You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.

If John ran a 5-kilometer marathon how long was that in meters?

kolbaska11 [484]

5000 meters in 5 kilometers I'm pretty sure

3 0

4 years ago

Which ordered pair would be a solution on the graph of the following system of inequalities: y is greater than or equal to negat

daser333 [38]

Ordered pair is $( x, y)= ( \frac{20}{17} , \frac{-126}{17} )$

Step-by-step explanation:

We have the following inequalities:

$y \geq \frac{-x}{2} - 8$ and $y < 8x +2$ . In order to find ordered pair would be a solution on the graph .Let's solve both inequalities , and will take common solution from both of them !

$y = \frac{-x}{2} - 8 \\$ and , $y = 8x +2$ which implies:

⇒ $8x + 2 = \frac{-x}{2} - 8$

⇒ $\frac{17x}{2} = - 10$

⇒ $x = \frac{-20}{17}$

putting value of x in both inequalities we get,

$y \geq \frac{-x}{2} - 8$ and $y < 8x +2$

$y \geq \frac{-(\frac{-20}{17} )}{2} - 8$ and $y < 8.(\frac{-20}{17}) + 2$

$y \geq \frac{-126}{17}$ and $y < \frac{-126}{17}$

Hence at x = $\frac{-20}{17}$ and y = $\frac{-126}{17}$ above inequalities are satisfied. ∴ Ordered pair is $( x, y)= ( \frac{20}{17} , \frac{-126}{17} )$

4 0

4 years ago

Read 2 more answers

Can anyone answer the questions asked in the picture?

Marina CMI [18]

The greatest number of binders is 5, the greatest number of notebooks is 10. If she buys 7 notebooks then she can only buy 1.

5 0

3 years ago

A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink

Tresset [83]

Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
. . pineapple = 2/12*600ml = 100 ml pineapple
. . orange = 7/12*600ml = 350 ml orange
. . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
. . pineapple = 2/12*2400ml = 400 ml pineapple
. . orange = 7/12*2400ml = 1400 ml orange
. . lime = 3/12*2400ml = 150 ml lime

Thus . . . (for Karen) . . .
A = 2400 ml of drink
B = 400 ml of orange juice
C = 1400 ml of pineapple juice

5 0

3 years ago

Of all boxes of girl scout cookies 22.5% are thin mints. If a girl scout troop sales 256 boxes of cookies how many will be thin

saul85 [17]

Answer:

58 percent

Step-by-step explanation:

256×0.225≈58

6 0

3 years ago