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: sum, equivalent, fraction, denominator, numerator, number, division, multiplication, addition, difference, product, natural number

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