Find the product of (x − 3)^2. <br> x^2 + 6x + 9 <br> x^2 − 6x + 9 <br> x^2 + 9 <br> x^2 − 9

At 7:00 p.m., there are 1,000 home-team fans and 700 away-team fans at a football game. After 7:00 p.m, 15 home team fans arrive

OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Step-by-step explanation:

Initially , total home team fans =1000

and away team fans = 700.

7:00 pm to 8:00 pm = 1 hour = 60 minutes

Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is $\frac{15}{10}$

and in 60 minutes the number of arrival home team fans is $\frac{15 \times 60}{10}$

=90

Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team leave.

then in 1 minutes $\frac{5}{10}$ fans leave of away team leave.

and In 60 minutes $\frac{5\times 60}{10}$ =30 fans leave of away team leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67

4 0

3 years ago

While attempting to solve the equation , Hazel made an error. Her work is shown to the right. Explain the mistake, and provide t

balu736 [363]

Answer:

Step-by-step explanation:

X=-11 because,

Step 1: Simplify both sides of the equation.

x

2

+

4

x

=

77

Step 2: Subtract 77 from both sides.

x

2

+

4

x

−

77

=

77

−

77

x

2

+

4

x

−

77

=

0

Step 3: Factor left side of equation.

(

x

−

7

)

(

x

+

11

)

=

3 0

3 years ago

The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab

Vesnalui [34]

Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
This means if after two hours, we only add $38 once overall, never more.
Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
Let's do 1 hour.
1(22) + 38 = 22 + 38, = 60.
For 1 hour he earns $60.
Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
For 2 hours he earns $82.
Let's do 3 hours.
3(22) + 38 = 66 + 38, = 104.
For 3 hours he earns $104.
Let's do 4 hours.
4(22) + 38 = 88 + 38, = 126.
For 4 hours he earns $126.
This is a pattern.
Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
8(22) + 38 = 176 + 38, = 214.
For 8 hours he earns $214.
I hope this helps!

4 0

3 years ago

Read 2 more answers

What is a number line for 5a + 18 < -27?

Alexandra [31]

a < -9

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

5*a+18-(-27)<0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

5a + 45 = 5 • (a + 9)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by 5

Solve Basic Inequality :

2.2 Subtract 9 from both sides

a < -9

3 0

3 years ago

Read 2 more answers

(05.08)Solve for x: 7 over 8 minus 1 over x equals 3 over 4.

NemiM [27]

If you are asking 7/8 - 1/x= 3/4,

first put 3/4 to 6/8 to make it easier.

Move the 7/8 over to the right. You will get 1/x=-1/8.

Simplify, it is x=-8.

Check=7/8 - 1/8=6/8

It checks out.

8 0

3 years ago

Read 2 more answers

Find the product of (x − 3)^2. x^2 + 6x + 9 x^2 − 6x + 9 x^2 + 9 x^2 − 9