Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?

Answers

Answer 1

Answer:

5 days

Step-by-step explanation:

This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.

Let's say the time (in days) needed by the eleven workers is t,

5*20 = (3*10) + (14*t)

100 = 30+14t

70 = 14t

5 = t

It will take the eleven-workers 5 more days to finish the road.


Related Questions

denny's average heart rate is 120 beats per minute what is the ratio of his heart beats per minute with heart beat per second?​

Answers

Ratio of heart beats per min with heart beats per second is -> 120:2

Need help thank you

Answers

D. - times the square root of 5 because the negative acts as a negative 1

find the volume of a right prism with base area 32 cm² and height 1.5 cm

Answers

Answer:

1536

Step-by-step explanation:

volume=baseareaxheight

. =32cmsquarex1.5cm

. =1536cm

If the answer is correct please vote



Translate and solve: 220% of what number is 3300?

Note: Enter your answer as a whole number.

Answers

We have, 220% × x = 3300
or,
220
100
× x = 3300
Multiplying both sides by 100 and dividing both sides by 220,
we have x = 3300 ×
100
220
x = 1500
If you are using a calculator, simply enter 3300×100÷220, which will give you the answer.

Hewwo!
Guys I needa little help!
[tex] \rm \: cos \: 45 + sin \: 160[/tex]

Answers

Answer:

The Answer is: 0.744747

Step-by-step explanation:

cos 45 + sin 160

0.525322 + 0.219425

0.744747

hope this helps if it wasn't too late lol

2. The bases of the trapezisid (x-14) cm and (x+2) cm ats medien is 30 cm long, how long is the shorter base​

Answers

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.

Evaluate the equation. H divided by 3 = 69 2/3

Answers

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³

Answers

Step-by-step explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

Answer:

64

Step-by-step explanation:

Given :

a = 2 - √5/2 + √5b = 2 + √5/2 - √5

Evaluating (a + b)³ :

(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64

4.) Which of the following correctly describes the line y = 5?
(1) It is parallel to the x-axis
(2) It is parallel to the y-axis
(3) It is diagonal with a slope of
(4) It has no y-intercept

Answers

1. It is parallel to the x-axis.

Answer:

It is parallel to the x-axis

Step-by-step explanation:

................

Which of the following is equal to tan O using coordinates on the unit circle?

А) У/ х
B) xly

C) x
D) y

Answers

The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the base side, (b) is the opposite side.

Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:

[tex]\tan\theta=\dfrac{y}{x}[/tex]

Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

Learn more about the right angle triangle property here;

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Help me plsssssssssssssss

Answers

2:2/3=>1:1/3=>3:1

15/2:2*1/2=>15/2:5/2=>3:1

2*1/2:5/6=>5/2:5/6=>1/2:1/6=>3:1

I hope this answer helpful. If you don’t understand ask me in comment.

mZR
R
S
10x - 8
98 °
12x + 4
Q
T

Answers

Answer:

m∠R = 72°; m∠U = 65°

Step-by-step explanation:

We know that in any quadrilateral, the total sum of the angles will always add up to 360°.

For number 26, we can use this equation to find x and m∠R:[tex]90+98+12x+4+10x-8=360\\(90+98+4-8)+(12x+10x)=360\\184+22x=360\\22x=176\\x=8[/tex]

m∠R = 10 (8) - 8 = 80 - 8 = 72°

For number 28, we can use this equation to find x and m∠U

[tex]96+88+11x+1+7x-5=360\\(96+88+1-5)+(11x+7x)=360\\180+18x=360\\18x=180\\x=10[/tex]

m∠U = 7 (10) - 5 = 70 - 5 = 65°

Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
A./(x) = 5x² - 2x+1
B./(x) = 6x³+4x² - 15x+32
G./(x) = 7x"=2x+3x²+8x-10
D. /(x) = 8x6 +- 1

Answers

Answer:

f(x) = 8x^6 + 1

Step-by-step explanation:

We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1

There are two things to keep in mind here.

The polynomial grows quicker as the exponent increases.

When a negative integer is evaluated with an even exponent, the result is always positive.

Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:

Calculus, factor the given polynomial.

Answers

Answer:

( x-7) (x-9)

Step-by-step explanation:

x^2 -16x+63

What are the possible number that multiply to 63 and add to -16

-9 * -7 = 63

-9+-7 = -16

( x-7) (x-9)

(X-7)(x-9) are the factors for the polynomial

Can someone please help me with this

Answers

Answer:

First step, find the missing angle (you will need this later on)

We know that the sum of all angles in a triangle equals to 180°, so

180° - 65° - 40° = 75° *that's your angle (next to the point L)

Now, identify each side (as shown in my drawing attached to this message)

The law of sines tells us that

(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.

So,  

pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)

*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.

*Notice that the sine of the angle relates to the length of the coloured sides

Calculate the following: sin 75, sin 40, sin 65.

Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.

Thus, sin 40 < sin 65< sin 75

Which corresponds to (from smallest to largest):

blue side, yellow side, pink side

*Now, write your answer in a mathematical format (using J,L,K points)

blue = JL (explanation: it connects the two points, LJ is also a valid answer)

yellow = LK

pink= JK

ANSWER: JL, LK, JK

Step-by-step explanation:

Use the Law of Sines *because you don't have a right angle triangle.

