A box 2 m by 4 m by 8 m is filled with cubes of volume 8 cm³. If these
cubes were lined up, how long a line would that be?
The total line length of cubes lined up would be approximately 1.6 x 10^7 cm.
To find the total line length of cubes lined up, we need to find the total number of cubes in the box and then multiply it by the side length of a cube.
We can find the total number of cubes in the box by dividing the volume of the box by the volume of a cube:
Volume of the box = 2 m * 4 m * 8 m = 64 m³
Volume of a cube = 8 cm³ = 8 x 10^-6 m³ (converting the cm³ to m³)
Number of cubes = 64 m³ / 8 x 10^-6 m³ = 8 x 10^6
Then we can multiply the total number of cubes with the side length of a cube to find the total line length of cubes lined up :
Therefore, Line Length = 8 x 10^6 * 8 cm
= 6.4 x 10^7 cm
= 1.6 x 10^7 cm.
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Solve the system. y = -x + 3 and y = 2x
the solution is (__,__).
Explain your choice of method.
Answer: (1, 2)
which means
x = 1
y = 2
Step-by-step explanation:
y = -x + 3
y = 2x
Because both equations are set equal to y, they can be set equal to each other. The equations are ready to go to use Substitution method.
Substitute.
-x + 3 = 2x
Add x to both sides.
3 = 3x
Divide by 3.
3/3 = x
1 = x
We can put the 1 in for x in either equation.
y = 2x
y = 2(1)
y = 2
Putting x for 1 into the other equation is a good check.
y = -x + 3
y = -1 + 3
y = 2
So the x and y that work in both of these equations is:
x = 1 and y = 2
The form that was asked for was ( , ).
So the answer is
(1, 2).
Answer: 1, 2
Step-by-step explanation:
Enter the correct sum in each box. Use the number line to help you.
(A) 4.6 + (–5.9)
_________
|_________|
(B) –4.4 + 6.2
_________
|_________|
(C) 2.1 + 0.5
_________
|_________|
(D) –3.8 + (–1.3)
_________
|_________|
Answer:
(A) 4.6 + (–5.9)
-1.3
(B) –4.4 + 6.2
1.8
(C) 2.1 + 0.5
2.6
(D) –3.8 + (–1.3)
-5.1
Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1
Answer: d
Step-by-step explanation:
it’s common sense add the 1 take ur cat to dinner and lake house horse shoe
ALEKS: Teresa is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could she order?
Thanks!
(and just a heads up, I'm gonna be asking a whole lot of questions from ALEKS)
Answer:She could offer 8 different ice cream desserts
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2 x 2 x 2 = 8
Please I need help w/ this question!
Answer:
Marissa did not change the direction of the inequality sign.
Step-by-step explanation:
Hello!
We can solve the inequality as well, and compare our steps to Marissa's to verify her steps.
Solve the inequality:[tex]-\frac x{12} > 7.8[/tex][tex](-12)\frac{x}{-12} > 7.8( -12)[/tex][tex]x < -93.6[/tex]We have the same number, but a different inequality sign. This is because we have to flip the inequality sign when multiplying and dividing by a negative number.
Therefore, the answer is the last option, Marissa has to flip the inequality sign when multiplying by a negative number.
Write a decimal ;twenty three hundredths
Answer:
0.23
Step-by-step explanation:
i know math
Find the lower quartile and upper quartile of the data set. 10, 11, 13,18,19,21,22,25,27,30,32
The lower quartile value is 13 and the upper quartile value is 27.
What is a Quartile?
A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).
We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.
So we will divide the above set into two equal halves. As the given set has 11 terms,
So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.
We have n=11
⇒ Median= [tex]\frac{11+1}{2}[/tex] th term
= 6th term
⇒ Median= 21
Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.
The data to the left of median value 21 is 10,11,13,18,19.
The median value of this data will give the lower quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
=13
⇒Lower quartile is 13.
The data to the right of the median value 21 is 22,25,27,30,32
The median value of this data will give the upper quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
= 27
⇒Upper quartile is 27.
The correct answer is lower quartile= 13, upper quartile = 27
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can anyone help answer this question?
it's shown on the picture below. :)
Answer:
The correct graph is A.
Step-by-step explanation:
-4x/5-13/5 ≥ -9
Multiply the entire equation by 5:
-4x-13 ≥ -45
Moving the -4x:
-13 ≥ -45+4x
Moving the -45:
32 ≥ 4x or 4x ≤ 32
So:
x ≤ 8
The correct graph is A.
The answer would be graph A that describes the solution set.
Out of 75 students, 45 students said that their favorite ice cream flavor was chocolates. what percentage of students like chocolate ice cream the best?
Answer: 60%
Step-by-step explanation: just do 45/75 and you get 0.6
Answer: 60
Step-by-step explanation:
multiply
What is m\_JKL in the diagram below
JKL is the other angle in the corner. That square means its a 90 degree angle.
So, to find the other angle, subtract 28 from 90
62
Angle JKL = 90° - 28° = 62°
Is y = 6x - 4 proportional
Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Explain to me like I’m a dummy
Answer:1125
Step-by-step explanation:
you will take and times 225 by 5 to get the answer
PLEASE HELP! I WILL GIVE BRAINLY!! (if u troll ill report!)
