Simplify the fraction. 11/55

Answer:

Total amount = £56

Step-by-step explanation:

Let Henry and Gavin be H & G respectively.

Let Henry's and Gavin's share be x.

Given the following data;

Ratio of H to G = 5:3

Henry = G + £14

Translating the word problem into an algebraic expression, we have;

5x = 3x + 14

5x - 3x = 14

2x = 14

x = 14/2

x = £7

Next, we determine the amount earned by Gavin;

Gavin = 3x

Gavin = 3*7

Gavin = £21

For Henry;

Henry = G + £14

Henry = £21 + £14

Henry = £35

Now, to find the total amount earned by Henry and Gavin.

Total amount = H + G

Total amount = 35 + 21

Total amount = £56

Answer:

Option A ) Cylinder is correct.

Step-by-step explanation:

The important information need to consider is

1. Circular cross section when cut parallel to the base

2. Rectangular cross section when cut perpendicular to the base.

Let's consider each options.

Cylinder would have circular cross section when parallel to base and rectangle when it cut perpendicular to the base.

Yes! The cylinder works.

Answer:

Step-by-step explanation:

Quotient is 1.

Remainder = 27.

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle can be expressed as}\\ \\ A=\pi r^2\ or\ A=\frac{\pi d^2}{4}\\ \\ \text{You are told d=11in and to approximate pi with 3.14 so}\\ \\ A=\frac{3.14(11^2)}{4}\\ \\ A\approx 94.985\ in^2[/tex]

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Answer:

-2^5

Step-by-step explanation:

hope it helped. im not sure..

Answer:

Pepperoni

Step-by-step explanation:

Pepperoni showed up the most out of everything else

Answer:

6

Step-by-step explanation:

3+3 = 6

Answer:

There is 1 cat for each dog so the ratio would be 1:1 together.

Step-by-step explanation:

This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1

Answer:

50 :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

[tex]\frac{3}{3} =1[/tex] foot.

Therefore, each section is 1 foot long.

Know more about expression here:

https://brainly.com/question/723406

#SPJ2

Answer:

The y intercept is added to the new parent function.

Step-by-step explanation:

The parent function changed because the y intercept (SLOPE) was added into the new parent function. In order to prove that the change took place with the y intercept being added to the function, you can use any value from 2 and up.

Completion of substitution for X:

Original parent function: Plug in 2 for x

(2)^3 = 8

Completion of substitution for X with NEW parent function: plug in 2 for x

(2)^3 + 2 = 10

Answer:10

Step-by-step explanation:u have to see how many time can a number go into it

(12x^2-10x-12)÷(3x+2)

=(2x-3)(3x+2)÷(3x+2)

=(2x-3)

Step-by-step explanation:

Answer would be (2x-3)

Answer:

x=23

Step-by-step explanation:

let's make this question into equation form

x increase by 10; or x+10

is equal to 33; or =33

so it would look like this; x+10=33

now we can solve it in reverse

33-10=23 so x is 23.

hope this helped, have a great day.

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Answer:

600,000

Step-by-step explanation:

around 620,000 so 600000 is the closest answer

Answer: around 600,000

Step-by-step explanation: you can basically solve this using just basic logic of thinking which would be too large or small

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

you would need to do 6,000 times 2 to find out how much he will need to cover and 6,000 times 2=12000 so the answer is b 200

Answer:

Step-by-step explanation:

6.    x² + 8x + 7

   = x² + 7x + x + 7

   = x (x + 7) + 1 (x + 7)

  = (x + 1) (x + 7)

Option D is the answer.

7.    x² - x - 72

  = x² - 9x + 8x - 72

  = x(x - 9) + 8(x - 9)

Option B is the answer.

8.   x² - 49

  = (x - 7) (x + 7)    [formula used a² - b² = (a-b)]

 Option D is the answer.

9.   9x² - 54x + 72

 =  9(x² - 6x + 8)

 =  9(x² - 4x - 2x + 8)

 =  9[x(x-4) -2 (x-4)]

 =  9[(x - 2) (x - 4)]

 = Option A is the answer.

10.   x⁴ - 3x³ - 10x²

   =  x² (x² - 3x - 10)

   =  x² (x² - 5x + 2x - 10)

   =  x² [x (x-5) + 2 (x-5)]

   =  x² (x+2) (x-5)

Option A is the answer.

Answer:

Compound

Step-by-step explanation:

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Answer:

Area = 50 cm²

Step-by-step explanation:

Area of a trapezium ABDE = ½(a + b)h

where,

a = BD = 2.5 cm

b = AE = 7.5 cm

h = DE = ?

We need to find DE ti be able to calculate the area.

DE = CE - CD

DE = CE - 5

Since ∆ACE is similar to ∆BCD, therefore:

AE/BD = CE/CD

Plug in the values

7.5/2.5 = CE/5

Cross multiply

CE*2.5 = 7.5*5

CE*2.5 = 37.5

Divide both side any 2.5

CE = 37.5/2.5

CE = 15

Thus, DE = CE - 5 = 15 - 5

DE = 10

✅Area of trapezium = ½(BD + AE)DE

= ½(2.5 + 7.5)*10

= ½(10)10

= 50 cm²

Answer:

x=23

Step-by-step explanation:

set them equal to each other since its not same sides

these are alternative exterior

8x-77=3x=38

5x=115

x=23

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer and Step-by-step explanation:

1. Given

This part is given at the beginning of the problem.

2. Corresponding Angles Postulate

Because the lines are parallel, these two angles will be congruent by the corresponding angles postulate.

3. Same-Side Interior Angles Theorem

The same-side interior angles theorem has it so that the angles within parallel lines will add up to 180.

4. Substitution

We can use substitution here because we already determined that the measure of angle UTY is congruent to the measure of angle HGY.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

Below.

Step-by-step explanation:

m <UTY + m <UTR = 180 degrees ( Angles on a straight line YR)

But m < UTR = m<RWX ( Corresponding angles  in the parallel lines SU and VX)

So substituting for m< UTR in the first equation:

m <UTY + m<RWX  = 180.

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3.  undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

Answer: $5

Step-by-step explanation:

Answer:

(-4, -3)

Step-by-step explanation:

Using elimination by addition and subtraction works best here.

Suppose we decide to eliminate x temporarily.  To do this, we multipy the first row by 4, obtaining

-12x + 28y = -72

  4x  - 4y   =   8

Next, multiply the second row by 3, obtaining the "equivalent system"

-12x + 28y = -72

  12x - 12y   =  24

Combining these equations, column by column, we get:

16y = -48.  So y = -3.

Now let's find x.  Substitute -3 for y in the second equation:

4x - 4(-3) = 8, or

4x + 12    = 8, or

4x            = 8 - 12  = -4.  This tells us that x = -4.

The solution is thus (-4, -3).

Step-by-step explanation:

2x + 9° + 3x + 1° =180° (opposite angles of a cyclic quadrilateral are supplementary)

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 34°

Now

Angle A

= 2 * 34° + 9°

= 77°

Hope it will help :)❤

4x+3x+7x+5+2-3

14x+7-3

14x+4

14x + 10 (DO NOT ADD IT TOGETHER THAT'S JUST THE ANSWER I DID THIS IN SCHOOL 2-DAY)

Step-by-step explanation:

(4x+5) +(3x+2) + (7x-3)

Add 4x+3x+7x

14x

Add 5+2+3

10