5. A company is deciding which box to use for their merchandise. The first box measures 8 inches by 6.25 inches by 10.5 inches. The second box measures 9 inches by 5.5 inches by 11.75 inches. Which box required more material to make?

6. If each box (from #5) used material that cost $0.03 per square inch to make, how much does a company save by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box?

Answers

Answer 1

Answer: 5. The second box required more material to make.

6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.

Step-by-step explanation:

5.  To solve this problem you need to find the volume of the boxes.

Volume of the first box.

v= 8 * 6.25 * 10.5

v= 525  

Second box volume

9 * 5.5 * 11.75 = 581.625

Which means the second box required more material to make because it has the greatest volume.

6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.

525 * 50 = 26250 * 0.03 = 785.5

581.625 *50 = 29081.25 * 0.03= 872.4375

872.4375 - 785.5  = 84.9375 which is about $84.94.


Related Questions

The box plots represent the distributions of typing speeds of students before and after a computer-programming course.



Which statement is true about the variability of the distributions?

The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course.
The interquartile ranges of the two distributions are the same.
The range of the speeds after the course is smaller than the range of the speeds before the course.
The ranges of the two distributions are the same.

Answers

Answer:

C on EDG

Step-by-step explanation:

Answer: C on edge

Step-by-step explanation:

the range of the speeds after the course is smaller than the range of the speeds before the course.

G/2 + 7 = 21
Can I get help with this??

Answers

Answer:

g = 28

Step-by-step explanation:

g/2 + 7 = 21

Subtract 7 on both sides.

g/2 = 21-7

g/2 = 14

Multiply 2 on both sides.

g = 2(14)

g = 28

Answer:

g=28

Solution,

[tex] \frac{g}{2} + 7 = 21 \\ or \: \frac{g + 7 \times 2}{2} = 21 \\ or \: \frac{g + 14}{2} = 21 \\ or \: g + 14 = 42(cross \: multiplication) \\ or \: g = 42 - 14 \\ g = 28[/tex]

hope this helps...

Good luck on your assignment...

b) Write 1.27 x 10-2 as an
as an ordinary number.​

Answers

Answer:

10.7...........................................

You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which of the following is a good estimation of how many strawberries each of your friends get?

Answers

Answer:

Step-by-step explanation: (130-27)/4 = 25.75 im not sure how you want to round it

Answer:25

Step-by-step explanation: to round 25.75 you have to round it 25 but i believe 25.75 is less than 5 we simply remove the fractional part to get the answer.25.Hope this helped.

If 12 1/2% of a sum of money is $40, what is the total sum of money?

Answers

Answer:

i think its 320

Step-by-step explanation:

i looked it up

Answer:

320

Step-by-step explanation:

To find the total sum, divide the sum of money by the percentage.

12 1/2% = 0.125

40/0.125 = 320

part 2. Please show work. Please assist me with these math problems.​

Answers

Answer:

121800, 591.09375, 1/4.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

4. 121800

5. 591.09375

6. 0.25

Step-by-step explanation:

4. It's an AP with:

first term(a): 12

common difference(d): 24-18 = 6

Sn = (n/2)(2a + (n-1)d)

S200 = (200/2)[2(12) + (200-1)(6)]

= 121800

5. It's an GP with:

first term(a): 12

common ratio(r): 18/12 = 1.5

Sn= a(r^n -1)/(r-1)

S8 = 12(1.5⁸-1)/(1.5-1)

= 18925/32 = 591.09375

6. It's an infinite GP with:

first term(a) = 1/12

common ratio: 1/18 ÷ 1/12 = ⅔

Sinfinity: a/(1-r)

= (1/12) ÷ [1-⅔]

= 1/12 ÷ 1/3

= 1/12 × 3

= 1/4 = 0.25

5xthe power of x...................

Answers

Answer:

[tex]5x^{x}[/tex]

F(x) = x^2-3x+18f(x)=x 2 −3x+18f, left parenthesis, x, right parenthesis, equals, x, squared, minus, 3, x, plus, 18 What is the value of the discriminant of fff? How many distinct real number zeros does fff have?

Answers

Answer:

No real roots or no real zeros.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x+18[/tex]

We need to find the number of real zeroes.

The given function is a quadratic function.

Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].

If [tex]b^2-4ac<0[/tex], then the function has no real root.

If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.

If [tex]b^2-4ac>0[/tex], then the function has two real roots.

In the given function,

[tex]a=1,b=-3,c=18[/tex]

So,

[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]

The value of discriminant is -63.

Therefore, the given function has no real root or no real zeros.

