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aksik [14]
3 years ago
9

PLS HELP WILL MARK BRAINLIEST!!!!!!!! answer both questions (they are two separate questions)

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

\frac{ {x }^{12} }{ {x}^{6} }  =  \\

{x}^{12 -6 }  =

{x}^{6}

Thus c is the correct option .

_____________________________________________

\frac{ - 57 {y}^{2}  {z}^{3} }{3 {y}^{5}  {z}^{3} }  =  \\

\frac{ - 19 \times 3 {y}^{2} {z}^{3}  }{ {y}^{3}  \times 3 {y}^{2}  {z}^{3} }  =  \\

\frac{ - 19}{ {y}^{3} }  \\

Thus a is the correct option .

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Find the ages of the people and tree
Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

     y = Eilidh's age

     z = Caitlin's age

We have three conditions.

(1)  x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2):                      z - x = 20

Rearrange:                 (4)             -x + z = 20

Solve (2) for y:           (5)                     y = z - 15

Substitute into (3):         x +  z - 15  + z = 31

                                 (6) x + 2z             = 46

Step 2. Set up two new equations in two variables

(5)                          -x +   z = 20

(6)                           x + 2z = 46

Add (5) and (6):           3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

 x          = 2

Step 4. Substitute x into (1)

                                    2 = y - 5

Add 5 to each side     y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

      y = tree's age

We have two conditions.

                                     (1)          y = 7x

                                     (2)   x + y = 352

Rearrange (1)                (3) -7x + y =     0

                                     (2)    x + y = 352

Subtract (3) from (2)          8x       = 352

Divide each side by 8         x       =    44

Substitute y into (1)                    y = 7 × 44

                                                  y =   308

Ewan's age is 44; the tree's age is 308.

5 0
3 years ago
If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​
jeka57 [31]

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

3 0
2 years ago
Read 2 more answers
Dilip is going to paint a shoebox to use for storage of his trading cards. The shoebox is 23 inches long, 10 inches wide, and 8
chubhunter [2.5K]

The answer is 988 square inches. L=23 W=10 H=8

The equation for surface area is 2(L x W) + 2(L x H) + 2(W x H)

Next, you need to substitute the values into the equation to get:

Surface area= 2(23 x 10) + 2(23 x 8) + 2(10 x 8)

Now finish solving the equation to get an answer of 988 square inches!

5 0
4 years ago
In the Volume of Cylinders, Cones and Spheres section, what is the volume of a sphere with a radius of 6in? *
Rudiy27

Answer:

The volume of the sphere is 288π in³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius

V = ⁴⁄₃πr³

V = ⁴⁄₃ * π * (6in)³

V = π * ⁴⁄₃ * 216 in³

V = 288π in³

The volume of the sphere is 288π in³

4 0
4 years ago
A rectangle has a permeter of 64 inches and a length of 22 inches Which equation can you solve to find the width?​
Zina [86]

Answer:

64/22 = width

3 0
3 years ago
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