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2 years ago

50 points, brainIiest, 5 stars, and a thanks. Please help me! :(

Mathematics

2 answers:

Dmitrij [34]2 years ago

8 0

Answer:

The constant rate of proportionality is 2.5.

Step-by-step explanation:

The formula for constant rate of proportionality is y divided by x.

So, we would then solve the quotient of each y and x.

The first one would be 10 divided by 4, which is 2.5.

The second one would be 12.5 divided by 5, which is also 2.5.

The third and final one would be 25 divided by 10, which is also 2.5.

Hence, the constant rate of proportionality would be 2.5.

<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>

-Dominant- [34]2 years ago

3 0

Answer:

2.5

Step-by-step explanation:

Hope this helps :)

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2 years ago

On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordi

Lemur [1.5K]

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

Given that:

$A =5$

$B = 50$

The coordinate of X at the midpoint is:

$X = \frac{B + A}{2}$

So, we have:

$X = \frac{50+5}{2}$

$X = \frac{55}{2}$

$X = 27.5$

Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

$T = X + \frac 23 (B - X + 1)$

So, we have:

$T = 27.5 + \frac 23 (55 - 27.5 + 1)$

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$T = 46.5$

<em>Hence, T is located at 46.5</em>

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brainly.com/question/18611090

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2 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

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1 year ago

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Katarina [22]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers