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PIT_PIT [208]
3 years ago
7

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris

Mathematics
1 answer:
KatRina [158]3 years ago
4 0
X=pounds of Type A coffee
y=pounds of Type B coffee

QUANTITY EQUATION:
x+y=178

COST EQUATION:
$5.45x + $4.20y=$870.10

STEP 1:
Solve for one variable in equation one.  Then substitute it in equation two.

x+y=178
subtract y from both sides of the equation
x=178-y


STEP 2:
substitute x=178-y in equation two

5.45x + 4.20y=870.10
5.45(178-y) + 4.20y=870.10
multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10
970.10-5.45y+4.20y=870.10
combine like terms

970.10-1.25y=870.10
subtract 970.10 from both sides

-1.25y=-100
divide both sides by -1.25

y=80 pounds of type B coffee


STEP 3:
Substitute y=80 in either equation to solve for x

x+y=178
x+80=178
subtract 80 from both sides
x=98 pounds of type A coffee


ANSWER:
x=98 pounds of type A coffee
y= 80 pounds of type B coffee


CHECK:
Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10
5.45(98)+4.20(80)=870.10
534.10+336=870.10
870.10=870.10

Hope this helps!  :)

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Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?
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Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

<h3>Variation</h3>

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y = k × x

4 = k × 2

4 = 2k

k = 4/2

k = 2

when y = 2 and x = 4

y = k × x

= 2 × 4

y = 8

  • Indirect variation

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when y = 2 and x = 4

y = k/x

2 = k/4

2 × 4 = k

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y = k/x

y = 8/x

Learn more about variation:

brainly.com/question/6499629

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Which is the graph of f(x) = log3x?.
valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; \rm  f(x) = log3x

We have to determine

The graph of the function f(x).

According to the question

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Function; \rm  f(x) = log_3x

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1

The point at x= 3 is,

\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1

The point at x= 9 is,

\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3

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