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Ivanshal [37]
3 years ago
5

What is -536/4 as a mixed number?

Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

-134

We cannot make a "mixed number" because -536-4 can already be divided...

--

As I like to keep my answers short, I hope you have a wonderful day!

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A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
gulaghasi [49]

Answer:

40 ft²

Step-by-step explanation:

Let the length of the original rectangle be L and original Breadth be B

it is given that the original area  is 5/8 ft²

i.e.

Original Length x Original Breadth = Original Area, or,

LB = 5/8 ft² ------------------(1)

Given that the dilation factor is 8,

Hence,

New Length = 8L and New Breadth = 8B

THerefore,

New Area = 8L x 8B

= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)

= 64 (5/8)

= 40 ft²

4 0
3 years ago
a. Among a shipment of 5,000 tires, 1,000 are slightly blemished. If one purchases 10 of these tires, what is the probability th
hodyreva [135]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

3 or less than 3 tires among the 10 tires should be blemished.

There are some possibilities.

1000 tires are blemished, (5000 - 1000) = 4000 tires are not blemished.

From the 5000 tires, 10 tires can be chosen in ^{5000}C_{10} ways.

Possibility 1: <u>3 tires are blemished.</u>

Total 10 tires can be chosen with 3 blemished tires in ^{1000}C_3 \times {4000}C_7 ways.

Possibility 2:  <u>2 tires are blemished.</u>

Total 10 tires can be chosen with 2 blemished tires in ^{1000}C_2 \times ^{4000}C_8  ways.

Possibility 3: <u>1 tires are blemished.</u>

Total 10 tires can be chosen with 1 blemished tires in ^{1000}C_1 \times^{4000}C_9 ways.

Possibility 4:  <u>No tires are blemished.</u>

Total 10 tires can be chosen with no blemished tires in ^{1000}C_0 \times^{4000}C_{10} ways.

Hence, the required probability is \frac{^{1000}C_1 \times^{4000}C_9 + ^{1000}C_0 \times^{4000}C_{10} + ^{1000}C_2 \times^{4000}C_8 + ^{1000}C_3 \times^{4000}C_7}{^{5000}C_{10} }.

6 0
3 years ago
Given that A = (4,3,-4), B = (2,8,-5) and C = (-5,5,-8), find the vector from A to the midpoint of BC.
viktelen [127]
Mid-point of BC, M=(2+(-5),8+5,-5+(-8))/2=(-1.5, 6.5, -6.5)
Vector from A to M = M-A=<(-1.5,6.5,-6.5)-(4,3,-4)>=<-11/2,7/2,-5/2>


6 0
3 years ago
I need to know how its b quickly
goblinko [34]
It's B it even stars the correct answer for you
4 0
3 years ago
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.)
gulaghasi [49]

Answer:

B

Step-by-step explanation:

Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.

5 0
3 years ago
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