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Mrac [35]
3 years ago
15

Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the origin

al photo? 3 × 8 6 × 8 12 × 16 18 × 24
Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

6 × 8

Step-by-step explanation:

Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller.  Smaller by a factor of 4.

So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:

(24/4) x (32/4) = 6 x 8

It couldn't be the first answer choice (3x8) because  that doesn't maintain the ratio of the enlarge picture.  The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.

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A baker bought 7.5 kilograms of flour for $19.20. how much did each kilogram of flour cost?
Airida [17]
19.20 divided by 7.5

= 2.56

2.56 is your answer.
5 0
3 years ago
(x-4)/(2x+1)-3 can you help me with this question
lilavasa [31]

Answer:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

Step-by-step explanation:

Given

\frac{(x - 4)}{(2x + 1)} - 3

Required

Solve

Express 3 as a fraction

\frac{(x - 4)}{(2x + 1)} - \frac{3}{1}

Take LCM

\frac{x - 4 - 3(2x + 1)}{3x + 1}

\frac{x - 4 - 6x - 3}{3x + 1}

Collect Like Terms

\frac{x - 6x- 4  - 3}{3x + 1}

Simplify like terms

\frac{-7x- 7}{3x + 1}

Hence:

\frac{(x - 4)}{(2x + 1)} - 3 = \frac{-7x- 7}{3x + 1}

4 0
3 years ago
What is the measure of angle B in degrees
Hunter-Best [27]

Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.

This means that by the exterior angle theorem, m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}

8 0
2 years ago
Write an equation for each context. Draw a model first if necessary, and make sure you define your variable and what it represen
Bad White [126]

Answer:

(a)$2248.8

(b) 14, 28, 16 and 7 candies

(c) $79

Step-by-step explanation:

(a) the model can be represented by the nth term of an arithmetic progression

L = a + (n-1)d

L= the amount in his account after 6 month; $12484

a= the amount in his account six month before; $1240

n = 6, being the sixth month of his deposit

d = the amount deposited monthly

12484 = 1240 + 5d:

12484-1240 = 5d

5d= 11244

d = 2248.8

(b) let the 1st box contain = x

2nd = 2x; 3rd = x + 2, 4th = 1/4(2x)

Hence; x + 2x + x +2 + 1/4(2x) = 65

4x + x/2 = 65-2

9x/2 = 63 ; 9x = 126. ; x = 14

(c) Each player gets a racket (r) and a can (c) of balls

The 5 players get in all 5 racket + 5 cans since Simon is a member

Therefore, 5r + 5c = 415

But each can cost $4,

5r + 5* 4 = 415; 6r = 415-20

5r = 395 ; r = 395/5

r = $ 79

The racket cost $79 each.

8 0
3 years ago
The coordinates of points A, B, and C are (5, 4), (–2, 1), and (4, –4), respectively. Which point, B or C, is closer to point A?
Elena-2011 [213]

Answer:

The distance between two points (x1,y1) and (x2,y2) = √((x1-x2)2+(y1-y2)2) Distance between A and B = √((5--2)2+(4-1)2) = √(72+32) = √(49+9) = √58 = 7.62 Distance between A and C = √(12+82) = √65 = 8.06 Point B is closer to A. Another method to solve this problem is to draw the points on a graph paper and measure distance with a ruler.

6 0
2 years ago
Read 2 more answers
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