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soldi70 [24.7K]
3 years ago
9

Can someone explain? And answer?

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

$25.00

Step-by-step explanation:

You already know that $85 is an additional fee added to the monthly fees.

So, you first have to subtract 85 from $685 to get the total amount of monthly fees paid over 2 years.

685-85= 600

So, you can conclude that $600 is the total amount of monthly fees paid.

Now, you want to divide 600 by (the number of months in 2 years) to get the amount of monthly fees.

Since there is 24 months in 2 years you do:

600/ 24 which equals 25.

In conclusion, you can find that the monthly fee is $25.00.

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Michelle is painting wooden blocks. he has 11/12 of a quart of paint each block needs 1/6 of a quart to paint. How many blocks c
lara [203]

Answer:5

Step-by-step explanation:

Since Michelle (he ? ) has 11/12 quarts of paint, and need 1/6 per quart to paint, we do 11/12 / 1/6 = 11/2, or 5.5. We cannot paint .5 of a block, so Michelle can only paint 5 quarts.

7 0
3 years ago
The answer to the question “On average, how many pages are in a novel?” would be measured by which scale?
Juli2301 [7.4K]
In the days of the typewriter, a double-spaced page with 1-inch margins would hold an average of 250 words. So you could assume that since 4 pages<span> = </span>1000<span> words</span>
8 0
3 years ago
Which solid has a greater volume?
Lady_Fox [76]

Answer:

C

Step-by-step explanation:

The volume of a cone is given by  V=\frac{1}{3}\pi r^2h

The volume of a cylinder is given by  V=\pi r^2 h

<em>Where h is the height and r is the radius</em>

The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

\pi r^2 h\\\pi (1)^2 (50)\\=157.08

We can see that they are equal. So answer choice C is right.

5 0
3 years ago
Consider the linear expression 3x -15
Jobisdone [24]

Answer:

In linear expresiion 3 is the coefficient

X will be the variable and -15 will be the constant term.

5 0
3 years ago
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