Help with question 14!!

Question

Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35

Answer:

Step-by-step explanation:

assuming that 5v2 is 5², and 14v4 is 14^4

5² = 25

14^4 = 38416

35 = 35

The factors of 25 are: 1, 5, 25

The factors of 35 are: 1, 5, 7, 35

The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416

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

the greatest common factor is 1

Answer:

Problem 1. (19/2)b + 15

Problem 2. 3/16

Step-by-step explanation:

Question number 1

5/8 (16b+24) -1/2b  =

= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b

= 10b + 15 - (1/2)b

= (20/2)b - (1/2)b + 15

= (19/2)b + 15

Question number 2

3/4 (16/64 + 12a) -9a =

= (3/4) * (16/64) + (3/4) * 12a - 9a

= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a

= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a

= 3/16 + (3 * 3)/(1 * 1) * a - 9a

= 3/16 + 9a - 9a

= 3/16

Answer:

A and C

Step-by-step explanation:

It is certainly not D. She holds no hope for improvement, not really. She is sad that there has not been anything good happening and realistic enough to know that things are going from bad to worse.

C might be possible, but it doesn't really sound like she's blaming anyone, not in that passage.

B There's too much dispair in what  she is saying to believe that a miracle  will happen.

A would be my choice.

Three

Pinnacle means highest,not lowest. Answer C

Answer:

let's x be the shortest piece

the middle piece is 1,73 *x

the longest piece is 3,09 x

then if we sum the 3 pieces we will get the steel rod that is 64 feet long

so x+1,73x+3,09x= 5,82x= 64  then x= 10,99 = 11

the shortest piece is 11 feet

the middle piece is 1,73*11=19,03 feet

The longest piece is: 3,09*11= 33,99= 34 feet

Step-by-step explanation Eeė

Answer:

A. If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Step-by-step explanation:

Answer:

A= Angle 1 congruent to angle 2

B= Transitive Property

C= Converse Corresponding angles theorem

Step-by-step explanation:

Answer:

the answer is D 51 because if you do 29.58 divided by 58 you get .51 which is 51% decreased.

Step-by-step explanation:

Answer:

a(4) = 5 5/6

a(10) = 6 5/6

Step-by-step explanation:

To find the 4th term, let n =4

a(n) = 5 + (n + 1) 1/6

a(4) = 5 + (4+1) 1/6

        =5+5 * 1/6

         = 5 + 5/6

          = 5 5/6

To find the 10th term, let n =10

a(n) = 5 + (n + 1) 1/6

a(10) = 5 + (10+1) 1/6

        =5+11 * 1/6

         = 5 + 11/6

          = 5 + 1 5/6

         = 6 5/6

Answer:

2,-3

Step-by-step explanation:

1.{(x, y): x = 2} we know x = 2

2.  {(x, y): y -3] we know y = -3

3. x,y = 2,-3

Answer:

3,4,1,2 is the order in which it goes in (go left to right)    :)

Step-by-step explanation:

Answer:

$24.64

Step-by-step explanation:

30% off is equal to multiplying by 0.7

(32*0.7)*1.1

Sales tax increases the price and so you multiply by 1.1 (equal to increasing 10%)

32*0.7*1.1=24.64

He will pay $24.64 for the game.

Answer:

8x¹²y³

Step-by-step explanation:

 (2x⁴y)³             Cube everything inside parentheses.

= 2² × (x⁴)³ × y³

= 8x¹²y³

Answer:

Yes

Step-by-step explanation:

Because it passes vertical line test.

Yes, because y = x + 3 is a first degree function which is a linear function. Just ignore the absolute value.

Answer:

Step-by-step explanation:

Omar bought 15 pizzas in May.

In May, he bought 3 more than twice the number that he bought in April.

Since we don't know how many he bought in April, let X = the number of April pizzas.

Then, 15 = 2X + 3

Now you can subtract 3 from both sides, then divide both sides by 2 to leave X by itself and discover what it equals.

Final answer:

Omar bought 24 pizzas in April, calculated by setting up an equation based on the information that in May he bought three more than twice the pizzas he got in April.

