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3 years ago

Which number line represents the solutions to [x - 5] = 1?

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

Answer:

there should only be two points at 6 and 4

Step-by-step explanation:

[x-5]=1

x-5=+ 1 or -1

x-5= 1

x-5= -1

x=6 or 4

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Find a ratio equivalent to 15/60

Flauer [41]

Answer:

$\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}$

$\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}$

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

$\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots$

Multiply the numerator and the denominator by the same number:

$\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots$

7 0

2 years ago

Read 2 more answers

What is the equation of the line that is parallel to the given

andre [41]

Answer:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

Step-by-step explanation:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

3 0

3 years ago

Correct answers only please!

Naily [24]

Answer:

1st Question

A. 85

2nd Question

B. 71

Step-by-step explanation:

1st Question

{90 + 94 + 96 + 90} = 370/4 = 92.5

{95 + 99} = 194/2 = 97

{87 + 75 + 82 + 85} = 329/4 = 82.25

{71} = 71/1 = 71

.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175 Rounded-up = 85

___________________________________________________

2nd Question

.10(95) +.20(80) +.50(67) +.20(60) = 71

7 0

3 years ago

If the diameter of Nicole's bike wheel is 90cm, what is the approximate distance the wheel travels in one revolution?

sineoko [7]

Answer:

282.7 cm

Step-by-step explanation: One spin is one circumference. That's π(diameter)= 282.7

4 0

2 years ago

Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp

Bess [88]

Answer:

(a) 0.5948

(b ) 0.0392; A. Yes , because the probability is less than 0.05

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R R

R D

D R

D D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

= 14/18 x 13/17

= 0.59477

≈ 0.5948

(b.) Determine the probability that both contain regular soda.

P (both regular soda) = P (R R)

= 4/18 x 3/17

= 0.039215

≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.) Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

= (4/18 x 14/17) + (14/18 x4/17)

= 0.36601

≈ 0.3660

4 0

3 years ago