Determine the 58th<br> Sequence.<br> 540, 495, 450, ...

Setler [38]

Answer:

$\huge\boxed{\sf t = 4}$

Step-by-step explanation:

$\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}$

Hope this helped!

6 0

3 years ago

Read 2 more answers

Which equation represents the line shown

murzikaleks [220]

Answer: Third option:

Step-by-step explanation:

The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

The equation in Slope Intercept form of a line that passes through the Origin, is:

$y=mx$

Where "m" is the slope of the line.

In this case you can observe in the picture attached that the line passes through the point (0,0).

You can also notice that "y" would be the Dependent variable and "x" the Independent variable.

Therefore, the equation of this must have this form:

$y=mx$

The only equation that matches with that form, is the one given in the Third option. This is:

$y=2x$

7 0

2 years ago

the coordinates of the endpoints of ab and cd are a(x1, y1), b(x2, y2), c(x3, y3), and d(x4, y4). which condition proves that ab

k0ka [10]

Two lines are parallel if they have the same slope. Computing for the slope of line segment ab and line segment cd using m=(y2-y1)/x2-x1):
m of ab=(2-1)/(2-1)=1 m of cd=<span>(4-3)/(4-3)=1
Since line segment ab and line segment cd have the same slope which is 1, then they are said to be parallel. </span>

3 0

3 years ago

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A kennel has 80 dogs in total dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a k

aleksklad [387]

The ratio given says this - 3 puppies : 2 adults = 5 total dogs
You are given (?) puppies : (?) adults = 80 total dogs
In this case, you are trying to find the number of puppies, so you do not need to care about the number of adults. You need to compare the ratio with the actual amount.
Total/puppies = total/puppies
5/3 = 80/(?)
Now, cross multiply.
5(?) = 240
Divide both sides by 5 and you get your answer.
(?) = 48

8 0

2 years ago

Consider all three-digit numbers formed by using different digits from 0, 1, 2, 3 and 5. How many of these numbers are divisible

irga5000 [103]

4 numbers for the first term: 1, 2, 3, 5
5 numbers for the second term: 0,1,2,3,5
5 numbers for the third term: 0, 1, 2, 3, 5

100 combinations total, sooooooo

8 0

2 years ago

Determine the 58th Sequence. 540, 495, 450, ...