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2 years ago

7

Steve managed a charity basketball game. Each ticket to the basketball game cost $15. The expenses for the game were $275. Which

expression can be used to find the total amount of money Steve made for his charity if he sold b tickets and paid th

1 answer:

Nuetrik [128]2 years ago

4 0

Answer:

18.33

Step-by-step explanation:

15x=275

x=275÷15

x=18.33

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2) A recent survey of 2625 elementary school children found that 28% of the children could be classified obese.

Andre45 [30]

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3 years ago

The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.

kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+(n+1)d$

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

$d=a_{n+1}-a_n$

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

$a_1=7$ $a_n=a_1+(n+1)d$

Therefore, the nth term is computed by

d= -3

$a_n=7+\text{ (n-1)}\cdot(-3)$

Refine

d= -3 ,

$a_n=-3n+10$

Now, replacing n=7

$a_7=-3\cdot7+10\text{ = -11}$

So, the answer is -11.

8 0

1 year ago

Find tan(B) in the triangle.

nekit [7.7K]

Step-by-step explanation:

tan = perpendicular / base

acc. to diagram ,

angle C = 90°

such that

AB is hypotenuse

acc to theta ,

AC is perpendicular and BC is base

therefore

tan theta = AC / BC

tan theta = 8/15

5 0

3 years ago

The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If

alekssr [168]

Answer:

The inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $\$20$ each.

If the football team needs to raise at least $\$3,000$ for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold $x$ "Jaguar Cards" for $\$20$ each.

Now, the football team needs to raise at least $\$3,000$ for equipment.

So, the inequality to represent the situation is $20x\geq 3000$ .

Now, on solving we get,

$20x\geq 3000$

$\implies x\geq \frac{300}{20}$

$\implies x\geq 15$

Hence, the inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

4 0

3 years ago

- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and the

eimsori [14]

Answer: option c

length = 9m

Perimeter = 26.4m

Step-by-step explanation:

A rectangle has a width of 4.2 m and an area of 37.8 m^2

We want yo determine the length of the rectangle and the perimeter of the rectangle.

The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.

The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes

2(length +width). So the perimeter of the given rectangle is

2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes

37.8= length × 4.2

Length = 37.8/4.2 = 9m

Therefore, the perimeter is

2(length + 4.2) = 2(9+4.2)

Perimeter = 2× 13.2 = 26.4m

4 0

3 years ago