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jolli1 [7]
3 years ago
12

A grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon?

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

.79/4= .197. Or 20 cents each

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Write a linear equation based on given information. Through (5,-5) and (4,0)
Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)

We find the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5

Thus, the equation is of the form:

y = -5x + b

We substitute a point and find b:

0 = -5 (4) + b\\0 = -20 + b\\b = 20

Finally, the equation is:

y = -5x + 20

Answer:

y = -5x + 20

6 0
3 years ago
Elena receives ​$131 per year in simple interest from three investments totaling ​$3000. Part is invested at​ 3%, part at​ 4% an
ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0
3 years ago
Solve the following system of equations:<br> y = 5/4x - 2<br> y = -1/4x + 19<br><br> x = ? and y = ?
Dmitry [639]

Answer:

1. y= 5 /4 x −2

2.x=−4y+76

4 0
3 years ago
Read 2 more answers
Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set
KATRIN_1 [288]
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6 0
1 year ago
For f(x) = 3x^2 – X+5, 2f (-3) - f(4)=
Alenkinab [10]

Answer:

3x^2-x+5.2f\left(-3\right)-f\left(4\right) =

3x^2-x-19.6f

Step-by-step explanation:

3x^2-x+5.2f\left(-3\right)-f\left(4\right)

=3x^2-x-5.2f\cdot \:3-f\cdot \:4

=3x^2-x-15.6f-4f

=3x^2-x-19.6f

8 0
3 years ago
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