What is the maximum number of rectangular blocks measuring 2 by 3 by 4 that can
fit into a box measuring 12 by 21 by 40?
Volume of small box :
[tex]v=l\times b\times h\\\\v=2\times 3\times 4\\\\v=24\ units^3[/tex]
Volume of big box :
[tex]V=L\times B\times H\\\\V=12\times 21\times 40\\\\V=10080\ units^3[/tex]
Number of small boxes that can fit into bigger box :
[tex]n=\dfrac{V}{v}\\\\n=\dfrac{10080}{24}\\\\n=420[/tex]
Therefore , 420 such boxes can fit .
Hence , this is the required solution .
Your temperature is 99 degrees during first period. By 7th period,your temperature is 102 degrees. How many degrees did your temperature change? Should you be at school.?
Given :
Temperature at first period , [tex]T_1=99^oF[/tex] .
Temperature at seventh period , [tex]T_7=102^oF[/tex] .
To Find :
The change in temperature .
Solution :
We know , change in temperature is given by the difference between final and initial temperature .
[tex]\Delta T=T_7-T_1\\\\\Delta=(102-99)^oF\\\\\Delta=3^oF[/tex]
So ,the change in temperature is [tex]3^oF[/tex] .
Now , the average body temperature of human body is [tex]98.6^oF[/tex] and [tex]100.4^oF[/tex] is considered a fever .
Therefore , we should not be in school and take rest .
Hence , this is the required solution .
can someone please help it’s for dance class not mathematics
i needdd helppppppp plsss
Answer:
3
Step-by-step explanation:
3 - 6 = -3Plug -3 in: [tex]-\frac{12}{-3} + (-1)^{3}[/tex] Simplify the fraction. Two negatives equal a positive. It should now look like this: [tex]\frac{12}{3} + (-1)^{3}[/tex] Simplify even more. Divide 12 by 3, and change -1 to a positive by removing the plug sign: [tex]4 - 1^{3}[/tex] [tex]1^{3} = 1[/tex] Plug 1 in: 4 - 14 - 1 = 3I hope this helps!
If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?
A. 1/2
B. 1/4
C. 1/8
D. 1/16
E. 1/32
Answer:
1/16
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,
[tex]\rm Probability = \dfrac14 \times \dfrac14 \times \dfrac14 \times \dfrac14 = \dfrac1{16}[/tex]
Hence, the probability that all four pennies will be tails is (1/16).
Learn more about Probability:
https://brainly.com/question/795909
#SPJ2
While on vacation, you rent a bicycle. You pay $9 for each hour you use it. It costs $5 to rent a helmet while you use the bicycle.
Answer:
[tex]Rental\ Cost = 9 n + 5[/tex]
Step-by-step explanation:
Question is incomplete; See Attachment
Required
Complete the table
To complete the table, we simply substitute n for 1,2 or 3
So: The rental cost, when the hours is n is as follows;
[tex]Rental\ Cost = 9 * n + 5[/tex]
[tex]Rental\ Cost = 9 n + 5[/tex]
PLEASEEEE help me on 3 4 & 5. it’s due before midnight
Answer:
See below
Step-by-step explanation:
When changing from scientific notation to standard, you want to look at the exponent.
If exponent is positive, move decimal that many times to the right.
If negative, move to the left.
7.875 x 10^4
Exponent is positive so move to the right.
78750
4.53 x 10^-4
Exponent is negative so move to the left.
0.000453
8.9 x 10^-7
Exponent is negative so move to the left
.00000089
Parker signed up for a streaming music service that costs $6 per month. The service
allows Parker to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Parker have to pay in a month in which he downloaded 50 songs? How much would
he have to pay if he downloaded s songs?
Answer:
Parker will have to pay $31 in a month in which he downloaded 50 songs.
Total amount Parker will pay for s songs = 6 + 0.50s
Step-by-step explanation:
Cost per month = $6
Cost of Offline download = $0.50 per song
A. How much total money would
Parker have to pay in a month in which he downloaded 50 songs?
Total amount Parker will pay = $6 + $0.50(50)
= 6 + 25
= $31
Parker will have to pay $31 in a month in which he downloaded 50 songs.
B. How much would
he have to pay if he downloaded s songs?
Total amount Parker will pay for s songs = $6 + $0.50 * s
= $6 + $0.50s
Total amount Parker will pay for s songs = 6 + 0.50s
∆PQR has vertices P(5, –2), Q(1, –4), and R(3,3).Reflect ∆PQR about the y-axis, translate 4 units down, and reflect about the x-axis.
Answer:
P(-5,6) Q(-1,8) R(-3,1)
Felicia took out a $5,000 loan to buy a car. If the interest is compounded annually at a rate of 11%, how much will she pay in all?
PLEASE HELP
Answer: 550
Step-by-step explanation: 5,000x11%=550
Solve the equation for the variable specified. df + 10h = 3 Solve for d. A. d 3= 10h f B. d. 3- 10h f C. d = 3 - 102 D. d = f(3 – 10h)
Answer:
Step-by-step explanation:
d= (3-10h)/f
6)
You and your family attend your brother's championship baseball game. Between innings you decide to go to the snack stand. You
go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the
number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?
