Find the highest common factor of 55 and 605

Answer:

Step-by-step explanation:

thx for the points

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Answer:

10

Step-by-step explanation:

If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm

The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.

Hence,

Hypotenus = sqrt (opposite² + adjacent²)

AX = sqrt[(8²) + (6²)]

AX = sqrt(64 + 36)

AX = sqrt(100)

AX = 10

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer:

x = ~8.76

Step-by-step explanation:

Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.

4/7 = 0.571

5 / 0.571 = ~8.76

Answer:

Ik where u got this q from but:

small bag is £3.60

large is $3.80

Step-by-step explanation:

the 500 grams x 4 to get 2kg then do 90p x 4

then

4kg divided by 2 to get 2kg as the question states, then do £7.60/2

hegarty maths anyone?

Answer: (x - 2)^2 + (y - 15)^2 = 13^2

Step-by-step explanation:

We know that the general equation for a circle is:

(x - a)^2 + (y - b)^2 = R^2

Where:

(a, b) is the center of the circle

R is the radius of the circle.

First, we know that the center of the circle is the point P, (2, 15)

Now, we also know that point M, (7, 3), is located at the circle.

Then we know that the radius of the circle will be equal to the distance between point P and point M.

Remember that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then in our case, we have:

Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13

This means that the radius of the circle is R = 13.

Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:

(x - 2)^2 + (y - 15)^2 = 13^2

Answer:

8

Step-by-step explanation:

1/2(12)=6

Answer:

8

Step-by-step explanation:

1/2(8+4)=6

Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

Answer:

41 minutes

Step-by-step explanation:

Step one:

given data

Susan purchased a prepaid phone card for $15

let the number of minutes be x

and let the total be y

per minute call cost = 14 cents = $0.14 per minute

Hence the expression for the situation is given as

y= 15-0.14x

Step two:

given that the balance after a call is 9.26

9.26=15-0.14x

solve for x

9.26-15= -0.14x

5.74=0.14x

divide both sides by 0.14

x=5.74/0.14

x=41 minutes

Answer: 9:4

Step-by-step explanation:

I think

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

7:4 would be the ratio I think

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

• Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

✯ 3x²

➪ 3 × (2)²

➪ 3 × 4

Therefore, 3x² will be = 12.

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

there is no attached file

Step-by-step explanation:

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)

Step-by-step explanation:

The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).

The graph is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x

y = number of miles

x = number of hours

4 miles per hour.

Now,

The rate is 2 miles per hour.

This means,

y = 2x

Now,

x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour

y = 2 x 1/20 = 1/10 miles = 0.1 miles

The ordered pair is (0.05, 0.1)

x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour

y = 2 x 1/10 = 1/5 miles = 0.2 miles

The ordered pair is (0.1, 0.2)

Thus,

The ordered pairs are (0.05, 0.1) and (0.1, 0.2).

Learn more about coordinates here:

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Answer:

Shawn.

Step-by-step explanation:

We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.

When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.

Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

Learn more about trigonometry here:

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Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

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