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wolverine [178]
2 years ago
6

Write an explicit formula for the following sequences. -4, -6, -8, -10...

Mathematics
1 answer:
LekaFEV [45]2 years ago
6 0

Answer:

tn=-2n-2

hope this helps :)

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GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
Vika [28.1K]

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

4 0
3 years ago
Jael has a monthly budget of x dollars. She spends $1,500 on her mortgage every month. One-fourth of her remaining budget is spe
Alecsey [184]

Answer:

B. y=(x-1500)/4

Step-by-step explanation:

Given that:

Monthly budget = x dollars

Monthly mortgage = $1500

Recreational activities = 1/4 of remaining budget

Amount in dollar spent on recreational activities =

(Monthly budget - monthly mortgage) * 1/4

(x - 1500) * 1/4

Hence,

y = (x - 1500) / 4

5 0
2 years ago
Solve the equation
Vikki [24]

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

4 0
3 years ago
there are 8 streets to be named after 8 tree types, the first four streets are Cedar, Willow, Pine, and Ash, without regard to o
katovenus [111]
What is the question?
3 0
3 years ago
Read 2 more answers
A 4th grade class took a field trip to a science museum. There are 24 students in the class. Each student
brilliants [131]

Answer:

<em><u>$432</u></em>

Step-by-step explanation:

Students:24

Ticket:$9

Lunchbox:$9

9+9=18

24x18=$432

4 0
2 years ago
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