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dexar [7]
3 years ago
8

What estimate can you make for 1/2 and 4/6?

Mathematics
1 answer:
densk [106]3 years ago
5 0
1/2 would be rounded to 1 and 4/6 would be rounded to 1
You might be interested in
Dennis went cross country skiing for 6 hours on Saturday. He skied 20 miles uphill and then 20 miles downhill, returning to his
yulyashka [42]

Answer: Downhill:10mph   Uphill:5mph

Step-by-step explanation:  

We are looking for Dennis’s downhill speed.

Let  

r=

 Dennis’s downhill speed.

His uphill speed is  

5

miles per hour slower.

Let  

r−5=

Dennis’s uphill speed.

Enter the rates into the chart. The distance is the same in both directions,  

20

miles.

Since  

D=rt

, we solve for  

t

and get  

t=

D

r

.

We divide the distance by the rate in each row and place the expression in the time column.

Rate

×

Time

=

Distance

Downhill

r

20

r

20

Uphill

r−5

20

r−5

20

 

Write a word sentence about the time.

The total time traveled was  

6

hours.

Translate the sentence to get the equation.

20

r

+

20

r−5

=6

Solve.

20(r−5)+20(r)

40r−100

0

0

0

=

=

=

=

=

6(r)(r−5)

6

r

2

−30r

6

r

2

−70r+100

2(3

r

2

−35r+50)

2(3r−5)(r−10)

Use the Zero Product Property.

(r−10)=0

r=10

(3r−5)=0

r=

5

3

The solution  

5

3

is unreasonable because  

5

3

−5=−

10

3

and his uphill speed cannot be negative. So, Dennis's downhill speed is  

10

mph and his uphill speed is  

10−5=5

mph.

Check. Is  

10

mph a reasonable speed for biking downhill? Yes.

Downhill:

10 mph

5 mph⋅

20 miles

5 mph

=20 miles

Uphill:

10−5=5 mph

(10−5) mph⋅

20 miles

10−5 mph

=20 miles

The total time traveled was  

6

hours.

Dennis’ downhill speed was  

10

mph and his uphill speed was  

5

mph.

3 0
3 years ago
One half of a number is 8 less than the number itself
mamaluj [8]
The question is a little vague but I believe the answer would be 16. 16 divided in half is 8. And that is 8 less than 16. < Not the answer for this question.

I didn't understand the question until Maria answered, she is completely right! Sorry for the misunderstanding.
6 0
3 years ago
Read 2 more answers
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
Romashka-Z-Leto [24]
In step one, you are supposed to add 25 to both sides, because if you just subtract, it would be -5x-50=53
8 0
3 years ago
Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?
Flura [38]

Answer:

The value to the given expression is 8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3

To find the value of the given expression:

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}

( By using the property ((\frac{a}{b})^m=\frac{a^m}{b^m} )

=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}

( By using the property (ab)^m=a^mb^m )

=\frac{(10^{12})(5^6)}{(10^9)(5^9)}

( By using the property (a^m)^n=a^{mn} )

=(10^{12})(5^6)(10^{-9})(5^{-9})

( By using the property \frac{1}{a^m}=a^{-m} )

=(10^{12-9})(5^{6-9}) (By using the property a^m.b^n=a^{m+n} )

=(10^3)(5^{-3})

=\frac{10^3}{5^3} ( By using the property a^{-m}=\frac{1}{a^m} )

=\frac{1000}{125}

=8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Therefore the value to the given expression is 8

3 0
3 years ago
Read 2 more answers
there are 49 dogs signed up for the dog show. there are 36 more small dogs than large dogs. how many small dogs are signed up fo
pogonyaev
Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.
4 0
3 years ago
Read 2 more answers
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