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Over [174]
3 years ago
7

Beth bought x pounds of grapes. Mary bought 4/9 less than that

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

\frac{5x}{9}

Step-by-step explanation:

Mary bought: x - \frac{4}{9}x = \frac{5x}{9}

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The area of a rectangular rug is given by the trinomial r^2-4r-21. What are the possible dimensions of the rug?
maksim [4K]

Answer:

There are two possible values for r (area):  r =-7 or r=3

Step-by-step explanation:

Given the rectangular rug area is:

r^{2} -4r -21  

We have to convert the above equation into factored form.

So two numbers whose product is -21r² and sum is -4r

<=> r^{2} -4r -21  

= r^{2} -7r + 3r -21

= r (r -7) + 3(r -7)

= (r-7)(r+3)

We set  r^{2} -4r -21   = 0

<=> (r-7)(r+3) = 0

<=> (r-7) = 0 or (r+3)  = 0

<=> r =-7 or r=3

So, there are two possible values for r (area):  r =-7 or r=3

5 0
4 years ago
The sum of 4 consecutive numbers is equal to the sum of the next 3 consecutive numbers. Find the largest number.​
timurjin [86]

Answer:

The answer is: The largest number is 15.

Step-by-step explanation:

Let n = the number

n + (n + 1) + (n + 2) + (n + 3) = (n + 4) + (n + 5) + (n + 6)

4n + 6 = 3n + 15

n = 9

Proof:

9 + 10 + 11 + 12 = 19 + 23 = 42

13 + 14 + 15 = 27 + 15 = 42

Hope this helps! Have an Awesome Day!!  :-)

6 0
4 years ago
Read 2 more answers
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Julia= 24 mph, Katie=32 mph.

Julia rides 8 mph faster than Katie
8 0
3 years ago
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Answer:

(-3,5)

Step-by-step explanation:

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wow.
3 0
3 years ago
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