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marishachu [46]
2 years ago
10

James is buying a table.He finds the same table for sale in two different shops.

Mathematics
1 answer:
mina [271]2 years ago
6 0

"Table World" is quoting a better price

<u>Step-by-step explanation:</u>

The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT

that means 140 is the final price a customer needs to pay.

                       

While other shop"Tables R us" is quoting a price of 120 without VAT

so we need to add VAT in the price to find out the final price

                                           price+VAT on the price

                                          =120+120*(17.5/100)

                                          =120+120*0.175

                                          =120+21

               so final price      =141

so comparatively "Table World" is quoting a better price

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

3 0
1 year ago
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Sedbober [7]
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4 0
2 years ago
A recipe requires
Alla [95]

Answer:

22/3=8/3=2.66

if 12 servings =2.6 cup of flour

...18 servings=???????

18×2.6/12=3.9

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6 0
2 years ago
The elephants at the zoo eat 3 2/3 buckets of bananas each day. The zookeeper bought 7 1/3 buckets of bananas. How many days wil
uranmaximum [27]

Answer: 2 days

Step-by-step explanation:

The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:

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The zookeeper bought 7¹/₃ which is:

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To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:

= 22/3 ÷ 11/3

= 22/3 * 3/11

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7 0
2 years ago
Take 9.5 gallons 6 1/3 poured out how much water is left in the tank
elena55 [62]
We can first convert 9.5 into fraction :

9.5= 9 1/2

Then we can use deduction to find out the answer:

9 1/2 - 6 1/3

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=19×3/6 - 19×2/6

= 57/6 - 38/6

= 19/6

Therefore there are 19/6 or 3 1/6 gallons left in the tank.

Hope it helps!
4 0
3 years ago
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