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tamaranim1 [39]

3 years ago

9

Nathan picked a total of 60 apples and 1/3 hour write and solve a division equation to find how many apples Nathan could pick in

one hour

1 answer:

Ainat [17]3 years ago

4 0

X/3=60
then multiply each side by 3 and x will equal 180

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1) Solve the following system of equations algebraically. Give your solution as two

Bad White [126]

For this case we have the following system of equations:

$y = x ^ 2 + 7x + 12\\y = 2x + 8$

Equating both equations we have:

$x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0$

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

$4 + 1 = 5\\4 * 1 = 4$

Then, the factorized equation is of the form:

$(x + 4) (x + 1) = 0$

Thus, the solutions are:

$x_ {1} = - 4\\x_ {2} = - 1$

We look for solutions for the variable "y":

$y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6$

Thus, the system solutions are given by: $(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)$

ANswer:

$(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)$

8 0

3 years ago

3f+2g=30 and f+2g=26

tatuchka [14]

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

7 0

3 years ago

An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 ho

hjlf

ANSWER: A.3.6 GALLONS

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3 years ago

Make a table of values for -3 < x > 3 and plot a graph for y= -2x + 3

denis-greek [22]

X= -3x + 2 this is the answer

4 0

3 years ago

Miguel borrowed $1,800for 2 years and ended up paying $180 in simple interest . What was the interest rate

Gala2k [10]

It was 10 % 1,800 ÷10 =180

3 0

3 years ago