The answers are
9
12
18
36
72

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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9514 1404 393

Answer:

  72

Step-by-step explanation:

Substitute 6 for x in the equation and do the arithmetic.

  y = 12x

  y = 12·6 = 72

John earns 72 money units in 6 hours.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

75

Step-by-step explanation:

78+64+74+92+67 = 375

375 / 5 = 75

Answer:

16 + (–7) + 22 + (–12)

Hope this helped!!!

Answer:

The first graph

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

3x + y = -2

subtract 3x from both sides

y = -3x - 2

Only the first graph has a negative slope and a y-intercept of -2

Answer: 30(x-5)

Explanation:

$30 per overtime hours,

30*(x-5)

Answer:

Mai is correct

Step-by-step explanation:

Answer:

Mai

Step-by-step explanation:

1. 21.675 R $22

2. $21

Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by.

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Answer: i needed pointsss srry

Step-by-step explanation:

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

Answer:

Step-by-step explanation:

m=10

Step-by-step explanation:

The angles ∠LHM and ∠JHM are on a straight line, therefore they are supplementary and add to 180 degrees

∠LHM+∠JHM=180

We know that ∠LHM is 2m+10 and ∠JHM is 5m+100, so we can substitute them in

2m+10+5m+100=180

Combine like terms

(2m+5m)+(10+100)=180

7m+110=180

Subtract 110 from both side s

7m=70

Divide by 7 on both sides

m=10

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

y < -5

Step-by-step explanation:

The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!

-2y > 10

y < -5

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

\(scale \: from \: b \: to \: a = \frac{3}{2} \\ x = \frac{2}{3} \times 10.5 = 7\)

we conclude that the true statement is the one in option D:

"Function j is linear and has a constant rate of change".

Remember that a linear function is:

y = a*x + b

Where a is the slope (also called the rate of change) and b is the y-intercept. It is a polynomial of degree 1.

Now, the given function is:

j(x) = x/4.

Notice that we can write this as:

j(x) = (1/4)*x + 0

So this is a linear function, where the rate of change is 1/4, which is constant.

Then we conclude that the true statement is the one in option D:

"Function j is linear and has a constant rate of change".

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Answer:

Step-by-step explanation:

it is not a function because -2 has two y values

Answer:

250 mm = 0.25 m

Step-by-step explanation:

Answer:

0.25m

Step-by-step explanation:

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

The equation would be helpful - but it would be the exact same equation just doubled. If you simplified it it would still equal the same

Step-by-step explanation:

answer:

a. east coast! :)

hope this helps.

Answer:

I put A and got it right on edge Step-by-step explanation:

Answer:

decimal: 2.25

fraction: 9/4

Step-by-step explanation:

Answer:

Fraction: 15/4

Decimal: 3.75

Answer:

The standard deviation σ = 0.6122

Step-by-step explanation:

Explanation:-

Given mean of the Population  = 5.5

we know that 95% of confidence interval of Z-score = 1.96

95% of confidence interval for mean in normal distribution

(μ±Z₀.₉₅σ)

(μ - 1.96σ , μ +1.96σ)

given that 95% of confidence interval between 4.3 and 6.7

μ - 1.96σ = 4.3

5.5 -1.96σ  = 4.3

5.5 - 4.3 = 1.96σ

1.2 = 1.96σ

σ = \(\frac{1.2}{1.96}\)

The standard deviation σ = 0.6122

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)