Manufacturing a company is designing a new rectangular shipping box that must have a
volume of 24 cubic inches. The company has created a box with a width that is 2 inches less
than its length. The height is 5 inches greater than the length. What are the dimensions?
Answer:
3in by 1in by 8in
Step-by-step explanation:
Volume of the box = Length × Width × Height
Given
Volume = 24in³
If the width is 2inhes less than the length
W = L-2... 2
Also if the height is 5 inches greater than the length, then;
H = L+5 ... 3
Substitite 2 and 3 into the formula.
V= LBH
24 = L(L+5)(L-2)
24 = L(L²+3L-10)
24 = L³+3L²-10L
L³+3L²-10L-24 =0
Factorize
The factored form is
(L+2)(L²+L−12) = 0
L²+L-12 = 0
L²+4L-3L-12 = 0
L(L+4)-3(L+4) = 0
(L+4) = 0 and L-3 = 0
L = 3in
W = L-2
W = 3-2
L = 1in
H = L+5
H=3+5
H = 8in
Hence the dimension is 3in by 1in by 8in
Evaluate each expression if a = 6, b=3, and c=2.
1. 6+c
2. a-b
3. 2 c
4. a-1
5. c+4
6. a/b
7. b÷3
8. ab
choices:
8
5
18
1
6
4
3
2
Find the rate of the following:
A. 5 is what percent of 25?
B. 3 is what percent of 12?
C. 1 is what percent of 10?
D. 85 is what percent of 340
E. 7 is what percent of 20?
Please answer this ASAP
Answer: 2x and y= 4+
Step-by-step explanation:
x = 2 times 2 and so on....
y = 4 plus 4 plus 4 etc....
The table of values represents a linear function. For this function, what is the value of y when x = 4?
х
-4
0
4
6
y
3
4
?
5.5
y =
Given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Recall:
Equation of a linear function can be modelled as y = mx + b.m = slope; b = y-intercept.slope (m) = change in y / change in xy-intercept (b) is the value of y at x = 0.Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):
Slope (m) = (4 - 3)/(0 - (-4)) = 1/4
y-intercept (b) = 4 (from the table, when x = 0, y = 4).
Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:
y = 1/4x + 4
Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:
y = 1/4(4) + 4
y = 1 + 4
y = 5.
Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.
Learn more about linear function on:
https://brainly.com/question/24502219
Someone please help me
Answer:
mark this as brainilest8rjf84g54gjfiuvjn
Step-by-step explanation:
rhjvgiu85hhbvjnwudw4
Answer:
Square
Step-by-step explanation:
Least to greasiest. 1.7 17% 1/4
Answer:
17%, 1/4, 1.7
Step-by-step explanation:
Convert each to decimals: 17% = .17, 1/4 = .25, then order from least to greatest
Help me i beg u
.Jessica is making metal sculptures to sell. A metal sculpture costs $24 to make and Jessica sells it to
a retailer for a profit of 175%. If the retailer then marks up the sculpture by another 120%, how
much will it cost someone to buy a sculpture in the shop?
Answer:
$50.40
Step-by-step explanation
The sculpture cost $24 to make so for her to make a 175% profit think of it as a decimal which is 1.75. So you do 24*1.75=$42. Then retailer marks up an additional 120% so then it'll be 42*1.20= 50.4
A carpenter sands 1/2 of a dresser in 3/4 hour ,how long does it take the carpenter to sand 1 dresser
Answer:
1.5 hours = 1 hour 30 mins
Step-by-step explanation:
3/4 = 0.75
0.75 x 2 = 1.5
Precalculus
Write the first five terms of the sequence whose nth term is an = n(n+1)!
Type the missing numbers in this sequence:
-34, , -18, -10, , 6
The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.
What was the population in 2005?
Answer:
10000 fish species
Step-by-step explanation:
Given
[tex]p=5000\cdot2^t[/tex]
Required
Find the population in 2005
2005 is the first year
So: [tex]t = 1[/tex]
Substitute 1 for t in [tex]p=5000\cdot2^t[/tex]
[tex]p=5000\cdot2^t[/tex]
[tex]p = 5000 * 2^1[/tex]
[tex]p = 5000 * 2[/tex]
[tex]p = 10000[/tex]
Solve -4(2x - 1) = -6(x + 2) - 2.
