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2 years ago

Construct the linear equation for the table.

Mathematics

1 answer:

tia_tia [17]2 years ago

8 0

Answer:

Step-by-step explanation:

1. Find the slope: -1

2. Y = -x +b

3. Plug in a point

4. B is 1

5. The equation is Y=-1x+1

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Find the sum of all multiples of 4 between 25 and 100

Mademuasel [1]

Answer:

Sum of all multiples of 4 between 25 and 100 is 1116.

Step-by-step explanation:

Multiples of 4 between 25 and 100 = 28,32,36,40..............,96

let's check the series whether it is an arithmetic progression

a1 = 28 , a2 = 32 , a3 = 36 , a4 = 40

Common difference (d)=a2-a1=32-28 = 4

=a3-a2=36-32 = 4

=a4-a3=40-36 = 4

Common difference exists then the series of numbers is an Arithmetic progression.

To find number of terms :

a(a1) = 28 , d = 4 , l( last term ) = 96

l = a + (n-1)d

96 = 28 + (n-1)4

96 - 28 = (n-1)4

68 = (n-1)4

68/4 = (n-1)

17 = n - 1

17 + 1 = n

18 = n

Sum of all terms:

a = 28 , d = 4 , n = 18 , l = 96

Sn = n/2 ( a + l )

S18 = 18 / 2 (28 + 96)

S18 = 9 (124)

S18 = 1116

Therefore,Sum of all multiples of 4 between 25 and 100 is 1116.

NOTE:

Here 100 is also a multiple of 4 but question is asked between 25 and 100 so 100 is not considered in multiples.

7 0

3 years ago

Yuto has a bag containing 3 red marbles 5 blue marbles 2 green marbles and 8 yellow Marbles what is the total number of possible

sleet_krkn [62]

Answer:

Step-by-step explanation:

Mission Information :

This question is incomplete this line is missing in the question " Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble"

Now coming to the solution ,

Given :

Red marbles=3

blue marbles=5

green marbles=2

yellow Marbles=8

Total number of outcomes can be determined by

=Red marbles + blue marbles + green marbles + yellow Marbles

$= 3\ +\ 5+2 +8=18$

As mention in the given question the Rin is pulling the 1 marble ,Now Total number of outcomes

$=18-1\\=17$

Therefore 17 is the correct answer

6 0

4 years ago

Question 2&3. I really need this help on my homework

Likurg_2 [28]

Answer: Question 2: 0.25 Question 3: 12369

Explanation:Question 3: 93•133

Question 2: 2 divided by 8

5 0

3 years ago

What does y mean in math

Georgia [21]

Answer: There are many uses for the variable* y in math: it is often used as a variable and the y axis of a coordinate plane (the line that is vertical.)

* = Variable: any unknown number in algebra, is usually replaced with letters, such as x or y.

4 0

4 years ago

Is x^2 -4x = =4x +7 a quadratic equation

Tems11 [23]

Answer:

x=4+√23 , 4-√23

Step-by-step explanation:

x^2-4x=4x+7

x^2-8x-7=0

now solving from quadratic equation

x=4+√23 , 4-√23

3 0

3 years ago