Mathematics High School

Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?

Answers

Answer 1

This means the area is 64 inches^2:

x * x = 64
x = 8

Hope this helps!

Answer 2

Answer:

4 inches is the edge length of the container.

Step-by-step explanation:

Length of the small cubes = a = 1 inch

Volume occupied each small cube = v = [tex]a^3=(1 inch )^3= 1 inches^3[/tex]

Length of the big cube = A

Volume of the big cube = V

[tex]V=A^3[/tex]

He uses 64 cubes with side lengths of 1 inch to completely fill the container.

[tex]V=64\times v=64\times 1 inches^3[/tex]

[tex]A^3=64\times 1 inch^3[/tex]

A = 4 inch

4 inches is the edge length of the container.

Related Questions

1) Convert 3/5 to a decimal (show work)
2)Convert 3 8/10 to a decimal (show work)
3)Convert 5/9 to a decimal (show work)

Answers

1) To convert 3/5 to a decimal, we first multiply the numerator and denominator by 2 to obtain 6/10. One tenth is 0.1, so 6/10 is 6 times 0.1, or 0.6. 2) To convert 3 8/10 to a decimal, we see that 3 can be seen as a whole-number decimal, and 8/10 is 8 times 0.1, or 0.8. Adding these, we obtain 3.8. 3) We cannot write 5/9 as a decimal that terminates, but we can approximate 5/9 as a decimal. First, we multiply the numerator and denominator by 111, giving 555/999. Then we say that 999 is approximately 1000, so 555/999 is approximately 555/1000. Since 1/1000 is 0.001, then 555/999 is approximately 555 times 0.001, or 0.555.

Rita's score is 13 more than 2 times milan score. if we let y represent milan's score, write an algebraic expression for rita's score.

Answers

Final answer:

Rita's score is expressed algebraically by the expression 2y + 13, where y represents Milan's score.

Explanation:

Rita's score can be expressed algebraically in terms of Milan's score. Given that y represents Milan's score, the problem statement tells us that Rita's score is 13 more than 2 times Milan's score. So, we can write Rita's score as 2y + 13. To translate this into an algebraic expression, we start with Milan's score y, multiply it by 2 to get '2 times Milan's score', and then add 13 to get '13 more than 2 times Milan's score', which results in our final expression, 2y + 13.

This expression shows us how to calculate Rita's score based on any given value for Milan's score.

At the end of the first day, 7 weeds appear in your neighborhood park. each day, the number of weeds increases by four times. how many weeds will be in the park at the end of 14 days?

Answers

7^14=
6782230728497 to the power of 14 (days)

PLEASE SHOW WORK
Solve for the formula for the variable x

ax+5=by-10

Answers

ax+5=by-10
ax =by-10 - 5
ax = by - 15
x = (by - 15) / a

hope it helps

What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)

Answers

put them in order from smallest to largest
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

median = (174 + 175 )/2 = 174.5

answer
174.5

put them in order from the smallest to the largest:
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

find the 2 middle numbers, in this case 174 & 175

the median is the average of those 2 numbers:

(174 + 175 )/2 = 174.5

the median = 174.5

Are these all correct?

Answers

Problem 1) Line n is the line of symmetry (not line o) because we can fold the lower half to match up with the upper half. The folding line is over line n.

Problem 2) I agree. Nice work on getting the correct answer. The folding line is a vertical line through the center

Problem 3) It's hard to say for sure, but I think the top left corner is NOT reflective over any line of symmetry no matter how you rotate it. So I would uncheck that box. I agree with your other choices though. Great job with those.

Find four consecutive integers whose sum is 106

Answers

the sum of 106 is 100 and 10

What The length of AC?

Answers

If Angle C is 53° then angle A=42°

sin 42°/85=sin 85°/AC
==>AC=sin 85° *85 /sin 42°=126.54711....

A= 42 ° . 180- 138= 42. You get 138 from adding the angles given together (85+53)

the sum of three numbers is 64. the second number is 3 more than the first. the third number is 11 less than twice the first. find the numbers

Answers

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.

There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation

Answers

Let the total number of cans be x and the total number of tennis balls be y,

Since increasing the total number of cans causes the total number of tennis balls to increase too, x and y is direct in proportion.

Let the constant be k,
y = kx
45 = k9
k = 45/9
= 5

The constant of the proportionality for this situation is 5.

Choose the list that shows these numbers in order from largest to smallest.

0.63, 0.58, 0.059, 0.06

A.) 0.63, 0.58, 0.06, 0.059
B.) 0.58, 0.63, 0.06, 0.059
C.) 0.06, 0.58, 0.059, 0.63
D.) 0.059, 0.06, 0.58, 0.63

Answers

greatest to least : 0.63 , 0.58, 0.06, 0.059

u basically start by looking at the first number to the right of the decimal...look at only that one number....now which one is biggest...it is the 6 in 0.63....now continue doing that and u will see that the 5 in 0.58 comes next...but then ur left with 2 numbers that have a 0 in that spot...so move over another number (to the right)...and compare those numbers....so the next one is the 6 in 0.06...and lastly, the 0.059.

Final answer:

The largest to smallest order of the numbers 0.63, 0.58, 0.059, and 0.06 is 0.63, 0.58, 0.06, 0.059. This corresponds to option A, which is accurate when comparing decimal place values.

Explanation:

The question asks to arrange the given decimal numbers in order from largest to smallest. To do this, compare each decimal place value one by one from left to right. Starting with the first decimal place, select the largest digit to determine the largest number. Once the largest number is identified, move on to the next largest, and so on, until all numbers are ordered.

Comparing the whole numbers: 0.63, 0.58, 0.06, 0.059, we can see:

0.63 is the largest because it has the largest value in the tenths place (6), and the next number is 3.0.58 is the next largest because the tenths place is 5 and the hundredths place is 8, which is larger than the hundredths place of 0.59.0.06 is larger than 0.059 because when comparing numbers with the same digits leading up to the last place, the number with fewer decimal places is larger.

Therefore, the correct order from largest to smallest is 0.63, 0.58, 0.06, 0.059. The correct answer is option A: 0.63, 0.58, 0.06, 0.059.

translate into an equation Find three consecutive even integers whose sum is negative eighteen

Answers

well if your sum is -18 then you know your answers are going to be negative numbers.

make x be your first unknown negative even integer. you want your negative x and then negative x minus two and negative x minus four

x1= x
x2= x-2
x3= x-4

you know all three need to equal -18

solve for x:
-18= -x + (-x-2) + (-x-4)

-18 = -x-x-2-x-4
-18+2+4= -3x
12=-3x

12/-3=x

-4=x

then plus x into the first problem.

x1= -4 = -4
x2= -4-2 = -6
x3= -4-4 = -8

so your integers would be -4, -6, and -8

check:
(-4) + (-6) + (-8) = -18

let me know if you have any questions.

I am a number less than 100. Two of my factors are three and five. My digits are one apart. What number am I?

Answers

factors 3 & 5

3*5 = 15

15, 30, 45, 60, 75, 90 are all the possible choices

so the answer would be 45 since the numbers are only 1 apart

for the expoential function y= ab^x, which of the following value(s) would produce an expoential decay function?

a. 0<b<1
b. a<0
c. b>1
d.b<0

Answers

Hello.

A decay function has a distinctive comportment:

"If a < b, therefore f(a) > f(b)"

So, the function must assume smaller values as x grows.

This is accomplished when 0 < b < 1

Answer:

its a but what would it be if it was a growth

Step-by-step explanation:

can someone help am not sure how to do this -2x+3y=-10
2x+y=-14
HELP

Answers

A) -2x+3y=-10
B) 2x+y=-14
Adding the equations we get
4y = -24
y = -6

Inserting y = -6 into equation B)
B) 2x -6 = -14
2x = -8
x = -4

−20 ≤ 59(F−32) ≤ −15

Answers

We take the value of F in the inequality by taking the inequalities in group. Let the first group be:

(1) -20 ≤ 59(F - 32)

Then, the second group would be,
(2) 59(F - 32) ≤ - 15

Calculating for the values of F,

(1) -20 ≤ 59F - 1888
1888 - 20 ≤ 59F
1868 ≤ 59F
F ≥ 31.66

(2) (59)(F - 32) ≤ - 15
59F - 1888 ≤ -15
59F ≤ 1873
F ≤ 31.75

The values of F are therefore,
31.66 ≤ F ≤ 31.75

To solve the inequality −20 ≤ 59(F−32) ≤ −15, divide by 59 and then add 32 to isolate the variable F, resulting in the range 31.661°F to 31.746°F.

Inequality Solution

Let's solve the compound inequality −20 ≤ 59(F−32) ≤ −15 step by step.

First, we need to isolate the variable term by dividing all parts of the inequality by 59.
−20/59 ≤ F − 32 ≤ −15/59.This simplifies to approximately:
−0.339 ≤ F − 32 ≤ −0.254.Next, we solve for F by adding 32 to all parts of the inequality:
32 - 0.339 ≤ F ≤ 32 - 0.254,
which simplifies to approximately:
31.661 ≤ F ≤ 31.746.

Therefore, the Fahrenheit temperature F is in the range of approximately 31.661°F to 31.746°F.

How do you use the product of 123 times 47 to find the product of 123 times 0.47 explain the difference in the two products?

Answers

123•47=5781
123•0.47=57.81

you can use the product of 123•47 to help you solve for the product of 123•0.47 by seeing that all you do is move the decimal yo the left 2 spaces. The reason you move the decimal to the left 2 spaces is because 47 is 0.47 just the decimal was moved 2 spaces to the right.

Suppose a system of equations has fewer equations than variables and you have found a solution to this system of equations. is it possible that your solution is the only one? explain.

Answers

If you've guessed the solutions, good for you. But if they are linear equations, they will only intersect each other graphically at one point. So no there is not another solution.

What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

Answers

Refer to the diagram below.

Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ

According to the Law of Sines,
[tex] \frac{sinS}{2.4} = \frac{sin80^{o}}{3.1} \\\\sinS = (\frac{2.4}{3.1}) sin 80^{o}= 0.7624 \\\\ S = sin^{-1}0.7624 = 49.68^{o}[/tex]

Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°

Apply the Law of Sines again to obtain
[tex] \frac{x}{sinQ} = \frac{3.1}{sin80^{o}} \\\\ x = ( \frac{sin50.32^{o}}{sin80^{o}})3.1 = 2.423[/tex]

Answer: The length of RS = 2.4 (nearest tenth)

Answer:

Answer: The length of RS = 2.4 (nearest tenth)

The longest stem on elis geranium plant is 7.24 inches. write 7.24 in word form answer

Answers

when we write 7.24 inches in a word form we can write it as seven point twenty four or seven and twenty four hundredths.
when we write digits in to a sentence that is word form of numbers.

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43, point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline. Write an equation to determine the number of minutes (t)(t)left parenthesis, t, right parenthesis that Raymond was on the trampoline.

Answers

7 + 1.25t = 43.25 <== ur equation
1.25t = 43.25 - 7
1.25t = 36.25
t = 36.25 / 1.25
t = 29 <== he was jumping for 29 minutes

Answer:

Answer:M=29

subtract 43.25 by 7 because it's a one time fee. But the 1.25 is for each minute so you subtract by 7 and you get 36.25. once you have 36.25 you divide it by 1.25. You should then get 29 mins.

we have to solve for D

Answers

Since in the original equation, there is √d, to isolate the variable, we must square both sides.

(√d)²= (4h)²
d= 16h^2

Final answer: d= 16h^2

[tex] \sqrt{d} = 4h[/tex]

[tex]\text{Square both sides}[/tex]

[tex]d=16h^2 [/tex]

A vending machine has three different choices of drink: lemonade (L), cola (
c. and orange (O). Unfortunately, it has been filled at random and you cannot choose the drink you want. You are going to buy two drinks. This is a list of some of the combinations of drink that you could end up getting. CO, OL, LL, CL, CC, Which combination of drinks have you missed from the list?

Answers

you missed OO (double orange)

The sum of two numbers is 55 and the difference is 1 . What are the numbers?

Answers

27 and 28 because their sum is 55 and 28-27=1

Find the slope of a line through a pair of points (2,-3) and (8,4)

Answers

slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6

#1 please help fr fr

Answers

I can't really see the problem. It's way too blurry

It's way too blurry for me too. perhaps make one that's clearer so we could answer?

What is767,074 rounded to the nearest hundred thousand

Answers

800,000 is the answer

Jamaal studied h hours for a big test. Karla studied one fourth as long. Write an algebraic expression for the length of time Karla studied. Use this expression to determine the length of time that Karla studied if Jamaal studied for 5 hours and 20 minutes.

Answers

Let's assign variable x to denote the number of hours for Karla to study. Since the relationship is relative to Jamaal's hours, the equation for Karla's hours would be:

x = (1/4)h

So, if Jamaal studied h = 5 h + (20 min* 1 h/60 min) = 16/3 or 5.333 hours. Thus, Karla's hours would be

x = (1/4)(16/3) = 1.33 hours or 1 hour and 20 minutes.

Jan works from 30 to 40 hours per week during the summer. she earns $12.00 per hour. her friend rachel also has a job. rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. find the domain and range of each function. compare their hourly wages and the amount they earn per week.

Answers

Jan earns between $360 and $480. While Rachel earns between $220 and $330. Jan's hourly wage is $12 and Rachel's is $11.

Final answer:

Jan's function has a domain of [30, 40] and a range of [$360, $480]. Rachel's function has a domain of [20, 30] and a range of [$220, $330]. Jan earns $12 per hour and can earn between $360 and $480 per week, while Rachel earns $11 per hour and can earn between $220 and $330 per week.

Explanation:

The domain of Jan's function is the range of hours she works per week, which is between 30 and 40, denoted by [30, 40]. The range of Jan's function is the amount of money she earns per week, which is calculated by multiplying her hourly wage ($12) by the number of hours she works (30 to 40 hours). So, the range of Jan's function is [$360, $480].

Similarly, Rachel's function is given by r(t) = 11t, where t represents the number of hours she works per week. The domain of Rachel's function is the range of hours she works per week, which is between 20 and 30, denoted by [20, 30]. The range of Rachel's function is the amount of money she earns per week, calculated by multiplying her hourly wage ($11) by the number of hours she works (20 to 30 hours). So, the range of Rachel's function is [$220, $330].

Comparing their hourly wages, Jan earns $12 per hour while Rachel earns $11 per hour. Comparing the amount they earn per week, Jan can earn between $360 and $480 per week while Rachel can earn between $220 and $330 per week.

In geotown, there are 210 teenagers that own a tablet.This is at least 4/5 of all teenagers that live in geotown.What is the maximum number of teenagers who live in geotown?

Answers

Let x = the number of teenagers in Geotown.

At least 4/5 of x equals 210. Therefore
(4/5)x ≥ 210
Multiply each side by 5.
4x ≥ 210*5 = 1050
x ≥ 1050/4 = 262.5

Because x ≥ 262.5, therefore x = 263 (x must be an integer).

Answer: 263

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