Answer:

The discriminant value of F is -63

F has 0 distinct real number zeros

Step-by-step explanation:

A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

Answers

Answer:

[tex]12^{\circ}[/tex]  [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

[tex]= \frac{360}{30}[/tex]

[tex]= 12^{\circ}[/tex]

The arc length is

[tex]= \frac{12}{360}(30)[/tex]

= 1 feet

And, the area of a sector between two cars is

[tex]= \frac{12}{360}(\pi (30)^2)[/tex]

= [tex]94.28\ ft^2[/tex]

We simply do the above calculations so that each item could be find out

The Happy-Go-Lucky Beach was 163 feet long from parking lot to high tide. After last year's hurricane came ashore, the beach only measured 154 feet

long. What was the percent of change?

About 94.5% of increase

About 94.5 % of decrease

About 5.5% increase

About 5.5% decrease

Answers

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

PLZ HELP ME!!!! maths isn't my best subject. brainiest to be given

Answers

Answer:

4

30

8

Step-by-step explanation:

students in the group i would get 30 by adding all the frequency column together

the mean is 40/5 which is 8

the range of marks is the difference between the smallest number and the greatest number in the set so the difference of 6 and 10 which is 4

Answer:

Ans no.1) 4

Ans.no.2) 30

Ans.no3) 8

Step-by-step explanation:

no.1) to find a range we have to do subtract from the highest mark and the smallest mark

no.2) to find the total student you have to add up the frequency

no.3) to find the range first add up all the mark and count the total no. ( 5 ) then divide it by the sum of the no. and the count of no.

There are two numbers whose sum is 47. Three times the smaller number is equal to 9 more than the larger number. What are the numbers?

Answers

answer.

14 and 33

Step-by-step explanation:

lets use x for the smaller number and y for the other

x+y=47

3x=y+9

x=47-y

3(47-y)=y+9

141-3y=y+9

put the liketerms together

141-9=3y+y

132=4y. (divide both sides by 4)

y=33

x=14

Answer:

14&33

Step-by-step explanation:

x+y=47

3x=y+9

x=47-y  

3(47-y)=y+9

141-3y=y+9

141-9=3y+y

132=4y

y=33

x=14

Solve the following equation:
2/3 - 1/x = 13/15

Answers

Answer:

x=−5

Step-by-step explanation:

Steps:

Step 1 to 4 : Simplify

Steps 5: Calculating the Least Common Multiple

Steps 6: Calculating Multipliers

The correct answer for this question is x=−5

Answer: x=−5

Hope this helps.

Answer:

x = -5

Step-by-step explanation:

2/3 - 1/x = 13/15

Subtract 2/3 from each side

2/3 -2/3 - 1/x = 13/15 -2/3

-1/x = 13/15 - 2/3

Getting a common denominator

-1/x = 13/15 -2/3*5/5

-1/x = 13/15 - 10/15

-1/x = 3/15

Using cross products

3x = -15

Divide each side by 3

3x/3 = -15/3

x = -5

simplify 15a^6bc^4/35a^2c^4

Answers

Answer:

[tex]\dfrac{3a^4b}{7}[/tex]

Step-by-step explanation:

[tex]\dfrac{15a^6bc^4}{35a^2c^4}= \\\\\dfrac{15}{35}\times\dfrac{a^6}{a^2}\times\dfrac{c^4}{c^4}\times b= \\\\\dfrac{3}{7}\times a^4 \times 1 \times b=\\\\\boxed{\dfrac{3a^4b}{7}}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

I REALLY NEED YOUR HELP!
Samantha and Jillian were going for a walk. Jillian left 15 seconds ahead of Samantha. • Samantha walked at a speed of 7 feet per second. • Jillian walked at a speed of 6 feet per second. How many seconds had Jillian been walking when the two girls had walked the same distance?
Is the answer 105?

Answers

Answer:

105 seconds

Step-by-step explanation:

To solve this, we can set up an equation.

First, let's find how far ahead Jillian is.

15*6=90

Jillian is 90 feet ahead.

Let's name the time that Samantha walks x.

7x is the distance Samantha walks.

90+6x is the distance Jillian walks.

We want to find how many seconds they have walked when the distance is equal.

So let's form an equation.

7x=90+6x

Subtract 6x from both sides.

x=90

Samantha needs to walk 90 seconds.

Jillian started 15 seconds before that.

90+15=105

Jillian had been walking for 105 seconds when the two girls had walked the same distance.

An exterior angle of an isosceles triangle has a Measure 160°. Find two possible sets of measures for the angles of the triangle. If the exterior angle of the bases is 160° then the measure of the angle of each base is

Answers

Answer:

the angles would either be 20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Urgent! Please help me with this!

