1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr1967 [171]
3 years ago
6

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 numb

ers is 59, work out 2 values of x .
Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0
<h3>The two possible values for x are x = 60 and x = -9</h3>

===========================================================

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

You might be interested in
What would this be I don’t get it
faltersainse [42]

Since BE bisects angle ABC, you know that angles ABE and EBC are congruent and have the same measure. This means

2x + 20 = 4x - 6

Solve for x:

(2x + 20) - 2x + 6 = (4x - 6) - 2x + 6

26 = 2x

26/2 = 2x/2

13 = x

Then angle ABE has measure 2*13 + 20 = 46º.

4 0
3 years ago
17 calculators for 340$ or 200 calculators for 3,600.
solong [7]
The better deal is the 200 calculators
3 0
3 years ago
Question 1 (1 point)
Amanda [17]

Answer:

a) 166x.

Step-by-step explanation:

167x - x

= 166x.

3 0
3 years ago
Read 2 more answers
Help Me!
puteri [66]

Answer:

<u>Given:</u>

  • DC ║ AB
  • CM = MB as M is midpoint of BC

i) <u>Since DN and BC are transversals, we have:</u>

  • ∠DCM ≅ ∠NBM and
  • ∠CDM ≅ ∠BNM as alternate interior angles

<u>As two angles and one side is congruent, the triangles are also congruent:</u>

  • ΔDCM ≅ ΔNBM (according to AAC postulate)

So their areas are same.

ii)

<u>The quadrilateral has area of:</u>

  • A(ADCB) = A(ADMB) + A(DCM)

<u>And the triangle has area of:</u>

  • A(ADN) = A(ADMB) + A(NBM)

Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.

5 0
3 years ago
Read 2 more answers
a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours
Maru [420]

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

7 0
3 years ago
Other questions:
  • The fifth period Coordinate Algebra class received their quiz grades back from Mr. Smith today. The students were offered a chan
    13·1 answer
  • X+5*3 divided by 4-2=7
    9·1 answer
  • If the denominator of 7 12 is increased by a number and the numerator of the fraction is doubled, the result is 1. find the numb
    13·1 answer
  • How many pairs of parallel faces are shown?
    11·1 answer
  • Suppose the length of AD is 10 and the length of DG is twice as long as AD. Find the length of AG. Show da work plz
    8·1 answer
  • Ben bought a digital camera for $90. The tax rate is 6%. what proportion can be used to find the amount of taxes Ben will pay
    9·1 answer
  • Divide the following numbers. 4,084 / 1,016
    13·2 answers
  • Helppppppp pleaseee okkkk <br><br><br> BRAINLEST POINTS 100
    15·2 answers
  • Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che
    8·1 answer
  • 104 is divided in two parts A and B in the ratio of 5:8. What is the value of A?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!