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stiks02 [169]
3 years ago
9

Seed corn was $5 per bag, whereas dog food cost only $3 per bag. Wewoka bought 50 bags and spent $190. How many bags of dog food

did she buy?
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0
Hello!

You can make two equations based on what you know

x + y = 50
5x + 3y = 190

Subtract y from both sides of the first equation

x = 50 - y

Put x into the second equation

5(50 - y) + 3y = 190

Distribute the 5

250 - 5y + 3y = 190

Combine like terms

250 - 2y = 190

Subtract 250 from both sides

-2y = -60

Divide both sides by -2

y = 30

Put y into the first equation

x + 30 = 50

Subtract 30 from both sides

x = 20

She bought 20 seed corn bags and 30 bags of dog food

Hope this helps!
weeeeeb [17]3 years ago
8 0

Answer:

30 bags

Step-by-step explanation:

Nc + Nd = 50

5Nc + 3Nd = 190

Multiply by -5 becomes:

-5Nc - 5Nd = -250

5Nc + 3Nd = 190

Equals:

-2Nd= -60

simplify:

-2Nd/-2 and -60/-2 = Nd= 30 bags

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
3 years ago
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

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2 years ago
What is the rate of change of the line on the graph below?
Whitepunk [10]
The rate of change on the line is x line goes to the right and y line goes upward
5 0
3 years ago
Read 2 more answers
(a)<br> Solve.<br> 3x – 4 = x + 5
exis [7]

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

3x - 4 = x +5      (1) subtract x

2x - 4 = 5        (2) subtract 5

2x + 1              (3) divide by 2

x = 1/2 or 0.5

4 0
3 years ago
Will give brainliest to whoever answers both questions!! I need to turn this in soon!
Harman [31]

Answer:

y=55x

given y=385

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y=55x

change x to y and y to x

x=55y

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inverse function is x/55

Step-by-step explanation:

5 0
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