Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?
Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?
Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00
The 20% was applied after the coupon so the price after the coupon was:
= Total price / ( 1 - Discount)
= 60 / ( 1 - 20%)
= $75
The coupon was $10 so before it was attached it the price was:
= Price after coupon + coupon
= 75 + 10
= $85
In conclusion, the original price was $85.
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10 < 2 - d solve for d
Answer:
d< -8
Step-by-step explanation:
10 < 2 -d
Add d to both sides: 10 + d < 2 -d + d
Simplify: 10+d<2
Subtract 10 from both sides: 10 + d - 10 < 2 - 10
Simplify: d < -8
Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)
This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165
Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Person has the flu.Event B: Person got the flu shot.The percentages associated with getting the flu are:
20% of 30%(got the shot).65% of 70%(did not get the shot).Hence:
[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]
The probability of both having the flu and getting the shot is:
[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]
0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
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Answer:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
Which of the following is equivalent to the expression below? (2^5)(2^6)
(A) 2^11
(B) 2^30
(C) 4^11
(D) 4^30
Answer:
(A) 2^11
Step-by-step explanation:
Given f(x) = 3. + 1, solve for when f(3) = 7.
Answer:
The question is incomplete
1,7,19,37,61,91,127,169…
Answer:
Sequence sum? but it has no right sequence
The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day
Answer:
Step-by-step explanation:
16 cm / 10 days = 1.6 cm/day
10 days / 16 cm = 0.625 days/cm
I need help with numbers 17 and 18.
Answer:
17. D
18. C
Step-by-step explanation:
For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.
17.The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.
As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:
D. Y'(11, -8)
__
18.Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.
R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)
R' = (-2/3, 1) . . . . . matches choice C
The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________
b) At what depth did they stop to look at the octopus? ______________________
Answer:
20 meters
Step-by-step explanation:
..................
The statue of liberty casts a 122 foot shadow at the same time ryan casts a 2 foot shadow. If the statue of liberty is 305 feet tall how tall is ryan?
Step-by-step explanation:
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
122 × f = 2
f = 2/122 = 1/61
therefore, Ryan is
305 × f = 305 × 1/61 = 5 ft
tall.
If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The length of shadow of Statue of Liberty = 122 foot.
The length of shadow of Ryan = 2 foot.
Also, the height of Statue of Liberty = 305 feet.
Let the height of Ryan = x
To find the value of x,
Use ratio and proportion method,
122 / 305 = 2 / x
x = 2 x 305 / 122
x = 305 / 61
x = 5
The height of Ryan is 5 feet.
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A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.
Max points i need this for finals
Answer:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]
X = -4 – -2 = -2
Y = 4 – 10 = -6
[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts
Answer:
3/8
Step-by-step explanation:
hope this helped
what is 100,100,100,987 times 72
Answer: 7207207271064