Gallon of cleaner are on sale for 50% off the regular price of $3.18. a customer buys one gallon and the cashier $5.00 The customer change is

Answers

Answer 1

Answer: 50% off $3.18 = 3.18 X .50 = 1.59

3.18 minus discount of 1.59 = 1.59

Now 5.00 - total cost of 1.59 = 3.41 in change

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Write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the slope and b is the y-intercept:Part A) Passes through (2, 5) and m = 3/4
Part B) Passes through (−3, 2) and (1, −3)
Part C)m=2/5 and y-intercept =-6
Part D) x-Intercept = 4 and y-intercept = −2
Part E) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0

Answers

Part A) Passes through (2, 5) and m = 3/4

y - 5 = 3/4 (x - 2)

y = 3x/4 - 3/2 + 5

y = 3x/4 + 7/2

Part B) Passes through (−3, 2) and (1, −3)

y - 2 = [(2 -(-3)) / (-3 -1) ] * [x - (-3)]

y - 2 = [5/(-4)] * [x+3]

y = -5x/4 - 15/4 + 2

y = -5x/4 -7/4

Part C)m=2/5 and y-intercept =-6

y = 2x/5 - 6

Part D) x-Intercept = 4 and y-intercept = −2

x-Intercept = 4 = (4,0)

and y-intercept = −2 = (0, - 2)

y - (-2) = [ (0 - (-2) ) / (4-0)] * [x-0]

y +2 = [2/4] (x)

y = x/2 - 2

Part E) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0

Parallel lines have same slope, m.

m = 4/3

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

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

y = 4x/3 +8/3 + 2

y = 4x/3 + 14/3

Estimate the angle of elevation from the trailhead to the summit.

Answers

you can do the sin, cos, or tan of that angle using any of the numbers provided

Sin x = summit/ trailhead

Cos x = horizontal distance / trailhead

tan x = summit/ horizontal distance

If amanda hikes at an average speed of 2.72 miles per hour, how long will it take her to hike 6.8 miles

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i hope this helps you

I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 151/20 < 7.611 < 7 5/8 < 8.66

Step-by-step explanation:

First convert the fractions to decimals.

151/20= 7.55

7 5/8 = 7.625

The other two numbers are 7.611 and 8.66

In all the numbers the least is 7.55, then comes , 7.611, 7.625 and 8.66 .

the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair

Answers

Just add 25 minutes. That's because they boarded at 3:55 and took 25 minutes to just go to the fair. So in 25 more minutes they got to the fair! so it would be 4:20 when they got to the fair.

Do:

3.55 - 0.25 - 1.15 = 2.15 hs

They arrived at fair the 2.15 hs

Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.

Answers

Answer:

19.2

Step-by-step explanation:

1st Case:

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

2nd Case

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

Final Step

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: 19.2

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A jar contains five red marbles and three green marbles. A marble is drawn at random and notreplaced. A second marble is then drawn from the jar.1) Find the probability that the first marble is red and the second marble is green.2) Find the probability that both marbles are red.3) Find the probability that both marbles are the same color.i dont understand how to find 2 & 3, can someone explain please? thank you