1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
3 years ago
14

Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm

by 3.5 cm by 3.5 cm and have a density of 0.914 g/ml. How many cubes can he put in the box?
Mathematics
1 answer:
salantis [7]3 years ago
5 0

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = Side ^3

The volume of a each ice cubes is =3.5^3 cm³

                                                        = 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

\Rightarrow x=\frac{2000}{39.18775}

\Rightarrow x\approx 51

Frank can put 5 cubes in the box.

You might be interested in
Question is in picture ​
Slav-nsk [51]

Answer:

6

Step-by-step explanation:

the first thing I did to smome but you know 5AM was a l

7 0
2 years ago
Suppose a couple planned to have three children. Let X be the number of girls the couple has.
sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

P(X=2) = \dfrac{3}{8}

d)

P(\text{3 boys}) = \dfrac{1}{8}

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Favorable outcome: {GGB, GBG, BGG}

P(X=2) =\dfrac{3}{8}

d) probability that the couple have three boys.

Favorable outcome: {BBB}

P(BBB) = \dfrac{1}{8}

8 0
3 years ago
Numbers 6,7,8 I can't figure out
marysya [2.9K]
6. Take your compass and place the pointed edge on point B. Place one point on each side of B, each the same distance away from B. Next, place your compass on one of the two new points and extend your compass to draw a circle. Repeat with the SAME radian from the other point. Find where the two circles intersect with each other and draw a line from the points of intersection to point B. Place point A anywhere on that line that you just created and then you're done!

7. Select any place along either line and place point S on it. Next, using the same method as above, draw two circles with the same radius around both points S and R. Draw a line through the intersection points. Locate the intersection where your new line connects with the line across from the shared line of RS. Place a point at the intersection, for your reference, then connect that point to point S. Now you have completed this problem as well.

8. Use a straight edge to draw one line. Place points A and B on each end. Use the circle method yet again to find a line perpendicular to line AB. Next, take your compass and set it to the distance from point A to B. Use that same distance to make a point on the perpendicular line. This creates point C. The final step is to connect A with C and B with C.
7 0
3 years ago
Plsss help will mark brainliest
nataly862011 [7]

Answer:

27. 18.62

28. 200%

29. 136

30. 50

31. 12.5%

32. 750

33. 5.4

Step-by-step explanation:

7 0
3 years ago
Which of the following is an equation of the line that passes through the point (1,1) and has a slope of 2?
Gennadij [26K]
Y = mx+b
1 = 2(1) + b
1=2+b
1-2=b
or 
b=-1
equation
y = 2x - 1

answer:<span>a. y=2x-1</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of<br> p=
    5·1 answer
  • Johnny is 52 inches tall . max is 65 inches tall. What percent of Johnny height is max
    10·1 answer
  • 3t minus 7 equals 5t then 6t =
    11·1 answer
  • When 1600 is increased by 20% and the resulting number is decreased by y% the answer is 1536. Find the value of y?
    8·1 answer
  • Luke’s Bakery recently spent a total of $69 on new equipment, and their average hourly operating costs are $15. Their average ho
    7·1 answer
  • Simplify equation x-7=12​
    10·2 answers
  • This graph shows how the length of time a kayak is rented is related to the rental cost. What Is the rate of change shown in the
    8·2 answers
  • dnw snow storm Francisco had 17 inches of snow on his lawn.the temperature then increased in the snow begin to melt at a consist
    10·1 answer
  • Shoes Galore sells a red pair of sneakers for $78. If the cost of the shoes is $24 , how much is the markup rate ?
    9·1 answer
  • From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!