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3 years ago

Write a word problem that you can solve using multiples to estimate the quotient. Include a solution.

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

Answer:

Let us consider,

The problem: 'Find two numbers between which the quotient of 50 ÷ 7 lies'.

Solution: We will solve this in two steps.

Step 1: Form a table of multiples of 7.

Counting number Multiple of 7

1 7

2 14

3 21

4 28

5 35

6 42

7 49

8 56

Step 2: Use the table to find the multiples closest to 50.

Since, 49 = 7 × 7 and 56 = 7 × 8

Thus, 50 lies between 49 and 56.

Then, the quotient is either 7 or 8.

As 50 is closest to 49.

Hence, the quotient of 50 ÷ 7 is 7.

Lilit [14]3 years ago

3 0

Answer:

Word problem based that can be solved using multiples to estimate the quotient:

Melissa made 326 cupcakes. She packed four cupcakes into each box. How many boxes of cupcakes did she pack? How many cupcakes were left unpacked?

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Plz help with this math question.Thx:) Don't forget to show your work.

sergij07 [2.7K]

You can use any data set in this table (except the row with x) to get the ratio.

so 20/196 is the ratio which equals about .102041

then multiply that decimal by the weight in the x row to see what x is

so 1078(.102041) = 110.000198 just round that to 110. you can also verify that ratio by checking other data points. for instance

490(.102041) = 50.00009 or 50

so you know x is 50 so answer is either b or d

then you know the ratio .102041, so does (10/98) = .102041

or does (98/10) = .102041

if you do the division you will see that (10/98) = .102041

so the answer is D

5 0

2 years ago

How long will it take bernando to make the trip if he drives at 80 miles per hour?

brilliants [131]

How long is the trip?

7 0

2 years ago

jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago

PLEASE HELP !!!!!!!!Solve the system of equations using the linear combination method.

vfiekz [6]

Answer:

The solution would be (5, -2)

Step-by-step explanation:

To use this method, start by multiplying the second equation by -1. Then add the two equations together.

9x + 5y = 35

-2x - 5y = 0

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

7x = 35

x = 5

Now that we have the value of x, use it to solve either equation for y.

2x + 5y = 0

2(5) + 5y = 0

10 + 5y = 0

5y = -10

y = -2

6 0

3 years ago

Which function below is decaying the fastest?

a_sh-v [17]

Answer:

Function: y = 1/6^x

Step-by-step explanation:

The function y = 1/6^x would be decaying faster because the function y = 2/3^x equals 4/6^x and that is 4 times greater than 1/6. That means that more of the value will be retained in the function y = 2/3^x or y = 4/6^x.

7 0

3 years ago