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asambeis [7]
3 years ago
10

Use compatible numbers to estimate the quotient 5,514÷82

Mathematics
2 answers:
SpyIntel [72]3 years ago
6 0

Answer:

70.

Step-by-step explanation:

Given  : 5,514÷82

To find : use compatible numbers to estimate the quotient .

Solution : We have given 5,514÷82

Step 1: Find compatible numbers.

Compatible number : Compatible numbers are numbers that are close to the numbers they're replacing that divide evenly into each other.

Here, 5, 514

Estimate of  5, 514  is 5600.

Now estimate of 82 is 80.

Step 2: Divide the 5600 ÷ 80.

Step 3 : Cancel out zeroes

560 ÷ 8.

70.

So, the estimate of  5,514÷82 is 70.

Therefore, 70.

Sphinxa [80]3 years ago
5 0
The answer is 67 because 67 x 82 is 5,494 which us close to 5,514
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The amount paid by Heron for the video game  is $46.64.

Step-by-step explanation:

Here, the marked price of the video game  = $55

The discount percentage on the video game  = 20%

Calculating 20% of the $55, we get:

\frac{20}{100}  \times 55  = 11

So, the discount offered on the video game  = $11

Selling Price  = Marked Price  - Discount

                        =$55 - $11 = $44

Now,  the tax percentage on the video game  = 6%

Calculating 6% of the $44, we get:

\frac{6}{100}  \times 44  =2.64

So, the tax  on the video game  = $2.64

New Selling Price  = Selling Price  +  Tax

                        =$44 + $2.64  = $46.64

So, the amount paid by Heron for the video game  is $46.64.

3 0
3 years ago
Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint h
MAVERICK [17]

Area of the figure

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= (8 × 10) + (½ × 4 × 8)

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3 years ago
Write a linear function f with the values f(0)=−3 and f(7)=11<br><br> A function is f(x)=
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F(x)= 2x-3
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3 years ago
Determine n between 0 and 19 such that (2311)(3912) ≡ n mod 20.
sleet_krkn [62]

You can write 2311 and 3912 in the form 20q+r:

2311=115\cdot20+11

3912=125\cdot20+12

Then

2311\cdot3912=(115\cdot20+11)(125\cdot20+12)

2311\cdot3912=115\cdot125\cdot20^2+(11\cdot125+12\cdot115)\cdot20+11\cdot12

Taken modulo 20, the terms containing powers of 20 vanish and you're left with

2311\cdot3912\equiv11\cdot12\equiv132\pmod{20}

We further have

132=6\cdot20+12

so we end up with

2311\cdot3912\equiv12\pmod{20}

and so n=12.

###

If instead you're trying to find 2311^{3912}\pmod{20}, you can apply Euler's theorem. We can show that \mathrm{gcd}(2311,20)=1 using the Euclidean algorithm. Then since \varphi(20)=8, and 8 divides 3912, we have

2311^{3912}\equiv2311^{489\cdot8}\equiv(2311^{489})^8\equiv1\pmod{20}

To show 2311 and 20 are coprime:

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3 0
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What is the slope of the line on the graph below?<br><br> A. -1/2<br> B. 1/2<br> C. 1<br> D. 2
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Answer: choice D) the slope is 2

---------------------------------------------------------------------
---------------------------------------------------------------------

Work Shown:

Pick any two points on the line. I'm going to pick (0,1) and (1,3)

Label these two points as (x1,y1) and (x2,y2).
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The "2 units up" is the "rise"
The "1 unit to the right" is the "run"

Slope = rise/run = (change in y)/(change in x)

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