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Kamila [148]
2 years ago
6

The rational number lies between −67/7 and−78/8

Mathematics
1 answer:
zheka24 [161]2 years ago
7 0

9514 1404 393

Answer:

   -135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

  -67/7 = -9 4/7 = -9.571428... (repeating)

  -78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

 -67/7 = -536/56

 -78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

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If there bill was 58.65 and they gave a sever a 15% tip, how much did they pay altogether
masha68 [24]

Answer:

<u>$67.43 altogether</u>

Step-by-step explanation:

A 15% percent tip means 15% OF the bill.

15% of 58.65

0.15*58.65=8.7975

You can't really pay $8.7975, so you would round to the nearest one hundredth which is $8.78.

Now you add the $8.78 to $58.65 which will give you $67.43.

I hope that helps!


7 0
3 years ago
What is the area of this figure?
umka21 [38]
137.5 I took the test and got 100% 


3 0
3 years ago
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Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72dollar sign, 0, point, 72 in sales tax. The sales tax rate
Ipatiy [6.2K]

Answer: 0.06p = 0.72

p = 12

Step-by-step explanation:

The original price was $12.

7 0
3 years ago
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There are 96 dogs at the dog park.
BARSIC [14]

Answer:

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Step-by-step explanation:

1/8 brown dogs = 12 dogs

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96 - 92 = 4

Therefore, 4 dogs are mixed colors.

Hope this helps, sorry if this is wrong! Have a great day! <)

6 0
3 years ago
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