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Contact [7]
3 years ago
12

Consider the original rectangle and its reduction.

Mathematics
2 answers:
vekshin13 years ago
6 0
Three fourths. Hope it helps
Masja [62]3 years ago
3 0

Answer: Three - fourths

Step-by-step explanation:

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Write the equation of the line that passes through the points (2, 3) and (3, -7). Put
FrozenT [24]

Answer:

y - 3 = -10 (x-2)

Step-by-step explanation:

The point-slope formula is y-y_1 = m (x-x_1). When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute m, x_1, and y_1 for real values.

1) First, find m, or the slope. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points. Then, solve:

m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, y-y_1 = m (x-x_1). Since m represents the slope, substitute -10 in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

y - 3 = -10 (x-2)

7 0
3 years ago
Mike wants to make meatloaf. His recipe uses a total of 7 pounds of meat. If he uses a 3 to 1 ratio of beef to pork, how much po
SSSSS [86.1K]
Total meat in the recipe  he wants to use  = 7 pounds

Beef : pork    =    3  : 1

Total pork that he will use =      \frac{1}{3+1} x 7 pounds

= 7/4 pounds

hope this helps
6 0
3 years ago
An employee puts 10000 in a retirement account that offers 4% interest. How much will he have in 12 years
steposvetlana [31]

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

4 0
3 years ago
Jonna mixes 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. Each serving is 1/16 gallon. How many se
Semenov [28]
1/2 + 1/4 is 3/4 gallons. converted into sixteenths, that is 12/16 gallons which is 12 servings
6 0
3 years ago
PLS HELP MEEEI NEED ANSWERS ASAP ASAP
Brums [2.3K]

Answer:

Associative.

Step-by-step explanation:

In addition and multiplication, it does not matter which two numbers you put together first. On the left aide 6 is associated with 3. On the right side 3 is grouped with 7.  It doesn't matter where 3 goes. You still get the same answer.

(6 + 3) + 7 = 6 + (3 + 7)

   9    +  7   =  6  + 10

        16  =  16

6 0
3 years ago
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