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Maru [420]
3 years ago
15

Your friend has improved in his math class. On his first test he scored 50 points, and then he scored 53, 56, 59, and 62 points

on his next 4 tests. His tests continued to improve following this pattern. If he took 15 tests, how many points did he score on the last test?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

Step-by-step explanation: I think you skip count by 50s or something like that. So, it has to be 64.

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The answer is B because the other two sports require cleats but in basketball you dont use cleats.
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3 years ago
If logb2=x and logb3=y, evaluate the following in terms of x and y:
Alja [10]

log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x

<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

3 0
3 years ago
Graph the line of the given equation
Dafna11 [192]

Answer:

Step-by-step explanation:

See the attached image

3 0
1 year ago
Triangle ABC is shown below.
inna [77]

Answer:

the answer is 14 C

Step-by-step explanation:

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3 0
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the vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation
ser-zykov [4K]

Answer:

45+10x = y

Step-by-step explanation:

$45 -- stays the same no matter what so that's constant.

$10 -- this varies dependent on the number of vaccinations your dog needs, so you'd use a variable to represent the number of vaccinations (in this case I'm using variable "x").

So, for example if your dog needed 7 vaccinations, it would be: 45+10(7) = y -- answer being $115.

6 0
4 years ago
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