A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data:
Answer:
Using linear interpolation on the interval [15,23] that would be
9.5 + (22-15)/(23-15) * (11.9-9.5) = 11.6
That is, since 22 is 7/8 of the way from 15 to 23, he should produce a value 7/8 of the way from 9.5 to 11.9
The correct answer is 11.9
I took the test, this is my third time answering this question.
I explained everything but all got erased, anyways the answer is 11.9
Question content area top
Part 1
Which of the following expressions is equivalent to 12x32x13?
Question content area bottom
Part 1
Select all that apply.
A.
10x16
B.
2(7x5)
C.
17x13
D.
14x16
E.
14x10
88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
Answer:
The total number of students in the student body is 110. The part is 88 students, the whole is 110 students, and the percent is 80%.
Step-by-step explanation:
find rate of change AND initial value
Answer: (1,2) and or (-1.-2)
Step-by-step explanation:
if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last
pls help with the IQR
Answer: I believe the IQR could be 2.
Step-by-step explanation: 11 - 9 = 2.
It's been a while since I done this but i'm pretty positive this is right.
PLS HELP: GCSE QUESTION!!!
(see image)
Answer: (b>4)÷3
Step-by-step explanation:
A is 3 times as smaller as b which is (b>4)
explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the whole
PLEASE EXPLAIN. DONT GIVE THE ANSWER,, GIVE AN EXPLANATION
Julia's service charge at the salon was $72.60. If she added 20% for tip, how much did she pay total for her service at the salon?
well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]
can anyone help me out with this?
Answer:
Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40
Step-by-step explanation:
Solution for 1 to 4 are shown in the graph in the attachment.
Bold = Answer
Equivalent fractions
5.
6/8 = x/32
32/8 = 4
x = 6 * 4 = 24
6.
4/6 = x/12
12/6 = 2
x = 4 * 2 = 8
7.
1/8 = x/56
56/8 = 7
x = 1 * 7 = 7
8.
9/12 = x/4
12/4 = 3
x = 9/3 = 3
9.
5/9 = 25/x
25 / 5 = 5
x = 9 * 5 = 45
10.
5/6 = 20/x
20 / 5 = 4
x = 6 * 4 = 24
11.
36/45 = 12/x
36/12 = 3
x = 45 / 3 = 15
12.
20/36 = 10/x
20/10 = 2
x = 36/2 = 18
Multiples
13.
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
3 * 4 = 12
3 * 5 = 15
3, 6, 9, 12, 15
14.
7 * 1 = 7
7 * 2 = 14
7 * 3 = 21
7 * 4 = 28
7 * 5 = 35
7, 14, 21, 28, 35
15.
8 * 1 = 8
8 * 2 = 16
8 * 3 = 24
8 * 4 = 32
8 * 5 = 40
8, 16, 24, 32, 40
Look at the graph of a function below.
Which set builder notation represents the domain of the function in the graph?
A. {y|−1≤ y ≤ 3}
B. {y|1 ≤ y ≤ 9 }
C. {x|−1 ≤ x ≤ 3}
D. {x|1 ≤ x ≤ 9}
Answer:
A. {y|−1≤ y ≤ 3}
Step-by-step explanation:
because
CREATE THE TABLE
a. you bring 200 cookies to a party. Let n represent the number of people at the party and c represent the number of cookies each person receives
b. you work at a restaurant for 20 hours. let r represent your hourly pay rate and p represent the total amount you earn
c. you are going on a 240-mile trip. Let t represent the number of hours driving and s represent the speed of the car
The expression for the following statements are,
a. c = 200/n.
b. p = 20r.
c. s×t = 240.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
a. From the information given the numerical form of the statement is,
c = 200/n.
b. From the information given the numerical form of the statement is,
p = 20r.
c. From the information given the numerical form of the statement is,
s×t = 240.
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A pitaya, or a dragon fruit, is a tropical fruit with pink skin and pulp filled with tiny black seeds. The weight of a pitaya seed is 1 x 10-^3 ounce. What is the weight of the pitaya seed in standard form?
Answer:
the answer is 7 beacuse 1×10-"3
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
Jess’s fish hook was 12 feet below the top of the water. He let out some of his line and the hook sunk another 3 feet. What is the depth of the fish hook now?
HELP ME PLEASE
The answer is 15
12 + 3 = 15
Which store has the lowest cost per pound for hamburger? Name of Store Hamburger package sizes (lbs) Cost per package ($) Food King 8.0 pounds $40.00 Thrifty Mart 0.5 pounds $3.00 Shop More 5.0 pounds $35.00 Super Save 1.5 pounds $10.50
-p-11+13
grade 7 math
Answer:
-p + 2
Step-by-step explanation:
Given:
-p - 11 + 13
Question:
Simplify
Work:
Simply just combine like terms
-p - 11 + 13
-p + 2
Solution:
-p + 2
Hope this helped! :D
Answer:-p+
Step-by-step explanation:
60+108b
I'm mad clueless:(
Answer:
168
Step-by-step explanation: