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
Artemon [7]
3 years ago
9

On monday it took 5 builders to 3 1/2 hours to build a wall

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took 3\dfrac{1}{2} hours  ( i.e. \dfrac{7}{2} hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : x_1y_1=x_2y_2

Let x be the time taken by 2 builders, then

2\times x =5\times \dfrac{7}{2}

\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

You might be interested in
Kate sold 12 of her paintings and purchased 7 more. if kate has 21 paintings now, how many paintings did she have to begin with?
kicyunya [14]
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21. 

                                           x - 5 = 21      ; x = 26

Thus, Kate initially had 26 paintings. 
7 0
3 years ago
X^2-8x+10=-4 quadratic equation written in standard form
ASHA 777 [7]
Rewriting the formula in standard form would be x^2-8x+14=0
3 0
3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Oliga [24]

Answer:

\displaystyle 1)48.2    \:  \: \text{sec}

\rm \displaystyle  2)3021.6 \: m

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

\displaystyle  - 4.9 {t}^{2}  + 229t + 346 = 0

to solve the equation can consider the quadratic formula given by

\displaystyle x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4 ac} }{2a}

so let our a,b and c be -4.9,229 and 346 Thus substitute:

\rm\displaystyle t =  \frac{ - (229) \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

remove parentheses:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

simplify square:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}

simplify multiplication:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 6781.6} }{ - 9.8}

simplify Substraction:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 45659.4} }{ - 9.8}

by simplifying we acquire:

\displaystyle t = 48.2  \:  \:  \: \text{and} \quad  - 1.5

since time can't be negative

\displaystyle t = 48.2

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

\displaystyle x _{  \text{max}} =  \frac{ - b}{2a}

let a and b be -4.9 and 229 respectively thus substitute:

\displaystyle t _{  \text{max}} =  \frac{ - 229}{2( - 4.9)}

simplify which yields:

\displaystyle t _{  \text{max}} =  23.4

now plug in the maximum t to the function:

\rm \displaystyle  h(23.4)- 4.9 {(23.4)}^{2}  + 229(23.4)+ 346

simplify:

\rm \displaystyle  h(23.4)  =  3021.6

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0
2 years ago
A train leaves at 11:32 and arrives at 13:24. It travelled at an average speed of 85 km/h.
Blababa [14]

Answer:

<h2>33.2Km</h2>

Step-by-step explanation:

<h3>Time used for journey = </h3>

13 : 24 - 11 : 32 = 1 : 92

1 : 92 = 1 hour 92 minutes

1 hour 92 minutes = 2 hours 32 minutes

<h3>changing 32 minutes to hours</h3>

1 h = 60 min

x = 32 min

x= 32 /60

x= 8/15 hours

<h3>Adding the 2hours to 8/15 hours</h3>

8/15 h + 2 h = 38 / 15

<h3>Using formula for distance</h3>

Distance = Speed × Time

Distance = 85km / h × 38 /15 h

Distance = 33.15 km

To 1DP = 33.2

3 0
2 years ago
The cost to join a yoga studio is $125, plus there is an additional $90 per month fee. If Kennedy has spent
Yuki888 [10]
215 +257 =15
Hope that work
4 0
3 years ago
Read 2 more answers
Other questions:
  • URGENT!! DESPERATE!! GEOMETRY REFLECTIONS!!! PLEASE INCLUDE EXPLANATION BOGUS ANSWERS WILL BE REPORTED
    9·1 answer
  • How do you solve 3 = x + 3 + 6x?
    6·2 answers
  • What are the domain and range of f(x) = -log5(x + 2)?
    8·1 answer
  • Can someone explain this
    9·1 answer
  • Someone please help me
    7·1 answer
  • Ian wanted to display some photos of his recent vacation to Surf City Beach. He used seashells he collected at the beach to deco
    15·1 answer
  • Which is NOT true?<br> A. 16 + 3 = 11 + 8<br> B. 16 = 16<br> C. 16 - 4 = 7 + 6<br> D. 16 = 19 - 3
    11·2 answers
  • Solve. Show work<br><br> Y = -1/2 (-2) + 2
    14·2 answers
  • Need help with <br> 46.<br> 47.<br> 48.<br> 49.<br><br> Fast pls I need it done now please!
    10·2 answers
  • What is (9 x2/3) x2/3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!