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3 years ago

How many positive integers, including 1, are divisors of both 40 and 72?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Answer:

1,2,4,8

Step-by-step explanation:

1 x 40 = 40

1 x 72 = 72

2 x 20 = 40

2 x 36 = 72

4 x 10 = 40

4 x 18 = 72

8 x 5 = 40

8 x 9 = 72

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PLEASE HELP NTH TERM MATHS

fredd [130]

Answer:

odd numbers

Step-by-step explanation:

4 - 7 is 3, 7 - 12 is 5, 12 - 19 is 7, 19 to 28 is 9

So just keep counting

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2 years ago

Read 2 more answers

A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f

Grace [21]

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car 60 = x / t where t = time taken

giving x = 60t

for second car 90 = x / (t - 2)

giving x = 90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance = 60t = 360 miles answer

3 0

3 years ago

Write the slope-intercept form of the equation of the line that passes thrqugh (-4, -3) and is

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Equation of the line y = mx + c

The new line is perpendicular to 2x - 3y = -5

- 3y = - 5 - 2x

3y = 2x + 5

y = $\frac{2x}{3} + \frac{5}{3}$

Since the lines are perpendicular to each other : $m_{1} . m_{2} = -1$

where $m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\$ .

Slope of the given line

$m_{1} = \frac{2}{3}$

Slope of the new line

$\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}$

The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5

$(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}$

8 0

3 years ago

The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a

elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : $\mu=16.12\text{ OZ}$

Standard deviation: $\sigma=0.09\text{ OZ}$

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

Z-score for 16 oz: $z=\dfrac{16-16.12}{0.09}=-1.33$

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

$P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%$

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

8 0

3 years ago

Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.

Nataliya [291]

Answer:

1,3

Step-by-step explanation:

8 0

2 years ago