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garik1379 [7]
4 years ago
5

Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.

Mathematics
1 answer:
Murrr4er [49]4 years ago
4 0

Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

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What is the factor of 16
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Read 2 more answers
A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.
Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

7 0
3 years ago
A chain has a ribbon tied to it every 2/3 foot. If the chain is 10 2/3 feet long, how many ribbons are tied to the chain??
patriot [66]

Answer:

16 ribbons

Step-by-step explanation:

Given the length of the chain as 10\frac{2}{3} and there is a ribbon tied to it every \frac{2}{3}, we can take the total length of the chain and divide by the measure of \frac{2}{3}:

10\frac{2}{3}=\frac{32}{3}

\frac{\frac{32}{3}}{\frac{2}{3}}=\frac{32}{3}*\frac{3}{2}=\frac{96}{6}=16

When dividing with fractions, we use the rule of 'keep/change/flip' to keep the first fractions, change the operation to multiplication and flip the second fraction.  

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Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

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Thus, the cost of 10 lb of lettuce is $16.90.

6 0
2 years ago
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