Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
In Europe, the speed limits on the highways are posted in kilometers per hour. In the United States, the speed limits are posted in miles per hour. What is the equivalent rate of 65 miles per hour in kilometers per hour?
Felix used place value and the distributive property to rewrite the expression 9(278). His work is shown below. 9(278) = 9(200 + 70 + 8) What should Felix do to find the product? Select all that apply. Multiply 9(200) and multiply 70(8). Multiply 9(200), 9(70), and 9(8). Multiply 9(200) and then add (70 + 8). Distribute the 9 to each addend. Find the sum of (1,800 + 630 + 72).
Step-by-step explanation:
Distributive property is as follows :
a(b+c) = ab + ac
Felix used place value and the distributive property to rewrite the expression 9(278).
Place value of 278 = 200 + 70 +8
He has done like : 9(278) = 9(200 + 70 + 8). Now, the steps are as follows :
9(278) = 9(200 + 70 + 8)
= 9(200)+9(70)+9(8)
= 1800 + 630 +72
= 2502
Hence, option (d) "Distribute the 9 to each addend. Find the sum of (1,800 + 630 + 72)" should be the correct answer.
Answer:
its B D and E
Step-by-step explanation:
what is 96-4.5y-3.2y=5.6y+42.80
PLEASE HELP!!!!
PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!!
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Equation: y-intercept of 1, 3x – y = 5
Answer:
The equation is [tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
You have the y-int, so you just need to find the slope, which is the negative reciprocal of A/B since it is perpendicular. Plugging in the numbers gets you the above equation.
-8 1/4 + 7
I would to get some help because I am BAD AT MATH T^T
Answer:
-1 1/4 i think
Step-by-step explanation:
not 100% sure
Answer:
I got -53/4 which equals -13.25 but I maybe off.
Find the two sets coordinates for each graph
Answer:
a.) (0,2)
b.) (0,-1)
Step-by-step explanation:
hopefully this is correct, im pretty sure...
Match the following items.
1 .
proper fraction
fraction in which the numerator is smaller than the denominator
2 .
numerator
a number with a whole number part and a fractional part
3 .
improper fraction
fractions that have the same numerical value
4 .
mixed number
fraction in which the numerator is larger than the denominator
5 .
equivalent fractions
part of the fraction below the fraction bar
6 .
denominator
part of the fraction above the fraction bar
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Terms:}[/tex]
[tex]1.)~Proper~Fraction:[/tex]
[tex]\bold{Fraction~in~which~the~numerator~is~smaller~than~the~denominator.}[/tex][tex]\bold{Ex:\frac{9}{10} }[/tex][tex]2.)~Numerator:[/tex]
[tex]\bold{Part~of~the~fraction~above~the~fraction~bar.}[/tex][tex]\bold{Ex:\frac{7}{y} }[/tex][tex]3.)~Improper~Fraction:[/tex]
[tex]\bold{Fraction~in~which~the~numerator~is~larger~than~the~denominator.}[/tex][tex]\bold{Ex: \frac{13}{2} }[/tex][tex]4.)~Mixed~Number:[/tex]
[tex]\bold{A~number~with~a~whole~number~part~and~a~fractional~part.}[/tex][tex]\bold{Ex: 6\frac{1}{2} }[/tex][tex]5.)~Equivalent~Fractions:[/tex]
[tex]\bold{Fractions~that~have~the~same~numerical~value.}[/tex][tex]\bold{\frac{1}{2}=\frac{2}{4} }[/tex][tex]6.)~Denominator:[/tex]
[tex]\bold{Part~of~the~fraction~below~the~fraction~bar.}[/tex][tex]\bold{Ex: \frac{x}{6}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
Answer:
proper fraction
fraction in which the numerator is smaller than the denominator 8/12
numerator part of the fraction above the fraction bar
improper fraction in which the numerator is larger than the denominator
mixed number a number with a whole number part and a fractional part
equivalent fractions fractions that have the same numerical value
denominator part of the fraction below the fraction bar
If cheese costs $5.65 per pound, what will be the total cost of 2.2 pounds of cheese? plz help meee
A triangle has angle measurements of 80°, 90°, and 10°. What kind of triangle is it?
acute
right
obtuse
Answer:
Right.
Step-by-step explanation:
It has a 90 degree angle, so that automatically makes it a right triangle.
Answerr for money!!!
Answer:
Line s and Line t are parallel.
Step-by-step explanation:
Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.
By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.
I hope you find my answer and explanation to be helpful. Happy studying.
Which of the equations shown will have infinitely many solutions? Select the TWO that apply. A 3x−1=3x+13 x minus 1 is equal to 3 x plus 1 B 2x−1=1−2x2 x minus 1 is equal to 1 minus 2 x C 3(x−1)=3x−33 times open paren x minus 1 close paren is equal to 3 x minus 3 D 2x+2=2(x+1)2 x plus 2 is equal to 2 times open paren x plus 1 close paren E 3(x−2)=2(x−3)
Answer:
Step-by-step explanation:
Am equation with infinite number of solution means that the equation has uncountable solutions.
