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Anni [7]
2 years ago
11

A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, wh

ich costs $5.80 per kilogram to make. If the mixture includes oats that cost $9.40 per kilogram and feed corn that costs $3.40 per kilogram, how many kilograms of each should the worker include in the mixture?
_?__ Kilograms of oats
_?__ Kilograms of feed corn
Mathematics
1 answer:
qaws [65]2 years ago
8 0

Answer:

168 kg oats and 252 kg corn

Step-by-step explanation:

2 equations and 2 unknowns

eq 1: x + y = 420

x is the amount of oats

y is amount of corn

eq 2: 9.4x + 3.4y = 5.8*420

solve equation 1 for x

x = 420 - y

substitute the value of x in eq 2

9.4(420-y) + 3.4y = 2436

y = 252

substitute y in eq 1

x + 252 = 420

x = 168

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Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if h
luda_lava [24]

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is  86 - 90 = -4

                                             82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

5 0
3 years ago
Choose the equation that represents the line passing through the point (2, -5) with a slope of -3.
chubhunter [2.5K]
Your answer is D.) y = -3x + 1
7 0
3 years ago
Read 2 more answers
The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?
Alexxandr [17]
Vertex form uses the following formula:

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

Identify the values of h and k in your function:

(x+5)^2 - 28
h = -5, k = -28

The vertex is found with the following point:

(h,k)
\text{Vertex: (-5, -28)}

The vertex will be found at (-5, -28).
4 0
3 years ago
*PLEASE HELP WILL GIVE 60 POINTS I'M DESPERATE*
Zina [86]

Answer:

(0, 3)

Step-by-step explanation:

1. Find the slope:

\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } =\frac{0-(-3)}{-4-(-8)}\\ \\=\frac{3}{4}

2. Calculate the y-intercept using a given point:

(-8, -3)

-3 = \frac{3}{4} (-8) + b

-3 = -6 + b

-3+6 = -6+6 + b

3 = b

3. Write in slope intercept form:

y= \frac{3}{4} x+3

Therefore, the y-intercept is 3.

The graph for this table is shown below.

hope this helps :)

4 0
2 years ago
Read 2 more answers
Pls help i will give brianliest
Blababa [14]

Answer:

b is the answer

Step-by-step explanation:

4 0
3 years ago
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