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goldenfox [79]
3 years ago
12

Fill in the gaps in the arithmetic sequence -3, _ ,_ , _, _, _ 12

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

  -0.5, 2, 4.5, 7, 9.5

Step-by-step explanation:

The given terms are 6 apart, so the common difference is 1/6 of their difference:

  d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5

Add 2.5 to each term to get the next one. Then the sequence is ...

  -3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12

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What is the surface area of a rectangular prism that is 12cm by 3cm by 5cm?
Cerrena [4.2K]
A = 2lw + 2lh + 2hw
A = 2(12)(3) + 2(12)(5) + 2(5)(3)
A = 72 + 120 + 30
A = 222 cm squared

Hope this helps!! :)
3 0
3 years ago
2. Which expression is equivalent to 3x(-4x² + 5x - 8) - 6(x² - 5x + 7)?
adoni [48]
It is answer choice B. Using the distributive property, -12x^3+15x^2-24x-6x^2+30x-42. Then combine like terms.
5 0
3 years ago
Round of 38828 to the nearest 10​
RUDIKE [14]

Step-by-step explanation:

We're going to be evaluating if we can round 2. (Values in the 10's place)


The value in the 'ones' place has to be greater than or equal to 5
in order to round up 2.

Since 8 is greater than 5, we can round up 2.

<u>Rounded answer:</u>

38830

5 0
2 years ago
What is the constant of variation for y=1/6x?
timurjin [86]
The equation for Direct Variation is y =kx, where k is the constant, so the constant being multiplied by x is (1/6). This means that k = (1/6).
6 0
3 years ago
The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length
Fudgin [204]

Let's call the width of our rectangle w and the length l. We can say l = w + 4, since the length is equal to 4 cm greater than the width.


Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or P = 2l + 2w. To solve this problem, we can substitute in the information we know, as shown below:

150 = 2(w + 4) + 2w

150 = 4w + 8

142 = 4w

w = \frac{71}{2}


Now, we can substitute in the width we found into the formula for length, which is l = w + 4:

l = \frac{71}{2} + 4

l = \frac{79}{2}


The width of our rectangle is \boxed{\frac{71}{2} \,\, \textrm{cm}} cm and the length of our rectangle is \boxed{\frac{79}{2} \,\, \textrm{cm}}

8 0
3 years ago
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