Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?

Answers

Answer 1

Answer:

140 pounds

Step-by-step explanation:

let s == small box

m = medium box

= large box

the following 3 equations can be derived from the question

s + m = 20 equation 1

m + l = 28  equation 2

l + s = 24  equation 3

make m the subject of the formula in equation 1 and 2

m = 20 - s  equation 4

m = 28 - l  equation 5

equate equation 4 and 5

20 - s = 28 - l

l - s = 8  equation 6

solve equation 3 and 6 using simultaneous equation

l + s = 24  equation 3

l - s = 8  equation 6

subtract equation 6 from 3

2s = 16

s = 8

substitute for s in equation 1

8 + m = 20

m = 12

substitute for m in equation 2

12 + l = 28

l = 16

total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds


Related Questions

The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions.
Show your work as proof.
a. How many days did it take, if the number of ice cream sales is $40?
b. How much ice cream was sold on the eight day?

Answers

Answer:

all I know is how to get y but y=122

Step-by-step explanation:

y=3(40)+2

y=120+2

y=122

sorry but I dont know what to do for x

drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9​

Answers

Answer:

The answers to your questions are given below

Step-by-step explanation:

A. 3 × 9 = 27

B. 2 × 3 × 9 = 54

Next, we shall determine which option will give the same result obtained above.

9 × 3 = 27

9 × 3 × 2 = 54

3 × (4 + 5) = 3 × 9 = 27

(2 × 3) × 9 = 6 × 9 = 54

Therefore,

3 × 9 = 27

9 × 3 = 27

3 × (4 + 5) = 27

2 × 3 × 9 = 54

9 × 3 × 2 = 54

(2 × 3) × 9 = 54

SUMMARY

3 × 9 >>>>>>>>> 2 × 3 × 9

9 × 3 >>>>>>>>> 9 × 3 × 2

3 × (4 + 5) >>>>> (2 × 3) × 9

Which function is continous across its domain? Pls help

Answers

Answer:

Step-by-step explanation:

A function f is continuous on its domain D if f is continuous at every point c∈D. Example 1. The function f(x)=ex (with domain R) is continuous on its domain.

2. Given: g(x) = x2
What is g(4) = ?
4
0
16
49

Answers

Answer:

16

Step-by-step explanation:

Simply plug 4 into g(x)

g(x) = x^2

g(4) = (4)^2 = 16

Ok here is the question I need it answered fast I'll give brainliest!

Answers

Answer:

It’s C!!!

Explanation: have an amazing day!

A motorcycle can go 50 miles on 1 gallon of gas. How many gallons will be used to go 150 km? I mile is about 1.6 km. Round to the nearest gallon.

Answers

Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons


PLEASE HELP

Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____

Answers

Answer:

(a) $62.92 saved in 25 weeks

(b) 41 weeks to save $100

Step-by-step explanation:

Given

[tex]y = 2.92 + 2.4x[/tex]

[tex]x \to weeks[/tex]

[tex]y \to savings[/tex]

Solving (a): Savings in 25 weeks.

This means that: x = 25

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]y = 2.92 + 2.4 * 25[/tex]

[tex]y = 2.92 + 60[/tex]

[tex]y = 62.92[/tex]

Solving (b): Whole weeks to save $100

This means that x = 100

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]100 = 2.92 + 2.4x[/tex]

Collect like terms

[tex]2.4x = 100 - 2.92[/tex]

[tex]2.4x = 97.08[/tex]

Solve for x

[tex]x = 97.08/2.4[/tex]

[tex]x = 40.45[/tex]

Round up

[tex]x = 41[/tex]

Kevin works at an electronics store. He is paid $500 every week plus a 4% commission on anything he sells. Select TWO statements about Kevin's weekly paycheck that are true.

A Kevin's paycheck is for $600 when he sells $250 of merchandise in a week.

B Kevin's paycheck is for $620 when he sells $600 of merchandise in a week.

C Kevin's paycheck is for $620 when he sells $3,000 of merchandise in a week.

D Kevin's paycheck is for $820 when he sells $800 of merchandise in a week.

E Kevin's paycheck is for $900 when he sells $10,000 of merchandise in a week.

F Kevin's paycheck is for $1,000 when he sells $1,250 of merchandise in a week.

Answers

Answer:

b)   (d

Step-by-step explanation:

no words

1. Find mYX.

50 points if answer.

Answers

Answer:

m<YX=60° is a required answer

Answer:

m<YX=60° is a required answer

Step-by-step explanation:

Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X = - 1/6y^2 C. X = 1/36y^2 D. X = 1/6y^2

Answers

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

Find the surface area of the
triangular prism.
8 m
6 m
7 m.
10 m
[?] sq m.
ntar

Answers

Answer:

216

Step-by-step explanation:

The triangular prism given here is consisting of two triangles and three rectangles

So the area of the triangular prism = area of the two triangles and the area of the three rectangles

= Surface Area ₚᵣᵢₛₘ =[2 ×1/2×8×6] m²+[3×7×10]m²

= (48+210)m²

= 258m² (ans)

Need help only on 12

Answers

Answer:

y = 3

Step-by-step explanation:

4 (1/2) + y = 10 (1/2)

2 + y = 5

-2 -2

y = 3

PLZZZ HELP FAST
what is the value of y
[tex]y ^3 = 5[/tex]

Answers

Answer: y= [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation:

Your answer below . You can either put in radical form or appx decimal form see below

30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches

Answers

Answer:

1100 Inches Squared

Step-by-step explanation:

Let the triangle on the top right be - (i)

Let the triangle on the top left be - (ii)

Let the bottom rectangle be - (iii)

1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)

=> 10 + 10

=> 20 in

Base = 20 in

Height = 30 in

Area = 1/2 * 20 * 30

=> 10 * 30

=> 300 in

Triangle (i) = (ii)

So, the area of triangle (ii)

=> 300 in

Area of rectangle,

Length * Breadth

=> 20 * 30

=> 500 in

Total arrow's area = 300 + 300 + 500 (i + ii + iii)

=> 1100

Therefore the total area of the shape = 1100 in squared.

