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Vaselesa [24]
3 years ago
15

Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the num

bers is 57, work out 2 values of x
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer: -10 and 68

Step-by-step explanation:

We have the numbers, ordered from least to greatest:

11, 26, 29, 31, 43, 44, 47 and x.

The range is equal to the difference between the largest number and the smallest number, so, x can take two values.

The smallest number:

here we have that:

47 - x = 57

x = 47 - 57 = -10

The other possibility is that x is the largest number, in this case, we have that:

x - 11 = 57

x = 57 + 11 = 68.

Then the two possibla values of x are -10 and 68

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Julie and her brother go to Atlanta to ride the Sky View Ferris wheel. It measures 200 feet in diameter. I want to know the dist
Zinaida [17]

Answer:

a) Circumference of Ferris wheel.

b) \text{Circumference} = \pi d

c) 628 feet

Step-by-step explanation:

We are given the following in question:

Diameter of Ferris Wheel = 200 feet

a) Distance around Ferris wheel

The distance around Ferris wheel is given by the circumference of Ferris wheel.

b) Formula to calculate circumference

\text{Circumference} = \pi d

where d is the diameter of he wheel.

c) Distance traveled in one rotation

This will be given by the circumference of the Ferris wheel.

\text{Distance} = \pi d = 3.14\times 200 = 628\text{ feet}

Thus, the distance traveled in one rotation is 628 feet.

8 0
3 years ago
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Mama L [17]

Answer:

\displaystyle x=-\frac{1}{6}, 3

Step-by-step explanation:

Hi there!

y = 6x^2 - 17x - 3

Factor by grouping:

y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)

Let y=0. Apply the zero product property:

0 = (6x+1)(x- 3)

6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}

AND

x-3=0\\x=3

I hope this helps!

5 0
3 years ago
What is the value for y?<br> Enter your answer in the box.<br> y=
serious [3.7K]

Answer:

y =112

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

x - 5=34

Also, we have:

y + x - 5 + 34=180 --- angles in a triangle

Substitute: x - 5=34

y + 34 + 34=180

Collect like terms

y =- 34 - 34+180

y =112

5 0
3 years ago
the bases of a trapezoid have lengths of 8 feet and 14 feet. Find the length of the midsegment of the trapezoid .
LiRa [457]

Answer:

11 ft

Step-by-step explanation:

The midsegment is 1/2 of the top and bottom segments

1/2(8+14)

1/2(22) = 11

5 0
3 years ago
Over which interval is the graph of the parent absolute value function decreasing?
Artemon [7]
I think the answer is b 
6 0
3 years ago
Read 2 more answers
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