Explanation:

The question is asking to find the number of pizzas Omar bought in April given that he bought three more than twice the number in May, and he bought 15 pizzas in May. To solve this, we can set up an equation: April Pizzas + 3 = 2 × (April Pizzas) + 2 × 3. Since we know that Omar bought 15 pizzas in May, we substitute 15 for the total number of Pizzas in May, which gives us: April Pizzas + 3 = 30. Subtracting 3 from both sides gives us April Pizzas = 27 - 3, so April Pizzas = 24. Therefore, Omar bought 24 pizzas in April.

Answer:

48 times wider

Step-by-step explanation:

Convert length of train to inches:

[tex]72 * 12 = 864[/tex] inches

Divide the length of the train by the length of the model train to find the scale.

so, 864 ÷ 18 = 48

and since the model train is proportional to the train, the window on the train is 48 times wider than the window on the model.

Answer:

48

Step-by-step explanation:

Answer: x = 5

You can pick any number you want, as long as it's not zero. The equation x = 5 has all points on this line that have an x coordinate of 5. The y coordinate can be anything you want

Example points on this line are: (5,1) and (5,2)

Note: this is a vertical line with the slope undefined. There is no y intercept. This is not a function because it fails the vertical line test.

Answer:

the company's payment was $1720

Step-by-step explanation:

Mary's total cost (without the monthly premium) is $630

If you mean side BC (instead of angle BC), then the answer is 22 units.

To get this answer, set the sides AB and AC equal to each other and solve for x

AB = AC

2x - 24 = x - 2

2x-x = -2+24

x = 22

Since BC = x, and x = 22, this means BC is 22 units long.

We have m∠C = m∠B, therefore it's an isosceles triangle.

Therefore we have the equation:

2x - 24 = x - 2       add 24 to both sides

2x = x + 22      subtract x from both sides

x = 22

BC = x

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

x - 9 > - 10

x > - 10 + 9

x > - 1

Let's go:

[tex]\frac{32}{6x + 6} = \frac{24}{9x - 9} \\\\ 32.(9x - 9) = 24.(6x + 6) \\\ 288x - 288 = 144x + 144 \\\ 288x - 144x = 144 + 288 \\\ 144x = 432 \\\ x = 3[/tex]

I hope I helped you.

Answer:

Step-by-step explanation:

Use Angle bisector theorem (look at the picture)

[tex]\dfrac{24}{9x-9}=\dfrac{32}{6x+6}\qquad\text{cross multiply}\\\\24(6x+6)=32(9x-9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(24)(6x)+(24)(6)=(32)(9x)+(32)(-9)\\\\114x+144=288x-288\qquad\text{subtract 144 from both sides}\\\\144x=288x-432\qquad\text{subtract}\ 288x\ \text{from both sides}\\\\-144x=-432\qquad\text{divide both sides by (-144)}\\\\x=3[/tex]

Step-by-step explanation: So this one can be a little confusing, but I think I can help. You see if 'y'= number of feet and 'x'= number of meters then y=3.28x is a way for you to figure out how many feet are constant to every meter.

Look at it more like, Number of Feet= 3.28 times the number of meters.

If you want to figure out many feet are constant to let's say...2 meters, then you would replace the 'x' variable with 2 and multiply it by 3.28.

It would look something like this:

y=3.28(2)

y= 6.56

Thus, every 1 feet there are 6.56 meters, or 6.56 meters equals 1 foot.

Hope this helps a little, tell me if you need anymore help with this!

Answer: After 2:29 hours both Aldrin and Jan will be 13 km apart from each other.

Time at that instant will be : 4:00 pm + 2.29 hours= 6:29 pm

Step-by-step explanation:

According to the figure:

Ab= c = 13 Km

AC = b = [tex]distance= speed\times time =5\times t[/tex]=5t Km

After two hours the distance covered by the Aldrin say till point D :

[tex]distance=speed\times time=3km/hr\times 2 hrs=6 Km[/tex]

Since, we are interested in determining the time at which Aldrin and Jan both 13 Km apart. For that Aldrin Additional distance covered by the Aldrin from point D to B is :

[tex]distance=speed\times time= 3km/hr\times t=3t Km [/tex]

CB= a = CD+DB= 6+3t

We will apply Laws of cosines:

[tex]C^2=A^2+B^2-2AB\times Cos\theta[/tex]

[tex](13)^2=(6+3t)^2+(5t)^2-2(5t)(6+3t)Cos 60^o[/tex]

[tex]19t^2+6t-133=0[/tex]

On solving the the above equation by quadratic formula we get two values of 't'

1) t = 2.49 hours , 2) t = -2.80 hours

Since,time cannot be in negative so we will ignore the negative value of t

t = 2.49 = 2:29 hours ,(0.49 hour=0.49 × 60 min=29.4 min)

After 2.49 hours after the walking of Jan. Both Aldrin and Jan will be 13 km apart from each other.

