What is the GCF of 36, 48, and 60?

hm

Step-by-step explanation:

I'd go with associative because its re grouping

Answer:

Step-by-step explanation:

the property is : a+b= b+a    comutative for +

Answer:

[tex]\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}[/tex]

Step-by-step explanation:

[tex]f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/[/tex]

Answer:

31

93

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

y = 3x

y - x = 62

3x - x = 62

2x = 62

2x/2 = 62/2

x = 31

y = 3x

y = 3*31

y = 93

Final answer:

To find two positive numbers where one is 3 times the other and their difference is 62, let one number be x, then solve the equation 3x - x = 62 to find the numbers 31 and 93.

Explanation:

To find the numbers:

Let one number be x, then the other number is 3x.

Form an equation: 3x - x = 62.

Solve for x: 2x = 62, x = 31.

So, the two numbers are 31 and 93.

Hey!

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Solution:

The equation is written in slope-intercept form!

~Formula

y = mx + b

~Terms

m = slope

b = y-intercept

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Answer:

[tex]\large\boxed{9~=~slope!}\\\large\boxed{1~=~y~intercept!}[/tex]

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Hope This Helped! Good Luck!

Hi, let me help you out!

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We are given an equation in slope-intercept form:

[tex]\longrightarrow\tt{y=mx+b}[/tex]

Where m is the slope, and b is the y-intercept.

Now let's find the slope of the given line.

Note: The slope is the coefficient of x.

The slope is 9, and the y-intercept (the constant term added to or subtracted from the slope) is -1.

I hope this helps you! Have an awesome day!

If you need any explanation or clarification, feel free to ask! :D

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Answer:

78.54 [tex]m^3[/tex]

Step-by-step explanation:

Use the formula for the volume of a cone of circular base with radius "R" and height "H", using the given values for the radius R (5 meters), and the cone's height (3 meters)

[tex]Volume= \pi R^2 \frac{H}{3} \\Volume = \pi 5^2 \frac{3}{3} m^3 = 78.539816....  m^3[/tex]

And we round the answer to two decimals:

Volume = 78.54 [tex]m^3[/tex]

Answer:

Here's what I get  

Step-by-step explanation:

Each digit in a  number has a place value, based on its distance from the decimal point.

The value of a digit  is the digit multiplied by its place value.

The place value of a digit increases by a factor of 10 as we move left on the place value chart and decreases by a factor of 10 as we move right.  

Numbers to the left of the decimal point increase in the order: ones, tens, hundreds, thousands, etc.

Numbers to the right of the decimal point decrease in the order: tenths, hundredths, thousandths, etc.

So, we put the digits of 5.55 on the chart according to their place value.

Hey!

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Solution:

2x + 9 = 35

2x + 9 - 9 = 35 - 9

2x = 26

2x/2 = 26/2

x = 13

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Answer:

x = 13

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Hope This Helped! Good Luck!

Answer:

x = 13

Step-by-step explanation:

Given

2x + 9 = 35 ( isolate 2x by subtracting 9 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

The answer is  f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80

The three linear  equations that represent the line perpendicular to the line 5x - 2y = -6 and passing through the point (5, -4) are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).

Firstly, to find a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line. The equation 5x - 2y = -6 can be rewritten in slope-intercept form (y = mx + b) as y = 2.5x + 3, so its slope is 2.5. The negative reciprocal of 2.5 is -2/5. Therefore, the slope of the line we are looking for is -2/5.

Secondly, a line passes through a given point (5, -4), so we can use the point-slope form of the equation, which is y - y1 = m(x - x1). By substituting the values, we get y - (-4) = -2/5 * (x - 5), which simplifies to y + 4 = -2/5 * (x - 5).

Lastly, to find other representations of the same line, the standard form of a linear equation is Ax + By = C. Converting y + 4 = -2/5 * (x - 5) to standard form gives us 2x + 5y = -10. So, the three equations that represent the line are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).

