A graphic designer created a logo on 8 1/2 by 11 inch paper. In order to place on a business card the logo needs to be 1 7/10 inches by 2 1/5. What is the scale factor of the dilation?

Answers

Answer 1

Answer: k - scale factor
a = 8 1/2
b = 11
a₁ = 1 7/10
b₁ = 2 1/5

$k = (a_1)/(a)=\frac{b_1}b\n\n\n(a_1)/(a)=(1 (7)/(10))/(8\frac12)=1 (7)/(10):8\frac12=(17)/(10):\frac{17}2=(17)/(10)\cdot\frac2{17}=\frac15\cdot\frac11=\frac15\n\n\n(b_1)/(b)=(2 (1)/(5))/(11)=2\frac15:11=(11)/(5)\cdot\frac1{11}=\frac15\cdot\frac11=\frac15 \n\n\n(a_1)/(a)=\frac{b_1}b=\frac15\ \ \ \implies\ \ \ k=\frac15$

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3 over 4 n minus 18 equals 1 over 4 n minus 4

Solve

Answers

n=28. Step 1: Subtract 1/4n from both sides.34n−18−14n=14n−4−14n12n−18=−4Step 2: Add 18 to both sides.12n−18+18=−4+1812n=14Step 3: Multiply both sides by 2.2*(12n)=(2)*(14)

3/4n - 18 = 1/4n - 4
3/4n = 1/4n - 4 + 18
3/4n - 1/4n = -4 + 18
2/4n = 14
1/2n = 14
n = 14 × 2
n = 28

What is the best rate at which infants grow during the first four years after birth

Answers

Three inches per year.

Write an expression using the distributive property that can be used to find the quotient 56 divided by 4

Answers

50/4 + 6/4 that is how Dp can be used to solve this

Jason ordered 239,021 pounds of flour to be used in 25 bakeries. The company delivering the flour showed up with 451,202 pounds. How many extra pounds of flour were delivered

Answers

Answer: 212181 pounds of flour were extra delivered.

Step-by-step explanation:

Since we have given that

Quantity of pounds of flour to be used in 25 bakeries ordered by Jason = 239021

Quantity of pounds of flour showed up =$451202

Extra pounds of flour were delivered is given by

$451,202-239,021=212,181\ pounds$

Hence, 212181 pounds of flour were extra delivered.

There were 212,181 extra pounds of flour delivered.

How to solve for the extra pounds of flour

To find out how many extra pounds of flour were delivered, you can subtract the quantity Jason ordered from the quantity delivered:

Extra pounds of flour = Quantity delivered - Quantity ordered

Extra pounds of flour = 451,202 pounds - 239,021 pounds

Extra pounds of flour = 212,181 pounds

So, there were 212,181 extra pounds of flour delivered.

Read more on arithmetic here brainly.com/question/6561461

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Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?