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3 years ago

If 2/5 divided by blank = 1/2 what is blank

Mathematics

1 answer:

cestrela7 [59]3 years ago

8 0

Hey There!

To find the blank you have to multiply $\frac{2}{5}$ * $\frac{1}{2}$ = $\frac{1}{5}$

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Find the equation of the line through (0,4) perpendicular to the line y = 3x

Rufina [12.5K]

Answer:

$y = - \frac{1}{3} x + 4$

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= $- \frac{1}{3}$

subst. m= $- \frac{1}{3}$ into the equation:

$y = - \frac{1}{3} x + c$

To find the value of c, substitute a coordinate.

When x=0, y=4,

$4 = - \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4$

Thus the equation of the line is $y = -\frac{1}{3} x + 4$ .

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3 years ago

Barb solved the following equation: 4(3x – 12) = 5(2x + 6)

katrin2010 [14]

Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

x = 39

Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

x = 39

No Prob :)

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3 years ago

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2x-7=117 what is the value of x

Tcecarenko [31]

$2x - 7 = 117$

Add 7 to both sides

$7 + 2x - 7 = 117 + 7$

At the left hand side 7 will cancel 7

At the right hand side 7 will add up

$2x = 124$

Divide through by 2

$x = \frac{124}{2}$

simplify the fraction

$x = 62$

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3 years ago

1. What is the percent as a decimal? 73% * O 0.73 7.3 0.0073 Ο Ο 730

kotegsom [21]

Answer:

0.73

Step-by-step explanation:

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3 years ago

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Take the following numbers and calculate the mean, median and mode. 75, 65, 70, 70, 55, 40, 55, 70, 65

emmainna [20.7K]

1. mean

To solve for mean, add all the numbers, and divide by the amount of numbers there is.

(75 + 65 + 70 + 70 + 55 + 40 + 55 + 70 + 65)/9 = 565/9 = 62 7/9 (a. 62.8)

2. Median

To solve for median, reorder all numbers from least to greatest, and the middle number is your median.

40, 55, 55, 65, 65, 70, 70 , 70, 75

Middle number is bolded

40, 55, 55, 65, 65, 70, 70, 70, 75

(b. 65)

3. Mode

To solve for mode, find out which number shows up the most.

(c. 70) shows up once more than the next number that has the most (55 & 65, which both have 2)

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3 years ago