a storage bin in the corner of joes room has the dimensions shown below.
what is the volume of the bin?
Answer:
26^3 ft is what i got.
5ft x 5ft x 2ft = 50ft
3ft x 4ft x 2ft = 24ft
50ft - 24ft = 26ft
Answer:
36 ft³
Step-by-step explanation:
Formula of a rectangular prism :
Volume = Length x Width x Height
Volume of the bin :
Volume of the smaller part + Volume of the larger part3 x 2 x 2 + 6 x 2 x 26 x 2 + 6 x 412 + 2436 ft³what is the area of triangle DOG?
Answer:
I believe it would be 15, apologies if its incorrect.
Step-by-step explanation:
3x-4y=0 2x+y=110 no solution
Answer:
(x, y) = (40, 30)
Step-by-step explanation:
A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.
__
An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:
y = 110 -2x . . . . . . subtract 2x from both sides
Using this in the first equation gives ...
3x -4(110 -2x) = 0 . . . . substitute for y
11x = 440 . . . . . . . . . simplify, add 440
x = 40 . . . . . . . . . . divide by 11
y = 110 -2(40) = 30
The solution is (x, y) = (40, 30).
Solve the system of equations graphically. Then classify
the system as consistent or inconsistent and the
equations as dependent or independent.
5x - y = 7
5x+6y= -7
Answer:
They are consistent and independent
Step-by-step explanation:
Consistency
If two lines have an intersection point, they are said to be consistent. For example, two parallel lines do not have an intersection and therefore they are inconsistent.
In the problem, the two lines intersect at (1, -2) so they have a unique solution and therefore consistent.
Dependency
Two lines are said to be independent if one of them cannot be written as an integer multiple of the other. Or, in other words, if the slope-intercept form of both equations have different slope and y intercept
Note: slope-intercept form of an equation is y = mx + c where m is the slope and c the y intercept
Line 1: 5x - y = 7 can be written as y = 5x - 7 which has slope +5 and y intercept -7
Line2 : 5x + 6y = -7 can be re-written as y = (-5/6)x - (7/6). This has slope -5/6 and y intercept -7/6
Since slope and intercepts of both lines are different they form a system of independent equations
1
James purchases a rare coin for $450. The coin appreciates at a rate of 1.2% each year. How much will the coin be worth after 25 years?
16+ y =24
What is the value of y?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
16+y=24, What is y?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.
Since we have numbers on both sides, we need to move all of them to one side:-
[tex]\tt{16+y=24}[/tex]
[tex]\tt{y=24-16}[/tex]
[tex]\tt{y=8}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
An item has a listed price of $30 . If the sales tax rate is 9% , how much is the sales tax (in dollars)?
Answer:
2.7$
Step-by-step explanation:
1. The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2kg. Given that
information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A. Compare the masses of the two samples to decide who is correct. State which person is correct and
explain your answer using mathematics.
Answer:
Given:
[tex]\textsf{Mass of Sample A}=2.4 \times 10^{-2}[/tex][tex]\textsf{Mass of Sample B}=3.6 \times 10^{2}[/tex]As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.
Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):
[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]
To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:
[tex]\implies 1.5000 \times 10^4=15000[/tex]
(If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).
Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.
A shirt on sale for 25%off. Sandy paid 7.50 for the shirt. What was the shirts regular price
£10
Step-by-step explanation:
firstly what you have to do is
since the percentage is decreased
we will say 100 - 25% = 75%
then we say 7.50/75% = 10
So we know that the original price was
£10 pounds
As 10- 25%= 7.5
The shirt's regular price is 10.
Given,
A shirt on sale for 25%off.
Sandy paid 7.50 for the shirt.
We need to find the regular price.
The regular price is the same as the selling price.
We have,
Regular price = Paid price + offer discount%
offer discount = 25%
Paid price = 7.50
If after 25% off Sandy paid 7.50 which means Sandy paid only 75% of the price.
The regular price is always 100%
= Paid price + offer discount%
= 75% + 25%
So we have,
75% = 7.5
Multiplying 25/75 on both sides.
25/75 x 75% = 7.5 x 25/75
25% = 2.5
We see that the offer discount is 2.5.
We have,
Regular price = Paid price + offer discount%
= 7.50 + 2.5
= 10
Thus the shirt's regular price is 10.
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Please help me, I need it asap
Answer:
70°Step-by-step explanation:
We can see that
111 and A are of same value as vertical anglesThe angle formed by intersecting chords measures the half the sum of intercepted arcs.
[tex](152 + ?)/2=111 \\152 + ? = 2*111\\152 + ? = 222\\? = 222 - 152\\? = 70[/tex]A certain test is worth 125 points. How many points (round to a whole
number) are needed to obtain a score of 85%? Enter only the number
without units.
Answer:
106
Step-by-step explanation:
Work out the sheet below
Answer:
It might be 235.62
Step-by-step explanation:
Answer:
[tex]235.6\ cm^3[/tex]
Step-by-step explanation:
Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]
[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]
Jackie is a student of UEW. This year, her age is a multiple of 6. Next year, her age will be a multiple of 5. If Jackie is younger than 40, how old will she be next year?
Using the multiples of 5 and 6, it is found that she will be 25 years old next year.
What are the multiples of 5 and 6?They are given as follows, considering numbers less than 40:
M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.
