A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

Answer 1

Answer:

The number of small and large boxes purchased are:

2 small boxes.

6 large boxes.

Step-by-step explanation:

To solve the unknowns, two equations must be established with the information provided:

150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)

Y = 3X (Large boxes are triple the small ones)

Then equation 2 is replaced in equation one and variable X is cleared:

150X + 400 (3X) = 2700

150X + 1200X = 2700

1350X = 2700

X = 2700/1350

X = 2

Finally, the value of X is replaced in equation 2 to find the number of large boxes:

Y = 3X

Y = 3 (2)

Y = 6

PLS MARK AS BRAINLIEST :)


Related Questions

how do you decide which rational number operations to use to solve the problems?

Answers

Answer:

The process of "choosing the operation" involves deciding which mathematical operation (addition, subtraction, multiplication, or division) or combination of operations will be useful in solving a word problem.

Step-by-step explanation:

please whats-2 5/ 11 - 7 1/11

Answers

Answer:

=-2(5/11)-7(1/11)

=-10/11-7/11

=(-10-7)/11

=-3/11

3. Explain each of the following.
a) Pre-image
b) Image
c) Rigid motion

Answers

Answer:

pre-image: the image before any transformation is applied

image: the new image after a transformation or series of transformations have been applied

rigid motion: is a sequence of transformations (rotation, reflection, translation).

Evaluate the expression for the given values of the variables.(n + 5)^2 for n = −7


When n = −7, the expression is equal to...

Answers

4

Step-by-step explanation:

(n + 5)² for n = -7

= (-7 + 5)²

= (-2)²

= 4

a square's area is 3 times its perimeter. Find the dimensions of the square.

Answers

the length of one side is 12 units

How many solutions does the equation have?

Answers

Answer:

Infinitely many

Step-by-step explanation:

They both equal the same equation

Answer:

All real numbers are solutions.

Step-by-step explanation:

4(z−5)+2=4z−18

Step 1: Simplify both sides of the equation.

4(z−5)+2=4z−18

(4)(z)+(4)(−5)+2=4z+−18(Distribute)

4z+−20+2=4z+−18

(4z)+(−20+2)=4z−18(Combine Like Terms)

4z+−18=4z−18

4z−18=4z−18

Step 2: Subtract 4z from both sides.

4z−18−4z=4z−18−4z

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

45 is what percent of 60 as an equation

Answers

Answer:

75% of 60 = 45

Step-by-step explanation:

In order to find the answer to this question you need to divide the percentage of the number by one-hundred and then divide that number by the number the number you are trying to find the percentage of.

60/x=100/75

(60/x)*x=(100/75)*x        

60=1.33333333333*x      

(1.33333333333) to get x

60/1.33333333333=x

45=x

x=45

75% of 60 = 45

Hope this helps.

The answer is 75%


Explanation: 45 x 100 = 4,500
4,500 divided by 60 = 75

what integer represents sahan withdrawing $250?

Answers

Answer:

-250

Step-by-step explanation:

On a cold day, the temperature in a certain city changed −23.8°F over 6.8 hours. What was the average change in temperature per hour? Enter your answer as a decimal in the box.

Answers

Answer:

-2.5 :3

Degrees Farenheit!

Step-by-step explanation:

k12

hope this helped!

Please give me the crown.

~Happy Helper~

Based on the temperature change and the amount of time it did so, the average change in temperature per hour is -3.5°F.

The average change in temperature per hour can be found by:

= Temperature change / Number of hours

Solving would give:

= -23.8 / 6.8

= -3.5°F

We can therefore conclude that in every hour of this cold day, the temperature changed by an average of -3.5°F.

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Quick question for you whats 1+3-4x0÷4+3-1+9÷4

Answers

Answer:

8.25

Step-by-step explanation:

Find the distance between M(6, -7) and a line that contains
C(-6, -2) and H(-1, 10).

Answers

Answer

Step-by-step explanation:

i really need help with it

The distance between M and C is √61 and distance between M and H is  13√2.

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

Assume that 'd' is the distance between A and B.

d =√(x2 - x1)² + (y2 - y1)²

Given coordinates:

M(6, -7) and a line that contains C(-6, -2) and H(-1, 10).

Now, distance between M and C

=√(-6 -6)² + (-2 + 7)²

=√36 + 25

= √61

and, MH

=√(-1-6)² + (10 +7)²

=√49+ 289

= √ 338

= 13√2

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Answers

R 44444444444444444444444444444

Let C be the event that a randomly chosen person went to college. Let J be the event that a randomly chosen person has a job. Identify the answer which expresses the following with correct notation: Given that the person went to college, the probability that a randomly chosen person has a job.

Answers

The probability of event J, followed by event C is occurred is P( J | C)

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.Trial: To conduct a trial is to conduct a random experiment.

The given case is case of Conditional Probability.

As, the probability of random chosen person has a job 'j' followed by the person went to the college 'c'

The, the probability of event J, followed by event C is occurred is

= P( J | C)

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Someone plz help me :(

Answers

Answer:

A

Step-by-step explanation:

Because those points are bold. So these are the given points

Can anybody please help me with Rates PLEASE

Answers

Answer:

6 miles

Step-by-step explanation:

Please help immediately
Show your work

Answers

Answer:

a + 7

Step-by-step explanation:

x^2 + 2x - 8. on [5,a]

(f(a)-f(5))/( a - 5 )

(( a^2 + 2a - 8 ) - 27 ) / a - 5

( a^2 + 2a - 35 ) / a - 5

(a - 5)(a + 7) / a - 5

a + 7


In 60 seconds , Darrell walks 90
90
meters. Describe the unit rate at he wall

Answers

Answer:

1.5 sec by meters

Step-by-step explanation:

90 meters/60 sec=1.5

Darrel walks at a unit rate of 1.5 m/sec.

