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3 years ago

Billy's age is twice Joe's age and the sum of their ages is 45. How old is Billy?

Mathematics

1 answer:

Fed [463]3 years ago

4 0

Answer:

30 years old

Step-by-step explanation:

Joe's age can be set to x. Since Billy is twice as old as Joe, his age can be set to 2x. They add up to 45. You can set up an equation, 2x+x=45.

Simplify the equation.

3x=45, x=15

Joe is 15. Billy is 2(15)=30.

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3 years ago

What is always true about the properties of all 7 quadrilaterals?

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Step-by-step explanation:

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3 years ago

Determine the function which corresponds to the given graph. a natural logarithmic function crossing the y axis at zero and goin

kogti [31]

Answer:

$\text{Required function is} f(x)=-\log_6(x+1)$

Step-by-step explanation:

We need to find the function using given condition.

Parent function of log is log x

$f(x)=\log x$

A natural logarithmic function crossing the y axis at zero and going through the point 5, -1. The asymptote is x = -1

Asymptote is x=-1

So, graph will shift 1 unit right.

$f(x)=a\log_b(x+1)$

Passing point: (0,0) and (5,-1)

Using these two point we will get a and b

For point (5,-1)

$-1=a\log_b(5+1)$

$-1=a\log_b6$

Log to exponent change property

$b^{-1/a}=6$

We will rearrange the expression

$b^{-1/a}=6^{-1/-1}$

Now we compare both side to get a and b

So, a=-1 and b=6

Final function we get

$f(x)=-\log_6(x+1)$

Thus, Required function is $f(x)=-\log_6(x+1)$

5 0

3 years ago

A student taking a test consisting of 10 questions is told that each questions after the first is worth 2 marks more than the pr

KengaRu [80]

Answer:

Student can obtain 15 marks by attempting 8 questions.

Step-by-step explanation:

This question is incomplete; complete question is here.

A student taking a test consisting of 10 questions is told that each questions after the first is worth 2 marks more than the preceding question. If the third question of the test is worth 5 marks.What is the maximum score that the student can obtain by attempting 8 questions?

A students when attempts the questions the sequence formed by the scores he gets will be in the form of a, (a + 2), (a + 4), (a + 6)........

Which will be an arithmetic sequence with a common difference = 2

We know explicit formula of an arithmetic sequence is

$T_{n}=a+(n-1)d$

Where $T_{n}$ = First term of the sequence

a = first term

n = number of term

d = common difference

It is given that 3rd term of this sequence is 5.

$5=a+(3-1)2$

a = 5 - 4 = 1

Explicit formula for the sequence will be $T_{n}=1+(n-1)2$

$T_{n}=2n-1$

Now if the student attempts 8 questions then from the explicit formula

$T_{8}=8\times 2-1$

$T_{8}=15$

Therefore, student can obtain 15 marks by attempting 8 questions.

6 0

4 years ago

How do you solve this??

DochEvi [55]

Answer:

Step-by-step explanation:

Hi Millie.

First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.

Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.

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4 years ago