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Answer:

74 feet in total. All it is is the perimeter

Answer

See below

Step-by-step explanation:

The given line has equation

[tex]5x - 2y =  - 6[/tex]

The slope intercept form is

[tex]y =  \frac{5}{2} x + 3[/tex]

The slope of this line is

[tex] m = \frac{5}{2} [/tex]

The line perpendicular to this line has slope

[tex] -  \frac{2}{5} [/tex]

If this line passes through (5,-4), the point-slope form is

[tex]y + 4 =  -  \frac{2}{5} (x  - 5)[/tex]

The slope-intercept form is

[tex]y =  -  \frac{2}{5} x- 2[/tex]

The standard form is

2x+5y=-10

Answer:

Y=25-4x

Y means the distance Jordan still has to walk after x hours

Step-by-step explanation:

Answer:

y = 25 - 4*x

The y-intercept represents the total distance Jordan has to walk

Step-by-step explanation:

By Definition, speed = distance/time. We are interested in distance, then:

distance = speed*time

Calling x the hours of walking, and knowing that his speed is 4 mi/h, then:

distance = 4*x

The trail length is 25 miles, so if he walked 1 mile, 25 - 1 = 24 miles are left, in general:

y = 25 - 4*x

where y is the distance Jordan still has to walk.

The y-intercept is found replacing with x = 0, then:

y = 25 - 4*0

y = 25

which represents the total distance Jordan has to walk

Answer:

B. Translation 2 units down

Step-by-step explanation:

Each time you start from a certain y-intercept, its prime gets translated two below each time:

n[1, 0] to n'[-1, 0]

m[4, 0] to m'[2, 0]

Now, it does not look perfectly shifted down for m' and m, but it it is definitely translated.

I am joyous to assist you anytime.

Answer:

a= 7

b=9

c=4

Step-by-step explanation:

Answer:

a= 7

b=9

c=4

Step-by-step explanation:

lol

The even number I picked was 6, here is why it is an even number.

You can put each in even groups, without having one group be more or less then the other, if I picked an odd number like 7, one group would had more, and the other 2 groups would have less.

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Hope this helped, have a great day!

The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).

Calculating the Surface Area of a Sphere

To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:

Surface Area = 4 (pi) (92)

Surface Area = 4 (pi) (81)

Surface Area = 324 (pi)

So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.

[tex]\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

Given equation :-

[tex]y + 2 = \frac{1}{3} (x - 6)[/tex]

• Slope intercept form is

y = mx + c

where , m is slope of the straight line

and c is y intercept of the line !

Solving and simplifying the given equation ,

[tex]3y + 6 = x - 6 \\ \\ 3y = x - 6 - 6 \\ \\ 3y = x - 12[/tex]

[tex]y = \frac{1}{3} x - \frac{12}{3 } \\ \\ y = \frac{1}{3} x - 4[/tex]

So, m = 1/3 and c = ( -4 )

hence , the required slope intercept form of the equation is

[tex]y = \frac{1}{3} x - 4[/tex]

Answer:

-74.069, -74.69, 74.59, 74.6

Step-by-step explanation:

negative numbers are smaller than positives

Answer:

-74.69, -74.069, 74.59, 74.6

Step-by-step explanation:

Answer:

y = 12x + 50

Step-by-step explanation:

Given,

The fixed amount of monthly allowance = $ 50,

Also, the earning per hour = $ 12,

If she works x hours in a month,

Then her total earning in x hours = 12x,

Also, total earning for a month ( say y ) = earning for x hours + fixed allowance

⇒ y = 12x + 50

Which is the required linear equation.

Answer:

y = 12x + 50

Step-by-step explanation:

Just took post-test 15/15

Answer:

D

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(2, 2) and (x₂, y₂ ) = D(- 1, 8)

CD = [tex]\sqrt{(-1-2)^2+(8-2)^2}[/tex]

     = [tex]\sqrt{(-3)^2+6^2}[/tex]

     = [tex]\sqrt{9+36}[/tex] = [tex]\sqrt{45}[/tex] ≈ 6.7 → D

Answer:

35/50

= x/100

3500=50x

x=3500/50=70

70%

Answer:

Step-by-step explanation:

% of 50 s:hirts is 35 shirts: (35×50)/100 = 17.5

Answer:

8.20 grams ; 8.20 cm³

Step-by-step explanation:

