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Lerok [7]
2 years ago
9

Riley and her roommate use the company Webmax for their Internet service. Webmax charges $0.03 per minute, plus a monthly flat f

ee for a modem. Last month for their total bill, Riley paid $31 and her roommate paid $20. If they used the Internet 1300 minutes, how much must the modem cost per month?
Mathematics
1 answer:
Mumz [18]2 years ago
3 0

Answer:

the modem is $8 per month

Step-by-step explanation:

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Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Vsevolod [243]

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

5 0
2 years ago
In △XYZ, m∠Z = 34, x = 61 cm, and z = 42 cm. Find m∠X. Round your answer to the nearest tenth of a degree.
Elza [17]
M∠X = 54.3°.

Using the Law of Sines, we have:
\frac{\sin{Z}}{z}=\frac{\sin{X}}{x}
\\
\\\frac{\sin{34}}{42}=\frac{\sin{X}}{61}

Cross multiplying gives us
61(sin 34) = 42(sin X)

Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X

Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
8 0
2 years ago
The average of a set of 18 consecutive integers is 22.5. what is the smallest integer in the set?
quester [9]
The sum of the 18 numbers is 22.5 x 18 = 405.
Let the numbers be x, x + 1, x + 2, . . ., x + 17

Sum of n term of an arithmetic sequence = n/2(a + l)
18/2(x + x + 17) = 405
9(2x + 17) = 405
2x + 17 = 405/9 = 45
2x = 45 - 17 = 28
x = 28/2 = 14

Therefore, the smallest integer is 14.
6 0
2 years ago
The product of two consecutive, negative integers is 182. What equation represents the situation?
Sholpan [36]
-13 and -14

They both are consecutive negative integers that multiply to 182.
4 0
2 years ago
Read 2 more answers
Jim Moore opened a new savings account. He deposited $12,000 at 12 percent compounded semiannually. At the start of the fourth y
Andrew [12]

It is 12000 x (1.06)^12 + 50000 x (1.06)^6 = 95,072.31 


start of 4th year to end of 6th year = 6 semi-annual periods where interest is compounded for the second deposit

6 0
1 year ago
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