Answers

Answer:

see below

Step-by-step explanation:

The mean is the sum of all the terms divided by the number of terms

The median is the middle number  when the terms are arranged smallest to largest

The mode is the number that appears most often ( most frequently)

Answer:

Median: C

Mode: B

Mean: A

Step-by-step explanation:

Which of the following is the solution of One-fourth x + 5 = 7? x = 2 x = 6 x = 8 x = 12

Answers

Changes made to your input should not affect the solution:

(1): "x1" was replaced by "x^1". 3 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

57x28 + x = x • (57x27 + 1)

Trying to factor as a Sum of Cubes :

3.2 Factoring: 57x27 + 1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3

Check : 57 is not a cube !!


Final result :

x • (57x27 + 1)

Processing ends successfully

Answer:

x = 8

Step-by-step explanation:

If you plug the equation into Desmos you can see the x-intercept is 8

plus I got it right on edge ;)

What is the value of x in 3x+5+3

Answers

Answer:

Step-by-step explanation:

So since the question is no completed. The only way you can answer this is by simplifying it which is not the same as the value of x. It would be 3x+8

find the coordinate of K' after a Glide reflection of the triangle: translation 4 units up and 4 units right then a reflection across the line y = 1.
Part 3a​

Answers

Answer:

  a.  (-1, 3)

Step-by-step explanation:

The "glide" 4 units right and up is the transformation ...

  (x, y) ⇒ (x+4, y+4)

The reflection across y=1 is the transformation ...

  (x, y) ⇒ (x, 2-y)

Combined, you have the transformation ...

  (x, y) ⇒ (x +4, 2-(y +4)) = (x +4, -2-y)

Then, ...

  K(-5, -5) ⇒ K'(-5 +4, -2-(-5)) = K'(-1, 3)

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{1}{4}sin(θ 1 ​ )= 4 1 ​ sine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 1, divided by, 4, end fraction . What is the value of \cos(\theta_1)cos(θ 1 ​ )cosine, (, theta, start subscript, 1, end subscript, )?

Answers

Answer:

[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant II.

[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]

From trigonometry, we know that:

[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]

Now, in Quadrant II,

The x-axis is negativeThe y-axis is positive

Therefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]

Therefore:

[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Lucy’s parents built a swimming pool in the backyard. that the width is 18ft and the length is30ft , what's the disentrance around the pool , and what's the area of the pool , Use 3.14 for π.

Answers

Answer:

P=96;A=540

Step-by-step explanation:

To find the perimeter, the distance around the pool, all you need to do is add 18+18 then add 30+30. Why? Because assuming the pool is a rectangle, it would have 4 sides. The two width sizes as 18 and the two lengths as 30. Now, finding the area is even simpler. All you have to do is multiply the width by the length. 18*30.

I hope this answer helped! If you found it useful give it a thanks! It would mean a lot!

PLEASE HELP ME ASAP!! QUESTION 10

Answers

Step-by-step explanation:

x -1 0 1 2

y -9 -6 -3 0

plot (-1,-9) (0,-6) (1,-3) (2,0)

Does anyone know the answer?

Answers

Answer:

<FBC=<DBG

Step-by-step explanation:

Richard drives his car for 5 hours.
His average speed is 30 mph.
(a) How far does Richard travel?
miles
Richard drives 560 km the next day.
(b) Work out how much further Richard travelled, compared to the previous day.
5 miles = 8 kilometers
miles

Answers

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200

Can I get some help plz

Answers

Answer:

3rd choice

Step-by-step explanation:

If 32 % of a is 1.12 then what is the value of a?

Answers

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.


The data below shows how old each of Brad's eight kids were when they started kindergarten.
4
4
5
4
5
4
3
4
Using this data, create a frequency table.
Age (in years)
Number of kids
3
4
5

Answers

Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer:

(4+x)^2

Step-by-step explanation:

Rewrite 16 as 4^2

4^2+8x+x^2

Check the middle term by multiplying 2ab and compare the result with the middle term in the original expression.

2ab=(2)x(4)x(x)

Factor using the perfect square trinomial rule a^2+2ab+b^2=(a+b)^2, where a=4 and b=x

Anwser:

(4+x)^2

Hopefully that is the correct anwser you're looking for!

Find the value of x in the triangle shown below

Answers

Answer: 70

Step-by-step explanation:

Since the spot where the 3.5 and the 4 meet is 55 and there is 2 of that exact angle you can add them to get 110. 180-110 is 70 :)

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