At first convert it to m³ from dm³

we know,

1 dm³ =10⁻³ m³

∴ 8.20 X 10⁻³dm3 = 8.20 X 10⁻³ x 10⁻³ m³

                              =8.20 X 10⁻⁶ m³

m³ to gram :

1 m³ = 10⁶ grams

∴ 8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶x10⁶) grams

                            = 8.20 grams

m³ to cm³ :

1m³ = 10⁶ cm³

∴8.20 X 10⁻⁶ m³ = (8.20 X 10⁻⁶ x 10⁶) cm³

                           =8.20 cm³

Note:

1 cm³ = 1 gram

Answer:

The slope is 1

Step-by-step explanation:

Slope is change in y over change in x.

You have point (1,2) and point (0,1)

change in y = 2-1 = 1

change in x = 1-0 = 1

change in y over change in x  = 1/1 = 1

Answer:

-22/3

Step-by-step explanation:

Multiply the whole number by the denominator, and then add the numerator to get the improper fraction.

Norma's credit card balance at the end of the 7th month is $1,487.22.

Calculate the interest for each month.

Interest = (Previous month's balance * APR) / 12

Calculate the new balance for each month.

New balance = Previous month's balance + Purchases + Interest - Payments

Here's the calculation for each month:

Month 1:

Interest: 0 (No interest on the first month)

Balance: $500 + $0 = $500

Month 2:

Interest: ($500 * 0.16) / 12 = $6.67

Balance: $500 + $200 + $6.67 - $10 = $696.67

Month 3:

Interest: ($696.67 * 0.16) / 12 = $9.29

Balance: $696.67 + $300 + $9.29 - $20 = $986.29

Month 4:

Interest: ($986.29 * 0.16) / 12 = $13.15

Balance: $986.29 + $100 + $13.15 - $20 = $1079.44

Month 5:

Interest: ($1079.44 * 0.16) / 12 = $14.39

Balance: $1079.44 + $150 + $14.39 - $10 = $1233.83

Month 6:

Interest: ($1233.83 * 0.16) / 12 = $16.45

Balance: $1233.83 + $0 + $16.45 - $15 = $1235.28

Month 7:

Interest: ($1235.28 * 0.16) / 12 = $16.47

After all the computations, taking into consideration the amount spent and paid earlier,

Norma's credit card balance at the end of the 7th month has amounted to $1,487.22.

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Norma's credit card has an APR of 16%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below.

Month Purchases Payments

1 $500 $0

2 $200 $10

3 $300 $20

4 $100 $20

5 $150 $10

6 $0 $15

7 $250 $15

Calculate Norma's credit card balance at the end of the 7th month.

Answer: 389.46

Step-by-step explanation:

Add all payments received.

trust

The slope is the change in Y over the change in X.

A point is written as ( X,Y), where the first number is the X and the second number is the Y.

You have:

(5,3) and (5,-9)

The change in Y is  -9 - 3 = -12

The change in X is 5-5 = 0

The slope becomes -12/0

Because you have a 0 on the bottom of the fraction the slope is undefined because you cannot divide by 0.

The slope is undefined.

Answer:

9+x< -17

(make sure there's a line under the less than sign to make it work to)

Step-by-step explanation:

the product of 9 and x describes an addition problem, so it would be 9+x. after you put the less then or equal to sign and then -17.

Hope this helps

To solve the inequality 9x ≤ -17, divide both sides by 9 to find x ≤ -17/9, meaning x can be any value less than or equal to approximately -1.888.

The student's question pertains to an inequality in mathematics involving a variable x and requires an understanding of algebraic inequalities. To solve the inequality 9x ≤ -17, we need to isolate the variable x. We can do this by dividing both sides of the inequality by 9, which gives us x ≤ -17/9. It is important to note that dividing by a positive number does not change the direction of the inequality sign.

The value of x must satisfy this inequality, so any number less than or equal to -17/9 is a solution to the inequality. That means x could be -2, -3, or any other value that is less than or equal to approximately -1.888... (since -17/9 is a decimal approximation of -1.888...).

Answer: They have the same amount (11 )

Step-by-step explanation: just because the numbers are switched, doesn’t mean anything( no difference in the numbers.