Hello! So, the toy company makes blocks that cost $5 to make. Then, they mark it up by 300%, which is marking the price up by 4. 100% markup is doubling the price, 200% is tripling the price, and 300% marks the price up by 4. Then, the blocks would cost $20. After that, the price would be marked up by 150%, so that’s 2.5 times the price of the original. When you do $20 by 2.5, then the blocks cost $50. The local toy store will mark the block up by 200%, which as said before, is tripling the price. Then, you do 50 * 3, and then the price of the blocks is $150. Then, it gets marked off by 30% and 10% of 150 is 15, so 30% off 150 is 45. When you do 150 - 45, the difference is $105. Then, you take off an additional 15%, But you would still have to pay 85% of the original price. You would do 105 * 0.85, and then you would get $89.25 for the blocks. But that’s not all. You have to pay 8% sales tax for the blocks. You can find the tax by doing 89.25 * 0.08 and then adding the prices together. Or, you can do 89.25 * 1.08 to find the total price. Either way, the product should be 96.39. The total price you paid for the blocks is $96.39.
Draw out a number line. Make sure 4 is on the number line. At this location, plot an open circle. The open circle indicates "do not include this endpoint as part of the solution set". We shade to the right of this open circle.
Visually this describes all real numbers that are larger than 4.
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
Answer:
A
Step-by-step explanation:
2x² + 5x = 12
2x² + 5x - 12 = 0
x² + 5x - 24 = 0
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3
2x² - 3x + 8x - 12 = 0
split the equation and factor
2x² - 3x = 0 ||| 8x - 12 = 0
x(2x - 3) ||| 4(2x - 3)
therefore the pair is (2x - 3)(x + 4)
2x - 3 = 0
2x = 3
x = 3/2
or
x + 4 = 0
x = -4
The dilation factor Sophia is using appears to be
(image coordinate)/(original coordinate) = -9/-3 = 15/5 = 3
Then the problem tells us
(pre-image point)×3 = (3, 1)
so we conclude
(pre-image point) = (3, 1)/3 = (1, 1/3)