What is speed?

Speed is defined as the rate of change of position in unit time.

Mathematically,

Speed = Distance/Time

Now it is given that,

Distance in walk by Darrell = 90 meters

Time taken by Darell to walk 90 meters = 60 seconds

Therefore Speed i.e unit rate of walk is given as,

Unit rate of walk = Distance in walk by Darrell / Time taken by Darell to walk 90 meters

⇒ Unit rate of walk = 90/60 m/sec

⇒ Unit rate of walk = 3/2 m/sec

⇒ Unit rate of walk = 1.5 m/sec

Thus, Darrel walk at a unit rate of 1.5 m/sec.

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what is the distance between each pair of points. round to the nearest hundredth

(-8, -2) and (6, -1)

Answers

Answer:

square root of 197

Step-by-step explanation:

Which equation does the graph below represent?

A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 10 to positive 10 in increments of 2 for each grid line. A line is shown passing through the ordered pairs negative 4, 8 and 0, 0 and 4, negative 8.

y = −2x
y = fraction negative 1 over 2x
y = 2x
y = fraction 1 over 2x

Answers

Answer:

y = -2

Step-by-step explanation:

The graph passes through (0,0) and (-1,2).

The equation of a line passing through the origin is of the form,

y = mx

We now substitute (-1,2) to obtain,

2 = -m

This implies that,  

m = -2

The equation is

y = -2

I also took the test I got it right

A bird was perched on a tree at a height of 12 feet. The bird then saw food on a branch below and
dropped down 4 feet. What is the current height of the bird?

Answers

Is it 8 feet? If a bird was 12 feet high than dropped 4 feet all you would need to do is 12-4 than add the feet bit. 12-4 equals 8 btw.

6-3(x+2)>15 solving inequalities

Answers

Answer:     x  < - 5

Step-by-step explanation:

6-3(x+2) > 15         [substract six from both sides]      

  -3(x+2) > 15 - 6   [divide both sides by -3; flip greater than sign to less than]

         x + 2 < - 3    [subtract two from both sides]

              x  < - 5

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Can anyone help with this algebra graphing problem???

Answers

Dennis ihbqceubb So easy man search it up duhh

Which of the following is true?

Answers

Answer: C

Step-by-step explanation: I hope its right mark me brainliest plss

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

FG is an altitude of Triangle EFH

19) If manish saves 40% percent of his monthly income and he spends Rs. 15,000 every month, find his monthly income.​

Answers

Answer:

Rs 25000

Step-by-step explanation:

Saves 40%

Spends 60%

Spending 60% = 15000

If 60% = 15000

Then divide it by 6 to get 10%

10% = 15000 ÷ 6

10% = 2500

100% = 25000

−3−(−5) what is the answer to this problem ive tried everything

Answers

Answer: 2

Step-by-step explanation:

help me with this smart math people

Answers

Answer:8.72

Step-by-step explanation:

26.16/3=8.72

Answer:

Cost per pound = $8.72

Step-by-step explanation:

Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.

$26.16 ÷ 3 pounds = $8.72 per pound of turkey

Higher Order Thinking A full tank that holds 11.6 gallons of
gasoline is using 1.45 gallons per hour. Is the tank more than
half full of gasoline after 3.5 hours? Explain your answer

Answers

Answer:

Yes ! After 3.5 hours, it will be over half full !

Step-by-step explanation:

In the photo :)

matthew paid 49.45 for 5 used video games of equal cost. the relationship between the number of video games and the total cost is proportional. what is the total cost for 11 used video games? use any strategy

Answers

Answer:

$108.79

Step-by-step explanation:

49.45÷5=9.89

9.89=the cost for 1 video game

9.89×11=108.79

(11=the used video games)

The answer would be $108.79 for 11 used video games.

One factor of f(x) = x^3 - 3x^2 - 28x + 60 is (x - 6). What are the zeros of the function? Please show and explain all your steps. Thank you for your help.

Answers

Answer:

Step-by-step explanation:

f(x) = x^3 - 3x^2 - 28x + 60

x(x^2-3x-28)+60

Factor the inside of the parenthesis

Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.

x(x-7)(x+3)+60

Roots: 0,7,-3,6

Also you can plug your function into Desmos and see where it crosses the x-axis.

Which is the correct label of the parallel lines? Parallel lines a and b are shown. Points A and B lie on line a while points C and D lie on line b. The letters a and b are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A A. There is another horizontal line with arrows on either end over the letters C B. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs. There is a horizontal line over the letter A with one arrow on the right end. There is a horizontal line over the letter B with one arrow on the right end. The letters are separated by two vertical lines. There is a horizontal line with arrows on either end over the letters A B. There is another horizontal line with arrows on either end over the letters C D. A vertical line with a horizontal line intersecting it at the bottom separates the two pairs.

Answers

Answer:

b

Step-by-step explanation:

right

a || b will be the correct label for the parallel line so option (A) will be correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

Given the two lines a and b as parallel.

If we want to show any two lines as parallel then we use |the | sign in between them.

Now in the given figure, A B C D are points on lines a and b so they will not be used to show parallel lines.

Hence "a || b will be the correct label for the parallel line".

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The given question is missing graph the graph shown below,

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