Hope it helps :)

Find the slope… and can u explain how u got it.. mark brainliest:)

Answers

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

The point B(-6, -2) is rotated 90° counterclockwise
coordinates of the resulting point, B'?

Answers

Answer:

(2, -6)

Step-by-step explanation:

Draw a picture woth a point at (-6, -2)

the rotate it.

Help me - prime factorization of 136

Answers

Answer:

136 = 2³ x 17.

Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.

k heres the actual question

Answers

Answer:

It's most likely spposed to be 22

Step-by-step explanation:

Answer: 91.65

Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6

Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.

Let me know if this was correct!

A quantity with an initial value of 7200 decays exponentially at a rate of 0.3% every
day. What is the value of the quantity after 10 weeks, to the nearest hundredth?

Answers

Answer:5834.36 You're welcome

Answer:5834.36

Step-by-step explanation:

Please HELP if you can!

A sample of automobile dealerships found that 19% of automobiles sold are silver. If two cars are randomly selected, what is the probability that the color of the first car is silver and the color of the second car is also siver?
A. 0.361
B. 0.0361
C. 0.380
D. 0.190

Answers

Answer:

C 0.0361

Step-by-step explanation:

The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.

Given that,

A sample of automobile dealerships found that 19% of automobiles sold are silver.The color of the first car is silver and the color of the second car is also siver.

Based on the above information, the calculation is as follows:

[tex]= 0.19\times 0.19[/tex]

= 0.0361

Learn more: brainly.com/question/17429689

cos x = 4/5, cos y = 24/25, find tan(x+y)

Answers

Answer:

1 19/25

Step-by-step explanation:

4

5

+  

24

25

=  

4 × 5

5 × 5

+  

24

25

=  

20

25

+  

24

25

=  

20 + 24

25

=  

44

25

=  

1 19

25

If two sides in a triangle are congruent, the angles opposite the congruent sides are congruent angles.

True or False

Please make an answer and give brainliest and more points to 100 need it please!
Thank you

Answers

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Answer To It is True

Reason:- According To Isosceles Triangle Theorem:-

If two angles of a triangle are congruent, then sides opposite those angles are congruent.

Hope This Helps You ❤️

A rock climber is standing at the edge of a cliff looking down into a valley and sees a lion laying 120 feet from
the base of the cliff. The angle of depression of the rock climber to the lion is 35º. How high is the cliff in feet?

Answers

360 degrees
Hope this helps

What is the value of x?

Answers

Answer:

141°

Step-by-step explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°

Answer:

x equals 141°

Step-by-step explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

A gym owner has some purple weights and some white weights. The purple weights are 10 kilograms each, and the white weights are 6 kilograms each. The owner has 12 weights, and they weigh 84 kilograms in all. How many of each colour weight does he have?

Answers

Answer: [tex]3,9[/tex]

Step-by-step explanation:

Given

A gym owner has purple and white weights that measure 10 kg and 6 kg each

respectively.

They weigh 84 kg in total

suppose there x purple and y white weights

[tex]\therefore x+y=12\quad \ldots(i)\\\Rightarrow 10x+6y=84\quad \ldots(ii)\\\\\text{Solving }(i)\ \text{and }(ii)\\\\[/tex]

[tex]x=3,\ y=9[/tex]

Thus, there are 3 purple and 9 white weights.

Find the area of the shaded region.
00
please help!! i will mark brainliest, no links please!!

Answers

Answer:

180 i think

hope it helped

Answer:

area = 118.04 units²

Step-by-step explanation:

area of circle = πr² = (3.14159)(8²) = 201.06 units²

area of triangle:

corner angle - 60°/2 = 30°

sin 30° = m/8, m = 4

height of triangle = 4 + 8 = 12

cos 30° = n/8, n = 6.93, n = 1/2 base

base of triangle = 13.86

area of triangle = 1/2bh = 1/2(13.86)(12) = 83.02 units²

area of shaded portion = 201.06 - 83.02 = 118.04 units²

What is the correct answer?

Answers

Green 36 because you set 2x-8 = 64 and solve by adding 8 to both sides and getting 72 and dividing that by 2 which is 36


How many different sandwiches can be made from the following options?
4 types of bread
3 types of cheese
6 types of meat
a: 13
b: 72
C: 42

Answers

Answer:

72

Step-by-step explanation:

By using the fundamental counting principle, we can do 4 x 3 x 6 = 72 to find how many different sandwiches can be made.

What is the value of 3n +1 when n = 4?
A. 12
B. 13
C. 7
D. 8​

Answers

Answer:

B. 13

Step-by-step explanation:

3(4) + 1 = 13

Answer:

13

Step-by-step explanation:

3n=3x4=12

12+1=13

(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x

Answers

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

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