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3 years ago

Determine which of the following expressions are part of the greatest common factor of 54 mrt and 27 mr. Select all

Mathematics

2 answers:

Ket [755]3 years ago

6 0

Step-by-step explanation:

54mn⁴ = 2 * 3³ * m * n⁴

27m³n² = 3³ * m³ * n²

Highest common power of 2 = null

Highest common power of 3 = 3³

Highest common power of m = m

Highest common power of n = m²

Hence GCF(54mn⁴,27m³n²)

= 3³ * m * n² = 27mn².

27, m, n² and 9 are factors of the GCF 27mn². Only 18 is not a factor.

vesna_86 [32]3 years ago

5 0

Answer:

$54m {n}^{4} = {3}^{3} \times 2 \times m \times {n}^{4} \\ 27 {m}^{3} {n}^{2} = {3}^{3} \times {m}^{3} \times {n}^{2}\\$

GCF of the two expression 27, m, n²,9.

Both of the expression can be divided by 27, m, n², 9 but 18 can't be divided by 27m³n².

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e is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When the nu

dmitriy555 [2]

Part 1 :
if the number of hours (h) is greater than 7.
Equation for the amount(A) in dollar is
Amount (A) = 210 + (h-7)x20

Part 2 :
if she earns 410,
with the same equation
410 = 210 + (h-7)x 20
200 =(h-7)x 20
10 = h-7
17 = h
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3 years ago

Graph the function y = __ 2x

katen-ka-za [31]

Answer:

Well, if y is 1

Then the equation would be y = 1 (2x)

So, depending on the answer options. Y would be double of whatever the X value is.

See how 1 X value is worth 2 Y?

Example Attached

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3 years ago

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height

Tju [1.3M]

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

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3 years ago

Write an equation in slope intercept form that describes a line with a slope of 3 and containing the point (5,-1)

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

Equation of line with a given slope of a and containing a given point (x₀, y₀):

y - y₀ = a(x - x₀)

a = 3, x₀ = 5, y₀ = -1

So:

y - (-1) = 3(x - 5)

y = 3x - 15 - 1

y = 3x - 16

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3 years ago

There is a 30 percent chance that A can fix her busted computer. If A cannot, then there is a 40 percent chance that her friend

Solnce55 [7]

Answer:

(a) 0.70

(b) 0.40

Step-by-step explanation:

Mutually-exclusive events are those events which cannot occur together.

Consider that events X and Y are mutually exclusive.

P (X and Y) = 0

Here the two events can be defined as follows:

A = A can fix the busted computer

B = B can fix the busted computer

The information provided are as follows:

P (A) = 0.30

P (B) = 0.40

If A cannot, then there is a chance that her friend B can fix it.

The above statement suggest that the events A and B are mutually exclusive, i.e. if A can fix the computer then B does not have to and if cannot then only B will fix it.

That is, P (A and B) = 0.

(a)

Compute the probability it will be fixed by either A or B as follows:

P (A or B) = P (A) + P (B) - P (A and B)

= 0.30 + 0.40 - 0

= 0.70

Thus, the probability it will be fixed by either A or B is 0.70.

(b)

Compute the probability that if it is fixed it will be fixed by B as follows:

P (not A and B) = P (B) - P (A and B)

= 0.40 - 0

= 0.40

Thus, the probability that if it is fixed it will be fixed by B is 0.40.

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3 years ago