What is the GCF of 72, 90, and 162?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

Prime factorization of the numbers:

72 = 2 × 2 × 2 × 3 × 3

90 = 2 × 3 × 3 × 5

162 = 2 × 3 × 3 × 3 × 3

GCF(72, 90, 162)

= 2 × 3 × 3

= 18

Answer 2

Answer: 18

Step-by-step explanation:

Factors for 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors for 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

Factors for 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162


Related Questions

A student discovers that, in the triangle shown here, the equation conclude from this fact? m² + n²/p² = 1 holds true. What can she conclude from this fact​

Answers

m² + n²/p² = 1  is not equation of triangle

Solution :

Triangle :

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.

Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.

m² + n²/p² = 1

Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.

triangle triplet :

3,4,5

let's try to prove this by using pre define triplet triangle  

m= 3

n=4

p=5

3*3+4*4/5*5= 1

9+16/25= 1

9*25 +16/25 =1

225+16/25=1

9.64[tex]\neq[/tex] 1

this

m² + n²/p² = 1  is not equation of triangle

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Given −29.032 ÷ −0.76, find the quotient.

Answers

Answer:

38.2

Step-by-step explanation:

[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]

Notice every time a number ended up in the hundreds place, it was because a number for example, 2, was dropped into the next digit of the number. Let's say I get 18 from subtracting, and there is a 4 in the hundreds place, then 18 becomes 184 subtracted by any number below it that the divisor can multiply to.Note: Anytime 2 negative numbers are divided by each other, they will have a positive quotient.

Given y = x² + 3x - 2, find y when x = -2​

Answers

Answer:

y = -4

Step-by-step explanation:

y = x² + 3x -2

y = (-2)² + 3(-2) - 2

y = 4 - 6 - 2

y = -4

I hope this helps!

y=-4

y = x2 + 3x-2
y = (-2)2+3(-2) -2
y=4-6-2
y=-4

you simply plug in -2 anywhere you see an x.

which is the order from least to greatest of the following: eight sevenths, one sixth, 0.2, thirty two percent?

Answers

The order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]

What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given fractions: 8/7 (eight sevenths), 1/6 (one sixth) , 1/5 (0.2), 8/25 (32%).

Now, here,

[tex]\frac{8}{7} = 1.14[/tex][tex]\frac{1}{6} = 0.1667[/tex][tex]\frac{1}{5}=0.2[/tex][tex]\frac{8}{25}=0.32[/tex]

Thus, the order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]

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What form of correspondence does the function f(x) = 2x + 5 have?

Answers

A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one

What is Function?

A function is defined as a relation between a set of inputs having one output each.

we need to check correspondence of the function f(x) = 2x + 5.

f(x)=2x+5

f'(x)=2

i.e increasing function (one-one).

But it is not onto because f(x) does not take all values in N.

Range of f(x)=Codomain.

It is a one one function.

Therefore the given function f(x)=2x+5 is a one one function.

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Please help need the answer fast

Answers

Answer:

of answer 22837 if I am correct

Consider the functions f(x)=-3x=3 and g(x)=-3x+4 find f(8)

Answers

Check out the attached photo

Are they similar? Yes or no

Answers

Answer:

yesss

Step-by-step explanation:

yes there similar

i think

pls mark brainliest

an air conditioning system can circulate cubic feet of air per minute. how many cubic yards of air can it circulate per​ minute?

Answers

We know that ,

1 feet= 0.33 Yard

Given that .

An air conditioning circulate 1 cubic foot per minutes

So it circulates 0.33 Yards per minute .

an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​

13.32 yards per minute

Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

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What are the exact values of a and b?

Answers

By using trigonometric relations, we will see that:

a = 7/2, b = (7*√3)/2

So the correct option is the second option, counting from the top.

What are the exact values of a and b?

Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).

Then we will use the two relations:

cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)

With that relation we can find the value of b:

cos(30°) = b/7

cos(30°)*7 = b = (7*√3)/2

The other relation we will use is:

sin(θ) = (opposite angle to the given angle)/(hypotenuse)

With that we can get the value of a:

sin(30°) = a/7

sin(30°)*7 = a = 7/2

Then the correct option is:

a = 7/2, b = (7*√3)/2

Which is the second option, counting from the top.

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Give the digits in the ones place and the tenths place.
80.97
ones:
tenths:
10
X
S

Answers

For the given number, the digit at ones place is 0 and at tens place is 8.

What number comes in tenths place?

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.

For the number, 80.97

This number can be written as = 80 + 0.97

The digit at ones place is 0

and digit at tenths place is 8

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k+4=5
k=?
Please I need help

Answers

Answer:

1 its an obvious answer cause 1+4=5

K=1 because 5-4=1 :)

Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
O
U/N N/UT
아름
25 52
이름

Answers

The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

According to the given question.

We have a line AB containing the points A(4, 5) and B(9, 7).

Here, we have to find the slope of line AB.

As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).

Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)

= (7 - 5)/(9 - 4)

= 2/5

Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

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Find the coordinates of the vertices of the figure after the given transformation.

reflection across the x-axis

H(−4, 3), I(−1, 5), J(−4, 0)

Answers

The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

How to find the coordinates of the vertices of the figure after the given transformation?

The coordinates of the vertices of the figure are given as:

H(−4, 3), I(−1, 5), J(−4, 0)

The transformation is given as:

A reflection across the x-axis

The rule of reflection across the x-axis is

(x, y) = (x, -y)

When the above rule is applied on the coordinates of the vertices of the figure, we have:

H' (−4, -3), I'(−1, -5), J(−4, 0)

Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

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what is the range of values for the measurement 500-+4%

Answers

Answer:

480-520.

