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CaHeK987 [17]
2 years ago
9

2(8r+5)-3=4(4r-1)+11 is it an only solution or a no solution or infinite solution

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's begin by carrying out the indicated multiplications, which must be done before any addition or subtraction:

2(8r+5)-3=4(4r-1)+11  becomes  16r + 10 - 3 = 16r - 4 + 11.

Subtracting 16r from both sides, we get 10 - 3 = - 4 + 11, or 7 = 7

This is always true, so we can conclude that this equation has infinitely many solutions.

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Brenda has $30. She gets $5 every time she takes out the trash. Which inequality can be used to find x, the number of times Bren
kobusy [5.1K]

Brenda has to take out the trash more than 4 times to have more than $50.

Step-by-step explanation:

Given,

Amount Brenda already have = $30

Amount she gets each time for throwing trash = $5

Amount she wants to have = More than $50

Let,

x be the number of times she throws trash.

Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have

5*x+30>50\\5x>50-30\\5x>20

Dividing both sides by 5

\frac{5x}{5}>\frac{20}{5}\\x>4

Brenda has to take out the trash more than 4 times to have more than $50.

Keywords: variable, inequality

Learn more about variables at:

  • brainly.com/question/9969022
  • brainly.com/question/9801816

#LearnwithBrainly

4 0
3 years ago
Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
MrRa [10]

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

5 0
3 years ago
On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 ti
Illusion [34]

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

6 0
3 years ago
A Family travels at a constant rate and drove 420 miles in 7 hours.If they drive at the same speed ,How many miles will they dri
Mazyrski [523]

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

5 0
3 years ago
Pythagorean theorem If l = 12 cm and m = 35 cm, what is the length of n?
poizon [28]
If n is the hypotenuse, then it is 37. L can't be the hypotenuse and if m is the hypotenuse then n is 32.878
4 0
3 years ago
Read 2 more answers
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