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2 years ago

3/5 of 7 pls help shshshshs

Mathematics

1 answer:

vaieri [72.5K]2 years ago

4 0

Answer:

11.6666666667

Step-by-step explanation:

First you multiply 7 by 5

7x5=35

Then you divide 35 by 3

35/3 = 11.6666666667

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Please I really need help

ohaa [14]

9514 1404 393

Answer:

scale factor: 3
rule: (x, y) ⇒ (3x +15, 3y -24)
center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

B-C = (-2, 8) -(-4, 9) = (2, -1)

Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

k(B -O) = (Q -O)

Solving for Q, we get ...

Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

(x, y) ⇒ k(x, y) +(15, -24)

(x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

The center of dilation can be found from ...

(Q -kB)/(1 -k) = O

O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

Additional comments

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0

2 years ago

A store is having 20% off sale. If the reduce price is 90.40, what is the original price

ipn [44]

In order to find the original price, we need to divide by 4. This is because the price was reduced by 20%, it is 4/5 of the original price.

By dividing by 4, we can see that 90.40 is 22.60.

To find the original price, we add 22.60 (1/5 of the original price), to 90.40 (4/5 the original price) to find that $113 is the original price.

6 0

2 years ago

PLEASE PLEASE HELP I WILL MARK BRAINLIEST!!!! HELPPP

Mars2501 [29]

I will go with B.

How the data spread out is measured by standard deviation. IQR is measure of variability.

7 0

2 years ago

If an x-coordinate repeats, can a relation still be a function? I need help right now

Gre4nikov [31]

Answer:

Step-by-step explanation:

if you see any duplicates or repetitions in the x-values, the relation is not a function.

8 0

2 years ago

Please answer, thank you and have a nice day

taurus [48]

Answer:

The inequality represented by the graph is y > $\frac{1}{3}$ x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line

b is the y-intercept

The rule of the slope is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

To find the inequality represented by the graph, find at first the equation of the line

∵ The line passes through points (0, -3) and (3, -2)

∴ x1 = 0 and y1 = -3

∴ x2 = 3 and y2 = -2

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{-2--3}{3-0}$ = $\frac{-2+3}{3}$ = $\frac{1}{3}$

∴ m = $\frac{1}{3}$

→ Substitute it in the form of the equation above

∴ y = $\frac{1}{3}$ x + b

∵ b is the y-intercept ⇒ value y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation

∴ y = $\frac{1}{3}$ x + -3

∴ y = $\frac{1}{3}$ x - 3

→ Let us change it to inequality

∵ The line is dashed

∵ The shading area is above the line

∴ The sign of inequality should be >

∴ y > $\frac{1}{3}$ x - 3

∴ The inequality represented by the graph is y > $\frac{1}{3}$ x - 3

8 0

2 years ago