ten men clear a field of area 10 hectares in four days. How many hectares would 15 men clear in six days?

Answer:

x=7

Step-by-step explanation:

(12x+1))+(5x-3)=117

conbine like terms

17x-2=117

     +2 +2

17x=119

/17    /17

x=7

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Answer:

Cost of one doughnut is $0.25

Step-by-step explanation:

Let the rate of one doughnut = $x

On Saturday he bought a large coffee and 2 doughnuts.

Cost of one large coffee = $1.25

Cost of 2 doughnuts = $2x

Total cost = $(1.25 + 2x)

On Sunday, he bought a small coffee and 5 doughnuts.

Cost of one small coffee = $0.50

Cost of 5 doughnuts = $5x

Total cost = $(0.50 + 5x)

Since, Brian spent same amount of money each morning,

Total expenditure on Saturday morning = Total expenditure on Sunday morning

(1.25 + 2x) = (0.50 + 5x)

1.25 - 0.50 = 5x - 2x

0.75 = 3x

x = $0.25

Therefore, cost of one doughnut is $0.25

Answer:

6 days

Step-by-step explanation:

Answer:

slope = 1

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 )

y = x + 10 ← is in slope- intercept form

with slope m = 1

Answer:

No

Step-by-step explanation:

By multiplying 1/3 4 times, you would get 1/81 because you are multiplying the numerators by the numerators and the denominators by the denominators. However Priya is adding the fractions instead which gave her 4/3

I hope this helped xd

Answer:

m∠STU = 20 °

Step-by-step explanation:

Since the line bisects the angle, we have that the two bisected angles are equal

Thus, mathematically;

x + 2 = x/4 + 8

Multiply through by 4

4x + 8 = x + 32

4x-x = 32-8

3x = 24

x = 24/3

x = 8

So to find the value of the original angle, we input 8 into each of the bisected angles and add together

mathematically, that will be ;

10 + 10 = 20

Answer:

9) u= -12

11) -18 over 2

Step-by-step explanation:

Hope this helps!!

Answer:

x would be -72 and 9 u would be -12

Step-by-step explanation:

Answer:

Step-by-step explanation:

SP = CP + markup

Answer: The answer is 18 feet

The product of -1/6 x -3/5 = 1/10

The given expression is,

-1/6 x -3/5

In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.

Now proceed the product,

Multiply numerator with numerator and denominator with denominator,

Therefore,

-1/6 x -3/5 = -1x(-3)/6x5

                = 3/30

                = 1/10

Hence,

-1/6 x -3/5 = 1/10

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Answer:

the answer is option c : 0 zero

Answer:

1.2

Step-by-step explanation:

Answer:

Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°

Answer:

x= c−7y/6

Step-by-step explanation:

Answer:

more information need try maybe 4x-(x3)x(8-0) but im not sure

Step-by-step explanation:

Answer:

y = 3/4 x + 2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer: The slope is -1.4

Step-by-step explanation:

m = y2 - y1 / x2 - x1

5 - (-2) / -1 - 4

5 + 2 / -1 - 4

7/-5 (Rise over run)

-1.4 (Slope)

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

Answer:

C. 140(7-2)

(i like your pfp)

Answer:

Its C. 140(7-2)

Step-by-step explanation:

Answer:

interpret the question straight comments please

Step-by-step explanation:

Answer:

17/25

Step-by-step explanation:

Answer:

10/25

Step-by-step explanation:

Answer:

0.07017

Step-by-step explanation:

Answer:

happy new year

Step-by-step explanation:

Answer:

Negative association

Step-by-step explanation:

As you can see on table y the numbers are going down.

And I am not sure if you understand me but I can't explain very well sorry.

Hope this helped and Goodluck!!!

:D

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles