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erma4kov [3.2K]
3 years ago
9

A publisher is preparing the marketing plan for a new book. The actual cover of the book measures 6 inches by 8 inches, as shown

. The publisher wants to make a reduction using a dilation with a scale factor of ½. What are A', B', C', and D'? Hint: Multiply the coordinates by the scale factor to find the coordinates of the reduction.
Mathematics
1 answer:
Andrews [41]3 years ago
4 0
The sides that were once 8 would be 4 and the sides that were once 6 would be 3
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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
3 years ago
A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?
puteri [66]

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

0 = -3/7x + 18

-18 = -3/7x

x = 42

8 0
3 years ago
Read 2 more answers
The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actu
Katen [24]

Answer:

317

Step-by-step explanation:

Since the ratio is 1:232, multiply 232 by 16.4:

232*16.4=d

d=3804.8 in

Divide by 12 to find the feet

3804.8÷12=d

d=317.066

Round to the nearest foot

d=317

3 0
3 years ago
Geometry probability help , serious people only please !
Veronika [31]
1 is B
2 is A.fes.fdsf.ef.sf.esf.esfs.ef
4 0
3 years ago
The slope of the line below is -5. Which of the following is the point-slope
dalvyx [7]

Answer:

C.y+8=5(×-2)

Step-by-step explanation:

I think it is c because when i do inke pongki,it is at c, but i dont know how to plot the graph like this, what if u can teach me

6 0
3 years ago
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