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Eddi Din [679]
3 years ago
6

5+ (9.7 - b ) =6.8 what is the value of b

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0

Answer:

b = 7.9

Step-by-step explanation:

5 + (9.7 - b) = 6.8 \\ 5 + 9.7 - b = 6.8 \\ 14.7 - b = 6.8 \\  - b = 6.8 - 14.7 \\  - b =  - 7.9 \\  = b = 7.9

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suppose the sales tax rate is 9%. if the sales tax amount is $117 on a taxable item, what is the price of the item before tax?
klemol [59]
$117/1.9= $61.578 rounds to $61.60
$61.60 is the price before tax.
6 0
3 years ago
Help me pleaseeeeeeeee​
madam [21]

Answer:

-2

Step-by-step explanation:

35 / (-7) * (-2) = 10

-5 + (-15) + 3 * 5 = -5

10 / (-5) = -2

5 0
3 years ago
If it takes 5 gallons of gas to drive 115 miles, how many miles can be driven using 7 gallons of gas?
elena-s [515]

Answer: The answer is 161

Step-by-step explanation: First you write 5 and 115 as a proportion, 5/115, (for every 5 gallons you can go 115 miles). Then you find out how much you can go with 1 gallon, divide by 5. Then multiply that by 7, since that is how many gallons you need to find out.

Hope this is helpful!

7 0
3 years ago
You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte
Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \,  otherwise }} \right.

a)  We calculate  the probability that you need less than 5 minutes to get up:

P(x

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate  the probability that you will need between 8 and 13 minutes:

P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3

Therefore, the probability is P(8<x<13)=0.3.

d)  We calculate the probability that you will be late to each of the 9:30am classes next week:

P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6

You have 9:30am classes three times a week.  So, we get:

P=0.6^3=0.216

Therefore, the probability is P=0.216.

e)  We calculate the probability that you are late to at least one 9am class next week:

P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1

Therefore, the probability is P=1.

3 0
3 years ago
Which of these is a correct statement?
Montano1993 [528]

Answer:

the answer is B because it has only one unknown and also it is a linear equation so it will have only one answer which is (2 )

6 0
3 years ago
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