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3 years ago

Amanda is on the swim team. Each week she swims a total of 6000 meters. How many kilometers does she swim each week ?

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Answer: 6 Kilometers

Step-by-step explanation:

1 kilometer = 1000 meters

6 kilometers=6000 meters

6 x 1000=6000

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The graph of y > 1 2 x - 2 is shown. Which set contains only points that satisfy the inequality? A) {(6, 1), (-1, -3), (4, 4)

Kaylis [27]

Answer:

Option B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

The correct inequality is

$y>\frac{1}{2}x-2$

The solution of the inequality is the shaded area above the dashed line $y=\frac{1}{2}x-2$

see the attached figure to better understand the problem

we know that

If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution

Verify each case

case A) {(6, 1), (-1, -3), (4, 4)}

ordered pair (6,1)

For x=6, y=1

substitute in the inequality

$1>\frac{1}{2}(6)-2$

$1>1$ ---> is not true

therefore

The point not satisfy the inequality

case B) {(1, -1), (-3, -3), (2, 4)}

ordered pair (1,-1)

For x=1, y=-1

substitute in the inequality

$-1>\frac{1}{2}(1)-2$

$-1>-1.5$ ---> is true

The point satisfy the inequality

ordered pair (-3,3)

For x=-3, y=3

substitute in the inequality

$3>\frac{1}{2}(-3)-2$

$3>-3.5$ ---> is true

The point satisfy the inequality

ordered pair (2,4)

For x=2, y=4

substitute in the inequality

$4>\frac{1}{2}(2)-2$

$4>-1$ ---> is true

The point satisfy the inequality

therefore

The set contains only points that satisfy the inequality

case C) {(1, -1), (-3, -3), (4, -2)}

ordered pair (4,-2)

For x=4, y=-2

substitute in the inequality

$-2>\frac{1}{2}(4)-2$

$-2>0$ ---> is not true

therefore

The point not satisfy the inequality

case D) {(-1, -3), (-3, -3), (2, 4)}

ordered pair (-1,-3)

For x=-1, y=-3

substitute in the inequality

$-3>\frac{1}{2}(-1)-2$

$-3>-2.5$ ---> is not true

therefore

The point not satisfy the inequality

4 0

3 years ago

Somebody answer this!!! pls!!!

marusya05 [52]

Answer:

243 in.²

Step-by-step explanation:

A = bh

⇒ A = 13.5 × 18 = 243

4 0

3 years ago

Read 2 more answers

3.5(x+2.2)^2+3.5(y-11.1)^2=21 what is the radius of the circle?

Alchen [17]

The radius of the circle would be 12

4 0

3 years ago

McGwire Aerospace expects to have net cash flow of $12 million. The company forecasts that its operating costs excluding depreci

slava [35]

Based on the net cash flow, the depreciation and amortization, and the tax rate, the expected sales of McGwire Aerospace is $66.67 million.

<h3>What are the expected sales?</h3>

First, find the net income:

= Net cash flow - depreciation and amortization

= 12 - 5

= 7 million

Given this net income, the sales are:

Net income = ( Sales - (Sales x 75%) - 5) x (1 - 40%)

7 / 0.60 = 0.25x - 5

11.67 = 0.25x - 5

0.25x = 16.67

x = 66.67 million

In conclusion, the expected sales are $66.67 million.

Find out more on expected sales at brainly.com/question/28062273

#SPJ4

7 0

1 year ago

Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'

monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) Ali, Carrie and Bryan received a sum of money.

$a$ - Ali's money.

$b$ - Bryan's money.

$c$ - Carrie's money.

(ii) Bryan's money was $\frac{3}{5}$ of Ali's money.

$b = \frac{3}{5}\cdot a$ (1)

(iii) The ratio of Ali's money to Carrie's money was 4 : 1.

$\frac{a}{c} = 4$ (2)

(iv) Ali had $ 160 more than Bryan.

$a = b + 160$ (3)

After some algebraic handling, we have the following system of linear equations:

$3\cdot a - 5 \cdot b = 0$ (1b)

$a - 4\cdot c = 0$ (2b)

$a - b = 160$ (3b)

The solution of the system is: $a = 400$ , $b = 240$ , $c = 100$

The sum of money is:

$s = a + b + c$

$s = 740$

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0

3 years ago