on monday it took 5 builders to 3 1/2 hours to build a wall
on tuesday an identical wall was built but only 2 builders were available
each builder is paid £9.30 for each hour or part of and hour they work
work out how much each builder will be paid for the work completed on tuesday

Answers

Answer 1

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took [tex]3\dfrac{1}{2}[/tex] hours  ( i.e. [tex]\dfrac{7}{2}[/tex] 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 : [tex]x_1y_1=x_2y_2[/tex]

Let x be the time taken by 2 builders, then

[tex]2\times x =5\times \dfrac{7}{2}[/tex]

[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]

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 .


Related Questions

How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?

Answers

Answer:

We decreased by 37%

Step-by-step explanation:

Let x be the starting temperature

We decrease by 10 percent which means we are left with 100-10 =90 percent

.90 x

Then we decrease by 30 percent, 100 - 30 = 70

( .90x) * .70

.63x

We  have .63 of the original left or 63%

100 -63 = 37

We decreased by 37%

Answer:

37% and it decreased

Step-by-step explanation:

box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar

Answers

Answer:

A. Interquartile

Step-by-step explanation:

Answer:

A: interquartile range

Step-by-step explanation:

edg2020

P(A) = .20 P(B) = .25 P(A and B) = .10 What is P(B given A)

Answers

P(B given A) = P(A and B) / P(A)

P(B given A) = 0.10 / 0.20

P(B given A) = 0.50

Determine the slope of the lines parallel and perpendicular to -4x+3y=11

Answers

Answer:

parallel = 4/3

perpendicular =-3/4

Step-by-step explanation:

Solve for y

-4x+3y=11

Add 4x to each side

3y = 4x+11

Divide by 3

y = 4/3 x +11/3

This is in the form y = mx+b where m is the slope

m =4/3

The parallel line has the same slope

parallel slope is 4/3

The perpendicular line has a negative reciprocal slope

m = -(1 /4/3) = - 3/4

Answer:

[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 11 ( add 4x to both sides )

3y = 4x + 11 ( divide all terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

slope of parallel line = [tex]\frac{4}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]

*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.

Answers

Answer: b) 384 sq. in.

Step-by-step explanation:

Surface area of cube = 6a^2

= 6 (8)^2

= 6 x 64

= 384 sq. in.

b. 384

The area of one square on the cube is 8*8=64
There are 6 faces, so 6*64=384

Simplify (x4y)3. help

Answers

Answer:

the answer would be. 12xy

Answer:

12xy

step-by-step explanation:

Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?

Answers

Answer:

  infinitely fast

Step-by-step explanation:

To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.

Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)

_____

  speed = distance/time

Multiplying by 2, we get ...

  2×speed = 2×distance/time . . . . . the time hasn't changed

Which distribution is positively skewed?​

Answers

Answer:

D

Step-by-step explanation:

not positive but i think it would be D

Option C is the distributions are positively skewed.

Since, A distribution that is positively skewed would have the following highlights:

More points on the left, if represented on a dot plot

Tall bars on the left, if represented on a histogram

Whisker on the left, if represented on a box plot

The above means that none of the distributions are positively skewed.

This is so because:

A is negatively skewed because the whisker is at the right

B and C are symmetrical because there are tall bars at the middle

D is positively skewed because the whisker is at the left.

Hence, Option D is the distributions are positively skewed.

Read more about skewness at:

brainly.com/question/24309209

#SPJ2

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Answers

Answer:

Step-by-step explanation:

R is between (-3) & (-4)

So, R = - 3.5

Answer:

Step-by-step explanation:

R= -3.5

How many integers lie between:
-1.25 and 2.6

Answers

Answer:

4

Step-by-step explanation:

An integer is a number that is not a decimal or a fraction.

The integers that lie between -1.25 and 2.6 are -1, 0, 1, and 2. They are all numbers with no decimal or fraction.

So, there would be 4 numbers that lie between -1.25 and 2.6.

Answer:

1

Step-by-step explanation:

A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is

A)16:3
B)3:1
C)8:3
D)3:8​

Answers

8:3 is the correct answer

A group of friends decide to buy bulk chocolate from a candy store. If some friends each want 15/13 kilograms of chocolate of the 30 kilograms purchased, then how many people can get a share of chocolate?

Answers

Answer:

Se elas quererem 15, duas pessoas. Mas, se quiserem 13, 2,3076923077

Step-by-step explanation:

30 dividido pra 2 dá 15.

how would i do number 2?

Answers

Answer:

m=2

Step-by-step explanation:

When you put a number into the inverse of a function (f^-1) you get the original number back.

