A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

Answers

Answer 1

Answer: Since there are 36 inches in a yard you multiply 12 and 36. That gives you 432 characters per yard.

Answer 2

Answer:

432 characters

Step-by-step explanation:

First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.

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Find the inverse of the function y= -3/(x+4)
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In an experiment, the probability that even A occurs is 0.2 and the probability that event B occurs is 0.5. If A and B are independent events, which statement is true?A. P(A and B) = 0.1
a ski shop has a markup rate of 50% find the selling price of skis that cost the store owner $300. tell me how you got the answer
Which of these rational numbers is also an integer?

If two lines intersect, what angles are congruent?opposite angles
adjacent angles
supplementary angles
vertical angles

Answers

Answer= Opposite Angles

The opposite angles of intersecting lines are congruent.

if two lines intersect they would be opposite angles

Adam has £500 Beth has £130 Adam gives some money to Beth. He now has twice as much money as Beth. What percentage of his money did he give away?

Answers

Adam = £500
Beth = £130.

Let the money Adam gives Beth be x.

So Adam would have 500 -x.
Beth would then have 130 + x.

Adam now has twice as much as Beth.

   500 - x = 2*(130 + x)
   500 - x = 2*130 + 2*x
   500 - x = 260 + 2x
   - x - 2x = 260 - 500
-3x = - 240

   x = -240/-3
   x    = 80

So Adam gave £80 to Beth.

To find the %: (80 / 500) * 100%. Use your calculator.

= 16 %.

So Adam gave away 16% of his money to Beth.

-4y - 24=3x write in slope intercept

Answers

Answer:

3x - 4y = 24 - 3x - 3x --------------------------- -4y = -3x + 24 ------ ------- ----- -4 -4 -4 y = 3/4x - 6

Step-by-step explanation:

Answer:

$y = (-3)/(4)x - 6$

Step-by-step explanation:

Slope intercept form is $y=mx+b$

We know that the -24 is b, and the 3 before the x is the m (slope).

So what you have to do is remove the -24 from the left side of the equation, to keep the y alone. To do that, add 24 to both sides of the equation.

-4y -24 +24 = 3x + 24

-4y = 3x + 24

Now, we need to get rid of the -4 from the y, so the y is alone. To do that, divide both sides by -4.

-4y ÷ -4 = (3x÷-4) + (24÷-4)

$y = (-3)/(4)x - 6$

Hope this helps!

Identify the independent and dependent variables. The number of campers decreased, so fewer counselors are needed.

A.
The independent variable is number of counselors and the dependant variable is number of campers.

B.
The independent variable is number of campers and the dependant variable is number of counselors.

Answers

The numbers of campus decreased can't be controlled by other people so it's independent.

Therefore, your answer is B. The independent variable is number of campers and the dependent variable is number of counselors.

A "point" is 1% of your borrowed amount on a mortgage. You want to pay 2 points to get a 0.5% reduction in your interest rate on a $175,000 mortgage. How much will you pay in points?

Answers

a point is 1% of your borrowed amount on a mortgage.
mortgage loan = 175,000

175,000 x 1% = 1,750 per point

1750 x 2 = 3,500 is the amount paid for the 2 points.

Answer: a) $3,500

Step-by-step explanation:

I got it right

Solve the following system of equation graphically 2x+y=-1 and x+2y=4

Answers

As 2x + y = -1

Then,

y = - 1 - 2x

We can to replace on the bellow equation.

x + 2y = 4

x + 2.( -1 -2x) = 4

Doing the distributive

x + 2.(-1) + 2.(-2x) = 4

x -2 -4x = 4

-3x -2 = 4

-3x = 4 + 2

-3x = 6

x = 6/-3

x = -2
________________

Then, the value of y will be:

y = -1 -2x

y = -1 -2.(-2)

y = -1 + 4

y = 3

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