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

Evaluate using the order of operations. Enter the answer in simplest form. 15 × 3/8 + 5/8​

Answers

Answer:

6.25

Step-by-step explanation:

i looked it up

Answer:

13 1/8

#I'mSoSmart

#LOL

*SSQ*

Please Help?
If X = 5, what is the value of -2X + 2 + 5X + 8?​

Answers

-2X + 2 + 5X + 8?​

-2(5) + 2 + 5(5) + 8

-10 + 2 + 25 + 8

25

Answer: 25

Answer:

The answer would be 25.

Step-by-step explanation:

If x=5, that means:

-2(5)+2+5(5)+8

-10+2+25+8

-8+25+8

-17+8

25

Therefore, the value would be 25.

Hope this helps!!

Someone please help me will mark brainliest !

Answers

Answer:

0 10

1 20

Step-by-step explanation:

0,0

1,20

2,40

3,50

4 60

You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 5 minutes and you record the data point of ​(10​,y), what is the value of​ y? Use slope to justify your answer.

Answers

The slope to justify your answer is the value of y

PLEASE HELP!!! I GIVE TON OF POINTS!!! THANKSSS!! IM GIVING 20 POINTS FOR THIS PROBLEM!!!
On a bicycle, Wendy rides for 4 hours and is 42 miles from her house. After riding for 12 hours, she is 122 miles away. What is Wendy's rate in MPH??

Answers

Answer: 10.2 mph

Step-by-step explanation:

total runtime of the bike trip: 4hrs, 42 mi total

12 hrs has her 122 mi from home

our rate can be found by taking the miles and dividing it by the hours:

122/12 = 10.2

Marilyn's cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Marilyn send in a month if her bill was $52

Answers

Answer:

34

Step-by-step explanation:

52-35 = 17

$17 divided by $0.50 = 34 texst messages

what is the meaning of division

Answers

Answer:

the action of separating something into parts or the process of being separated.

"the division of the land into small fields"

Step-by-step explanation:

Hope this helps you if it does please mark brainliest

Step-by-step explanation:

the act of separating something into parts.

The area of the rectangle shown is 73 sq. Feet. Which equation can be used to find “x”.
A) 6x + 9 = 73
B) 2x + 18 = 73
C) 6x + 3 = 73
D) 6x + 18 = 73

Answers

Answer:

6x+18=73

Step-by-step explanation:

Rectangle area w*l

(x+3)*6=73

6x+18=73

Question: Expand 4(4k + 9)

Answers

Answer:

16k + 36

Step-by-step explanation:

4(4k + 9)

(multiply everything in the bracket by 4 because that's whats surrounding the bracket)

4k * 4 + 9 * 4

16k + 36

Please help quick! Find the value of x to the nearest tenth.

Answers

Answer: 3.3

Step-by-step explanation: pythagorean theorem.

first we'll do the bottom triangle. a^2 + b^2 = c^2

a=3 and b=4

(3)^2 + (4)^2 = 9 + 16 = 25 which = c^2

to find c from c^2, square root the c^2 value. in this case it's 25. the square root of 25 is 5.

5 is now the base of the rectangle

now we can do pythagorean theorem again. except we'll switch it so it's c^2 - b^2 =a^2

c=6 and b=5

(6)^2 - (5)^2 = 36 - 25 = 11 = a^2

to find a we'll square root 11 which is just [tex]\sqrt{11[/tex]. approx. 3.3 to the nearest tenth.

Answer:    x = √(11)   or  ≈ 3.3167

Step-by-step explanation:

We can use the Pythagorean theorem to solve for x.

But first, we have to find the value of 'a' (as I labelled in the diagram below). We could actually do all this in one step if we set it up correctly.

so    x = √(6² - a²)

&     a² = 3² + 4²

⇒  x = √[6² - (3² + 4²)]

    x = √(11)   or ≈ 3.3167

write the equation of the line that is parallel to y=2x+1

Answers

Answer:

y = 2x, y = 2x+2, y=2x+100, y=2x-57, etc.

Step-by-step explanation:

Any line with the same slope will be parallel.

The diagonal of a rectangle is 25in. The width is 15 in. What is the area of the rectangle

Answers

Answer:

10

Step-by-step explanation:

HELPPP THIS IS DUE SOON...actually its late BUT STILL HELP

Answers

Answer: 100 99/100

Step-by-step explanation: add the 1/2 and 1/5 together by finding a common denominator(10). 1/2 would become 5/10 and 1/5 would become 2/10. 2/10 + 5/10 =7/10. now we're left with (7/10)^2 +3/10 x 5

to do (7/10)^2 you square the top and bottom to give you 49/100.

next we'll do 3/10 x 5 which would equal 15/10. so now all we have left to do is add 49/100 and 15/10. to do this we'll find a common denominator of 100. so well multiply the top and bottom by 10 to give you 150/100.

finally, 49/100 + 150/100 = 199/100 or as a mixed number, 100 99/100

Answer:

1[tex]\frac{99}{100}[/tex]

Step-by-step explanation:

I would start by turning the parentheses fractions into one fraction.

You could do binomial multiplication and get [tex]a^{2} +2ab+b^{2}[/tex] but it might take longer.

So I would just turn them into one fraction by finding the common denominator.

