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gayaneshka [121]
2 years ago
14

Paloma evaluated the expression 1 3/4 − 5/8. What is a way she can check her work?

Mathematics
1 answer:
Oxana [17]2 years ago
4 0

9514 1404 393

Answer:

  add the subtrahend to the difference

Step-by-step explanation:

The usual way to check a subtraction problem is to add the subtrahend to the difference to see if you get the minuend as a result.

Paloma can add 5/8 to her result to see if she gets 1 3/4.

__

She can also perform the subtraction using decimal fractions to see if she gets the same result.

  1.750 -0.625 = 1.125

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W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo
weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

GivenW= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

P = 2^n - 1

Where

n = number\ of\ elements

In this case;

n = 10

So:

P = 2^n - 1

P = 2^{10} - 1

P = 1024 - 1

P = 1023

Hence;

<em>Proper Subsets = 1023</em>

7 0
3 years ago
Round 963 to 1 significant figure.
dedylja [7]
963 would be rounded to become 1000.
This is because 9 is the first non-zero number and so since there are only going to be 1 significant figures, the 9 would round up or down. There is a 6 after the 9, so it rounds up to 10, making it 1000.
7 0
3 years ago
Plzzz help me im in a crisis<br> lol jk but plz
makkiz [27]

Answer:

Lateral : 21

surface : 39

Step-by-step explanation:

I think that this is correct. :)

6 0
2 years ago
Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?
Margarita [4]

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=\sqrt{(4-0)^2+(2-0)^2}=\sqrt20=2\sqrt5

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).





3 0
3 years ago
I NEED TO KNOW THIS Q
Nikolay [14]

See picture for explanation.

6 0
3 years ago
Read 2 more answers
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