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1 year ago

Over the summer, Nancy exercised daily and lost from 145 pounds to 132 pouds. What is the percent of change?

Mathematics

1 answer:

jeka57 [31]1 year ago

5 0

Answer:

$8.97\text{ \%}$

Explanation: Over the summer, Nancy exercised daily, and her weight went 145 pounds to 132 pounds. we need to find the percent change:

Change in weight is:

$145p-132p=13p$

Change is percent is:

$\frac{\text{ Change in Weight}}{\text{Original Weight}}\times100=(\frac{13}{145})\times100=8.97\text{ \%}$

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Use the graph below to estimate the solution to the system of equations shown.

Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

$y=-x-3$ (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

$y=2x-8$ (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

$y=-x-3\\y=2x-8$

Substitute y=2x-8 in y=-x-3

$2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})$

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

$y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )$

So the answer is the second choice.

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3 years ago

(Ross, 4.78) A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, w

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given

Jar contains 4 white and 4 black marbles

We randomly select 4 marbles out of which 2 are white and 2 are black

Probability that 2 white and 2 black marbles are selected is

$P=\frac{^4C_2\times ^4C_2}{^8C_4}$

$P=\frac{18}{35}$

The process is continue for n trails until we choose the correct order

i.e. we have to fail in n-1 trails

For exact n selection Probability is given by

$Req.\ Probability=Probability\ of\ failure\ in\ (n-1)\ trials\times Probability\ of\ getting\ exact\ order$

$=\left ( 1-\frac{18}{35}\right )^{n-1}\times \frac{18}{35}$

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3 years ago

. Find the surface area of a sphere with diameter 30 m. Leave your answer in terms of

OlgaM077 [116]

The sphere has surface are of 900π m².

Step-by-step explanation:

Given,

Diameter = d = 30m

Radius = $\frac{d}{2} =\frac{30}{2} = 15m$

Surface area of sphere = $4\pi\ r^2$

$Surface\ area = 4*\pi *(15)^2\\Surface\ area = 4*\pi * 225\\Surface\ area= 990\pi$

The sphere has surface are of 900π m².

Keywords: Surface area, multiplication

Learn more about spheres at:

#LearnwithBrainly

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3 years ago

Write 3 1/3 as an improper fraction.

Nataly_w [17]

10/3 is the answer
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4 years ago

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Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n

Studentka2010 [4]

Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).

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

The slope of function for points (0,-100) and (1,-50) is

$m_1=\frac{-50-(-100)}{1-0}=50$

The slope of function for points (2,0) and (3,100) is

$m_2=\frac{100-0}{3-2}=100$

Since the slopes of function are different, therefore the given function is non-linear.

The function is not linear because the rate of change is not constant and option c is correct.

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4 years ago

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