(7 points, A -REL.2.4) A packing company is doing an inventory of boxes. Their most popular box is displayed below. Use the formula for volume of a box, V = lwh. If the volume is 40f * t ^ 3 , find the value of x. Then find the length and width of the box. State any extraneous solutions.
Answers
Answer:
The extraneous solution is x = -5/6
Length = 4 ft
Width = 5 ft
Step-by-step explanation:
Length = 3x - 5 ft
Width = 2x - 1 ft
Height = 2 ft
Volume = 40 ft^3
Volume = length × width × height
40 = (3x - 5)(2x-1)(2)
40 = (6x^2 - 3x - 10x + 5)(2)
40 = 12x^2 - 6x - 20x + 10
12x^2 - 26x + 10 - 40 = 0
12x^2 - 26x - 30 = 0
Divide through by 2
6x^2 - 13x - 15 = 0
Solve using factorization method
(6x + 5) (x - 3) = 0
6x + 5 = 0
6x = -5
x = -5/6
Or
x - 3 = 0
x = 3
The extraneous solution is x = -5/6
Length = 3x - 5 ft
= 3(3) - 5
= 9 - 5
= 4 ft
Width = 2x - 1 ft
= 2(3) - 1
= 6 - 1
= 5 ft
Related Questions
The sum of the first and last of four consecutive integers is 33
Answers
If x is the first integer, then the fourth integer is x + 3. The sum of these is 33, so
x + (x + 3) = 33
2x + 3 = 33
2x = 30
x = 15
Answer:
Step-by-step explanation:
x=15
4x : 3 = 11 : 5
what is the value of x
Answers
Answer: this is the answer
Step-by-step explanation:
Which line is perpendicular to y = 4x + 5?
A. y = -4x + 3
B. y = -1/4x + 6
C. y = x - 4
D. y = 1/4x - 3
Answers
Blank % of 200 miles is 150 miles
Answers
Answer:
75%
Step-by-step explanation:
200/25=50
50*3=150
25*3=75
4(x+2) + 2x = 44
solve for x
Answers
Answer:
x = 6
Step-by-step explanation:
4(x + 2) + 2x = 44
~Distribute left side
4x + 8 + 2x = 44
~Combine like terms
6x + 8 = 44
~Subtract 8 to both sides
6x = 36
~Divide 6 to both sides
x = 6
Best of Luck!
Answer:
Step-by-step explanation:
what is the "y" for -22 = y - 9
Answers
Answer:
y = -13
Step-by-step explanation:
-22 = y - 9
y = -22 + 9
y = -13
Hope this helps!
Answer:
y= -13
Step-by-step explanation:
Isolate the y by adding 9 on each side: -13 = y
Answer: y = -13
I hope this helped, please mark Brainliest, thank you!
Mo walked 12 miles in 3 hours, How far would he walk in 5 hours at this
rate?
Please I need help ASAP
Answers
Answer:
He would walk 20 miles in 5 hours.
Step-by-step explanation:
Mo walked 20 miles in 5 hours.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mo walked 12 miles in 3 hours.
In 1 hour Mo walked= 12/3
= 4 miles
and, in 5 hours Mo walked
= 5 x 4
= 20 miles.
Hence, Mo walked 20 miles in 5 hours.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
help plz answer all no need for expaninations
Answers
second pic: C 1
third pic: D 11
fifth pic:
Answer: C, B, A, D
Step-by-step explanation:
1. option C
f(x) = 2x² - 1
f(-1) = 2(-1)² - 1
= 2(1) - 1
= 2 - 1
= 1
2. option B
f(x) = 2x - 5
11 = 2x - 5
16 = 2x
8 = x
3. option A
f(x) = 2x - 5
f(3) = 2(3) - 5
= 6 - 5
= 1
4. option D
f(x) = x² + 7
f(-2) = (-2)² + 7
= 4 + 7
= 11
5. Question 7 not provided so unable to answer
20 POINTS AND BRAINLIEST
What is the solution to this inequality?
7(2m -3/7 ) < 16m + 7
A. M < -5
B. M > -5
C. M < -52/49
D. M > -52/49
Answers
When you are solving an expression using PEMDAS and you get to Multiplication and Division OR Addition and Subtraction, which direction do you complete operations?
Question 6 options:
Right to Left
However I want to do it - The order doesn't matter!
Top to Bottom
Left to Right
Answers
Answer: Yes, PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first.
Step-by-step explanation
Can you explain to me and the answer plz
Answers
Answer:
what is the question
Step-by-step explanation:
Complete each table for the given sequence. Then write the ordered pair
Answers
Answer:
table will be 7, 11, 15,19
Order pairs will be (1,7)(2,11)(3,15)(4,19)
the fifth term of the sequence will be 23
Step-by-step explanation:
4 (1)+3=7
4(2)+3=11
4(3)+3=15
4(4)+3= 19
4(5)+3=23
Hope this helps
One way we can find the unit rate of a fraction is to subtract the denominator from both the numerator and denominator, True or False?
Answers
Answer:
true
Step-by-step explanation:
Answer:true
Step-by-step explanation:
Solve the inequality and graph the solution on the line provided.
14 + 8x > 30
I bad at math so can someone help me hehe
Answers
Answer:
The inequality notation is x >= 2 (put the line underneath >)
Number line should have a filled in dot on the 2, with an arrow pointing to the right infinitely.
Explanation:
14 + 8x >= 30
8x >= 16
x >= 2
>= is just this symbol (>) with a line underneath it.
Hope this helps!
Can you find the m∠DCA.
