the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links
Answer:
4.7
Step-by-step explanation:
2400/160 =15 crates
4/1.25=3.2 crates a minute
15/3.2=4.68 minutes
4.7 because it rounds up
To load 2400 pounds of crates crew will take around 4.69 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
Crew can load 4 crates every 1.25 minutes
4 creates ⇔ 1.25 minutes
Given,
1 crate = 160 pounds
So,
4 crate = 640 pounds
So,
640 pounds ⇔ 1.25 minutes
1 pound ⇔ 1.25/640 minutes
To load 2400 pounds
2400 pounds ⇔(1.25/640)2400 minutes
2400 pounds ⇔ 4.6875 minutes.
Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".
For more information about ratio and proportion,
brainly.com/question/26974513
#SPJ5
This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?
Answer:
Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.
You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable
Answer:
Step-by-step explanation:
If x represents your age then the age of your elder brother
is x + 5 years.
Answer:
Your age = y
So the variable expressing the age of your elder brother would be y + 5 (years).
Hope that helps?
what is the value of x? 48°(3x + 6)
Answer:
No clue
Step-by-step explanation:
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Plz. Helppp me what the answer???
Help please!! (The image is for all questions)
1. Complete the chart. Type your 3 responses.
2. Use 2 points from your chart to calculate the slope. formula: y2 - y1
x2 - x1
3. What would be the y intercept? (AKA the “0” number)
4. Use your answers to write an equation for this scenario in slope intercept form (AKA y = mx + b)
5. Use your formula to calculate how much water would be left in the pool after **6 hours**
Answer:
y-y=1 so the answer is 1 bro
answer this
1) Singapore is located in the +8 time zone. An aeroplane departs from Singapore at 3.00 p.m. (15:00) on Monday and travels across the IDL to Honolulu located in the
-10 time zone. If it takes 12 hours for the journey, find the local time and date when it arrives in Honolulu.
2)An aeroplane departs from Dawson located in the -8 time zone at 6:00 a.m. on
Monday, flies across the IDL and arrives in Tokyo (Japan) in the +9 time zone.
If the flight arrives in Tokyo at 4.00 p.m. on Tuesday, find the time taken for the
journey
Answer:
Local Time = 9:00
Date = Monday
Step-by-step explanation:
Singapore is located in the +8 time zone. An aeroplane
departs from Singapore at 3.00 p.m. (15:00) on Monday
and travels across the IDL to Honolulu located in the
-10 time zone. If it takes 12 hours for the journey, find
the local time and date when it arrives in Honolulu
16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13
easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches
Answer:
24 screeches
Step-by-step explanation:
20M=12L=8P=24S
If you can help, I’ll give brainliest
Answer:
sum of interior angles =180×3= 540°
m<F= 540-105-113-107-87
=128°
m<F= 128°
HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!
Answer:
3rd option
Step-by-step explanation:
Answer:
it's the first option (x ≥ -4)
Step-by-step explanation:
Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.
x ≥ -4
what is the slope of a line that passes through (2,11) and (5,29)?
Answer:
6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(29-11)/(5-2)
m=18/3
m=6
Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.
T or F
Answer: True
Step-by-step explanation:
Solve the equation if 0°
Answer
(225-degree, 315 degree)
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
help ASAP please hmmmm
Answer:
I’d go with number 2 and number 4.
Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-
Answer:
154.5
Step-by-step explanation:
just inputed the equation in desmos.
Answer: 154.5
Step-by-step explanation:
4.2*103=432.6
2.7*103=278.1
432.6-278.1=154.5
Compute the fare without tip: 4 passengers, 20 miles.
$57.50
$59.70
$56.40
$58.60
I had this question earlier, and if I remember correctly the answer was 56.40
The diameter of a circle is 8 mm. What is the circumference of the circle?
Answer:
C=22÷7×8
=3.14×8
=25.12
thissssssssssssssssssssssssssssssssssssssss
Answer:
w represents
Step-by-step explanation:
up 2 is the y coordinates
solve for z. -z+7=6 and thank you
Answer:
z = 1
Step-by-step explanation:
-z+7 = 6
so
7-6 = z
1 = z
good luck
Answer:
[tex]\huge\boxed{\sf z = 1}[/tex]
Step-by-step explanation:
-z + 7 = 6
Subtract 7 to both sides
-z = 6 - 7
-z = -1
Divide both sides by -1
z = 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
RS= 6x-8
UV= 4x+2
write and solve an equation to find the value of x (show work)
What is the length of RS
What is the length of UV
Answer:
The length of RS is 22
The length of UV is 22
Step-by-step explanation:
6x-8. ---------- equation (i)
4x+2 ------------ equation (ii)
Now,
equating equation i and ii, we get
6x-8 = 4x+2
or, 6x-4x = 2+8
or, 2x = 10
or, x = 10/2
.°. x = 5
Then,
length of RS = 6x-8
= 6×5-8
= 30-8
= 22
Again
length of UV = 4x+2
= 4×5+2
= 20+2
= 22
What is the volume of the prism?
cubic units
What 5 coins add up to 38 cents? Explain how you solved it.
Answer:
3 dimes (10c each), a nickel (5c), and 3 pennies (1c each)
Step-by-step explanation:
10+10+10+5+1+1+1 = 38
Hope that helps.
I need help again someone please help
G=45.89 gallons 46 gallons.
I hope this answers your question!
:)
Sponges are sold for 20 dollars. How many sponges per dollar.
Answer:
$1 or $1.25
Step-by-step explanation:
Not sure. Maybe
-34 = -8 + 9(b + 4)
What is the value of the variable?
The ground temperature at an airport is 14 "C. The temperature decreases by 6.2 "C for every increase of 1 kllometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-17 C
Step-by-step explanation:
14 - 5(6.2) = 14 - 31 = -17 C