The common denominator here is 10

[tex]\frac{1}{5} (\frac{2}{2} )=\frac{2}{10}[/tex]

[tex]\frac{1}{2} (\frac{5}{5} )=\frac{5}{10}[/tex]

Now add

[tex]\frac{2}{10} +\frac{5}{10} =\frac{7}{10}[/tex]

Now apply: [tex](\frac{a}{b} )^{2} =\frac{a^{2} }{b^{2} }[/tex]

[tex](\frac{7}{10} )^{2} =\frac{7^{2} }{10^{2} } =\frac{49}{100}[/tex]

Now, multiplying the other fraction we get [tex]\frac{3}{10} (5)=\frac{15}{10}[/tex]

Now turn this into a fraction with denominator 100 to add the two fractions

[tex]\frac{15}{10} (\frac{10}{10} )=\frac{150}{100}[/tex]

[tex]\frac{49}{100} +\frac{150}{100} =\frac{199}{100} =1\frac{99}{100}[/tex]

There is also another method to add or subtract fractions without multiplying to get a common denominator in case you are interested:

[tex]\frac{a}{b}[/tex]±[tex]\frac{c}{d}[/tex]=[tex]\frac{ad+bc}{bd}[/tex]

What would be the answer to the math equation e-mc2
(It is a subtraction sign) :)

Answers

[tex]e−mc {}^{2} [/tex]

Use the commutative property to reorder the terms

[tex]e - {c}^{2} m[/tex]

Please, please help!!

Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.

Answers

Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:

[tex]C = 0.8856y[/tex]

Decimal multipliers:The equivalent multiplier for an increase of a% is given by: [tex]\frac{100 + a}{100}[/tex]The equivalent multiplier for an decrease of a% is given by: [tex]\frac{100 - a}{100}[/tex]

In this problem:

Purchase for 18% off, hence decrease of 18%, that is, [tex]\frac{100 - 18}{100} = 0.82[/tex].Sales tax of 8%, hence, an increase of 8%, that is, [tex]\frac{100 + 8}{100} = 1.08[/tex].

Applying both multipliers, the expression is:

[tex]C = y(0.82)(1.08) = 0.8856y[/tex]

To learn more about decimal multipliers, you can take a look at https://brainly.com/question/19808269

1+19

Who Knows This Answer? :O

Answers

Answer:

20

Step-by-step explanation:

nah it might be 21

Obviously its 21 pfff

I need someone to explain to me how to solve this, because I need to show my work.

Answers

so to find the answer you have to know what the mixture is, what the trend is,

on day one he used 4 cans of blue and 6 cans of yellow

day two, 6 blue and 9 yellow

both are divisible by 2 and 3 respectively, additionally when you divide the number of blue cans Marc used by the number of yellow cans each day you get a sum of .66

those are the trends

so therefore day three would have the same trend.


Now on day three Marc will have 4 cans of blue paint and 5 cans of yellow paint remaining, what I did here to find the answer was divide numbers under 4 and 5 until I got a division problem that equaled .66

my answer was 2 blue cans and 3 yellow.

The answer is that on day three the highest number of cans that Marc can mix to get his favorite shade of green is 2 blue and 3 yellow

You have $190 to buy 8 model trains for
your train collection. Write and solve an
inequality that represents the prices you
can pay per train.

Answers

Answer:

8x; x ≤ $23.75

Step-by-step explanation:

You have to buy 8 trains with 190 dollars. You can't use more money or have more trains.

8x ≤ 190

Divide by 8 on both sides.

x ≤ $23.75 per train

Your welcome!

Kayden Kohl

8th Grade Student

If I could get help

Answers

Answer:

4m, 6m, 7m, 5m

Step-by-step explanation:

To find perimeter you just add the side lengths togeather.

−5(10) Helpppp please

Answers

Step-by-step explanation:

I will help you if you follow me

Answer:

-50

Step-by-step explanation:

all you do is -5 times 10

Which of the following is equivalent to 8 1/2 ?

Answers

Answer:

1 5/8 is equal to 13/8

Step-by-step explanation:

eighty four million nine hundred and six thousand five hundred and seventy one in numbers​

Answers

Answer:

84 ,906, 571

<3

84,906,571 is the answer

Miguel runs 5 miles in 38 minutes. At the same rate, how many miles would he run in 57 minutes?

Answers

7,5 miles

Step-by-step explanation:

5/x = 38/57

38x = 5 × 57

38x = 285

x = 285/38

x = 7,5 miles

20,612,439 in scientific notation

Answers

2.0612439*10^7 should be your answer

find the missing angle B

Answers

a) 50+b=180 (supplementary angles)

b=180-50

b=130

b) b= 43° { vertically opposite angle}

HELP PLEASE

Which lines are perpendicular to the line y – 1 =1/3(x+2)
y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – Five-thirds
y = One-thirdx – 2
3x + y = 7

Answers

Answer:

Answer should be a.

Step-by-step explanation:

I will brainlist who can answer this 3 Questions!​

Answers

Answer: 20. A 21. C 22. B

Step-by-step explanation: image attached below for explanation

what number will get you 21.51

Answers

Answer:

10.755

Step-by-step explanation:

10.755+10.755=21.51

Answer:

Step-by-step explanation:

a few examples

21 + 0.51

22 - 0.49

10.75 × 2

4.637^2

43.02 ÷ 2

etc....


Write an expression that represents the perimeter.
Simplify your perimeter expression as much as possible.
a.
X
у
X
a
b
8x + 4y + 4
2x + y +2
4x + 2y + 6
с

Answers

answer:c
4x+2y+6

4 x lenth
2 y length
6 1 length

Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.

Answers

A line can be drawn by joining the plot of the two given points

Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2

Reason:

Given points on the line are (-5, 3) and (-1, -1)

From the given points, the graph of the line can be plotted with MS Excel

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

The equation of the line in  slope and intercept form is y = -x - 2

Learn more here:

https://brainly.com/question/2088114

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