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Mr. Baldwin is packing the shipping Box with ring boxes that are cubes with an edge of 32" if he completely fills the shipping Box how many ring boxes can he ship
Answer: We need to know the dimensions of the shipping box to determine how many ring boxes can fit inside.
Assuming that the shipping box is a cube with edge length of 1 meter (which is a common size for shipping boxes), we can find the number of ring boxes that can fit inside as follows:
The volume of the shipping box is (1 m)^3 = 1 m^3.
The volume of each ring box is (0.032 m)^3 = 3.2768 x 10^-5 m^3.
To find the number of ring boxes that can fit inside the shipping box, we can divide the volume of the shipping box by the volume of each ring box:
1 m^3 / 3.2768 x 10^-5 m^3 ≈ 30,517.57
Therefore, Mr. Baldwin can ship approximately 30,517 ring boxes inside the shipping box, if he completely fills it.
Step-by-step explanation:
Suppose you are driving. You notice that after driving for 4 hours, you are 175 miles from Seattle. You continue driving, and calculate that after driving 6 hours you are 255 miles from Seattle.
Required:
a. What was your rate of travel between these two observations?
b. How far from Seattle are you after driving for 17 hours?
Which number is equal to 74×7−3 ?
Answer:
515
Step-by-step explanation:
Answer:
511
Step-by-step explanation:
ur mom
helpppp pls. Rotate traingle TUV 90 degrees clockwise around the origin
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the number of pounds of limes and let p be the number of pounds of pears.
The system of linear equations that models this scenario is:
l + p = 9
0.5l + 1.5p = 9.5
How many pounds of each type of fruit did she buy?
Answer:
4 pounds of lime and 5 pounds of pears
Step-by-step explanation:
I + P = 9
0.5l + 1.5P = 9.5
I = 9 - P
0.5(9 - P) + 1.5P = 9.5
4.5-0.5P + 1.5P = 9.5
4.5 + P (1P) = 9.5
P = 9.5-4.5 = 5
I = 9 - 5 = 4
Answer: 4 pounds of lime and 5 pounds of pears
a ball is thrown up vertically. after t seconds, it's height (in feet) is given by the function h (t)=96t-16t^2 . after how long will it reach its maximum height
The time taken to reaches its maximum height is 3s.
In the question,
It is given that,
Height, h(t) = \(96t - 16t^{2}\)
The maximum value of the function is obtained if the first derivative of the function h (t) = 0.
\(\frac{dh(t)}{dt} = 96 - 32t = 0\)
⇒ \(t = 3\)
So, time taken to reach its max height is 3 seconds.
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A snail is 20 inches above the ground. It slips down 6 inches and then creeps up 12 inches. What is the snail's height now?
Answer:
26
Step-by-step explanation:
20 inches minus 6 inches plus 12
20-6=14
14+12= 26
Answer:
26
Step-by-step explanation:
20-6=14
14+12=26
Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?
Answer: B.) 43
I just did it on usatestprep and I got 43
Step-by-step explanation:
The solution is Option B.
The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M = 46 minutes
The time it took for Diane to complete her route on Thursday be T
Now , the total time for all the 7 days be represented as S
And , the value of S is
S = 58 + 39 + 42 + 46 + T + 49 + 45
S = 279 + T
Substituting the values in the equation , we get
Mean = Sum of Values / Number of Values
46 = ( 279 + T ) / 7
Multiply by 7 on both sides of the equation , we get
322 = 279 + T
Subtracting 279 on both sides of the equation , we get
T = 322 - 279
T = 43 minutes
Hence , the value of T is 43 minutes
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Which of the following are consistent with the
guidelines for hitching trailers?
Trailers must be connected to the tow vehicle before loading.
Loads cannot exceed the maximum payload of 1,750 pounds.
Loads cannot exceed the maximum payload of 3,000 pounds.
Customer vehicles must have at least a frame mounted Class 3 receiver hitch
with a 2" or 2 5/6" ball.
The statement that are consistent with the guidelines for hitching trailers are:
A. Trailers must be connected to the tow vehicle before loading.
D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.
Guidelines for hitching trailers?Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.
Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.
Therefore the correct option is A and D.
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Helpppppp!.!.!.!.!.!.!.!.!.!!.
Answer:
~ 84 cm of the pop in the poster ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
7 = 1 ⇒ x - centimeters of the pop in the poster
x 12
2. Now let us cross multiply, and solve through simple algebra for x:
7 * 12 = x,
x = 84 centimeters of the pop in the poster
Can anyone help me solve for x and y
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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Water is pumped out of the conical tank with vertex down and radius 8 ft and height 20 ft. If the volume is decreasing at a rate of 4 ft^3sec :
how fast is the depth of the water decreasing when the water is 9 ft deep? (Note: Don't approximate the answer and state its exact value in terms of π.)
It took approximately 151 seconds to decrease 9 ft water in conical tank.
The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h
When the water is 9 ft deep
= (1/3) ×3.14×(8)²×(9)
= 602.88 ft³
We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:
Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec
= 602.88/4
= 150.72 sec
Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.
