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Molodets [167]
2 years ago
7

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.​

Mathematics
1 answer:
sdas [7]2 years ago
4 0

Answer:

8

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.  

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I have 4 times as much money as my brother has. our total is $55.how much does each of us have?
babymother [125]

Answer:

You have 44$, your brother has 11$.

Step-by-step explanation:

Let x be the amount of money your brother has.

Since you have four times the amount of money your brother has, we can call the amount of money you have 4x.

x+4x=55,\\5x=55,\\x=\boxed{\$11}

Thus, you have:

4(11)=\boxed{\$44}

5 0
2 years ago
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Find the work done by the force Bold Upper F equals xy Bold i plus (y minus x )Bold j over the straight line from (negative 1 co
aalyn [17]

Answer:

<h2>4/3 Joules </h2>

Step-by-step explanation:

Work is said to be done when force applied to an object causes the object to move through a distance.

Work done = Force * perpendicular distance.

\int\limits^a_b {F} \, ds

Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)

First we need to get the equation of the straight line given.

Given the slope intercept form y = mx+c

m is the slope

c is the intercept

m = y₂-y₁/x₂-x₁

m = 2-(-2)/1-(-1)

m = 4/2

m = 2

To get the slope we will substtutte any f the point and the slope into the formula y = mx+c

Using the point (1,2)

2 = 2+c

c = 0

y = 2x

Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;

F = x(2x) i + (2x - x) j

Using the coordinate (1, 2) as the value of s

W = \int\limits^a_b ({2x^2 i + x j}) \, (i+2j)\\W = \int\limits^a_b ({2x^{2}+2x }) \, dx \\W = [\frac{2x^{3} }{3} +x^{2} ]\left \ x_2=1} \atop {x_1=-1}} \right.\\W = (2(1)^3/3 + 1^2) -  (2(-1)^3/3 + (-1)^2)\\W =(2/3+1) - (-2/3+1)\\W = 2/3+2/3+1-1\\W = 4/3 Joules

8 0
3 years ago
Demarco substitutes a value for x in the equation 2x = 4.
MA_775_DIABLO [31]

Answer:

If both sides are equal

Step-by-step explanation:

If both sides are equal and are the same in both sides of the equation, than it is a solution.

For instance, the solution for 2x = 4, is x = 2 because 2(2) = 4 is 4 = 4.

6 0
3 years ago
Find the area of each regular polygon. Round to the nearest tenth.
miskamm [114]

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

A=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length of the triangle.

Putting a=14, we get

A=\dfrac{\sqrt{3}}{4}(14)^2

A=\dfrac{\sqrt{3}}{4}(196)

A=84.87049

A\approx 84.9

Therefore, the area of given regular polygon is 84.9 cm².

6 0
3 years ago
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Mrrafil [7]

Answer:

3.26

Step-by-step explanation:

3.26666666667

7 0
2 years ago
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