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Elodia [21]
2 years ago
14

1. Y varies inversely with x. If y = 9 when x = -5, find the value of x when y=-6.

Mathematics
1 answer:
Gelneren [198K]2 years ago
3 0

Answer:

Step-by-step explanation:

1 )  Y∝ 1 / X

Y = k / X

Y = 9 , X = -5

Putting the values in the relation above

9 = k / - 5

k = -45

Y = - 45 / X

Put Y = - 6

- 6 = - 45 / X

X = - 45 / -6

= 7.5

2 )

Luke and Nora can peel 12 carrots in 5 minutes

in 1 minute Luke and Nora can peel 12 / 5 carrot

in 1 minute Luke alone   can peel 12/ 11 carrot .

In 1 minute Nora alone will peel (12 / 5 -  12/ 11  ) carrot

(12 / 5 -  12 / 11  )

= 2.4 - 1.1

= 1.3 carrot

In 1 minute Nora alone will peel 1.3 carrot

1.3 carrot in 1 minute

8 carrot in 8 / 1.3 minute

= 6.15 minutes.

In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.

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4 0
2 years ago
Is the difference of two positive rational number always positive explain
Dominik [7]
No . . . while the difference represents the absolute magnitude between two numbers . . . for example . . .

<em>The difference between 5 and 2 is . . . 3</em>
<em>The difference between 6.4 and 9.5 is . . . 3.1</em>

 . . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative

. . . so in short . . . the answer is . . . <u><em>NO</em></u>

5 0
3 years ago
HELP ALGEBRA IS KILLING ME IMAGE IS BELOW
djyliett [7]

Answer:

58240

Step-by-step explanation:

1425 ------ 45600

1820 ------   x

1425*x = 1425x

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6 0
2 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
3 years ago
A jug contains some orange juice. After pouring 240 milliliters of the orange juice into a cup, there are 875 milliliters of ora
zubka84 [21]

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

4 0
3 years ago
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