Damon will write an equivalent expression for 60xyz+36yz+24xy by dividing each term by a common factor and rewriting the expression as the product of a common factor and the sum of remaining factors.

Select three possibilities that he could use as the common factor for equivalent expression

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

Answer:

Step-by-step explanation:

Solve 19+ 6w = 67

W =?

19 + 6w = 67

6w = 67 - 19

6w = 48

w = 48 : 6

w = 8

----------------------------

check

19 + 6 x 8 = 67

19 + 48 = 67

67 = 67

the answer is good

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The given equation 5x² - 7x + 2 can be factorized using the factorization method as;(5x - 2)(x-1)

Factorization in mathematics refers to the process of expressing a given number or expression as a product of two or more factors. In other words, it is the method of breaking down a number or an expression into simpler parts or factors.

Given that 5x² - 7x + 2 =0 whic can be seen as a quadratic equation, from this we can see that (x-1) is one of the factor.

We can re wrirte the expression as 5x² - 5x - 2x + 2 =0, we can see that the new expression is still the same with the original expression , then we can factor out as :

5x(x-1) -2(x-1)

(5x - 2)(x-1)

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Answer:

Step-by-step explanation:

You want the dimensions of a rectangle if adding 2 m to its width makes it a square with an area of 36 m².

The area of a square is the square of its side length, so the side length of the square is ...

  A = s²

  s = √A = √(36 m²) = 6 m

The problem statement tells you this dimension is 2 m more than the width of the rectangle. Hence that width is ...

  6 m - 2m = 4 m

The rectangle is 4 m wide and 6 m long.

Check

The length is 2 m less than twice the width: (2)(4 m) -2 m = 6 m, the value we show above.

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At Station Y, 15 litres of gasoline would cost £18.

Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

Ellie must have visited Station Y because she paid $24 for 20 litres of gasoline, proving that she did.

b) We can observe from the graph that 20 litres of gasoline at Station Y costs £24. With the help of this data, we can calculate how much a litre of gasoline costs:

Cost of 1 litre of petrol = Cost of 20 litres of petrol / 20

Cost of 1 litre of petrol = £24 / 20

Cost of 1 litre of petrol = £1.20

Therefore, 15 litres of petrol at Station Y would cost:

Cost of 15 litres of petrol = Cost of 1 litre of petrol x 15

Cost of 15 litres of petrol = £1.20 x 15

Cost of 15 litres of petrol = £18

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Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

Answer:

92°F

Step-by-step explanation:

in degrees Fahrenheit,

t=7

f(7)=64 + 4(7)

=92

The number of papers xavier have remaining after working for 12 hours is 18

Xavier can grade 6 papers per hour, so in 12 hours he can grade:

6 papers/hour x 12 hours = 72 papers

Therefore, after working for 12 hours, Xavier would have

90 - 72 = 18 papers remaining to grade.

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Answer:

1,2,4and 8

Step-by-step explanation:

Answer: No

Answer and Explanation: The numbers 2, 2, and 2 are the prime factors of 8 because 8 divided by 2 equals 4. Thus, 2 and 4 are factors of eight.

Answer:

Step-by-step explanation:

This graph is both linear and decreasing, as we move from left to right.

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

Yes, the question is biased.

The question is biased because it assumes that the mayor's recommendation is the correct or preferable option, without providing any information about the reasons for the recommendation or the potential benefits or drawbacks of including or excluding funds for the skate park. The question also implies that the respondent should have an opinion on the matter, even if they are not familiar with the specifics of the situation.

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A statistic can never be larger than a parameter is not a correct statement. The correct statement among the following is as follows: IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.

Statistics and parameters are two fundamental concepts in statistical analysis. Both of these concepts are widely used in various researches and surveys.

A statistic is a numerical value that represents a particular characteristic of the sample and is used to estimate an unknown parameter. A parameter is a numerical value that represents a particular characteristic of a population.Statistics can be larger, smaller, or equal to parameters. A statistic is a value that is calculated from a sample, whereas a parameter is a value that represents a population characteristic and is estimated from the sample.A parameter can be established, but it is only possible if the entire population is considered for analysis. In contrast, a statistic is calculated from a sample of the population and represents only the characteristics of the sample.

:A statistic can never be larger than a parameter is not a correct statement. The correct statement is IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.

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x/r - s = t

Add s to both sides.

x/r - s + s = s + t

x/r + 0 = s + t

x/r = s + t

Multiply both sides by r.

r(x/r) = r(s + t)

x = r(s + t)

Understand?

Answer:

x=tr/s

Step-by-step explanation:

x/r-s=t

x-s=t×r

x-s/s=tr/s

x=tr/s

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer: whats up

hello

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

The set of values for which y is a function of x is the set where each x-value has exactly on y-value. No x-value has more than 1 y-value.

✅Option A: y is A FUNCTION of x because it has exactly one y-value assigned to each x-value.

❌Option B: y is NOT a function of x because there are two y-values, 4 and 2, that are assigned to one x-value, -1.

❌Option C: y is NOT a function of x because there are two y-values, 10 and 12, that are assigned to one x-value, 1.

❌Option D: y is NOT a function of x because there are two y-values, 2 and 4, that are assigned to one x-value, -1.

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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The total number of students is 50

The number of students that named lacrosse as their favorite sport is given as:

\(Lacrosse = 19\)

From the circle graph, 38% chose lacrosse.

So, the proportion of students that represent lacrosse is:

\(Lacrosse = 38\% \times Students\)

Substitute 19 for lacrosse

\(19= 38\% \times Students\)

Multiply both sides by 100

\(1900 = 38 \times Students\)

Divide both sides by 38

\(50 = Students\)

Rewrite as:

\(Students = 50\)

Hence, the total number of students is 50

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We have to, A is linearly dependent for all values of c, the set of all vectors of the form (2a + b + c, 2a + 2b, 0) and the only value of c for which (4, 1, 3) is in Span(A) is c = 1.

a) A is linearly dependent for all values of c because there are more vectors than there are dimensions in the vector space. This means that one of the vectors can be expressed as a linear combination of the other vectors. Specifically, the vector (0, 0, c) can be expressed as a linear combination of the other vectors: (0, 0, c) = c*(2, 2, 0) + 0*(1, 2, c) + 0*(1, 0, 0).

b) For c = 0, the set of vectors A becomes {(2, 2, 0),(1, 2, 0),(0, 0, 0),(1, 0, 0)}. The span of this set of vectors is the set of all linear combinations of these vectors. Since the third vector is the zero vector, it does not contribute to the span. The span of the remaining vectors is the set of all linear combinations of the form a*(2, 2, 0) + b*(1, 2, 0) + c*(1, 0, 0). This is the set of all vectors of the form (2a + b + c, 2a + 2b, 0), which is a plane in R3 that contains the origin and is parallel to the xy-plane.

c) To find all values of c for which (4, 1, 3) is in Span(A), we need to find all values of c for which there exist scalars a, b, and d such that (4, 1, 3) = a*(2, 2, 0) + b*(1, 2, c) + d*(1, 0, 0). This gives us the following system of equations:2a + b + d = 42a + 2b = 1bc = 3We can solve this system of equations to find the values of a, b, and c. From the first equation, we can express d in terms of a and b: d = 4 - 2a - b. Substituting this into the second equation gives us 2a + 2b = 1 - 4 + 2a + b, which simplifies to b = 3. Substituting this value of b back into the third equation gives us 3c = 3, which gives us c = 1. Therefore, the only value of c for which (4, 1, 3) is in Span(A) is c = 1.

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Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation:

Answer:

266.666667

Step-by-step explanation:

Answer:

answer is for x value 2/3