Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .

Answers

Answer 1
The two possible values for x are x = 60 and x = -9

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Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59


Related Questions

Is the following statement true or false? Explain your reasoning. 3 + 2 = 6 or 9 – 2 = 7

Answers

Answer:

true : 9-2=7 false:3+2=6

Step-by-step explanation:

the first equation is false because if you take 6 and minus 3 you get three not two, But with the other equation its diffrent you take 7 and add it to two you get nine.

mathematics question in the screenshot below.

Answers

Step-by-step explanation:

1/6×100%=50/3%

3/24×100%=25/4%

3/8×100%=75/2%

=>50/3%+25/4%+75/2%+x=100%

=>100%-725/12%=x

=>x=59 and 5/12

PLEASE HELP YOU GUYS I WILL MAKE YOU BRAINLLESS
which statement is likely to be true ?

Answers

The answer here will be [tex]A[/tex].

Answer:

The is answer is A

Step-by-step explanation:

It is A because when you look at the graph it is past ten and it is more than or equal to 75%

Hopefully this helps you :)

pls mark brainlest ;)

Solve the inequality and graph its solution on a number line a - 3 > -7

Answers

Answer:

B

Step-by-step explanation:

a-3>-7

collect like terms

a>-3-7

a>-10

meaning of cube root

Answers

It’s rooting a number multiplied by 3. For example, 3 x 3 x 3 is 27. The cube root of 27 is 3

Given the function f(x)=2x-4 find x if f(x)=10

Answers

Answer:

7

Step-by-step explanation:

Since f(x)=10 is equivalent to f(x)=2x-4, make these equations equivalent. Add 4 to both sides, and simplify to get 2x=14. Divide both sides by 2 to get 7 as your answer.

Answer:

x = 7

Step-by-step explanation:

Given

f(x) = 2x - 4 and f(x) = 10, then equating gives

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7


Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8

Answers

Answer:

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

[tex]a=lw[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

The length of the rectangle is 13 and the width is 8.

[tex]l=13\\w=8[/tex]

Substitute the values into the formula.

[tex]a=13*8[/tex]

[tex]a=104[/tex]

Next, let's find the area of the semicircle. We can use the formula below.

[tex]a=\frac{1}{2} *\pi r^2[/tex]

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

[tex]a=\frac{1}{2} *\pi (4)^2[/tex]

Evaluate the exponent.

⇒ 4² = 4*4 = 16

[tex]a=\frac{1}{2} *\pi *16[/tex]

Multiply pi and 16.

[tex]a=\frac{1}{2} *50.2654825[/tex]

Multiply.

[tex]a=25.1327412[/tex]

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

[tex]104+25.1327412[/tex]

[tex]129.132741[/tex]

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

[tex]129.1[/tex]

The area of the figure is about 129.1 (square units).

Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below. Tuesday Thursday Saturday Hours worked 6 8 5 Amount paid $52.50 $70.00 $43.75 Which statement best describes the hourly rates? The two jobs pay the same hourly rate. The comparison cannot be made with the information given. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job. Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

Answers

Answer:

Jason's camp counselor job pays a higher rate than Mia's lifeguard job.

Jason's job pays $9 a hour.

Mia's job pays $8.75 a hour.

52.50 divided by 6 equals 8.75

70.00 divided by 8 equals 8.75

43.75 divided by 5 equals 8.75

Step-by-step explanation:

Answer:

C. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Step-by-step explanation:

I took the quiz

PLEASE HELP ASAP!!!!!!!!!!!!

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

Its the third bubble

Step-by-step explanation:

Hope I helped you.

D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.

Answers

Answer:

CD = 4DE = 24CE = 28

Step-by-step explanation:

The segment addition theorem tells you ...

  CD +DE = CE

  x^2 +12x = 32 -2x

Subtract the right side to put this in standard form.

  x^2 +14x -32 = 0

  (x +16)(x -2) = 0

  x = -16 or 2

In order for DE to have a positive length, we must have x > 0. So ...

  CD = x^2 = 2^2 = 4

  DE = 12x = 12(2) = 24

  CE = 32 -2x = 32 -2(2) = 28

3. Which of the following numbers is irrational?
a.
V256
b.
V100
C.
V111
d.
?
V625

Answers

Answer:

sorry

which of the following numbers are irrational☺

How do u solve this
Yes

Answers

Answer:

yes

Step-by-step explanation:

write 4687.02 in standard form​

Answers

Answer:

[tex]4 .68702\times 10^{ 3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

a waterwheel has a radius of 5 feet. the center of the wheel is 2 feet above the waterline. you notice a white mark at the top of the wheel. how many radians would the wheel have to rotate for the white mark to be 3 feet below the waterline?

a) 2pi radians
b) 3pi/2 radians
c) pi radians
d) pi/2 radians

Answers

Answer:

C.  pi radians

Step-by-step explanation:

got it right on edge :)

Answer:

letter c

Step-by-step explanation:


Please help!!!!



Find the x-intercepts.
y =
2x2 + 5x + 2
x2 - 4x + 3
(-0.5, [?]), ([ ], [ ])

Answers

Answer:

Step-by-step explanation:

2x² + 5x + 2=0  (roots or zeros)

(2x+1)(x+2)=0

2x+1=0 ⇒ x=-1/2 or -0.5

x+2=0 ⇒ x=-2

(-0.5,-1/2)

x² - 4x + 3=0

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

x-3=0 ⇒ x=3

x-1=0 ⇒ x=1

(3,1)

which is the value of g(-5) if g(x)=3.4x-8​

Answers

g(-5) = -25

to solve:
g(-5) = 3.4(-5) -8

Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?

