Solve equation check solution 3(-2k-2)=-2(4K-11)

Class: Constructing graphs Student Activity Sheet 2; Exploring "Representing data" Date Page 2 of 7 3. What do you notice about

krok68 [10]

Answer:

Explained below.

Step-by-step explanation:

The vertical axis of Graph A represents the year for which the population of Benton is recorded.

Also the axis represents every other year, i.e. 2002, 2004, 2006 and so on.

This implies that the data is recorded for every other year.

Consider the data provided:

Benton population in 1000s Year

10 2002

11 2004

12 2006

13 2008

14 2010

For every 2 years the population of Benton is increasing by 1000.

That is for every year the population of Benton is increasing by 500.

If we make the vertical axis using the years:

2001, 2002, 2003, 2004, 2005, 2006 and so on, the graph will remain same with more points to plot.

So, on altering the vertical axis the graph does not changes much.

5 0

4 years ago

Look at the picture.

Snowcat [4.5K]

The answer is (-7,9)

6 0

3 years ago

What is the answer lol somebody help me please and thank you !

PilotLPTM [1.2K]

I'm guessing that you know about 45-45-90 and 30-60-90 triangles.

In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is $\sqrt{2}$ times the legs.

In 30-60-90 triangles, the legs are in a ratio of 1: $\sqrt{3}$ :2

In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 $\sqrt{2}$ because of the ratio of the sides of a 45-45-90 triangle.

The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is $\sqrt{3}$ : 2

We can create an equation to solve for x using these ratios:

$\frac{\sqrt{3} }{2}$ = $\frac{x}{9\sqrt{2} }$

Cross multiply:

2x = 9 $\sqrt{6}$

x = $\frac{9\sqrt{6} }{2}$

Option C

4 0

3 years ago

An above ground swimming pool is leaking after 1 and 1/2 hours the pool has leaked 7/8 of a gallon of water how many gallons of

Aleksandr [31]

Answer:

In 1 hour the amount of water leaking from pool = $\frac{7}{12}$ gallon of water

Step-by-step explanation:

Given as :

The amount of Leaking of water from the pool = $\frac{7}{8}$ gallon

The time taken fro leaking $\frac{7}{8}$ gallon of water = 1 $\frac{1}{2}$ gallon hour

Or The time taken fro leaking $\frac{7}{8}$ gallon of water = $\frac{3}{2}$ hour

∵ $\frac{3}{2}$ hour takes for leaking $\frac{7}{8}$ gallon of water

∴ In 1 hour the amount of water leaking from pool = $\frac{7}{8}\setminus \frac{3}{2}$

Or, In 1 hour the amount of water leaking from pool = $\frac{7}{12}$ gallon of water Answer

8 0

3 years ago

What was the original cost of the jacket.

True [87]

Answer:

(c) $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

5% disount: (1 -5%)·p = $76 . . . . where p is the original price

p = $76/0.95 = $80 . . . . . . . the original price

10% discount: (1 -10%)·p = $72

p = $72/0.90 = $80

25% discount: (1 -25%)·p = $60

p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

add back that 5% to the 5%-discounted price: $76 +4 = $80
multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.

5 0

2 years ago