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3 years ago

12

Lydia ran the same race in 43.85 seconds on her first try and 43.24 seconds on her second try. How much faster was her second tr

y?

2 answers:

devlian [24]3 years ago

6 0

Answer:

She ran faster on her second try by 0.61 seconds.

Step-by-step explanation:

43.85-43.24

0.61

Degger [83]3 years ago

6 0

0.61 seconds !
43.85 - 43.24 = 0.61

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The sum of two numbers is 21.

Delvig [45]

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21

5 0

3 years ago

5 times 395 using properties of operations

DochEvi [55]

Hello there!

<u><em>Answer: ⇒⇒=1975</em></u>

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Step-by-step explanation:

First you had to multiply by the number.

$395*5=1975$

1975 is the right answer.

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Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

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6 0

3 years ago

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

The graph shows the volume of ice cubes versus temperature in degrees

drek231 [11]

Answer:

A. The data show a negative linear relationship.

Step-by-step explanation:

According to the attached image as we can see that the temperature is in Y axis and volume of ice cubes is in X axis

So the following statements considered to be true

a. The volume represents the explanatory variable

b. Temperature would be strongly correlated to the ice cubes volume

c. As the correlation coefficient is near to -1

But it does not show the negative linear relationship

Therefore the correct option is a.

7 0

3 years ago

PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Liula [17]

Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$

7 0

4 years ago

Read 2 more answers