The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?
Answer:490
Step-by-step explanation:
solve pls brainliest
Answer:
96 cm^3
Step-by-step explanation:
multiply the three dimensions: 4*6*4=96
Answer:
V=l×W×h
=4cm×6cm×4cm
=96cm cubic
The bearing of a point Q from a point P is 048 degree. find the bearing of P from Q.
Answer:
Vector PQ = 48 deg
Vector QP = -PQ = 48 + 180 = 228 deg
Note that 228 is 48 deg below the -x (180) axis
a square has a diagonal length of 10 meters. How long is the side of the square?
Answer:
5 × √2 or 7,071067811865475Step-by-step explanation:
the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.
where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:
a² + a² = c²
2a² = 100
a² = 50
a = √50
a = 5 × √2 or 7,071067811865475
--------------------------
Answer: 50
Step-by-step explanation :<
What is the sum????????
sum is the process of adding two numbers.
What is the answer to (6 1/2)/2
Answer:
3.25
Reasoning:
[tex]\frac{6.5}{2}[/tex]
[tex]3.25[/tex]
Find the missing side. Round to the nearest tenth, if necessary.
Answer:
Apply the concept of:
a²+b²=c²
1. 5²+4²=c²
25+16=c²
c²=41
c=6.4 (to nearest tenth)
Do the same for the other qns.
y = 3x + 21. which ordered pair is a solution to the equation
Answer:
(1, 24 )
Step-by-step explanation:
Substitute any value of x into the equation and evaluate for y
x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then
(1, 24 ) is a a solution to the equation
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️
Let's see
[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]
[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]
From both
9x=4x=4/9How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]
A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.
Answer:
24 adults
Step-by-step explanation:
because it's just subtract 212-188=24
I think
pls help!! need it to study fr the exam tmrw
Answer:
[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]
Answer:
22 cm
Step-by-step explanation:
The angle subtended at the centre by the arc is 90°
This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle
The arc length will be quarter of the circumference, that is
arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm
need help!!!!
No guessing,no links
Answer:
d = mn/F
Step-by-step explanation:
F = mn/d
multiply both sides with d
d*F = mn/d*d
dF=mn
divide F from both sides
d/F = mn/F
So..
d = mn/F
Answer:
Given:
[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]
Divide both sides by "mn":
[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]
The two mn's on the RHS gets canceled out. So we're left with:
[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]
Invert the fractions present on either side of the "equals" sign
(In other words, flip it on its head so its numerator becomes its denominator and vice):
[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]
Hence, we got the value of d:
[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]
calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly
Answer:
Step-by-step explanation:
3923 divided by 26 pls help
Answer:
150.884615385
Step-by-step explanation:
3923÷26=150.8846153846153
Find the values of a and b. The diagram is not drawn to scale.
Answer:
36
Step-by-step explanation:
Same side
Answer:
a = 144°, b = 67°Step-by-step explanation:
a is supplementary with 36 and b is supplementary with 113. Same side interior angles.
Supplementary angles sum to 180°
a = 180 - 36 = 144b = 180 - 113 = 67A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?
Answer:
3 is 37.5% of 8 so the answer is about 37%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
Three male and five female.
So, we need to find out the mall.
We can divide this out of 8.
3/8 and 5/8.
Male - 37.5%
Female - 62.5%
Please help me with this
Answer:
make me brainliest
Step-by-step explanation:
1: x ≤ 18/5
2: x > 4
3: x ≤ 4
4: x < 12
5: x > 1/4
6: x ≤ 2
7: x ≤ 5
8: x > 10
9: x < 5/2
10:7/3x^2 + 4/3x + 12
11: 2 < x < 15
12:25/2 < x ≤ 45/2
A printing company sells small packages of personalized stationery for $7 each, medium
packages for $12 each, and large packages for $15 each. Yesterday, the company sold 9
packages of stationery, collecting a total of $86. Three times as many medium packages
were sold as large packages.
Can someone set up the question? I’m unsure of what the equations would be.
Step-by-step explanation:
what's the question ? it does not say.
I assume it is "how many packages of what size were sold ?"
x = number of small packages
y = number of medium packages sold
z = number of large packages sold
x + y + z = 9
7x + 12y + 15z = 86
y = 3z
these are the 3 equations we get out of the question.
we put the third equation into the other two :
x + 3z + z = x + 4z = 9
7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86
it of this first equation we get
x = -4z + 9
and putting that into the other equation :
7×(-4z + 9) + 51z = 86
-28z + 63 + 51z = 86
23z = 23
z = 1
y = 3z = 3×1 = 3
x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5
so, 5 small, 3 medium and 1 large packages were sold.
y=6x+8 what is the y and x value. find y when x = -3 and find x when y = 2
Answer:
y= -13 x= -1
Step-by-step explanation:
y=6x+8
y=6(-3)+8
y= -21+8
y=-13
2=6x+8
-8=6x
-6=6x
x= -6/6= -1
Find the slope between (6,1) and (3,7)
Answer:
?
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation: m = slope
What equation is graphed in this figure?
· y-4= -1/3(x+2)
· y-3= -1/3(x+1)
· y+2= -3(x-1)
· y-5=3(x-1)
Answer:
y-5=3(x-1)
Step-by-step explanation:
I hope it helped
Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour
Answer:
4/6
Step-by-step explanation:
change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6
Micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
Answer:
Jocelyn = 8 Miles an Hour
Micheal-Anthony = 6 Miles a Hour
Jocelyn Run Faster than Micheal-Anthony.
Step-by-step explanation:
Important information:
Michael-Anthony runs 3 Miles in 20 Minutes.
Jocelyn Runs 4 Miles in 30 Minutes.
Continues at pace for 1 Hour.
Questions that Need to be Answer:
How many miles does each person each person run in an hour?
Who runs faster?
Explanation/Solution:
So, We know that 1 Hour = 60 Minutes and three 20 minutes equal 60 Minutes also known as 1 Hour..
Since, three 20 minutes equal 1 Hour that means
Micheal-Anthony Run 6 Miles a Hour adding the 20 Minutes equal 9 Miles
Hence, Micheal-Anthony Run 9 Miles..
We know that 1 Hour = 60 Minutes and two 30 Minutes equal 60 Minutes also known as 1 Hour..
Since, two 30 Minutes equal 1 Hour that means
Jocelyn Run 8 Miles a Hour adding the 30 Minutes equal 12 Miles
Hence, Jocelyn Run 12 Miles..
For these Reason, You can tell that Jocelyn Run 8 Miles an Hour and Micheal-Anthony Run 6 Miles a Hour and Jocelyn Run Faster than Micheal-Anthony.
CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
the same factor of one dimension or one line applies then for all dimensions or lines.
the length goes from 16 to 32 cm. that means it doubles.
so, we need to double also the width :
10.5 × 2 = 21 cm
therefore, the first answer option is correct.
8.2x + 9y + 2(2.5x) + 10xy
plz Help
Answer:
13.2x + 9x + 10xyStep-by-step explanation:
=> 8.2x + 9y + 2(2.5x) + 10xy
=> 8.2x + 9y + 5x+ 10xy
=> 13.2x + 9y + 10xy
Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.
If you type 30 words per minute, what is the words per minute ratio?
Answer:
30:1
Step-by-step explanation:
If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.
Please help me with this