70,66,62,58 what's the expression for the general term...4n+?

Answers

Answer 1

Answer: This is what is considered an arithmetic sequence because the common difference between term is 4. So one way you could write each term is the first term minus the common difference times the number times one. So assuming that the first number in the sequence is 70, you can write the expression as $70-4(n-1)$ , where 70 is the first term, 4 is the common difference and n is the nth-numbered term. Simplify this expression and it is now, $74-4n$ . So you were close, but you can't necessarily add a specific term each time to find the next term in the sequence because it is decreasing

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Write the ratio in lowest terms. 20:14a. (7/10)
b. (20/14)
c. (14/20)
d. (10/7)

Answers

when putting ratios, fractions, expressions, etc into lowest terms you take out the gcf.

in this case the gcf of both 20 and 14 is 2.

20/2:14/2 = 10:7

the answer is d

to get a ratio in lowest terms, you have to divide both sides by the same number. what number fits into both? 2 does. so 20/2=10, and 14/2=7. this means that (d) is correct.
does that help?

Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?I need both ages thx

Answers

present age of charlie is 45 years

present age of priya is 25 years

Step-by-step explanation:

Let start from five years ago

Let at that age of Priya was x years

given that

Charlie was twice older than Priya

age of Charlie = 2x

_____________________________________________

present age of charlie = age 5 years ago + 5 years = 2x + 5

present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5

_________________________________________________

age of charlie 3 years from now = present age of charlie + 3 years

age of charlie 3 years from now =2x + 5 + 3 = 2x + 8

age of priya 3 years from now = present age of priya + 3 years

age of priya 3 years from now =x + 5 + 3 = x + 8

Given that

in 3 years the sum of their ages will be 76

thus

sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76

=> 3x + 16 = 76

=> 3x = 76-16 = 60

=> x = 60/3 = 20

Thus,

present age of charlie = 2x + 5 = 2*20 + 5 = 45 years

present age of priya = x + 5 = 20 + 5 = 25 years

The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.

Answers

Answer:

$Density = 1.1546\ kg/pint$

Step-by-step explanation:

Given

$Mass = 7\ lb$

$Cups = 5.5$

Required

Determine the density in Kg/Pint

Density is calculated as thus:

$Density = (Mass)/(Volume)$

$Density = (7\ lb)/(5.5\ cups)$

Convert pound to kg

$Density = (7/ 2.205\ kg)/(5.5\ cups)$

$Density = (3.17515\ kg)/(5.5\ cups)$

Convert cups to pint

$Density = (3.17515\ kg)/(5.5/2\ pint)$

$Density = (3.17515\ kg)/(2.75\ pint)$

$Density = 1.1546\ kg/pint$

Final answer:

The density of the given material can be converted from 7 pounds per 5.5 cups to 1.22 kg per pint by adjusting the weight from pounds to kilograms and the volume from cups to pints.

Explanation:

To solve this problem, we need to start by understanding the unit conversions. We know that 1 pound is approximately 0.453592 kilograms and 1 pint is equivalent to 2.11338 cups. Therefore, we need to convert the units of the given density from pounds per cups to kilograms per pint.

First, convert the weight from pounds to kilograms: 7 pounds * 0.453592 kg/pound = 3.17514 kg

Next, convert the volume from cups to pints: 5.5 cups / 2.11338 cups/pint = 2.6 pints

Finally, calculate the new density by dividing the weight by the volume: 3.17514 kg / 2.6 pints = 1.22 kg/pint to the nearest hundredth.

Learn more about Density Conversion here:

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Suppose a jar contains 9 red marbles and 24 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.

Answers

Answer: 0.0727

Step-by-step explanation:

We can use the concept of probability:

In this case, we have 9 red marbles and 24 blue marbles, so the total number of marbles is 9 + 24 = 33.

Since there are 9 red marbles out of 33 total marbles, the probability of drawing a red marble on the first draw is 9/33.

There will be 8 red marbles left out of the remaining 32 marbles in the jar. So, the probability of drawing a second red marble after the first red marble is 8/32.

To find the probability of both marbles being red, we multiply the probabilities of the fractions together. (9/33) * (8/32).

Now let's round the answer to 4 decimal places!

(9/33) * (8/32) ≈ 0.0727

Therefore, the probability that both marbles drawn are red would be 0.0727. Sorry if it's nonsense, I'm just an average 6th Grader : D

Final answer:

The probability of pulling out 2 red marbles from the jar is approximately 0.0727.

Explanation:

To find the probability of pulling out two red marbles from the jar, we need to calculate the probability of pulling out a red marble on the first draw and then a red marble on the second draw.

The probability of pulling out a red marble on the first draw is 9/33, since there are 9 red marbles out of a total of 33 marbles. After the first marble is removed, there are now 8 red marbles left out of a total of 32 marbles. So, the probability of pulling out a red marble on the second draw is 8/32.

To find the probability of both events happening, we multiply the probabilities together: (9/33) * (8/32) = 0.0727 (rounded to 4 decimal places).

Learn more about Probability here:

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The following are angles in a convex quadrilateral: Angle A = 34 degrees Angle B = 108 degree Angle C = 65 degrees What is the measure of the missing angle?

Answers

In a quadrilateral all angels must equal 360 degress. So by adding your angels up and then subtracting them from 360, you will find the missing angle.

34 + 108 + 65 = 207

360-207 = 153

Your unknown angle is 153 degrees

Well since it is a quadrilateral, the degrees equal 360. So add 108 + 34 + 65 = 207. Then subtract 207 from 360. 360 - 207 = 153. So 153 is your missing angle. To check just add 153 + 65 + 34 + 108 = 360.

The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other: