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Luden [163]
3 years ago
5

Priya bought two plants for a science experiment. When she brought them home, the first plant was 5 cm tall and the second plant

was 4 cm. Since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week. Priya represents this situation with the equation 5+0.5w=4+0.75w, where w represents the end of week w. What does the solution to this equation, w=4 represent in this situation?
Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

7

Step-by-step explanation:

5+0.5x4=4+0.75x4

5+2=4+0.75x4

7=4+3

7=7

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Write down the equation of a line that is parallel to the line with equation y=7-4X
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Answer:

y=8-4x

Step-by-step explanation:

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3 years ago
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
sdas [7]

Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

-13=a(-7)^2+b(-7)+c

49a-7b+c=-13

(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

-7b=0

b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

5 0
3 years ago
In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result
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(a) 28%

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When calculating the total amount of people it come out to 150.

According to the table 42 people smoke. 42/150 is 28%

According to the table 36 people exercise regularly. 36/150 is 24%
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3 years ago
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a_sh-v [17]

Answer:

1/12 of a dozen is 1

Step-by-step explanation:

One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.

4 0
3 years ago
Read 2 more answers
What number is to 100 as 4 is to 78
vitfil [10]
Hello, 

4 is to 78 as x is to 100, we write it as a ratio:

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5 0
3 years ago
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