Math
Answer:
..2.50x + 3.75x = 15..
Step-by-step explanation:
i think
HELPP me please? It’s due today
Answer: same-side interior angles
Step-by-step explanation:
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
I
1
The square root of 5 will be classified as what according to the real
number system?
*
Real, irrational
Real, rational, integer
real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number
Answer:
irrational number
Step-by-step explanation:
The square root of 5 belongs to a long list of irrational algebraic number. It has been categorized in such list because the square root of 5 cannot be expressed as a fraction and has an infinite number of
Help please!!! Thank you
Answer:
multiply 45×20×15
Step-by-step explanation:
you can use calculator
A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.
input 1 2 3 4 n
output 11 14 17 20
Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the ruler between 3 and 4)
Answer:
3 1/2
Step-by-step explanation:
Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would
it take to travel 765 miles?
Answer:
15 hrs.
Step-by-step explanation:
204/4 = 51 miles per hrour
765/51 = 15 hrs.
Answer:
15
Step-by-step explanation:
I ad this on my hw last week got it right
Solve for n 19 + 10n = 7n - 20
Answer:
n = -13
Step-by-step explanation:
19 + 10n = 7n - 20
Subtract 7n from each side
19 + 10n-7n = 7n-7n - 20
19+3n = -20
Subtract 19 from each side
19+3n -19 = -20-19
3n = -39
Divide each side by 3
3n/3 = -39/3
n = -13
160+3x=195-2x what is the answer
Answer:
x = 7
Step-by-step explanation:
160+3x=195-2x
Add 2x to each side
160+3x+2x=195-2x+2x
160 +5x = 195
Subtract 160 from each side
160+5x-160 = 195-160
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
PLASE HELPpp it’s due before midnight. change to scientific notation
Q1: 9.6 x 10'7 =
Q2: 2 x 10'-6 =
Answer: Q1: 9.6e7
Q2: 2e-6
Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers. Hope this helped!!!
X-5(x-1)=x-(2x-3) what does it equal
Answer:
[tex]x = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]x - 5(x - 1) = x - (2x - 3) \\ x - 5x + 5 = x - 2x + 3 \\ x - 5x + 2x - x= 3 - 5 \\ - 3x = - 2[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
the sum of 32 and w
Please help ASAP
Answer:
Verbal expression; The sum of thirty -two and a number w
Algebraic expression ;32+w
Step-by-step explanation:
if the whole numbers are added the sum would be
113.5+22.41
I really don't get it plz help
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
PLEASE HELP! oooooo
Answer:
The missing value is 41.
Step-by-step explanation:
If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.
Answer:
41
Step-by-step explanation:
because 1=3 so 12=41
hope that helped!
-8.68 divided -0.024
Answer:
-8.704
Step-by-step explanation:
hav a great day
Answer:
1085/3 = 361.7
Step-by-step explanation:
Expand −8.68/0.024 ≈361.666666667 by multiplying both numerator and the denominator by 1000.
8680/-24 ≈361.666666667
Reduce the fraction −8680/24≈361.666666667 to lowest terms by extracting and canceling out −8.
1085/3≈361.7
Which table has a constant of proportionality between y and x of 8/5
Answer:
Table 1
Step-by-step explanation:
Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.
Table 1:
4 32/5
10 16
11 88/5
Let's find the constant of proportionality for each row:
R1: (32/5) / 4 = 8/5
R2: 16/10 = 8/5
R3: (88/5) / 11 = 8/5
Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.
If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.
Hope this helps!
Answer:
Table 1
Step-by-step explanation:
I just did it on Khan Academy
Micheal is 5 years older than Rui Feng and Vishal is thrice as old as Micheal if Rui Feng is p years old, find i) Michael's present age, ii) Vishal's present age, ii) the sum of there age in 6 age years time, iv) the sum of their ages 3 years ago.
Answer:
Michael's present age = p + 5
Michael's present age = 3p + 15
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = 5p - 11
Step-by-step explanation:
Assume;
Age of Rui Feng = x
Age of Micheal = x + 5
Age if Vishal = 3[x+5]
Given:
Age of Rui Feng = P
Computation:
Michael's present age = Age of Rui Feng + 5
Michael's present age = p + 5
Vishal's present age = 3[p + 5]
Michael's present age = 3p + 15
Sum of there ages 6 year age = [p + 6] + [p + 5 + 6] + 3[p + 5] + 6
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = [p - 3] + [p + 5 - 3] + 3[p + 5] - 3
Sum of there ages 3 year ago = 5p - 11
Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9, - 1).
a. y = -9x - 82
c. y = -9x + 82
b. y = 82x-9
d. y = 9x-82
Answer:
Step-by-step explanation:
y + 1 = -9(x + 9)
y + 1 = -9x - 81
y = -9x - 82
answer is A