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2 years ago

A flower takes 8 minutes to grow 5.2 inches. How many inches will the flower grow in 17 minutes?

1 answer:

5 0

11.05 inches.

EXPLANATION:

Firstly, lets see the unit rate for how many inches per minute.

5.2 divided by 8 is 0.65 inches every minute.

Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.

11.05 inches.

Hope this helps!

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If point P is 4/7 of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

Ket [755]

Answer:

4:3

Step-by-step explanation:

Given that P divides segment MN into 4/7, let MN to be x units in length then

MP = 4/7 x =4x/7 --------(i)

But MN =MP+PN so;

x=4x/7 +PN

x- 4X/7 =PN

3x/7 =PN ----------(ii)

To get the ratio of MP:PN

MP: PN

4x/7:3x/7

MP/PN = 4x/7 / 3x/7

MP/PN =4/3

MP:PN = 4:3

8 0

3 years ago

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Simplify [tex]\sqrt{p^4q^6r^5. answer is D just took the test

Rasek [7]

The answer is A according to the answer and the sheet

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2 years ago

For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2

Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

$y=-0.27x^{2}+3.3x+77$

For $y=80\ billion\ eggs$

Solve the quadratic equation

$80=-0.27x^{2}+3.3x+77$

$0.27x^{2}-3.3x+3=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$0.27x^{2}-3.3x+3=0$

$a=0.27\\b=-3.3\\c=3$

substitute in the formula

$x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}$

$x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}$

$x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years$

$x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years$

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

$y=-0.27x^{2}+3.3x+77$

$y=80$

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

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3 years ago

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GalinKa [24]

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2 years ago

9s+3=57<br> Z/5+3=-35<br> 7(c-12)=-21

Fudgin [204]

The answer you're looking for is s=6.
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3 years ago