MATHEMATICS MIDDLE SCHOOL

(t+8)(-2) = 12 what does t equal

Answers

Answer 1

Answer: T = -14

-2(8 + T) = 12 (8 * -2 + T * -2) = 12 (-16 + -2T) = 12

Answer 2

Answer:

Answer:

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Step-by-step explanation:

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X^-2+4x^-1+3=0 solve by making appropriate substitution

Answers

ANSWER

$x = - 1 \: or \: x = - (1)/( 3)$

EXPLANATION

The given equation is:

${x}^( - 2) + 4 {x}^( - 1) + 3 = 0$

Recall that:

${a}^( - m) = \frac{1}{ {a}^(m) }$

$\frac{1}{ {x}^(2) } + (4)/(x) + 3 = 0$

${( (1)/(x) )}^(2) + 4( (1)/(x) ) + 3 = 0$

Let

$u = (1)/(x)$

Our equation then becomes:

${u}^(2) + 4u + 3 = 0$

The factors of 3 that add up to 4 are:

${u}^(2) + 3u + u + 3$

$u(u + 3) + 1(u + 3) = 0$

$(u + 1)(u + 3) = 0$

$u + 1 = 0 \: or \: u + 3 = 0$

$u = - 1 \: or \: u = - 3$

This implies that:

$(1)/(x) = - 1 \: or \: (1)/(x) = - 3$

$x = - 1 \: or \: x = - (1)/( 3)$

Mason bought 64 ounces of modeling clay. How many pounds of clay did he buy?

Answers

it would be 4 pounds of modeling clay.

Mason bought 4 pounds of clay

A company ship 48 boxes of canned dog food each box contains 24 cans how many cans of dog food did the company ship in all

Answers

1,152 is the correct answer. You would get this by multiplying 48 boxes by 24 cans in each box.

You multiply 48x24 which would be 1,152

If volume of a cube is 90 cubic inches what might the measurements of the box be

Answers

If the box is truly a cube, then all 3 of its dimensions are the same . . . the cube root of 90. There's no "might" about it.

I don't get this question it says: 54 fl oz = _____ c

Answers

Well for every fluid ounce, there is .125 of a cup.

54*.125=6.75

A music website tracked the number of new users per day over 1 week. The number of new users for each day of the 7 days was 38, 43, 45, 50, 51, 56, 67.a. What is the MAD of the number of new users per day? Round to the nearest tenth.

b. What does the value of the MAD represent? Explain

Answers

Part a)

MAD = median of absolute deviations

MAD = median of the set formed by : |each value - Median|

Then, first you have to find the median of the original set

The original set is (38, 43, 45, 50, 51, 56, 67)

The median is the value of the middle (when the set is sorte). This is 50.

Now calculate the absolute deviation of each data from the median of the data.

1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17

Now arrange the asolute deviations in order

(0, 1, 5, 6, 7, 12, 17)

The median is the value of the middle: 6.

Then the MAD is 6.

Part b) MAD represents the median of the of the absolute deviations from the median of the data.

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