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Rainbow [258]
2 years ago
11

Write an equation in the box to complete an

Mathematics
1 answer:
andrew-mc [135]2 years ago
5 0

The equations are illustrations of conditional statements or transitive property

The complete statement is: "If m + n = 2k and 2k = 2n + 8, then m + n = 2n + 8"

<h3>How to complete the transitive property</h3>

The equations are given as:

m + n = 2k and 2k = 2n + 8

Substitute 2n + 8 for 2k in m + n = 2k

So, we have:

m + n = 2n + 8

Hence, the complete statement is:

"If m + n = 2k and 2k = 2n + 8,

then m + n = 2n + 8

Read more about the transitive property at:

brainly.com/question/2475734

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What is the probability of randomly drawing an odd number between 24 and 33?
Studentka2010 [4]
Write out the numbers between 24 and 33:  {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}

How many numbers have we here?  10.

How many of these numbers are odd?  {25, 27, 29, 31, 33}

Strictly speaking, "between 24 and 33" does not include {24, 33}.

Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}

The chances of drawing an odd number between 24 and 33 are then 4 / 10.

If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33:  {25, 27, 29, 31}

and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
6 0
3 years ago
Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 110 miles per week to
Step2247 [10]

Answer:

The new car costs more

Old car = $5062.125

New car = $7161.357

Step-by-step explanation:

Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is $2.65 repair and Maintainance costs an average of $740 per year.

For the old car, to find the amount spent on the car we have

110/16 * 2.65 = $18.21875 / week

There are 52 weeks in a year. We have

10.21875*52 = $ 947.375

947.375 + 740

= $1687.375

= 1687.357 * 3

= $5062.125

The new car cost $6500 over a three year loan process.

The car gets 28 miles per gallon. It requires a maintenance f $10 per month. For the new car to find the amount, we have

110*28 * 2.65 *52 = $541.357

541.357 + 10(12) + 6500

= $7161.357

5 0
3 years ago
The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
Read 2 more answers
Sharon wants to buy a shirt that costs $50. the sales tax is 5%. how much is the sales tax? what is her total cost for the shirt
maria [59]
5% of $50 = 5/100 x 50 = $2.50
Total = 50 + 2.50 = $52.50

The saes tax is $2.50; her total cost of the shirt is $52.50
6 0
3 years ago
Read 2 more answers
Find DF AC=600 CB=480 AB=360
Mandarinka [93]
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6 0
3 years ago
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