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3 years ago

What is the 21st term of the sequence with a1 = -6 and d = 4?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

8 0

Answer:

answer is 74

Step-by-step explanation:

-6+4 x 20

- 6+80=74

alexgriva [62]3 years ago

4 0

Answer:

100% 74 i got it right in muh test !!!! for myastravo!

Step-by-step explanation:

You might be interested in

How many feet are in 100 meters if 1 meter is 1.09 yards? Will mark brainliest if you include clear steps. Thank you!

kramer

Well, there are 3 feet in 1 yard, and 1.09 yards in 1 meter, so then

$\bf 100~\underline{m}\cdot \cfrac{1.09~\underline{yd}}{\underline{m}}\cdot \cfrac{3~ft}{\underline{yd}}\implies \cfrac{100\cdot 1.09\cdot 3~ft}{1}\implies 327~ft$

notice, we use the ratio, and whichever unit you want cancelled, you simply flip the ratio to have it cancelled, if the "m" is atop and you need that cancel, use the ratio with the "m" at the bottom, m/m = 1, and so they cancel out, and so on.

5 0

3 years ago

Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are

34kurt

Bobby is 7 and his sister is 3.

Explanation : his dads age : 41
since his dads age is six more than, you would subtract 6 from 41 to get 35.
and since 35 is 5 times bobby’s age you would divide 35 by 5 to get 7
So bobby is 7.

bobby’s sister :
bobby’s age : 7
bobby’s little sisters age is one less than half of his age you subtract 1 from 7 and you would get 6
Now that it’s one less you have to find half so divide 6 by 2 and you’ll get 3
So bobby’s sister is 3.

bobby’s age : 41 - 6 = 35
35 (divided by) 5 = 7
bobby’s sister : 7 - 1 = 6
6 (divided by) 2 = 3

8 0

3 years ago

Place

Anastaziya [24]

Answer:

$P(A\ and\ B) = \frac{3}{7}$

Step-by-step explanation:

<em>Your question is not well presented; (See Attachment for complete details)</em>

Required

Find P(A n B)

where

A = Event that the place is a city

B = Event that the place is in North

The first step is to get the sample space;

Let S represent the sample space;

$S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}$

$n(S) = 7$

The next is to list events A and B

A = City

$A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}$

B = North America

$B = \{Houston,\ New York,\ Tijuana,\ Canada\}$

The next is to list common elements in A and B

$A\ n\ B = \{Houston,\ New York,\ Tijuana\}$

$n(A\ and\ B) = 3$

The probability of A and B is calculated as follows;

$P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}$

Substitute $n(A\ and\ B) = 3$ and $n(S) = 7$ in the expression above

$P(A\ and\ B) = \frac{3}{7}$

7 0

3 years ago

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

2 years ago

Six friends went to a baseball game.The price of the admission per person was $x.Three of the friends bought a hot dog for $3. W

Ronch [10]

C(cost)=6x+9
9 is the cost of three hot dogs
6x represents 6 tickets and their cost

8 0

3 years ago