All categories

2 years ago

Estimate 72.91 + 67.526 by first rounding each number to the nearest whole number

Mathematics

2 answers:

Vikentia [17]2 years ago

8 0

Answer:

141

Step-by-step explanation:

First, you would round 72.91 to 73 because the number to the right of 7 is greater than or equal to 5, so you would round up. Same goes for 67.526. round both up to 73 and 68 then add. You would get an answer of 141 :)

ycow [4]2 years ago

6 0

Answer: 141

Step-by-step explanation: By rounding up to the nearest whole number, that is taking 72.91 -> 73. The reason it is this way is that when a decimal is past 0.5, you round up. If a decmial is below 0.5, then you round down.

In this specific situation, we get the numbers 72.91 and 67.526.

As I explained, the numbers would round up because both numbers decimal values are above 0.5.

So after 72.91 is 73, and after 67.526 is 68.

68 + 73 =

141

hopefully I helped!

You might be interested in

Assuming you have a TCF Free Student Checking Account, how many maximum overdraft fees can you incur in one day?

Mkey [24]

Answer:

Overdraft Fee:

We will limit to 7 the combined number of these Overdraft Fees and/or Returned Item Fees charged on any one day, up to a total of $259. If your account remains overdrawn for 4 consecutive business days, on the 5th business day we will charge a Sustained Overdraft Fee of $30

Step-by-step explanation:

3 0

2 years ago

Answer any of the following:

Volgvan

1. Solve the system by substitution -2x+y=-11, 3x-4y=11.
-2x+y=-11
y = 2x-11

3x-4y=11
3x-4(2x-11)=11
3x -8x + 44 = 11
-5x = -33
x =33/5
y = 11/5

2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10.
(-2x+6y=-12)5
-10x + 30y = -60

(5x-5y=10)2
10x - 10y = 20

Adding the two equations,
-10x + 30y = -60
10x - 10y = 20

20y = -40
y = -2
x = 0

3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9.
-3x-2y=-12
y = -3/2 x + 6

9x+6y=-9
y = -3/2 x - 3/2

Since the slopes are equal then they are parallel lines so they never meet at one point.

4 0

2 years ago

What is the solution of 3x + y = 9 and 3x − 5y = 15?

allochka39001 [22]

The answer is (10/3, -1)

7 0

2 years ago

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

$\therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units$

6 0

2 years ago

Please help me i don’t understand this question at all.

Maru [420]

9514 1404 393

Answer:

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

Your calculator can check this for you.

√12/(√3 +3) ≈ 3.4641/(1.7321 +3)

= 3.4641/4.7321 ≈ 0.7321 = -1 +√3

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

$\displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}$

_____

Additional comment

We "rationalize the denominator" in this way to take advantage of the relation ...

(a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

3 0

2 years ago