An employment agency specializing in temporary construction pays heavy equipment operator $133 per day and general laborers $84 per day. If 38 people were hired and the payroll was $4172, how many heavy equipment operator were employed? How many laborers?

Answer:

In scientific notation the number would be 2×10^6.

Hope it helps!

The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.

To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.

The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.

To calculate the area of the sector, we can use the formula:

Area of Sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.

Plugging in the values:

Area of Sector = (60°/360°) * π * (3)²

Area of Sector = (1/6) * 3.14159 * 9

Area of Sector ≈ 4.7124 square inches

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Answer:

Step-by-step explanation:

Answer:

investment=£3000

Step-by-step explanation:

let ; principal amount (investment)=p ,

simple interest = p*t*r/100

£3300-p=p*1*10/100

(3300-p)100/10= p

33000-10p=p

33000=11p

33000/11 = p

£3000=p

Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

About 20 soccer balls weigh more than 0.45 kg.

In general, 0.43 kg. 0.43 plus 0.1 plus 0.1 is 0.45, or two standard deviations more.

Balls that weigh less than 0.45 kg are all below the mean by 50%, and those that are two standard deviations above 95%/2=47.5% 50%+47.5% =97.7%.

2.5% of balls weighing greater than 0.45 kg (100% minus 97.7%)

2.3%=0.025

20 soccer balls weighing more than 0.45 kg are 800*0.025.

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Answer:

eşnatto eşmatoroorlfld

Answer:

Now , Piyush age =3+Honey age

Step-by-step explanation:

Honey age=x

Piyush age=y

1 year ago,Honey age=x-1

Piyush age=y-1

the ratio of Honey and Piyush age=2:3

x-1:y-1=2:3

x-1/y-1=2/3

3(x-1)=2(y-1)

3x-3=2y-2

3x-2y= -2+3

3x-2y=1 eq _1

after 5 years from now,

Honey age=x+5

Piyush age=y+5

the ratio of them=4:5

x+5/y+5=4/5

5(x+5) =4(y+5)

5x+25=4y+20

5x-4y=20-25

5x-4y=-5 _eq2

eq1and 2_

5x-4y= -5

3x-2y= 1

-

2x-2y=-6

x-y =-3

-y=-3-x

y=3+x

By reducing −16/5 ⋅ (−15/56) in lowest term, the answer is 6/7.

To perform the indicated operation and reduce the result to lowest terms, we need to multiply the two fractions:

(-16/5) x (-15/56) = (16 x 15) / (5 x 56)

(when we multiply two negative numbers, the result is positive)

= 240 / 280

Now we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 40:

240 / 280 = (240 ÷ 40) / (280 ÷ 40) = 6/7

Therefore, -16/5 ⋅ (-15/56) = 6/7 in lowest terms.

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Answer:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. There is no finite way to express them. ( examples: √2, π, e)

Answer:

4=128

5=512

6=2048

Step-by-step explanation:

I am not sure if this is correct, because I never answered a question like this before. If I am correct can I plz have Brainliest? Thanks!

Have a great day!

The equation of the line which passes through the coordinates (0,0) and (3.5,3.5) is y = x.

The slope intercept form of a line is given by:-

y = mx + c

Where,

m represents the slope of the line

c represents the y -intercept

(x,y) represents the coordinates of each point on the line.

We also know the slope of the line will be:-

(3.5-0)/(3.5-0) = 3.5/3.5 = 1

Hence, m = 1

Putting (0,0) in y = mx + c, we get,

0 = m*0 + c

0 = 0 + c

c = 0

Hence, the equation of the line is given by:-

y = x

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The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

we know that

Supplementary angles sum 180 degrees

so in this problem

120 and 60and 60

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer:

is this the full question?

Step-by-step explanation:

The value of r when 3/r = 12/22 is 5.5 or 11/2.

According to the question,

We have the following information:

3/r = 12/22

Now, we can easily find the value of r using the cross multiplication method:

12r = 22*3

Now, 12 is in the multiplication on the left hand side. So, it will be in the division on the right hand side:

r = 66/12

Now, we will convert this fraction into the simplest form by dividing both the denominator and numerator by 6:

r = 11/2

r = 5.5

Hence, the value of r is 11/2 or 5.5.

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The largest number when the sum of 4 consecutive integers is 170 will be 44.

According to the question,

We have the following information:

Sum of four consecutive integers = 170

Now, let's take the first integer to be x.

So, the next 3 integers will be (x+1), (x+2) and (x+3) respectively.

Now, the largest number will be (x+3).

Adding 4 consecutive integers:

x+ (x+1) + (x+2) + (x+3) = 170

4x+6 = 170

4x = 170-6 (Moving 6 from the left hand side to the right hand will result in  the change of the sign from plus to minus.)

4x = 164

x = 164/4

x = 41

So, the next three consecutive integers will be 42, 43 and 44.

Hence, the largest of the four consecutive integers is 44.

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).

A cube has six equal square faces, so to find the surface area of a cube, we need to find the area of one of its faces and then multiply it by six. The area of a square is given by the formula A = s^2, where s is the length of one of its sides. Therefore, the area of one face of a cube is A = a^2, where a is the length of one of its edges.

To find the surface area S of the cube, we can simply multiply the area of one face by six: S = 6a^2. This formula shows that the surface area of a cube is directly proportional to the square of the length of one of its edges. If the length of the edge is doubled, for example, the surface area will be quadrupled (2^2 x 6a^2 = 4 x 6a^2)

Therefore, The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).

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Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

Answer:

5:7

Step-by-step explanation:

Step-by-step explanation:

5:7 is the simplified fraction of 25:35

The slope and y-intercept of each line are:

13. slope = 1/2; y-intercept: 0.

14. slope = 3; y-intercept: 0.

15. slope = -2/5; y-intercept = 0.

16. slope = -1; y-intercept = 1.

17. slope = -2/3; y-intercept = -4.

18. slope = 1; y-intercept = 0.

19. 7/9

20. 3/5

The slope and y-intercept of a line can be determine from the given equation of a line in slope-intercept form, y = mx + b, where:

13. y = 1/2x,

The slope = 1/2

The y-intercept of the equation is: 0.

14. y = 3x,

The slope = 3

The y-intercept of the equation is: 0.

15. y = -2/5x,

The slope = -2/5

The y-intercept of the equation is: 0.

16. y = -x + 1

The slope = -1

The y-intercept of the equation is: 1.

17. y = -2/3x - 4,

The slope = -2/3

The y-intercept of the equation is: -4.

18. y = x,

The slope = 1

The y-intercept of the equation is: 0.

19. Slope = change in y / change in x = (18 - 11)/(19 - 10)

Slope = 7/9

20. Slope = change in y / change in x = (2 -(-1))/(9 - 4)

Slope = 3/5

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You would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95% confidence interval.

In order to calculate the sample size needed for a 95% confidence interval with a margin of error of no more than 0.025, the formula to use is the following:

\(n = (z-score)^2 * p * (1-p) / (margin of error)^2\)

Where n = sample size, z-score = 1.96 (for 95% confidence interval), p = 0.5 (the expected population proportion) and margin of error = 0.025.

Substituting these values into the equation, we get:

\(n = (1.96)^2 * 0.5 * (1 - 0.5) / (0.025)^2\\n = 384\)

Therefore, you would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95 %  confidence interval.

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Answer:

The system has one solution,

Both lines have the same y-intercept,

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Answer:

since the decay rate constant of0.0 250 min.

hence the time required for the sample to decay to one forth of it's initial value is

Step-by-step explanation:

Answer:

Step-by-step explanation: