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3 years ago

Please help me!!!!!!!

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer:

1 (12) is the correct answer

Step-by-step explanation:

The interquartile range is the range governed by the entire box area in the box and whisker plot. This box goes from 68 to 80, which is 12.

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Understanding Mathematics, Resource 2, Chapter Nine.

VikaD [51]

Answer:

6. 6 is the number I thought of

8. -15 is the number I thought of

Step-by-step explanation:

6. Let x represent the number you thought of.

x/2 . . . halve it

x/2 -5 . . . take away 5 (from the previous result)

x/2 -5 +3x . . . then add on 3 times the number I thought of

= . . . I end up with ...

4 + . . . four more than ...

4 + 2x . . . ... twice the number I first thought of.

So, the equation is ...

x/2 -5 +3x = 4 +2x

Subtracting 2x we have

x/2 -5 +3x -2x = 4

Adding 5 and collecting terms, we get

(3/2)x = 9

Multiplying by the inverse of the coefficient of x, we get ...

x = (2/3)(9)

x = 6

The number I first thought of was 6.

<em>Check</em>

After I halve it, take away 5 and add back 3 times 6, I have ...

3 -5 +18 = 16

After I add 4 to twice the number, I have ...

4 +2·6 = 16

So, the first set of manipulations gives the same result as the second. 6 is the answer.

_____

8. Let x represent the number I thought of.

x +4 . . . add 4

5(x +4) . . . multiply the answer by 5

= . . . . I could get the same final answer by ...

4x . . . multiplying my number by 4

4x +5 . . . then adding 5

So, the equation is ...

5(x +4) = 4x +5

5x +20 = 4x +5 . . . . eliminate parentheses

x + 20 = 5 . . . . . . . . subtract 4x

x = -15 . . . . . . . . . . . subtract 20

The number I thought of was -15.

<em>Check</em>

Add 4 and multiply the result by 5: 5(-15+4) = 5(-11) = -55.

Multiply the result by 4 and add 5: 4(-15)+5 = -60+5 = -55, the same final answer.

The answer of -15 checks with the problem statement.

6 0

4 years ago

Find value of X? Round answer to nearest tenth.

ohaa [14]

Answer: x = 4.6

Step-by-step explanation:

From the diagram opposite is 4

Adjacent is x

@ = 41 degrees.

Solve from SOH CAH TOA

From here the one that has opposite and adjacent is TOA which is;

[email protected] = opposite/ adjacent

[email protected] = 4/x

x = 4/[email protected]

x = 4/tan 41

x = 4/0.869

x = 4.6

6 0

3 years ago

Can anyone help me please? Also explain if you can. Thank you :)

djverab [1.8K]

The answer is 6/9 or 2/3 because 2X2X2=8 and 9X9X9=729......it equals 8/729

3 0

3 years ago

the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li

Burka [1]

Answer: The equation for line b is $y = -\frac{3}{4}x + 5$

The equation for line t is $y= \frac{4}{3} x+5$

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

3 0

3 years ago

What is the ratio or rate of 96 words typed in 3 min ; 160 words typed in 5 min

Vanyuwa [196]

32 because 96 divded by 3 equals 32 and 160 divided by 5 equals 32

4 0

4 years ago

Please help me!!!!!!!​

Please help me!!!!!!!