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Whoever answers correctly gets brainlist.
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsWhich reason best describes why you can divide any number by 1,000
1,000
by moving the decimal point three places to the left?
CLEAR CHECK
Moving the decimal point three places to the left makes the number 11,000
1
1,000
of its original value.
Dividing by 1,000
1,000
is the same as removing a zero.
Dividing a number by 1,000
1,000
is the same as subtracting the number 1,000
1,000
times.
Moving the decimal point makes the number smaller.
Answer:
1 one
Step-by-step explanation:
just because
length of a rectangle is 3 times its width. If the length is 9cm what is the area of the rectangle
Answer:
I think it's 27
because length is 3 times its width
Find the 11th term of the geometric sequence 7,35, 175, ...
Answer:
68,359,375. Using a calculator, you can multiply each new number by 5.
11th term of the given geometric sequence is \(a_{n}= 7(5^{n-1})\)
What is Geometric sequence?In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Given geometric sequence = 7,35,175,..
Nth term of the geometric sequence \(a_{n}=a_{1}.r^{n-1}\)
\(a_{1}=7\)
\(r=\frac{35}{7}=5\)
Nth term of the geometric sequence
\(a_{n}= 7(5^{n-1})\)
Hence, the Nth term of the given geometric sequence is \(a_{n}= 7(5^{n-1})\)
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convert 89hr to: __ days + __ hr = __ (decimal) days
Answer:
3 days, 7 hours, 3.7 decimal days
Step-by-step explanation:
9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
What is the value of the expression below when x=7x=7? x^2+9x-10
Answer:
Step-by-step explanation:
(16y ⁵/ 4y³) ¹/2 simplify expression
2y
Step-by-step explanation:
16y^5-3/4)
16y²/4)
4y²)1/2
2y
In the diagram below, GPK = 18x + 5 and KPH = 14x + 15. Solve for the measure of angleGPK.PH
We can say that the two triangles are identical, then, the angle GPK is equal to the angle KPH, then we write the following equation:
\(\begin{gathered} \angle GPK=\angle KPH \\ \\ 18x+5=14x+15 \\ \\ 4x=10 \\ \\ x=\frac{10}{4}=\frac{5}{2}=2.5 \end{gathered}\)Now we know the value of x, we can return to the equation and find the value of the angle GPK
\(\begin{gathered} \angle GPK=18x+5 \\ \\ \operatorname{\angle}GPK=18\cdot\frac{5}{2}+5 \\ \\ \operatorname{\angle}GPK=9\cdot5+5 \\ \\ \operatorname{\angle}GPK=45+5 \\ \\ \angle GPK=50 \end{gathered}\)Therefore, the measure of the angle GPK is equal to 50 degrees
Please help! Due very soon! help ASAP!!!
Answer:
B and C
Step-by-step explanation:
A, when x = 0, y = 5
B, when x = 4, y = 3
C, when x = 12, y = -1
D, when x = 1, y = 9/2
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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15. Kate has 63 pens. She gives all the pens to her 9 friends. Each friend gets
the same number of pens.
Kate said that when she divided the number of pens that each friend got by 9,
the answer was equal to 63. Her friend Margo said that when the number of
pens each friend got was multiplied by 9, the answer was equal to 63.
Which girl is correct? Explain your answer. I will mark as brainlist and vote if you answer
The girl which is correct between kate and her friend Margo is Margo.
The correct answer option is option B
How to multiply?Number of pens Kate has = 63Number of Kate's friends = 9If each friend gets the same number of pens;
Number of pens each friend get = Number of pens Kate has / Number of Kate's friends
= 63 / 9
= 7
Check:
Number of pens each friend get × Number of Kate's friends = Number of pens Kate has
7 × 9 = 63
Therefore, Kate's friend, Margo is correct.
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The sum of Lance's and Chad's ages is 27 years. Chad is 6 years younger than twice Lance's age. Let l represent Lance's age, and let c represent Chad's age. This situation can be represented by the system l+c=27 and c=2l−6 . Find the age of each person.
The age of Lance and Chad are 7 years and 20 years respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let age of Lance's is = L
Age of Chad's = C
Given that The sum of Lance's and Chad's ages is 27 years. Chad is 6 years younger than twice Lance's age.
The system of equations that represents this situation is;
L + c = 27
C - 6 = 2L
2L - c = -6------ (1)
Therefore,
⇒ ( 2L - c ) + (L + c) = 21
⇒ 3L = 21------- (2)
L = 7
C = 20
Therefore the age of each person;
7 years and 20 years
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On a field trip, the ratio of adults to students is 1:8. Which of the following statements about the field trip must be true? (A) A total of 9 people went on the field trip. B. The total number of people on the trip is a multiple of 8. C. There were 7 more students than adults on the field trip. D. There were 8 times as many students as adults on the field trip.
Answer:
B
Step-by-step explanation:
The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).
A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.
C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.
D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8