Simplify.10y(3x – 7z)30 xy – 7 z103 xy – 107 yz30 xy – 70 yz3 x – 70 yz

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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Answer:

C)  1/2  and 8

Step-by-step explanation:

-2x + y = 7              Eq. 1

6x + y = 11               Eq. 2

From Eq. 1:

y = 7 + 2x               Eq. 3

From Eq. 2:

y = 11 - 6x              Eq. 4

Equalyzing Eq. 3 and Eq. 4:

7 + 2x = 11 - 6x

2x + 6x = 11 - 7

8x = 4

x = 4/8

x = 1/2

From Eq. 3:

y = 7 +2* 1/2

y = 7 + 1

y = 8

Check:

From Eq. 2

6x + y = 11

6*1/2 + 8 = 11

3 + 8 = 11

Answer:

Step-by-step explanation:

20 dude hahah

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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On solving the provide question, the domain of the given is \(( -\infty, 3 ) U ( 3,4 ) U ( 4, +\infty )\) as the collection of all potential inputs for a function is its domain.

The collection of all feasible function inputs is referred to as a function's domain. For instance, the complete set of real numbers make up the domain of f(x)=x2, whereas the entire set of real numbers except for x=0 make up the domain of g(x)=1/x.

By finding the value of the independent variable x in the equation y = f(x), you may determine the domain and area. Simply write x=g(y) to calculate a function's domain, then look up g's domain (y).

Given,

3x-4/x²-7x+12

So the domains is

\(( -\infty, 3 ) U ( 3,4 ) U ( 4, +\infty ).\\\)

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EXPLANATION

Given that the slope is equal to m=-2 and we have the (6,1), we can write the point-slope form and then turn it into a standard form as shown as follows:

Replacing terms:

Applying the distributive property:

Adding +1 to both sides:

y = -2x + 12 + 1

Adding numbers:

y = -2x + 13

Adding +2x to both sides:

y + 2x = 13

Rearranging terms:

2x + y = 13

As the standard form of a line is Ax + By = C, our standard form equation is as follows:

2x + y = 13

The area under the curve standard normal curve that lies to the left of the points are as follows

​(a) 0.56 ​= 0.29

(b) ​-0.23 = 0.41

​(c) 0.59​ = 0.28

(d) -0.73 = 0.23

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean is 0 and standard deviation is equal to 1.

Any normal distribution's values can be transformed into z scores to standardize it.

Z scores indicate the number of standard deviations each result is from the mean.

The area under the standard normal curve is gotten using the z table for the scores and the values are as follows

a) 0.56 ​= 0.2877

(b) ​-0.23 = 0.4090

​(c) 0.59​ = 0.2776

(d) -0.73 = 0.2327

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Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Answer:

5196 m

Step-by-step explanation:

The sea is level = 0

If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m

If Lake Assal is 156 m below sea level then it would be = - 156 m

The difference between the two elevations:

= 5040 - (-156)

= 5040 + 156 --> two negatives create a positive

= 5196 m

This question above is incomplete

Complete Question

Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?

Answer:

70 Blue marbles

Step-by-step explanation:

Let red marbles = R

Blue marbles = B

Step 1

Jim had 103 red and blue marbles.

R + B = 103.......Equation 1

R = 103 - B

Step 2

After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles

2/5 of B to Samantha

Jim has = B - 2/5B = 3/5B left

He also gave 15 red marbles to Samantha

= R - 15

The ratio of what Jim has left

= Red: Blue

= 3:7

= 3/7

Hence,

R - 15/(3/5)B = 3/7

Cross Multiply

7(R - 15) = 3(3/5B)

7R - 105 = 3(3B/5)

7R - 105 = 9B/5

Cross Multiply

5(7R - 105) = 9B

35R - 525 = 9B............ Equation 2

From Equation 1, we substitute 103 - B for R in Equation 2

35(103 - B) - 525 = 9B

3605 - 35B - 525 = 9B

Collect like terms

3605 - 525 = 9B + 35B

3080 = 44B

B = 3080/44

B = 70

Therefore, Jim originally had 70 Blue marbles.

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

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Answer:

23x + 18y = 1446

x + y = 72

Step-by-step explanation:

The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).

Thus, 23x +18y = $1446.

The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).

Thus, x + y = 72.

