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3 years ago

5. Vocabulary A _________ is a set of equations that have the same variables.

Mathematics

2 answers:

goblinko [34]3 years ago

4 0

Answer:

Linear equation

pls mark brainliest

Lilit [14]3 years ago

4 0

Answer:

linear system

Step-by-step explanation:

A linear system is a set of equations that have the same

variables.

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Members of a college chemistry department agree to contribute equal amounts of money to make up a scholarship fund of $280. Then

Zarrin [17]

Answer:

7 members

Step-by-step explanation:

Lets say that the department has n members. If each member contributes with an equal amount x and make a total of $280, we know that:

n*x = 280

Where each one colaborated with:

n*x/n = 280/n

Or what is the same that: (as the n on the left eliminate themselves)

x = 280/n (*)

Now the department hires 3 more members, so we now have n+3 members. And we know that the pass from contributing x to contribute $30 less, it is, x-30 (I omit the $ symbol for simplicity). So, know we have:

x-30 = 280/(n+3)

We can replace x here by the formulation of x we did in the (*) equation:

( 280/n) - 30 = 280/(n+3)

using common denominator:

( 280/n) - 30 n/n = 280/(n+3)

( 280 - 30 n)/n = 280/(n+3)

Cross multiplying the denominators:

( 280 - 30 n)*(n+3) = 280*(n)

280n - 30n^2 + 840 - 90n = 280n

Subtracting 280 n in both sides:

30n^2 + 840 - 90n = 0

Dividing both sides by 30:

-n^2 - 3n + 28 = 0

Factorizing this term (you can notice the factor immediately or solving with baskara resolution, I omit the baskara for simplicity):

-(n + 7)(n - 4) =0

So, n is equal to 4 and -7. As we are dealing with people we can not have -7 people, so we keep only n=4.

So, previous the new hiring there were 4 members, now there are 7.

The used to collaborate with 280/4 = $70, now the collaborate with 280/7=$40, and we see the collaboration decreased in $30.

7 0

3 years ago

PLEASE HELP ME!!!! THIS IS TIMED PLEASE HELP ME!!!! PLEASE!!!! PLEASE HELP ME!

guapka [62]

Answer:

18/28

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the

SSSSS [86.1K]

Answer:

A) (17 ; 550)

B) $17/item

C) 550

Step-by-step explanation:

First we must calculate the intersection point of the two lines. Since in that point y has the same value in both equations, we can obtain x by equalling the two equations and then using that value for obtaining y:

$5x+465=-6x+652\\5x+6x=652-465\\11x=187\\x=\frac{187}{11}\\x=17$

So the value of x in the intersection point is 17. We now use this value with either one of the equations to obtain y. Let's use the supply equation:

$y=5*17+465\\y=550$

So the intersection point is (17 ; 550)

Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the x coordinate and the amount of items is the y coordinate, so that is a selling price of $17/item with a number of items of 550.

3 0

3 years ago

Mrs. Nelson bought a 2-gallon container

Serjik [45]

128, because it’s actually 256 but 256/ 2= 128

5 0

3 years ago

Read 2 more answers

Find two consecutive intergers whose sum is -29

boyakko [2]

-29= x + (x + 1)
-29= 2x +1
-30= 2x
-15=x
The answer is -15, -14.

6 0

3 years ago