Time at that instant will be : 4:00 pm + 2:29 hours= 6:29 hour

Answer:

g(2)=1.5. Which would be three.

Step-by-step explanation:

You would just plug in n=2 into the equation and then divide it out.

The value of n, when g(n) is 1.5, given that g(n), varies inversely with n and equals 6 when n is 2, we first find the constant of variation k = 12 and then divide k by 1.5 to get n = 8.

If g(n) varies inversely with n, the relationship between g(n) and n can be expressed as g(n) = k/n, where k is a constant. When g(n) = 6 and n = 2, we can find the constant k by multiplying 6 and 2 to get k = 12.

To find the value of n when g(n) = 1.5, we can set up the equation 1.5 = k/n. Using our previously found constant k (12), we substitute it into the equation to get 1.5 = 12/n. Solving for n, we multiply both sides of the equation by n and then divide both sides by 1.5 to get n = 12/1.5, which simplifies to n = 8.

Answer:

New Slope is -3

Step-by-step explanation:

First we will need to simplify the equation to make it easier. so since all numbers are divisible by 2 so instead of -6x-2y=12 the new equation will be -3x-y=6. then you are gonna solve for y and the answer is -y=3x+6. so then you will divide by -1 to make y positive. then Your Final Equation is y=-3x-6

Your new slope is -3

Answer:

X           Y

0          $500

1           $465

2          $430

3           $395

4          $360

5          $325

6          $290

Step-by-step explanation:

You subtract 35 from the first Y.

Answer:

C. y = ½x

Step-by-step explanation:

Step 1. Find the slope of the line

The general equation for a straight line is

y = mx + b

The slope m is

m =(y₂ -y₁)/(x₂/x₁)

Your points are (-10, -5) and (20, 10).

m = [10 – (-5)]/[20 – (-10)]     Remove inner parentheses

m  = (10+5)/(20 + 10)

m = 15/30

m = ½

===============

Step 2. Find the equation of the line

Substitute the point (20, 10) into the general equation.

10 = ½×20 + b

10 = 10 + b

b = 0

The equation of the line is y = ½x.

The graph shows your line passing through your two points with a slope

m = ½ and a y-intercept at (0, 0).

Answer:

rail rise approximately 0.19 m above the ground

Step-by-step explanation:

as we know that

1m=100cm

and 1cm=[tex]\frac{1}{100}[/tex] m

similarly

19cm=[tex]\frac{19}{100}[/tex]m

19cm=0.19m

rail rise approximately 0.19 m above the ground

The calculated sagitta is approximately 0 meters, considering the very small expansion compared to the original length of the rail.

Assuming the rail forms an arc of a circle with the expansion, the rail's ends remain on the ground, and only the center rises.

Consider the original length of the rail as the chord of the circle, and the expanded length as the arc of the circle. The rise of the rail's center is the sagitta (height) of the arc. The length of the chord (C) is 2000 meters, and the expansion (e) is 0.19 meters (19 centimeters). The length of the arc (A) is C + e, which equals 2000.19 meters.

The formula for the sagitta when the arc is very close to the chord in length is given by:

Sagitta (s) ≈ (e² / (8 * C)) + (C² / (8 * A))

Plugging in the values:

s ≈ (0.19² / (8 * 2000)) + (2000² / (8 * 2000.19))

After calculation:

s ≈ 2.25 × 10⁻³ m + 250 m

s ≈ 250.00225 m

Since we are dealing with a very small expansion relative to the size of the rail, the sagitta (height increase of the center of the rail) is very close to 0 meters.

Answer:

v = 4/5 or 0.8

Step-by-step explanation:

Givens

These two corresponding parts are equal

Equation

Answer

v = 4/5 or v = 0.8