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cricket20 [7]
3 years ago
11

Your name is included in a list of 6 names. One name is selected at random. Write the probability, as a decimal, that it is your

name.
Mathematics
1 answer:
zvonat [6]3 years ago
6 0
The probability of my name being chosen is 1/6. As a decimal, that's 0.16666...

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1. Amelia can do 5 sit-ups. Her goal is to increase to 50 sit-ups by adding 5 more sit-ups to her training schedule each week. A
Olegator [25]

Answer:

(i) Equation

(ii) 10 weeks

Step-by-step explanation:

The scenario is an equation and not an inequality , this is because the number of sit - ups Amelia planned to do is specific , which is 50 , had it been the question used the word like at least , at most 50 , it would have been an inequality.

The question is an example of Arithmetic sequence

From the statement ;

The first term = 5

The common difference = 5 ( since Amelia planned to add 5 more sit - ups to her training schedule each week )

The formula for the nth term of an Arithmetic sequence is given by :

t_{n} = a + (n- 1 )d

t_{n} = 50

a = 5

d = 5

n = ?

substituting the values , we have

50 = 5 + (n - 1 ) x 5

50 = 5 + 5n - 5

50 = 5n

n = 10

Therefore , it will take Amelia 10 weeks to reach her goal of 50 sit - ups

4 0
3 years ago
Answer correctly for brainliest and also get a thanks ! :) please don't answer if you don't know it !
Debora [2.8K]
It's 7:10.  There are 14 gray and 20 black, which simplifies to 7:10.
8 0
3 years ago
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
Multiplying polynomials find the product (2a-1)(8a-5)
Yuki888 [10]
(2a-1)(8a-5)=2a\cdot 8a-2a\cdot 5-8a\cdot 1-5\cdot (-1)=\\ \\=16a^2-10a-8a+5=16a^2-18a +5


4 0
3 years ago
Read 2 more answers
Double the difference between 7 and y
pickupchik [31]

Answer:

Difference indicates subtraction: The difference of a number and 9 is (x−9) Twice the difference means 2(x−9) We know that the answer to this is 2 , so as an equation: 2(x−9)=2.

Step-by-step explanation:

:|

7 0
2 years ago
Read 2 more answers
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