Answers
Answer:
D. (116)
Step-by-step explanation:
The angles are congruent. So, we can set them equal to each other.
4x = 6x - 58
58 = 2x
x = 29
Now plug it in for x.
4(29) = 116
what's the answer to the second box that has nothing written in it
Answers
Answer: The answer is 13
Step-by-step explanation:
Hopefully I'm right, sorry if it's wrong..
there are 300 students in 7th grade. Paul takes a random sample to find out which fall sport students in 7th grade prefer. which group of students represents the most valid sample?
Answers
Answer:
A random sample of at least 150 students.
Step-by-step explanation:
If you pick athlets they might pick sports they are biased towards, so the best would be random people so that you don't get a biased answer.
Answer: C = 10 students from each 7th grade homeroom
Step-by-step explanation:
The more students from each homeroom represents a larger population that creates less of a chance for having a bias sample.
84 ounces of liquid detergent
for $10.64
Find the unit rate
Answers
Answer:
.13 cents per ounce
Step-by-step explanation:
divide 10.64 by 84
can someone help me with these questions please?
Answers
Answer:
1. One solution
2. No solution
Step-by-step explanation:
1.Step 1: Subtract 2x from both sides.
5x+3−2x=2x−3−2x
3x+3=−3
Step 2: Subtract 3 from both sides.
3x+3−3=−3−3
3x=−6
Step 3: Divide both sides by 3.
3x + -6
3 2
x=−2
Answer:
1)One solution
2)No solutions
Step-by-step explanation:
To solve this for the first one you should add both sides by three to get the constants on one side.
5x+3+3=2x
Combine like terms.
5x+6=2x
Get x to one side by subtracting 5x on each side.
6=-3x
Solve for x.
x=6/-3 or x=-2
Which means one solution.
To solve the second one you should o all the steps above, but to find:
8=3
Which is not true, so no solutions.
simplify 3c x 5c
show working out
Answers
Answer:
15c
Step-by-step explanation:
3c x 5c =
3 x 5= 15
15c
the easiest way to do this problem is take away the c's in the expression and add them to your answer at the end which you would just be multiplying 5 x3 which = 15 then you would put the c next to the 15 so the answer would be 15c
Assume that the distance from Earth to the moon is exactly 238,855 miles and that it took astronauts 75 hours to reach the moon in 1969. How far did the astronauts travel each hour, on average, during their trip to the moon?
Answers
Answer: They traveled 3,184.733333333333
Step-by-step explanation: Do 238,855 divided by 75 (The three keeps going on forever).
mark the other guy brainliest because he is correct it is B or 3,184.73 (the 3 has a line over it)
238,555 ÷ 75 = 3,184.733333333
°¬°
A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount of
gold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams.
How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How
much gold, in grams, would it take to make b bracelets and n necklaces?
Answers
Answer:
222
Step-by-step explanation:7x6=42 20x9=180 42+180=222
find midpoint and length of line segment that has endpoints (3,5) and (9,-3)
Answers
A cube has a volume of 25 cubic centimeters. What is the length of one side of
the cube?
Answers
Answer:
Edge of a cube (l)=25cm.
⇒ Volume of a cube =(l)3
=(25)3
=25×25×25
=15625cm3
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box? 11 ounces per box 12 ounces per box 15 ounces per box 16 ounces per box
Answers
Answer:
15 ounces per box
Step-by-step explanation:
What is the weight, in ounces, of one box?
165ounces/ 11 boxes
This means
165ounces per 11 boxes
Hence:
11 boxes = 165ounces
1 boxes = x ounces
Cross Multiply
11x = 165 × 1
x = 165/11
x = 15 ounces
Therefore, the weight, in ounces, of one box is 15 ounces per box.
Answer:
15 ounces per box
Step-by-step explanation:
Your mother bought several full packets of eggs. She opened all the packs and kept all the eggs in the fridge. You later counted all the eggs and found there are 46 eggs. One single packet looks as shown below. Do you think shopkeeper cheated your mother? Justify.
Answers
Answer:
Even when the answer is not complete, most likely yes, she was cheated.
Step-by-step explanation:
The question does not include how a packet looks, however since the total egg count is 46 units, this number is only divisible by 2 and 23.
So unless each egg packet contains 2 or 23 eggs, any other size would mean a packet had less eggs than expected.
Usually eggs come in packs of 6 or 12 units, so to sum 46 eggs or more you would need:
If 6 eggs per packet:
46/6 = 7,66 packets -> she must have bought 8 packets and should have 48 eggs, meaning there are 2 eggs missing.
If 12 eggs per packet:
46/12 = 3,83 packets -> she must have bought 4 packets and should have 48 eggs, meaning there are 2 eggs missing.
That's why it is safe to assume some packets had less eggs than expected.
7b - 9b + 3 + 4b
what is the answer to this problem
Answers
2b + 3
Step-by-step explanation:
Combine like terms
7b -9b = -2b
-2b +4b =2b
2b +3 = 2b+3
Your father gave you $15 with which to buy a present. This covered 5/9 of the cost. How much did the present cost?
Answers
Answer:
27
Step-by-step explanation:
in order to find the awnser, you must divide 15 by 3 in order to get the starting number. You got dat
x + 5
3x + 10
А
B
с
Find the value of x, then find AB, AC, and BC.
x + 51
Answers
Answer:
2 is the correct answer yes
idk what it does but I selected the thing to make it say 100 idk if it takes 100 points but it don't matter because I have over 20,000 points
Answers
Answer:
ok
Step-by-step explanation:
Answer: okay, thanks boy!
Step-by-step explanation: