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Shkiper50 [21]
3 years ago
7

Expand by using the distributive property: (a + bc)2x

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
5 0

2xa + 2xbc (just multiply both units in the paranthesis by whats on the outside.)

skad [1K]3 years ago
4 0

(a + bc)2x

= 2x*a + bc*2x

= 2ax + 2bcx

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How do you solve the system 3x-y z=5, x 3y 3z=-6, and x 4y-2x=12?
dlinn [17]
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)

From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . .  (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)

(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5

From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3

x = 3, y = 0.5, z = -3.5
8 0
3 years ago
A school is organizing a weekend trip to a nature preserve. For each student, there is a $50 charge, which covers food and lodgi
k0ka [10]

The number of students going on the trip is 50.

Given,

A school is organizing a weekend trip to a nature preserve.

For each student, there is a $50 charge, which covers food and lodging. There is also a $25 charge per student for the bus.

The school must also pay a $15 cleaning fee for the bus.

The total cost of the weekend is $3,765.

We need to find out how many students will be going on the trip.

<h3>How do we find the number of items from the cost of each item and the total amount?</h3>

We simply divide the total cost by the cost of each item.

Example:

Total amount = 10

Each item cost = 2

Number of items = 10/2 = 5

Find the charge of each student.

= Food and lodging charge + bus charge

= $50 + $25

= $75

Find the additional charge for the trip.

= Cleaning charge

= $15

Find the total cost of the trip.

= $3,765

Find the total charge from the students.

= $3,765 - $15

= $3,750

Find the number of students who went on the trip.

= Total charge from the student's ÷ cost of each student

= 3750 ÷ 75

= 3750 / 75

= 50

This means 50 students.

Thus the number of students who went on the trip is 50.

Learn more about finding the number of students who like both games with a ratio given here:

brainly.com/question/24125573

#SPJ2

8 0
1 year ago
Read 2 more answers
A company hauls its 1 cubic foot boxes in the truck as shown.
Alenkinab [10]

Answer:

96

Step-by-step explanation:

3*4*8=96

4 0
2 years ago
Read 2 more answers
Describe the end behavior of the function.<br><br><br> f(x)=3(1/5)^x-2
Likurg_2 [28]

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

5 0
2 years ago
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A student ate 3/20 of all candies and another 1.2 lb. Another student ate 35 of the candies and the remaining 0.3 lb. Altogether
Ipatiy [6.2K]
The correct question is
<span>A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?</span>

let
x-------> total <span>weight of candies
we know that

x=(3/20)*x+1.2+(3/5)*x+0.3
</span>x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb

the answer is
6 lb
8 0
3 years ago
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