1) -5
2) 5
3) 9
4) -9
Answer:
The answer is x=9 so, its option 3.
Answer:
The answer to the question provided is 9.
Samuel is buying a pair of boots with an original price of $80.
• Store A is offering a 25% discount off the original price of all boots.
• Store B is offering a $10 discount off the original price of all boots.
Based on this information, which statement is true?
The best deal was given by store A. Because the price at store A is less than store B.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Samuel is purchasing a couple of boots with a unique cost of $80.
Store A is offering a 25% markdown off the first cost, everything being equal. Then the price of the boot will be given as,
⇒ (1 - 0.25) x $80
⇒ 0.75 x $80
⇒ $60
Store B is offering a $10 markdown off the first cost, all things considered. Then the price of the boot will be given as,
⇒ $80 - $10
⇒ $70
Based on this information, the best deal given by store A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Evaluate the function. f(x) = 3x² – x Find f(10)
Answer:
f(10)=290
Step-by-step explanation:
Function Evaluation
Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.
We are given the function:
[tex]f(x)=3x^2-x[/tex]
It's required to find f(10). We replace the x for 10:
[tex]f(10)=3*10^2-10[/tex]
Operating:
[tex]f(10)=3*100-10[/tex]
[tex]f(10)=300-10[/tex]
[tex]f(10)=290[/tex]
Thus, f(10)=290
Make q the subject of the formula 2(5q^2+1)=c
answer this fast pls pls
Answer:
woof
Step-by-step explanation:
.
.
woof
.
.
find the scale factor
Answer:
2 is ur answer.
hope it helps you.
Which is the better buy: 4 pens for $2.60 or
12 pens for $7.20
Answer: The 12 pens for $7.20 is the better buy
Step-by-step explanation: each pen is 60 cents. While 4 pens for $2.60 would be 65 cents.
Peter buys a comic for $4. There was a discount of 20%. What is the sale price?
Answer:
4$ x .8= 3.2. 3.2$ is paid
Step-by-step explanation:
Answer:
$3.20
Step-by-step explanation:
what is an X intercept of the continuous function of the table
a.) (0, -6)
b.) (3,0)
c.) (-6,0)
d.) (0.3)
Answer:
B
Step-by-step explanation:
hope this helped! please let me know if im wrong
Faith invested $4,100 in an account paying an interest rate of 2.6%
compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach
$5,290?
Answer:
1 year (10 months)
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I got it right
Select the indicated real n th root(s) of a. n=5 a=243
Answer:
Ask your teacher because i don't know how to do it or i would help sorry
Step-by-step explanation:
What is the vertex of the graph
I need major help with number 5. Please show the work.
Answer:
Step-by-step explanation:
p-1=5p+3p-8
7=7p
p=1
Answer:
p = 1
Step-by-step explanation:
[tex]p-1 = 5p + 3p - 8[/tex]
combine like terms on the right side
[tex]p - 1 = 8p - 8[/tex]
subtract 8p from both sides
[tex]-7p - 1 = -8[/tex]
add 1 to both sides
[tex]-7p = -7[/tex]
divide both sides by -7
[tex]p = 1[/tex]
Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. He wants to split them into equal and identical bags to sell at the bake sale. What is the greatest number of bags of cookies Victor can make?
Answer:
6
Step-by-step explanation:
The greatest common factor (GCF) of 18, 24, and 30 is 6. :)
Victor can make at most 6 bags with equal numbers of each type of cookie.
_____
18 = 6×3
24 = 6×4
30 = 6×5
One way to look for the GCF is to consider the differences between the numbers. The smallest difference between any pair is 6, which also divides all of the numbers evenly. Hence 6 is the GCF.
Please help! Find the perimeter of the figure.
Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile of your trip.
Answer:
Service A is represented by Line m
Service B is represented by Line ℓ
For Service B, is the additional charge per mile is less than 30 cents per mile
what is a formula for the nth term of the given sequence? -7, -12, -17...
hey guys! which one is it (photo below)
