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DochEvi [55]
3 years ago
10

The sum of two numbers is $30$. the difference of twice the larger number and three times the smaller number is $5$. what is the

positive difference between the two numbers?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
X+y=30
2x-3y=5

y=30-x

2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24

y=30-x
y=30-24
y=6

The positive difference between the two numbers is 18.
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What are the answers to the equation please get back to me
Keith_Richards [23]

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

4 0
3 years ago
How do I answer this?
professor190 [17]

1 carton has 36 eggs.

to find X eggs you would need to multiply 36 eggs by the number of cartons bought.

Let c = number of cartons:

The expression becomes: x = 36c


For 180 eggs, replace x with 180 and solve for c:

180 = 36c

c = 180 / 36

c= 5 cartons.

4 0
3 years ago
Write a function in any form that would match the graph shown below
ella [17]

Answers:

  • Vertex form:  y = -2(x-1)^2 + 8
  • Standard form: y = -2x^2 + 4x + 6

Pick whichever form you prefer.

=============================================================

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

7 0
2 years ago
Question 2
harina [27]

Answer:

True

Step-by-step explanation:

a triangle can be formed with any side of any length

6 0
3 years ago
There are 4 semi-trailer trucks parked in a line at the rest stop. After the first truck, each truck in the line weighs 2 tons m
Neko [114]
So we start off with what 4 numbers added together equal 32.
first truck 5 tons
second truck 7 tons
third truck 9 tons
and fourth truck 11.

5 + 7 + 9 + 11


5+7= 12 +9 = 21+11= 32.
6 0
3 years ago
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