What is the eighth term in the addition pattern that begins 13, 25, 37, 49? A.
85

B.
97

C.
109

D.
121

Answers

Answer 1

Answer: It's must be B. 97
hope it's helps

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What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?

Answers

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10 2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

Answer:

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Answers

Answer:

$18$ skis and $10$ snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be $x$ and the number of snowboards rented be $y$ .

If a total of $28$ people rented on a certain day, then the total number of skis and snowboards rented that particular day is also $28$ .

This gives us the equation

$x+y=28...eqn(1)$ .

If skis cost $ $16$ , then $x$ number of skis cost $ $16x$ .

If snowboards cost $ $19$ , then $y$ number of snowboards cost $ $19y$ .

The total cost will give us another equation,

$16x+19y=478...eqn(2)$

From equation (1),

$y=28-x...eqn(3)$ .

We put equation (3) into equation (2) to get,

$16x+19(28-x)=478$

We expand the brackets to obtain,

$16x+532-19x=478$

We group like terms to get,

$16x-19x=478-532$

This implies that,

$-3x=-54$

We divide both sides by $-3$ to get,

$x=18$

We put $x=18$ into equation (3) to get,

$y=28-18$

$y=10$

Therefore $18$ skis and $10$ snowboards were rented.

Final answer:

To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.

Explanation:

This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:

x + y = 28 (The total number of skis and snowboards rented is 28)
16x + 19y = 478 (The total income from skis and snowboard rentals is $478)

By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.

Learn more about System of linear equations here:

brainly.com/question/20379472

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Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?

Answers

Answer:

£ 35

Step-by-step explanation:

Ratio = 6 : 1

Gordon's share = 6x

Malachy's share = x

6x - x = 25

5x = 25

x = 25/5

x = 5

Gordon's share = 6x = 6*5 = 30

Malachy's share = x = 5

Total money they get = 30 + 5 = £35

Rs+h²=1 solve for h

Answers

Answer:

h=1-rs

Step-by-step explanation:

rs+h^2=1 square on both sides

rs+h=1 subtract rs

h=1-rs

Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.y = 12x + 3

y = 8x + 23

How many shirts would you have to purchase for the total cost to be the same at both companies?