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2 years ago

Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?

Mathematics

2 answers:

shtirl [24]2 years ago

7 0

Peter= x
Phil=3x
Implies that 4x=48 which means x=12
Implies that Phil has 36 rocks
36-12=
24 more rocks

Ivan2 years ago

3 0

Let x = the number of marbles for Phil
Then 3x = the number of marbles for Peter
Together they have 3x+x=48 or 4x=48 and x=12
So Phil has x = 12 marbles and Peter has 3x, let x = 12, 3(12) = 36 marbles.
Peter has 24 more marbles than Phil.

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Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

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Now, find the y-intercept (b) using the general form of a line with the given slope:

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Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

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2 years ago

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jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

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we know that

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For h(t)=0

$-16t^{2}+28t+17=0$

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The formula to solve a quadratic equation of the form

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in this problem we have

$-16t^{2}+28t+17=0$

$a=-16\\b=28\\c=17$

substitute in the formula

$x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}$

$x=\frac{-28(+/-)\sqrt{1,872}} {-32}$

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Answer:

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Answer:

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