1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxTIMURxx [149]
3 years ago
11

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 an

d each large box has 400 nails. The contractor bought 3 times as many large boxes as small boxes, which altogether had 2700 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Mathematics
1 answer:
xeze [42]3 years ago
8 0

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:

  1. 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)
  2. 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
  • <u>X = 2 </u>

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

  • Y = 3X
  • Y = 3 (2)
  • <u>Y = 6</u>
You might be interested in
1. WILL MARK BRAINLIEST!!! HELP!​
MatroZZZ [7]

Answer:

\frac{7}{x+7}

Step-by-step explanation:

<u>Step 1:  Pull a 7 from the top</u>

<u />\frac{7x + 42}{x^2 + 13x + 42}

\frac{7(x + 6)}{x^2 + 13x + 42}

<u>Step 2:  Factor the bottom</u>

<u />\frac{7(x + 6)}{(x + 7)(x + 6)}

<u>Step 3:  Cancel the top (x+6) and the bottom (x+6)</u>

<u />\frac{7}{x+7}

Answer:  \frac{7}{x+7}

6 0
3 years ago
Tina was observing the changing heights of a ball as it bounced over time. She graphed the function on this coordinate grid to s
timama [110]

Answer:

Chicken nuggets

Step-by-step explanation:

sorry tryin to answer random questions for points please don't hate me

5 0
3 years ago
Read 2 more answers
Is 12 a prime or composite? (Can someone clearly explain what a prime and composite are?)
inn [45]
12 is a composite number.

Composite Number-A whole number that can be divided evenly by numbers<span> other than 1 or itself.

Prime Number- </span> A Prime Number<span> can be divided evenly only by 1, or itself. </span>
5 0
3 years ago
Read 2 more answers
What is a sane side interior angel
Mariulka [41]
When two parallel lines are intersected by a transversal line, forming the angles that are supplementary
3 0
3 years ago
Read 2 more answers
Clementine and Jake make cookies for the school bake sale. Clementine baked 72 cookies. Jake baked twice as many as Clementine.
Mariulka [41]

Answer:

The total number of cookies they baked altogether is 216 cookies

Step-by-step explanation:

Here, we want to know the number of cookies that they baked together

From the question, we are told that Clementine baked 72 cookies while Jake baked twice as much

what this mean is that the number of cookies baked by Jake will be (2 * 72) = 144 cookies

Thus, the total number of cookies baked by the two of them will be;

72 + 144 = 216 cookies

3 0
3 years ago
Other questions:
  • Randy has 2 tennis balls, 6 marbles, and 1 orange in his desk. What generalization can you make about these things
    6·2 answers
  • Easy one guys<br><br><br><br> 15 x 1 nd 1 half
    6·2 answers
  • Steven swam 200 meters in 25.7 seconds while Michelle finished in 28 seconds. How much faster did Steven swim than Michelle?
    13·1 answer
  • You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surpr
    15·1 answer
  • Hujknjk jk jjkjj help
    10·1 answer
  • 1.
    9·1 answer
  • (0, 2) (3, 8)<br> write an equation in slope intercept form
    7·1 answer
  • Three consecutive even numbers add up to 105 determine the product of the three numbers​
    7·1 answer
  • Brainly told me to type 20 characters.
    8·2 answers
  • A square acre of land is 5,280 square yards.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!