Let's analyse each options
For the expression 3x-1 = 3x+1
Collect like terms
3x-3x = 1+1
0x = 2
Divide both sides by 0
x = 2/0
x = infinity
This shows that the expression 3x-1 = 3x+1 has infinite number of solution
Also considering the third expression
3(x-1) = 3x+3
Open the parenthesis
3x-3 = 3x+3
Collect like terms
3x-3x = 3+3
0x = 6
x = 6/0.
x = infinity
Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.
3x-1 = 3x+1
3(x-1) = 3x+3
It costs $7.20 for 6 large candy bars. How many candy bars can you buy for $13.20?
Answer:
11
Step-by-step explanation:
I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11
Answer: You can buy 11 candy bars.
Step-by-step explanation:
$7.20 =6
$7.20/6 =$1.20
$13.20/$1.20=11
4 in.
5 in.
2 in.
4 in.
5 in.
5 in.
Answer:
I need to see the whole question but I believe you just add the numbers
6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?
Answer:
5 dvds
Step-by-step explanation:
15 per dvd
15x+10 and then it has to be less then 100
Plz help! Are they right? The questions are below!
Answer:
I believe the first one is correct, not so sure about the other one.
Step-by-step explanation:
A department store buys snow boots from a supplier for s dollars. The store manager decides on a 33% markup.find the retail price of snow boots, when the department store pays $20 to the supplier for each pair of snow boots?
Answer:
$26.60
Step-by-step explanation:
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.
Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
find the distance between points (2, 9) and (5, 4) to the nearest tenth
Answer:
[tex]Distance = 5.8[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]
[tex]d = -5^{2} + 3^{2}[/tex]
[tex]d= 25 + 9[/tex]
[tex]d= \sqrt{34}[/tex]
[tex]distance = 5.8[/tex]
what are the common factors of 42 and 28
A.1,2,4,7,14
B. 1,2,6,7,14
C. 1,2,4,6,7,14
D. 1,2,7,14
Need help ASP
B 1,2,6,7,14
okay
okay
What are the common factors of 18 and 42
A. 1,2,3,6,9
B. 1,2,3,6,18
C. 1,2,3,6
D .1,3,6
Solve for x.
y=(2 + x)m
Answer:
x = [tex]\frac{y-2m}{m}[/tex]
Step-by-step explanation:
Given
y = (2 + x)m ← distribute parenthesis by m
y = 2m + mx ( subtract 2m from both sides )
y - 2m = mx ( divide both sides by m )
[tex]\frac{y-2m}{m}[/tex] = x
What is the domain of the graph below
Andy drove 840 miles in 12 hours. How far could he drive in 1 hour?
Answer:
70
Step-by-step explanation:
Divide 840 by 12 and you get 70 miles.
Hey, he's speeding! I should give him a ticket.
Can I have brainlliest?
Hope it helped.
It’s asking me to solve for z...Can someone please explain how I can workout this problem?
Answer:
12°
Step-by-step explanation:
Step 1:
7z + 6° = 90° Def. of Right Angle
Step 2:
7z = 84° Subtract 6° on both sides
Step 3:
z = 84° ÷ 7 Divide
Answer:
z = 12°
Hope This Helps :)
Jens wanted to go fishing. He went to the
store and purchased the following items,
3 fishing lures at $4.49 each
4 floats at 794 each
12 Leuters at 23¢ each
Nhat was the total bill before tax?
QUESTION 1: what was the total bill before tax?
QUESTION 2: Write an mathematical expression to show how to calculate the total bill before tax. use a calculator to find the value of your expression.
Answer:
Question 1: The total cost before tax is $47.99
Question 2: cant help ya there, not that smart sorry..
Step-by-step explanation:
Answer:
I'm just answering this for the points haha
Work out the product of 2⅔ and 3¾
Answer:
[tex]6\frac{5}{12}[/tex]
Step-by-step explanation:
[tex](\frac{8}{3} * \frac{4}{4} )+(\frac{15}{4} * \frac{3}{3} )[/tex] - so they have the same denominator
[tex](\frac{32}{12} + \frac{45}{12} )\\\\ \frac{32+45}{12} \\\\\frac{77}{12} \\\\[/tex]
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 109°
The angle at the bottom right corner = 71°
Step-by-step explanation:
Linda watched a video. The introduction is 2 minutes, and the video is 7 minutes. What percentage of the video is the introduction? Explain.
Answer:
22.222222%
Step-by-step explanation:
all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer
Answer: 22.23% (Infinitely Long)
Step-by-step explanation:
9 = 100%
9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]
There ya go. :)
Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made xx dollars in sales?
how to do exponents
Answer:
I- I’m sorry I can’t help
Step-by-step explanation:
Answer:
395
If xx dollar then she will earn 350+ (0.15*xx)
~~~~~~~~~~~~~~~~~~~~
Double Check :)
A generator turns __?____ energy into ___?____ energy
A.Coiled wire
B.Negative wire
C.Positive wire
D.Handle that can spin
E.Light bulb
Chose two answers to place on the sentence
Help asap