Step-by-step explanation:

4% of 500 = 500 * 4 / 100 = 20

Write the expression that represents this phrase: the quotient of 10 and x

Answers

The given statement "the quotient of 10 and x​" can be written in the form of an expression as 10/x

What is an Expression?

An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.

Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.

The given statement "the quotient of 10 and x​" can be written in the form of an expression as shown below.

The quotient of 10 and x​ → 10/x

Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x

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WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?

Answers

Step-by-step explanation:

21 seconds. pretty sure

The temperature has been dropping 3 degrees Celsius per hour since midnight. If the temperature is
11 degrees at midnight, what is the temperature at 3:00AM?

Answers

Answer:

2 degrees Celsius

Step-by-step explanation:

I did this by just counting it out:

if the temperature drops 3 degrees every hour, that means we just subtract 3 for every hour after midnight

12:00-11

1:00-8

2:00-5

3:00-2

hope this helps :D

find four consecutive multiples of 4 such that twice he sum of the least and greatest exceeds three times the least by 32.

Answers

According to the question, the four consecutive numbers can be written as :

First = [tex]x[/tex]; Second = [tex]x+2[/tex];  Third = [tex]x+4[/tex]; Fourth = [tex]x+6[/tex]

As per the question, the final expression is :

[tex]2((x+2)+(x+4)) = 3(x)+32[/tex]

[tex]4x+12 = 3x+32[/tex]

[tex]x = 20[/tex]

Therefore, the four values can be calculated by substituting the above value:

[tex]x=20; x+2=22; x+4=24; x+6=26[/tex]

The four consecutive numbers are: [tex]20,22,24,26[/tex]

Substitute the calculated values in the final expression, to check whether the answer is correct or not.

[tex]2(22+24) = 3(20)+32[/tex]

[tex]92=92[/tex]

Therefore, the calculated values are correct.

What are consecutive terms?

Consecutive terms are those terms which follow one sequential order.

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>
EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?

Answers

54.9
Explanation: you just have to multiply both numbers

The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 12 cases
he constant of proportionality is

enter your response here millimeters per DVD case.

Answers

Answer: ---

Step-by-step explanation:

Divide the hight of the stack by 8, multiply that by 12, you should have your answer

17 added to 4 times a number is 57.

(4n)17 = 57

(17 + 4)n = 57

17 + 4n = 57

17 + 4 + n = 57

Answers

17+4n=57 is the correct answer.

evaluate the expression

Answers

Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation

Step 2. Solve using PEMDAS

[tex]\frac{6 ( 6 + 2)}{3}[/tex]

[tex]\frac{6 ( 8 )}{3}[/tex]

[tex]\frac{48}{3}[/tex]

16

Answer:

6(a+c)÷b

6(6+2)÷3

6×8÷3

48÷3

16 Ans

Step-by-step explanation 16is the answer

the driving distance between phoenix and los angeles is 599kilometers. the driving distancce between pheonix and chicago is approximately 2.3 x 10^3. a. which city is nearer to pheonix, los angeles, or chicago

Answers

Answer:

Los Angeles

Step-by-step explanation:

If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.

tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15ºf. this means that the temperature inside the oven will be within 15ºf of the temperature to which it is set. write an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºf. let t represent the temperature inside the oven.

Answers

The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

How to to find the maximum and minimum temperatures ?

The function of absolute value calculates the separation between a point and an origin.

A less-than-compound inequality is represented by:

[tex] |x| \leq a[/tex]

then the solution is

[tex] - a \leq \: x \: \leq \: a[/tex]

according to the question

Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:

[tex] |T - 400| \leq \: 15[/tex]

now apply the solution

[tex] - 15 \leq \: T - 400 \leq \:15[/tex]

then simplify this

[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]

[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]

Hence, The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

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Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.

Answers

Answer: a. 18 teaspoons

b. 6 tablespoons

Step-by-step explanation:

a. 1 tsp: 15 sq ft

270 sq ft * 1 tsp/15 sq ft=

270 * 1/15=

270/15=18 teaspoons

b. 3 tsp = 1 tbsp

18 tsp * 1 tbsp/3 tsp=

18 * 1/3=

18/3=6 tablespoons

The value of 6 in the digit 43. 967 is
A. Unit
B. Tenths
C. Hundredths
D. Hundred

Answers

Answer:

C

Step-by-step explanation:

c would be correct !!

Examine the question.
6x−3=Ax−3−2x
What value must A have for the equation to have infinitely many solutions?

A.) -2
B.) 4
C.) 8
D.) 2

Answers

The answer for your question is 8

Determine the solutions of the equation:
|1/4x+7|-3=24
x= -136 and x = 136
x= -136 and x = 80
x=-112 and x = 80
x= -80 and x = 80

Answers

Answer:

x = -136 and x = 80

Step-by-step explanation:

|(1/4)x +7| - 3 = 24

|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)

now:

(1/4)x + 7 = 27 (first solution)

(1/4)x = 20

x/4 = 20

x = 20×4

x = 80

(1/4)x + 7 = -27 (second solution)

(1/4)x = -34

x/4 = -34

x = -34×4

x = -136

order the fractions from least to greatest 3/5 1/5 1/6

Answers

Answer:

1/5, 1/6, 3/5.

Step-by-step explanation:

Answer:

1/6, 1/5, 3/5

Does this help?

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