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pantera1 [17]
2 years ago
12

mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and

(4,200) to find the number of soda bottles the machine can make each minute ​
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
5 0

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

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Jennifer is leasing a car from a local auto retailer. The terms of the lease include a 9% interest rate for 36 months with a res
katrin [286]
1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:

 57%/100=0.57

 residual value=$17,500*0.57= $9,975

 2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:

 car value=$17,500-$9,975=$7,525

 3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:

 Interest rate=9%/100=0.09

 Money factor=0.09x2400
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 4. The interest is:

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 5. Therefore, the monthly payment is:

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6 0
2 years ago
Read 2 more answers
Please help. will mark brainliest. What is the value of x? Show all of your work.
AveGali [126]

Answer:

9 cm

Step-by-step explanation:

\sqrt{117} ^{2} - 6^{2}  = x^{2}

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\sqrt{81} = x

9 cm = x

6 0
3 years ago
Which of the following is equivalent to (a + b) (a/b)
cestrela7 [59]

Answer:

\frac{a^{2} +  ab }{b}

Step-by-step explanation:

(a + b) * (\frac{a}{b}) = \frac{a * (a+b)}{b} = \frac{a^{2} +  ab }{b}

7 0
3 years ago
There is a 4 digit number that when multiplied by 4 is the reverse.
mote1985 [20]

Answer:

The answer is 2178, if you multiply it by 4, you would get 8717

Step-by-step explanation:

HERE ARE THE STEPS IF YOU NEED THEM!!

1. Lets say the number is written as ABCD (1000a+100b+10c+d).

2.Multiplying it by 4, gives you DCBA (1000d+100c+10b+a)

3. By divisibility of 4, BA is a two-digit number divisible by 4.

4.Now, the largest possible value of ABCD is 2499, because anything more will result in a five digit number when multiplied by 4.

5. Out of the two possibilites 1 and 2 for A, [3] follows that A is even, so 2.

6. From [5], D is either 8 or 9. However, since D times 4 would end in 2, D is 8.

7. Using [2], 4000a+400b+40c+4d = 1000d+100c+10b+a, which would simplify to 2c-13b = 1 after substituting A = 2 and D = 8.

8.The only possible value of (b,c) where they would both be single digit integers is (1,7). Also to note from [3], B is odd. And from [4], B is either 1 or 3.

6 0
3 years ago
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Please help meeee (1/2) to the 4th power
Karolina [17]

Answer:

\frac{1}{16}

Step-by-step explanation:

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\frac{1}{2}*\frac{1}{2} =\frac{1}{4}

\frac{1}{4} *\frac{1}{2} =\frac{1}{8}

\frac{1}{8}*\frac{1}{2}=\frac{1}{16}

4 0
3 years ago
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