The graph below could be the graph of which exponential function?
A. F(x) = 3x
B. Fx) = 3 • (1.4)^x
O C. F(x) = 3•(0.4)^x
O D. F(x) = 3 • (-1.4)^x

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

What is Exponential decay function?

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Read more about exponential decay function at; brainly.com/question/4681369

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3.1.2 The sum of 3 numbers is equal to 37. The second number is
twice the first number and third number is 3 less than the second
(3)
number. What is the first number?

Answers

Answer:

8

Step-by-step explanation:

Let's take the first number as X.

Then,

X+2X+(2X-3)=37

5X=37+3

5X=40

X=40/5

X=8

First number=8

Is AABC™ADEF? If so, identify the similarity postulate or theorem that
applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

A. Similar - AA

Step-by-step explanation:

The AA similarity postulate states that two triangles are similar if they have two congruent corresponding angles.

The triangles in the picture have two corresponding congruent angles.

Similar triangles may or may not be congruent

The true statement is (a) Similar - AA

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

From the complete question, we have the following highlights about the triangles

The angles at points A and D are congruent (85 degrees)

The angles at points B and E are congruent (30 degrees)

This means that the triangles are similar.

The similarity theorem is the AA theorem i.e. Angle-Angle

Hence, the true statement is (a) Similar - AA

Read more about similar triangles at:

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Lily helped Mr Cruz cross the road earlier today. After a short introduction of themselves, Lily found out that she is 50 years younger than Mr Cruz. Given that Mr Cruz will be 6 times as old as Lily in 4 years, how old is Mr Cruz now?

Answers

Answer:

56 years old

Step-by-step explanation:

50 / ( 6 - 1 ) = 10 = Lily's age 4 years later

10 - 4 = 6 = Lily's age now

6 + 50 = 56

What is the probability that a registered voter voted in the​ election?

Answers

Answer:

0.4714, a simplified 47%

Step-by-step explanation:

:)

is 300 greater than 8/9?

Answers

Answer:

yes.

Step-by-step explanation:

300>8/9

300>0.888888889

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

      Is 300 greater than 8/9?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Yes, 300 is greater than [tex]\bold{\dfrac{8}{9}}[/tex].

Remember, proper fractions (fractions with a numerator less than the denominator) are less than 1.

When comparing an integer (like 300) with a fraction (like 8/9), first you need to work out whether or not the fraction is a proper fraction.

Then, you also need to pay attention to the signs, because they may seem trivial, but they are in fact highly significant.

Therefore,

300>8/9 (300 is definitely greater than a number less than 1, right?)

(and the ">" sign means "greater than"

Good luck with your studies.

       [tex]\rule{200}{2}[/tex]

A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues?

Answers

Answer:

4080 hits.

Step-by-step explanation:

By proportion that would be 1700 * 24/10

= 4080.

Calculate the volume of this cylinder, giving your answer to 1 decimal place.

Answers

Step-by-step explanation:

given radius r =20÷2=10

Height h=9

volume of cylinder

v= πr^2h = 22÷7 ( 10)^2 ×(9)

= 2828.571429.

hence the required volume of cylinder is 2828.571429

Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

t = 110°

Step-by-step explanation:

Triangle BCD is isosceles, so its base angles are congruent. This means m<CBD = m<CDB. Since m<CBD is 35, m<CDB is also 35.

The sum of angles in a triangle is 180, so the following equation can be written:

180 = m<CBD + m<CDB + m<BCD

We can substitute m<CBD and m<CDB with 35 and m<BCD with t and solve:

[tex]180 = 35 + 35+ t\\180=70+t\\t=110[/tex]

So t = 110°

Is it SSS, SAS, ASA, SAA, or HL?

Answers

Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

Steve cycled 35 miles in 2 1⁄2 hours. What is the average speed that Steve traveled?

Answers

Answer:49 miles per hour

Step-by-step explanation: 14 miles times 35 miles = 490

but the 0 will not matter so steve was going 49 miles per hour

HOPE THIS HELPS YOU:)

a box in the shape of a rectangular prism has a length of 3 5/8 inches a width of 2 1/2 inches and a height of 4 inches. what is the volume of the box

Answers

The volume of the rectangular prism box with the given dimensions is: 36.25 cubic inches.

What is the Volume of a Rectangular Prism?

Volume of a rectangular prism = (length)(width)(height)

Dimensions of the given rectangular prism box:

Length = 3 5/8 = 3.625 inchesWidth = 2 1/2 = 2.5 inchesHeight = 4 inches

Volume of the rectangular prism box = (3.625)(2.5)(4) = 36.25 cubic inches.

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James has $150 in savings and earns an additional $50 per week, w, cutting grass. Which equation represents the total, t, in his account?​

Answers

Answer:y=50x+150

Step-by-step explanation:

50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has

Can someone help me with this? Please and thankyou!!

Answers

The Answer is B because of the order of operations

Hi can you answer theese 4 questions if they are correct I will give you brainily

Answers

Answer:

1. The answer for the first one is 7/8

2. the 1/4 is larger

3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.

4. 3 inchies(sorry mispelling)

Step-by-step explanation:

3/8(total)+4/8 = 7/8

brainly points pls

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