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AleksAgata [21]
3 years ago
6

Which graph represents the solution to this inequality? 16x - 80x < 37 + 27

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0

Answer: ​107

Step-by-step explanation:

1 Remove parentheses.

16x-80<2716x−80<27

2 Add 8080 to both sides.

16x<27+8016x<27+80

3 Simplify  27+8027+80  to  107107.

16x<10716x<107

4 Divide both sides by 1616.

x<\frac{107}{16}x<

​16

​

​107

​​  

Done

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What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3?
tresset_1 [31]
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,

                                  Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
                                 S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96. 

6 0
3 years ago
Read 2 more answers
Find the x- and y- intercepts of the equation -x+5y=10.
mario62 [17]

Answer:

X Intercept: (-10,0), Y Intercept: (0,2)

Step-by-step explanation:

Well, firstly you need to rewrite the equation to make it easier. After rewriting it you have the equation y=x/5+2 by adding the x to the right side and dividing everything by 5. Now simply plug in your zeroes in their respective places. For the x intercept, your y value must equal 0 so we have the equation 0=x/5+2. After solving it, x must be -10 in order for our y value to be 0 getting us for the x intercept (-10,0). For the y intercept, your x value must equal zero so you simply subsitute zero in the equation for x which I will do here: y=0/5+2. If our x value is zero, consequently, our y value will be 2 getting us for the y intercept, (0,2).

4 0
2 years ago
What times 2 equals -3?
Xelga [282]

Answer:

just form an equation

let that number be x

then 2x=-3

x=-3/2 ANSWER

6 0
2 years ago
Read 2 more answers
Can you help me with these questions<br>​
dlinn [17]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

41. √20 = √4 * 5 = √4 * √5 = 2√5

43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.

45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x

47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.

7 0
3 years ago
Describe the pattern in the sequence. Find the next two terms of the difference -2, -5,-8, -11
PSYCHO15rus [73]

Hello from MrBillDoesMath!

Answer:

"-3" is added to a sequence member to get the next number. This next two terms are -14 and  -17


Discussion:

Note that -2 -3 = -5 and

                -5 -3 = -8 and

                -8 - 3 = -11


"-3" is added to a sequence member to get the next number. This implies that the next two terms are -11 -3 = -14 and -14 -3 = -17

Regards,  

MrB


5 0
3 years ago
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