Answers

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

The magnitude of a vector < x, y > is calculated as

| < x, y > | = [tex]\sqrt{x^2+y^2}[/tex]

Thus

j + k = < - 2, 1 > + < - 5, 3 > = < - 2 - 5, 1 + 3 > = < - 7, 4 >

Then

| < - 7, 4 > | = [tex]\sqrt{(-7)^2+4^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]

Pls help me with the answer and explanation

Answers

Answer:

10

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (5, 2)

d = [tex]\sqrt{(5+3)^2+(2+4)^2}[/tex]

   = [tex]\sqrt{8^2+6^2}[/tex]

   = [tex]\sqrt{64+36}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

The intersection of two lines can be a line segment. true false​

Answers

Answer:

false

Step-by-step explanation:

ugh no body knows this? Suppose a square garden represented by 16x2 ft2. a. What is the length of each side? b. What is the perimeter of the garden? c. If each side was increased by 5 feet what would be the new perimeter?

Answers

Answer:

A. [tex]4x[/tex]

B. [tex]16x[/tex]

C. [tex]16x+20[/tex]

Step-by-step explanation:

A square's area will be the length of each side squared (that's why it's called squared).

Since we know the area, we can find the square root of [tex]16x^2[/tex] to find the length of each side.

We know that [tex]4^2 = 16[/tex] and [tex]x^2 = x^2[/tex], so [tex]4x\cdot 4x[/tex] should be equal to [tex]16x^2[/tex].

This means the side length is [tex]4x[/tex].

The perimeter of a square will be 4 times it's side length. We know the side length, so the perimeter is [tex]4x \cdot 4 = 16x[/tex].

If we added 5 to the length of each side, the new side length would be [tex]4x + 5[/tex]. Again, the perimeter is 4 times the side length so the perimeter would be [tex]4(4x + 5) = 16x + 20[/tex].

Hope this helped!

Which of the following describes a situation where the total distance a person traveled is 0 feet from the starting point? A. Wyatt drove 25 miles west and then 10 miles in the opposite direction B. Wyatt drove 25 miles east and then 25 in the opposite direction C. Wyatt drove 25 miles north then 20 miles in the opposite direction D. Wyatt drove 25 miles south and then 19 miles in the opposite direction

Answers

Answer:

B. Wyatt drove 25 miles East and then 25 miles in the opposite direction

Step-by-step explanation:

This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.

Answer:

B. Wyatt drove 25 miles east and then 25 in the opposite direction

Step-by-step explanation:

if you drive x amount of miles in one direction and then the oposite you return where you statred.

What is the value of 3^5 times 3^3 divided by 3^4

Answers

Answer:

3^4

Step-by-step explanation:

One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,

3^5 x 3^3 = 3^8

Another law is when dividing exponents with the same base, you can subtract the powers. So,

3^8/3^4 = 3^4

Hope this helps!

Answer: 3^4

Explanation:

(3^5 • 3^3)/3^4
= (3^5+3)/3^4 (a^m • a^n = a^m+n)
= 3^8/3^4
= 3^4 (a^m/a^n = a^m-n)

Therefore, the answer is 3^4

If total sales in the ice cream category were $4.4 billion and Breyer’s sales were $650,417,792, what would be its market share? Round your answer to the tenth decimal place.

Answers

Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

Danielle pays $24.95 for her roller skates. After that she pays $3.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $76.30?

Answers

I think the answer is 2

What operation should you use to solve -6x = -24?

Answers

Answer:

division

Step-by-step explanation:

-6x/-6 = -24/-6

x = 4

1. Multiply 5.4(-0.42)
a. -2.268
b. 1.428
C. -0.2268
d. -1.428
please god help me

Answers

Is A -2.268 did you actually multiply? Is easy
The answer is A, -2.268.

What is the value of the expression 24 + 10•8?

Answers

Answer:

[tex]\large\boxed{\text{The expression is equal to 104}}[/tex]

Step-by-step explanation:

[tex]24+10 \cdot 8 \\24+80\\104[/tex]

Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)​

Answers

Answer:

The equation of the line is,

[tex]y = - \frac{2}{5} x - 1[/tex]

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

[tex]2x + 5y = 15[/tex]

[tex]5y = 15 - 2x[/tex]

[tex]y = 3 - \frac{2}{5} x[/tex]

[tex]y = - \frac{2}{3} x + 5[/tex]

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

[tex]y = - \frac{ 2}{5}x + b [/tex]

[tex]let \: x = - 10,y = 3[/tex]

[tex]3 = - \frac{2}{5} ( - 10) + b[/tex]

[tex]3 = 4 + b[/tex]

[tex]3 - 4 = b[/tex]

[tex]b = - 1[/tex]

Answer:

the equation of a parallel line is : y=-2/5 x -1

Step-by-step explanation:

2x+5y=15

put the equation in the form of y=mx+b

2x+5y=15

5y=15-2x

y=15/5-2/5 x

y=-2/5 x+3

parallel lines has the same slope : m=-2/5

passes through point (-10,3) find b

y=-2/5 x +b

3=-2/5(-10)+b

3=20/5 +b

3=4+b

b=3-4

b=-1

the equation of a parallel line is : y=-2/5 x -1

how do i memorize the multiplication tables?​

Answers

Answer:

First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.

Answer:

Well I learned the tables when I was 5 or 6 years old.

Step-by-step explanation:

My mum checked me regularly.

I remember that green sheet with numbers...

Train your memory and tell your brain that you CAN do it...

The main thing is, don't give up!

Solve the proportion below 4/9 = x/54
Answer is 24

Answers

Answer:

24

Step-by-step explanation:

4/9=x/54

4/9*54=x

x=4*6

x=24

Answer:

Yep its 24

Step-by-step explanation:

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