Answer:

x/8=26

X= 168

Step-by-step explanation:

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Answer:

X=3.25

Step-by-step explanation:

X•8+6=32

      -6   -6

X•8=26

8÷8=26÷8

X=3.25

Check your answer by pluging it in like this

3.25•8=26+6=32

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Answer:

\(sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9\)

Option B: 20.9°

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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Complete question :

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:

H, :μ< 26.9

Ha : μ> 26.9

a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?

b. What is the Type I error in this situation? What are the consequences of making this error?

c. What is the Type II error in this situation? What are the consequences of making this error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the null and alternative hypothesis :

H0 :μ< 26.9

Ha : μ> 26.9

Assume the Null hypothesis is rejected ;

We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).

B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.

C.) Type 2 error is committed when we fail to reject a false null hypothesis. In this scenario, we fail to conclude that the average consumption of beer and cider is more than 26.9 gallons per person.

Answer:

Hey, I'd love to help but there doesn't seem to be a question here? I can answer in the comment section if you confirm the question :)

Answer:

A

Step-by-step explanation:

Only one that make sense

Answer:

XX, YY, ZZ

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Heads = H

Tails = T

Numbers on die = 1-6

H1       H2      H3    H4    H5     H6

T1        T2      T3     T4    T5      T6

12 outcomes.

Hope this helped.

Given problem;

   Inequality equation;

               \(\frac{x}{16}\)   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x (\(\frac{x}{16}\))   <  6 x 16

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       \(\frac{95}{16}\)  = 5.93

This value is less than 6

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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The value of x from the given expression is negative start fraction 17 over 3 end fraction

The given proportion is as follows;

x+1/x-1 = 14/20

we have to cross multiply

20(x + 1) = 14(x - 1)

open the brackets

20x + 20 = 14x  - 14

subtract 14x from both sides

20x - 14x + 20 = 14x - 14x  - 14

6x + 20 = -14

subtract 20 from both sides

6x + 20 - 20 = -14 - 20

6x = -34

divide both sides by 6

6x / 6 = -34 / 6

x = - 17 / 3

Hence the value of x from the given expression is negative start fraction 17 over 3 end fraction

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Answer:

1/2

Step-by-step explanation:

slope is 3/6 simplified is 1/2

Answer:

the slope is 1/2 simplified

Step-by-step explanation:

Formula: M=rise/run

rise=3

run=6

3/6= 1/2

The probability that a customer Consumes both mayonnaise and ketchup at the same time is 0.55 or 55%.

To find the probability that a customer consumes both mayonnaise and ketchup at the same time, we need to use the concept of intersection in probability theory. The intersection represents the overlap or commonality between two events, in this case, the consumption of mayonnaise and ketchup.

Given that 80% of customers consume either mayonnaise or ketchup, we can assume that this includes the customers who consume both. Let's call the event of consuming mayonnaise "M" and the event of consuming ketchup "K". Therefore, we know that P(M U K) = 0.8.

To find the probability of consuming both, we can use the formula P(M ∩ K) = P(M) + P(K) - P(M U K), where ∩ represents the intersection. We can substitute the values we have been given to get:

P(M ∩ K) = 0.65 + 0.70 - 0.8 = 0.55

Therefore, the probability that a customer consumes both mayonnaise and ketchup at the same time is 0.55 or 55%. This means that more than half of the customers consume both, indicating that the chef could consider offering dishes that combine both sauces to cater to this preference.

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Therefore , the solution of the given problem of function comes out to be Since 4 > 2, function A has a greater rate of change than function B.

The mathematics curriculum covers the study of numbers or rather their variations as well as in our environment, buildings, and both actual and imagined locations. A function presents a graph representation of the relationship between input and output quantities. A function, expression simply, is a collection of sources that, when combined, result in particular outputs by each input. There is a locale, territory, or range assigned to each job.

Here,

The rate of change of a linear function is the slope of the line.

Function A is y = 4x - 3, so the rate of change (slope) is 4.

To find the rate of change of function B, we can calculate the slope of the line passing through the points given in the table. Using the two points (1,4) and (5,12), we get:

slope = (change in y) / (change in x) = (12-4) / (5-1) = 2

So the rate of change of function B is 2.

Since 4 > 2, function A has a greater rate of change than function B.

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The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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