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2 years ago

A bag of sugar contains 420g. A

Mathematics

1 answer:

faltersainse [42]2 years ago

6 0

Answer:

63g extra

Step-by-step explanation:

420 x 0.15 =63 g

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Suppose y varies directly with x and y = 72 when x = 6. What direct variation equation relates x and y? What is the value of y w

iogann1982 [59]

Y=12x
When x=10
y=120

x:3 5 7
y:6 10 14
y=2x

3 0

2 years ago

Find the coordinates of point z such that the ratio of fz to zd is 5;3

Vilka [71]

The point such that the coordinate is 5;3 is (14, 0)

<h3>Midpoint of coordinates using ratio</h3>

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2,}

Given the coordinate of G and D on the line as G(5, 0) and D(1,0)

Since there is no y-axis, hence;

x = 5(5)+1(3)/2

x = 25+3/2

x = 28/2

x =14

Hence the point such that the ratio is 5;3 is (14, 0)

Learn more on midpoint of a line here: brainly.com/question/5566419

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8 0

11 months ago

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14

denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

4 0

2 years ago

Which of the following is a pair<br> of equivalent radical expressions?

Harlamova29_29 [7]

B. The square root of 180 and 3 the square root of 20 are equal

6 0

2 years ago

Read 2 more answers

Find the coordinates of the point 7/10<br> of the way from A to B.

Artyom0805 [142]

Answer:

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$A(-4, -8) = (x_1, y_1)$

$B(12, 5) = (x_2, y_2)$

$m = 7, n = 10$

Substitute the values above into the stated formula to find x and y coordinates as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{7(12) + 10(-4)}{7 + 10}$

$x = \frac{84 - 40}{17}$

$x = \frac{44}{17}$

$x = 2.6$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{7(5) + 10(-8)}{7 + 10}$

$y = \frac{35 - 80}{17}$

$y = \frac{-45}{17}$

$y = -2.7$

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

5 0

2 years ago