Ex: f^-1(11) = (11-3)/2 = 4

f(4) = 2×4+3 = 11

So, f(-5)=-2

So, when x is -5,

f(x) = -2

f(x)=m(-5)+8

-2=m(-5) + 8

m=2

Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?

Answers

Answer:

6:3

Step-by-step explanation:

the ratio of Quinn's throws to Sam's throws would be 6:3

Answer:

2:1

Ratio of Quinn's free throws to Sam's free throws

50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.

Answers

Answer:

1st Graph

Step-by-step explanation:

Parent Graph of Exponentials: f(x) = a(b)^x + d

Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.

Alternatively, we could graph the equation and choose the best fit:

Answer:

Step-by-step explanation:

 f(x) = a(b)^x + d

The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Answers

Answer:

5.1

Step-by-step explanation:

I think im not shure

Answer:

5.05050505....% so about 5.1%

Step-by-step explanation:

Hope this helps!

ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer: 257/16

Step-by-step explanation:

You are given the algebraic expression: m^4+ 1/m^4

if m− 1/m = 3

Solve for m by cross multiplying

m - 1 = 3m

Collect the likes terms

3m - m = -1

2m = -1

m = -1/2

Substitutes m into the algebraic expression above.

(- 1/2)^4 + 1/(- 1/2)^4

Open the bracket

1/16 + 1/(1/16)

1/6 + 16

16(1/16) or 257/16

(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

Answers

Answer:

X = 1, 2.

Step-by-step explanation:

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.

Hope this helps!

the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3​

Answers

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°

Answers

Answer:

B) 122 degrees.

Step-by-step explanation:

Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:

9x - 5 + 14x + 24 + 90 + 90 = 360

9x - 5 + 14x + 24  = 180

23x + 19 = 180

23x = 161

x = 7

So the obtuse angle = 14(7) + 24

= 98 + 24

= 122 degrees.

please help for math​

Answers

Answer:

2.35 m²

Step-by-step explanation:

Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.

1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width

1 m · 2 m = 2 m²

2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)

3.14(0.5)² = 0.785

0.785 ÷ 2 = 0.3925 m²

3. Combine the total area

2 + 0.3925 = 2.3925

4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)

0.2² = 0.04 m²

5. Subtract the area of the square from the total area

2.3925 - 0.04 = 2.3525

2.3525 rounds to 2.35 m²

The answer is 2.35m2

The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.

Answers

Answer:

B. The variable s represents the number of students in each class.

C. The coefficient 14 represents the number of classes in the 9th grade.

Step-by-step explanation:

The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5  colored ropes the total number of ropes will be 5*5= 25.

In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30

We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.

Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT

Answers

Answer:

Correct Answers: D,C,B

Step-by-step explanation:

I took the test and got these as the right answers Hope this helped if not I tried

What is a number of subsets for the set which contains the 10 elements.

Answers

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!

Answers

Answer: 16

Step-by-step explanation:

The 7 and the 9.

Look closely

If sin(21°) = 0.36, and cosθ = 0.36, what's the measure of ∠θ? ANSWERS: A) m∠θ = 21° B) m∠θ = 0.36° C) m∠θ = 90° D) m∠θ = 69°

Answers

Hey there! :)

Answer:

m∠θ = 69°.

Step-by-step explanation:

If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:

90 - 21 = 69°.

The correct answer is D) m∠θ = 69°.

5*2568?252+2626*25625-26236

Answers

Answer:

if the ? is suppose to be a + then the answer is : 67278106

Step-by-step explanation:

i need help i cant do this somebody plz A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?

Answers

All you have to do is divide by 18 to find the speed at which they work per hour since they worked 18 hours. Your answer would be 15miles/18hours= 0.83miles per hour

< B is opposite

А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA

Answers

A. AC because of how it is directly across from the Angle

The angle ∠B is opposite AC in the triangle.

Option A is the correct answer.

We have,

From the triangle,

There are three angles:

∠A, ∠B, and ∠C.

And,

The sides opposite to each angle are:

AC is opposite ∠B

AB is opposite ∠C

BC is opposite ∠A

Thus,

The angle ∠B is opposite AC in the triangle.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Can you help me fill in the blanks

Answers

Answer:

Here is the full proof:

AB || DE  Given

∠B = ∠D  Alternate interior angles theorem

∠A = ∠E   ↑

C is the midpoint of BD Given

BC = CD Definition of midpoint

ΔCBA ≅ ΔBDE    SAA

AC = CE   CPCTC

C is the midpoint of AE  Converse of definition of midpoint

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