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Reil [10]
2 years ago
8

will crown brainliest Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cu

bes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches
Mathematics
2 answers:
Lera25 [3.4K]2 years ago
8 0

Answer:

Option C, 3\frac{3}{4} inches³

Step-by-step explanation:

Stephanie puts 30 cubes in a box.

Cubes are 0.5 inch on each side.

The box holds two layers with 15 cubes in each layer

Since side of a cube is 0.5 inch so volume of one cube = (0.5)³

                                                                                           = 0.125 inch³

Volume of 30 cubes = 30 × 0.125 = 3.75 inch³

Since box contains 30 cubes

so volume of the box = volume of 30 cubes.

                                   = 3.75 inch³ ≈ 3\frac{3}{4} inches³

Option C, 3\frac{3}{4} inches³ is the answer.

KiRa [710]2 years ago
5 0
15 cubic inches is the answer hope this helps and please give me brainiest
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A sunflower grows 8 feet in 92 days. Assuming that it grows at a constant
Yuki888 [10]

Answer:

69 days

Step-by-step explanation:

Given that sunflower grows at constant rate.

Let the rate of growth be x feet per day. It means sum flower grows x feet every day.

in 1 day plant grows x feet,

so in 92 days plant will grow 92*x feet

In 92 days the growth of plant will be = rate of growth *92 = 92*x = 92x feet

But given that A sunflower grows 8 feet in 92 days

so, 92x will be same as 8 feet.

lets put it in equation

92x =8 feet

x = 8/92 = 2/23

Thus, rate of growth of sunflower plant is 2/23 feet per days.

it means it grows 2/23 feet every day.

Let number of days taken to grow 6 feet be y days

in 1 day plant grows 2/23 feet feet,

so in y days plant will grow 2/23*y feet

In y days the growth of plant will be = rate of growth *y= (2/23)*y = 2y/23 feet

But 2y/23 should be equal to 6 feet

2y/23 = 6

Multiplying  both side by 23

2y/23 * = 6 *23

=> 2y =138

dividing both side by 2

2y/2 =138/2

=> y = 69

Thus, it will take 69 days for sunflower to grow 6 feet.

4 0
2 years ago
Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the de
myrzilka [38]

Answer:

Dependent: Cost of the ride.

Independent : Number of rides.

Step-by-step explanation:

The independent variable is the variable what we change and the dependent variable is the variables which changes because of that changes.

Here the total cost of ride changes for any change in the number of rides.

Hence, the number of rides is the independent variable and the total cost of ride is the dependent variable

5 0
2 years ago
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A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
2 years ago
Underage drinking, Part II: We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008
Murrr4er [49]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: number of 18-20-year-olds that consume alcoholic beverages in a sample of 50.

The proportion of underage people that drinks are known to be p= 0.697

This variable is discrete. This experiment has two possible outcomes success or failure, we will call "success" each time we encounter an underage individual that consumes alcohol and "failure" will be counting an underage that does not consume alcohol. The number of repetitions of the trial is fixed n= 50. All randomly selected underage individuals are independent and the probability of success is constant trough the whole experiment p=0.697.

Then we can say that this variable has a binomial distribution and we will use that distribution to do the calculations.

a. Under a binomial distribution, the expected value is calculated as:

E(X)= n*p= 50*0.697= 34.85.

The variance of a binomial distribution is:

V(X)= n*p*(1-p)= 50*0.697*0.303= 10.55955

And the standard deviation is the square root of the variance:

√V(X)= 3.2495 ≅ 3.25

b. To know how rare the value 45, you have to see how distant it is concerning the expected value. For this you have to subtract the expected value and divide it by the standard deviation:

[X-E(X)]/√V(X)

(45-34.85)/3.25= 3.12

The value X=45 is 3.12 standard deviations above the mean, which means that it would be rare to find 45 people or more than consumed alcohol.

c. P(X≥45) = 1 - P(X<45)= 1 - P(X≤44)= 1 - 0.9994= 0.0006

I hope it helps!

8 0
2 years ago
It takes 5 carpenters 5 hours to make 5 chairs. How long would it take 100 carpenters to make 100 chairs?
Elza [17]
I hour because, one of the 5 carpenters built one chair in one hour, so one of the 100 carpenters would build one chair in one hour, there are only 95 more carpenters, nothing else different.
Hope I helped!
7 0
2 years ago
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