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i need help with 7th grade math please 30 points need help ASAP
Answer:
Area = 210
Step-by-step explanation:
Given:
Base = 15Height = 14To find:
Area of parallelogramSteps:
A = b · h
= 15 · 14
= 210
Answer:
210 yd²
Step-by-step explanation:
Area of a parallelogram :
A = bhSolving using the given values :
A = 15 x 14A = 210 yd²PLSS HELP ME WITH THIS 25 POINTS! How much does Janet make in 25 hours?
The temperature fell 3.25 degrees every hour. Find the change in temperature after 5 hours
Answer:
The temperature would fall by 16.25°
Step-by-step explanation:
If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.
From this data, how many male, female, adult, and baby mountain goats do you predict are in the park
Answer:
See below ~
Step-by-step explanation:
Part A
Male elk = 105/450 = 7/30Female elk = 120/450 = 4/15Adult elk = 173/450Baby elk = 52/450 = 26/225Part B
Male elk = 7/30 = 0.233 = 23.3%Female elk = 4/15 = 0.267 = 26.7%Adult elk = 173/450 = 0.384 = 38.4%Baby elk = 26/225 = 0.116 = 11.6%Someone help ASAP please !! I’ll vote Brainliest !
Answer:
2nd row
Step-by-step explanation:
The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).
What multiplication problem is represented by this grid?
The multiplication problem represented by this grid is 0.7 x 0.4 = 0.28
Sure hope this helps you
please help please please help
Answer:
3:2
Step-by-step explanation:
8. There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and 3rd place. How many combinations of winners can there be?
220
1320
1728
360
Answer:
1728
Step-by-step explanation:
When there is 3 places you have to sqaure 12 by 3
12^2= 144
144*12= 1728
Hope this helps.
You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you choose 4 of these at random to arrange on a shelf, what is the probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left?
The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30
How to determine the probability?The distribution of the books is:
Spanish, English, Chemistry, Geometry, History, and Psychology
The probability of choosing a Geometry book is:
P(G) = 1/6
Now, there are 5 books left.
The probability of choosing a Chemistry book is:
P(C) = 1/5
The required probability is:
P = 1/6 * 1/5
Evaluate
P = 1/30
Hence, the probability is 1/30
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Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.
According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.
How to calculate the percentage of students who received the requested classes?To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:
144 ÷ 100 = 1.44
64 ÷ 1.44 = 44.44%
According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.
To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.
356 ÷ 100 = 3.56
315 ÷ 3.56 = 88.48%
According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.
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hail 0.5 inch deep and weighing 1800 pounds covers a roof. the hails weight varies directly with its depth. write an equation that relates d and w. then predict the weight on the room of hail that is 1.75 inches deep
In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.
What is the directly proportional relationship?In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.
Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.
Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,
Weight ∝ Depth
W∝D
Introducing the constant to remove the proportionality we will get the equation as,
W = kD
1800pounds = k × 0.5 inches
3600ponds/inches = k
Now, the weight of the roof whose depth is 1.75 inches can be written as,
W = kD
W = 3600 × 1.75
W = 6,300 pounds
Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.
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pretend this is a 20 letter question please help me
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
don't have to answer all just at least 1 pls and write yes if the statement is a proportion or no if it is not a proportion.
2:3 = 9:4
3/8 = 12/32
10/12 = 20/25
4/9 = 17/38
Answer:
3/8 = 12/32 is a proportion
Step-by-step explanation:
2:3 and 9:4 is not a proportion, 10/12 and 20/25 is not a proportion, 4/9 and 17/38 is not a proportion
Math
please help? ;c
Answer:
Answer below :)
Step-by-step explanation:
128 = $76.20132= $77.80134= $78.60144= $82.60
Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60
A carpenter is building a rectangular table. He wants the perimeter of the tabletop to be no more than 28 feet. He also wants the length of the tabletop to be greater than or equal to the square of 2 feet less than its width.
Create a system of inequalities to model the situation, where x represents the width of the tabletop and y represents the length of the tabletop. Then, use this system of inequalities to determine the viable solutions.
A. Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.
B. No part of the solution region is viable because the length and width cannot be negative.
C. The entire solution region is viable.
D. Part of the solution region includes a negative length; therefore, not all solutions are viable for the given situation.
The solution from the system of inequalities is (a). Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.
The system of inequalityLet P represent the perimeter.
So, we have:
P ≤ 28 ---- i.e. perimeter not more than 28y ≥ (x - 2)²The perimeter is calculated using:
P = 2(x + y)
So, we have:
2(x + y) ≤ 28
y ≥ (x - 2)²
Next, we plot the system of inequalities (see attachment)
From the attached graph, we have some negative x values in the shaded region.
This means that not all solutions are viable
Hence, the true statement is (a)
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Find the domain and range of the given relation (6,3), (-7,-3), (-4,1), (1,-4)
Answer:
Step-by-step explanation:
The domain are all the x values
(-7,-3), (-4,1), (1,-4), (6,3)
x here is from -7 to 6
domain ∈ [-7, 6]
The range are all the y values
(1,-4), (-7,-3), (-4,1), (6,3)
y here is from -4 to 3
range ∈ [-4, 3]
The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.
Answer:
3 cm
Step-by-step explanation:
Formula :
Area = 1/2 x Base x HeightGiven :
Area = 7.5 cmBase = 5 cmSolving :
Height = 7.5/5 x 2Height = 3 cm