All categories

3 years ago

Round the number to the nearest thousand Add 27,498 + 4,657

Mathematics

2 answers:

erastovalidia [21]3 years ago

7 0

Answer:

32000

Step-by-step explanation:

If you add 27,498 + 4,657 you will get 32,155 if you count the positions by 5 = ones 5 = tens 1 = hundreds 2 = Thousands, now what you want to do is focus on the numbers below 2 thousand 3<u>2,155</u> now look over to the hundreds place you can see that there is a 1 there and if a number that is not higher than 5 it will not round up to the higher number let's say we had 75 cookies and we needed to round it to the nearest tens since we have a 5 it will be 80 cookies. So then you would round it to 32,000. You may be wondering why there are 0s and not the numbers? After you round the number you need to reset the numbers/value below it to 0.

Lyrx [107]3 years ago

3 0

Answer:

32000

Step-by-step explanation:

We need to add before we round

27,498 + 4,657

I like to line it up vertically

27,498

+ 4,657

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

32,155

We are rounding to the nearest thousand

We are rounding the 2 so we look at the 1

1<5 so we will leave the 2 alone

32155 rounds to 32000

You might be interested in

I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$

$324 = 144 + 256 - 384 \cos C$

$-384 \cos C = -76$

$\cos C = 0.2$

$C = \cos^{-1} 0.2$

$C = 78.6^\circ$

Now we use the law of sines to find angle A.

Law of Sines

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know c and C. We can solve for a.

$\dfrac{a}{\sin A} = \dfrac{c}{\sin C}$

$\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}$

Cross multiply.

$18 \sin A = 12 \sin 78.6^\circ$

$\sin A = \dfrac{12 \sin 78.6^\circ}{18}$

$\sin A = 0.6535$

$A = \sin^{-1} 0.6535$

$A = 40.8^\circ$

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

$a^2 = b^2 + c^2 - 2bc \cos A$

$b^2 = a^2 + c^2 - 2ac \cos B$

$c^2 = a^2 + b^2 - 2ab \cos C$

Find angle A:

$a^2 = b^2 + c^2 - 2bc \cos A$

$8^2 = 18^2 + 12^2 - 2(18)(12) \cos A$

$64 = 468 - 432 \cos A$

$\cos A = 0.9352$

$A = 20.7^\circ$

Find angle B:

$b^2 = a^2 + c^2 - 2ac \cos B$

$18^2 = 8^2 + 12^2 - 2(8)(12) \cos B$

$324 = 208 - 192 \cos A$

$\cos B = -0.6042$

$B = 127.2^\circ$

Find angle C:

$c^2 = a^2 + b^2 - 2ab \cos C$

$12^2 = 8^2 + 18^2 - 2(8)(18) \cos B$

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

8 0

3 years ago

The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000

Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means $x+y\leq 20000$

For concert to be held $x+y\geq 5000$

$lawn seats\leq reserved$ means $y\leq x$

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) = $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0

3 years ago

Help me of i die so pls help me

nekit [7.7K]

Answer:

100

1000

Step-by-step explanation:

I had a quiz on that the other day got 100%

7 0

3 years ago

Bob can mow 3 lawns in 5 hours. How long would it take it to mow 9 lawns?

olga2289 [7]

Answer:

15 hours

Step-by-step explanation:

9 lawns is 3 times as much as 3 lawns

it will take 3 times as long

3 * 5 hours = 15 hours

3 0

3 years ago

What is the mean set of numbers -3, -2,0,3,17

Elan Coil [88]

I think its 2

Just give me a like

6 0

3 years ago

Read 2 more answers