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Georgia [21]
2 years ago
13

(HELP FOR 50 POINTS)

Mathematics
1 answer:
GrogVix [38]2 years ago
4 0

y = 10x + 5 is the required equation.

Explanation:

A family of two to go to state fair is $25

A family of six to go to state fair is $65

So the 2 points are (2,25) and (6,65)

Rate of change = (y2-y1)/ (x2-x1)

 Plugin the values, we will get,

                          = (65 - 25)/ (6-2)= 40/4 = 10

Equation can be written as,

(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)

(y-25)/(65-25) = (x-2)/(6-2)

(y-25)/ 40 = (x-2) / 4

4(y-25) = 40(x-2)

4y - 100 = 40x - 80

4y = 40x - 80 + 100

4y = 40x + 20

Dividing the equation by 4, we will get,

y = 10x + 5 is the equation required.

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Answer: =86

Step-by-step explanation:

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<em>∞ 234483279c20∞</em>

4 0
3 years ago
Read 2 more answers
The mass of a block of stone is 2,000 kg. If the block has a volume of 0.5m
rodikova [14]
Density = Mass / Volume = 2000/0.5
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4 0
3 years ago
PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0
3 years ago
What is the result of the operation
Anna35 [415]

Answer:

D.

Step-by-step explanation:

-2*-3=6        -2*5=-10.      -2*1=-2

-2*8=-16.      -2*-2=4.       -2*3=-6

-2*2=-4.       -2*1=-2.        -2*-4=8

6 0
3 years ago
What is the slope of the line 7, 0 and -5, 0
lutik1710 [3]

Answer:

Slope =  (Y2 -Y1) ÷ (X2 -X1)

Slope = (0 -0) / (-5, -7)

Slope = 0 / -12 = 0

The slope of the line is zero.  It is perfectly horizontal.


Step-by-step explanation:


6 0
3 years ago
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