Mars takes 686 days to orbit the Sun. What percent is this of the time it takes the Earth to orbit the Sun?
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Find the ratio of the following is175and210
Find all the real cube roots of 0.000027.A. 0.0009 B. 0.03 and -0.03 C. 0.0009 and -0.0009 D. 0.03
Use an algebraic equation to solve the problem. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm? A. 10.5 cm, 11.5 cm, and 12.5 cm B. 22.5 cm, 30 cm, and 37.5 cm C. 7.5 cm, 11.5 cm, and 32.1 cm D. 19.3 cm, 25.7 cm, and 32.1 cm
Ace_santiagoFigure TUVW ≌ figure TꞌꞌUꞌꞌVꞌꞌWꞌꞌ. Which sequence of transformations was performed on figure TUVW to produce figure TꞌꞌUꞌꞌVꞌꞌWꞌꞌ? A. TUVW was reflected across the x-axis and then rotated 270° clockwise about the origin. B. TUVW was translated 3 units to the left and 2 units down and then reflected across the x-axis. C. TUVW was rotated 90° counterclockwise about the origin and then translated 4 units to the right. D. TUVW was translated 2 units right and 3 units up and then reflected across the y-axis.
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The quotient is the decimal form of the ratio.
Enter only a number for your answer.
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Answer:
-4
Step-by-step explanation:
Notice that the only way to multiply 2 numbers from each of the polynomials and get an x term is to multiply a constant and an x term.
The only ways to do that is to multiply -6x by 3 and 7x by 2.
After you're done multiplying, just combine the 2 like terms:
-18x+14x
=-4x
Therefore, the coefficient of the x term is -4.
B 10x+5y+3≤75
C 10x+5y≤75
D 10x+5y+3≥75
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Answer:
B.
Step-by-step explanation:
If each ticket costs $10 and each popcorn costs $5, with x = number of tickets and y = number of popcorn and $3 the service we have
10x+5y+3 = total cost.
Now, he has a total of $75 and he buys 4 tickets so
10(4)+5y+3 = 75
40+5y+3 = 75
43+5y=75
5y = 75-43
5y = 32
y = 32/5 = 6.4 ≈ 6 popcorn.
Then, he can buy 6 popcorns. Now, to find the inequality we need to know that if he has $75, the total cost can't exceed $75, that is, the total cost needs to be less or equal to $75.
10x+5y+3 ≤75.
Because if x equals the number of tickets the it would be 10 X x. Same with the popcorn. for example: x=5 And y =3. it would be
10(5)+5(3)+3=$68
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a) 56,62,68,71,104,507 ⇒ Median is a better measure. Mean is not a better measure because of the outliers.
b) 2,8.5, 9.2, 9.8, 10.1 lb ⇒ Median is a better measure.
c) Mean is a better measure. No outliers. Data set values are close with each other.
d) Mean is a better measure.
B. You will never have the credit card paid off.
C. You will have it paid off within 5 years.
D. You will have the credit card paid off within 10 years.
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Answer: The credit card will paid off within 10 years, therefore the correct option is D.
Explanation:
Let the number of years in which the credit card will aid of be x.
It is given that amount owed on credit card is $1000 with interest rate 27.99%.
So the amount of interest is calculated as,
The total amount have to pay is,
The minimum payment is $20 each month.
So, the credit card will paid of in 63.995 months. We know that 1 year =12 months.
Therefore, the will paid of in 5.33 years, s we can say that the credit card will paid off within 10 years, therefore the correct option is D.
Final answer:
The correct answer is not listed; it would take significantly longer than 10 years to pay off a $1,000 credit card debt at 27.99% APR by making only $20 minimum payments due to the high interest rate.
Explanation:
When dealing with credit card debt, it is crucial to understand the impact of making only minimum payments, especially when the interest rate is high. In the example provided, a credit card balance of $1,000 with an annual percentage rate (APR) of 27.99% and a minimum payment of $20 per month would take much longer than any of the given options to pay off if one were to only make minimum payments. Calculations using a debt repayment calculator or an amortization formula would show that the option of paying it off within 1, 5, or even 10 years by making minimum payments only is not feasible due to the high-interest costs that add up each month. The correct answer would be similar to the situation in which it takes about 15 years to pay off a $2,000 debt, making minimum payments will eventually lead to a payoff, but with a larger cost in interest over time.