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
SOVA2 [1]
4 years ago
13

Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr

. Vella became ill and left the job for his apprentice to complete. How many days did it take the apprentice to finish the wall?
Mathematics
1 answer:
Vitek1552 [10]4 years ago
6 0
Mr. Vella can build the wall in 4 days, however only works on it for 3 days. That means that he has completed 75% of the and is leaving 25% for his apprentice.

We need to figure out how long it takes the apprentice to build 25% of a wall. We know he can build 100% of a wall in 6 days, so dividing 6 days by 4 will give us our answer.

6/4 = 3/2 = 1.5 days

It took the apprentice 1.5 days to finish the wall.
You might be interested in
My 11 year old came home with this math problem. 1.5 [ 3( 14.5 +7 ) -3 ] - 7.4
nikitadnepr [17]

The solution of given problem 1.5 [ 3( 14.5 +7 ) -3 ] - 7.4 is 84.85

<em><u>Solution:</u></em>

Given problem is:

1.5 [ 3( 14.5 +7 ) -3 ] - 7.4

We have to use BODMAS rule to solve the problem

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Thus in the given problem, first we have to solve for brackets

Add 14.5 and 7 inside the brackets

\rightarrow 1.5 [ 3( 14.5 +7 ) -3 ] - 7.4\\\\\rightarrow 1.5 [ 3(21.5) - 3 ] - 7.4

Multiply 3 with 21.5

\rightarrow 1.5[64.5-3] - 7.4

Now again solve for brackets by subtracting 3 from 64.5

\rightarrow 1.5 \times 61.5 - 7.4

Now perform multiplication of 1.5 and 61.5

\rightarrow 92.25 - 7.4

Now perform subtraction

\rightarrow 92.25 - 7.4 = 84.85

Thus the solution of given problem is 84.85

7 0
4 years ago
Bonjour pourriez vous m'aider avec cette équation du second degré? j'ai du mal à comprendre le concept. merci
olga_2 [115]

If a quadratic equation has solutions, the standard procedure will always work: given an equation like

ax^2+bx+c=0

The solutions (if any) are given by

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

In your case, you have

a=-9,\ b=0,\ c=1

So the formula becomes

x_{1,2} = \dfrac{\pm\sqrt{36}}{18}= \pm\dfrac{6}{18}=\pm\dfrac{1}{3}

Anyway, this is quite a special case, because you're missing the linear term (since b=0)

This means that you can solve equations like these more easily: rearrange the equation to make it look like ax^2=c. In your case, it becomes

9x^2=1

Divide both sides by 9:

x^2=\dfrac{1}{9}

Now, you know that the square of a number equals 1/9. By definition, it means that this number is the square root of 1/9. Nevertheless, both the square root and its opposite are solutions of the equation, because the minus sign will cancel out when squaring.

So, in general, you have

ax^2=c \iff x^2 = \dfrac{c}{a} \iff x=\pm\sqrt{\dfrac{c}{a}

which of course makes sense, if you're using real numbers, only if c/a>0.

In your case, this becomes

9x^2=1 \iff x^2 = \dfrac{1}{9} \iff x=\pm\sqrt{\dfrac{1}{9}} = \pm\dfrac{1}{3}

3 0
3 years ago
Convert 45 miles per hours to feet per minutes
Gnoma [55]

Answer:

3960 feet per minute

Step-by-step explanation:

multiply the speed value (45) by 88

4 0
3 years ago
Read 2 more answers
Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7
Helga [31]

<u>Answers </u>

Part 1 = 2/9


Part 2 =5/9


Part 3 =7/9



<u>Explanation</u>

To convert the a repeating decimals this are the steps;

Part 1

Let x = 0.222222... (i)

10x = 2.222222... (ii)


Subtract equation (i) from equation(ii)


10x = 2.222222....

<u> -x = 0.222222....</u>

9x = 2.00000..


∴ 9x = 2

Divide by 9 both sides;


x = 2/9


Part 2

Let x = 0.5555...

10x = 5.5555...

subtract equation (i) from equation (ii).


10x = 5.5555..

<u> - x = 0.5555..</u>

9x = 5.0000..


∴ 9x = 5

x = 5/9


Part 3

Let x = 0.7777....

10x = 7.7777...


Subtracting equation (i) from equation (ii)


10x = 7.7777...

<u> -x = 0.7777...</u>

9x = 7.000..


∴ 9x = 7


x = 7/9


Pattern noted

When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.

5 0
4 years ago
Need a word problem for -1/2 x 12
serg [7]
One half times twelve
3 0
3 years ago
Other questions:
  • the snack shack is making a batch of trail mix. they use 9 1/3 pounds of granola, 9 1/3 pounds of mixed nuts, and 9 1/3 pounds o
    8·1 answer
  • What is the paremiter of a 4' square
    15·2 answers
  • A gardener is fencing off a rectangular area with a fixed perimeter of 72 ft.What is the maximum area?
    10·1 answer
  • Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va
    14·1 answer
  • A sales manager has ieekends off and has 20 paid vacation days per year.
    6·2 answers
  • What is the median value of the data set shown on the line plot?<br> LMK answer fast!!
    9·1 answer
  • Solve sin 20 = COS CE-30)​
    15·2 answers
  • The polynomial g (x) is divide by binomial. The result is shown x square -3x+3+-9/3x+2. What is g (x)
    14·1 answer
  • Find the slip of the life that passes through the two points (7,-10) and (-6,16)
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B1%7D%7B3%7D%20x%3Dx-1" id="TexFormula1" title="\frac{3}{5}
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!