Ops gets $140 per day and laborers get $100 per day. If 35 people were hired and payroll was $4820, how many ops were employed and how many laborers?

Answers

Answer 1

Answer:

2 laborers and 33 ops

Step-by-step explanation:

Given

Let:

L = Laborers

P = Ops

From the statements, we have:

[tex]L + P = 35[/tex] -- total people hired; and

[tex]140P + 100L = 4820[/tex] ---number of hirees

Required

Solve for L and P

Make L the subject in: [tex]L + P = 35[/tex]

[tex]L = 35 - P[/tex]

Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]

[tex]140P + 100(35 - P) = 4820[/tex]

[tex]140P + 3500 - 100P = 4820[/tex]

Collect like terms

[tex]140P - 100P = 4820 - 3500[/tex]

[tex]40P = 1320[/tex]

Solve for P

[tex]P = 1320/40[/tex]

[tex]P = 33[/tex]

Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]

[tex]L = 35 - 33[/tex]

[tex]L = 2[/tex]


Related Questions

Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance​

Answers

Answer:

105

Step-by-step explanation:

(-20+5)(58-65)

(-15)(-7)

105

can someone help??!???!?!

Answers

Answer:

download discord

Answer:

im confused-

Step-by-step explanation:

Can someone please help me with this

Answers

Answer:

Step-by-step explanation:

5- There are 2 right-angled triangles and 1 equilateral triangle or you can just say triangles

6- area for a triangle is a=bh(1/2)

so 4×3=12(1/2)=6

and 4×3=12(1/2)=6

In both triangles, they're a=6

7- 4×6=24(1/2)=12

the top flag is a=12

8-12+6+6=24

9- the rectangular flag has an area of 24 since a=bh and the added areas of the triangles are 24. I conclude that these are two ways of finding the area of this rectangular flag.

hope this helps : )

Solve: x - (-6) = -2

Answers

Answer:  = -8

Step-by-step explanation: Your welcome!

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

1=10. x6=60

i need help please i’ll give u a brainliest

Answers

Answer:

12

Step-by-step explanation:

c = sqrt(a^2+b^2)

Imput numbers and solve for b!

the answer is actually just 12 !! hope this helped mark as brainliest?

-2x - 5x + 3 - 8 please help

Answers

Answer:

-7x - 5

Step-by-step explanation:

Combine like terms.

PLEASE SOMEONE HELLPPP i actually need it

Answers

Can you repost this I can’t really tell what the questions say

state a,b, and the y-intercept then graph the function on a graphing calculator

Answers

Answer:

No x-intercepts

y-intercepts: (0,2)

Step-by-step explanation:

he is correct ^^^^^^^^^^^^

HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot

Answers

Answer:A

Why: Because 3-6 reduces to 1-2

Answer:

They are both correcte

Step-by-step explanation:

Imagine a pizza with 6 slices

Half of 6 slices is 3 slices, or 3/6

If you simplify 3/6, you will get 1/2

So, both fractions are equal, but in different forms.

For better context see images below!

X^2-2(x+5)
Help me PLSSS

Answers

Answer:

hope this helpss

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have to simplify it then distribute -2

x²-2(x+5)=x²-2x-10

if problem is as mentioned by other answerer,then

[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]

If the sin 90º = 1, then which statement is true? ​

Answers

Answer:

cos 0° = 1, because the cosine and sine are complements

Step-by-step explanation:

Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)

So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1

During his shift at Pennant Sports Shop, Sam compared the items sold during last weekend's sale. There were 25 lacrosse sticks sold on Friday, 10 of which were defense sticks. There were 50 lacrosse sticks sold on Saturday, 15 of which were defense sticks. Did Pennant Sports Shop sell the same ratio of defense sticks to total lacrosse sticks on both days?

Answers

Answer: No. Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.

Step-by-step explanation:

On Friday, there were 25 lacrosse sticks sold, 10 of which were defense sticks. The ratio of defense sticks to lacrosse will be:

= 10/25 = 2/5 = 2:5

On Saturday, there were 50 lacrosse sticks sold, 15 of which were defense stick. The ratio of defense sticks to lacrosse will be:

= 15/50 = 3/10 = 3:10

Based on the calculation above, Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?

Answers

Answer:

the yield is 7.68%

Step-by-step explanation:

The calculation of the yield is given  below:

we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

Here we divide the annual dividend by the price per share in order to determine the yield  

hence, the yield is 7.68%  

And, the same would be considered

Solve each inequality.
2s+5> 49
_

Answers

Answer: S > 22

Step-by-step explanation:

Answer:

s = 23 and above

Step-by-step explanation:

2s + 5 > 49

      -5     -5

2s > 44

44/2

= 22

However, the answer for s is not 22

Since it has this sign > not ≥ then that means s = 23 and above

Check:

2(23) + 5 > 49

46 + 5 > 49

51 > 49

Find the perimeter of a regular hexagon with side length 4 meters.

Answers

Answer:

i think it is 24 meters

Answer:

24 meters

Step-by-step explanation:

perimeter of regular hexagon is

perimeter = 6 × a

where a is the side length

so in the problem a = 4 meters

by apply the formula you will have

perimeter = 6 x 4 meters

perimeter =24 meters

If a man invests $1000 in a savings account and another $1000 in a fixed deposit. If the savings account pays 4.5% interest per annum and the fixed deposit pays 6% interest per annum, find the total amount after 1 year of investment. Please I need a quick answer to this!

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Savings account:

PV= $1,000

n= 1

i= 0.045

Fixed Deposit:

PV= $1,000

n= 1

i= 0.06

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

Savings account:

FV= 1,000*1.045^1

FV= $1,045

Fixed deposit:

FV= 1,000*1.06^1

FV= $1,060

Guided Practice
Find the square.


(c + 1)2


A.
c2 + 1


B.
c2 + c + 1


C.
c2 + 2c + 1

Answers

Answer:

C

Step-by-step explanation:

(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1

2, 3, 1, 6, 4, 5, 3, 2, 3, 4 is the set

Answers

It’s the first one because if you look at the 4s there are only two and it would have been either the first or third one but it’s the first one

Answer: A

because It has 1 one 2 twos 3 threes 2 fours 1 five And 1 six

PLSS HELPP D: WILL MARK BRAINLIEST :D

Answers

the 49 one because the square root is 7

Answer:

√49

Step-by-step explanation:

It's a perfect square root.

Please brainliest ;)

Solve the following exponential equations

Answers

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25

three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?

Answers

Given:

Three line segments have measures of 4 units, 6 units, and 8 units.

To find:

Will the segments form a triangle?

Solution:

We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.

Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.

The sum of two smaller sides is

[tex]4+6=10[/tex]

[tex]4+6>8[/tex]

Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.

James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?

Answers

Answer:

James will spend $119.94

Step-by-step explanation:

Multiply $19.99 by 6.

$19.99 x 6 = $119.94

Find the distance between the points (4,10) and (4, -7)

Answers

Answer:

17

Step-by-step explanation:

Hello There!

Once again we are going to use the distance formula to find the answer

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This time we need to find the distance between the points (4,10) and (4,-7)

*we plug in the values into the formula)

[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]

so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units

Please help will mark brainliest!!

Find the surface area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

9 - 166.42m²

10 - 308.8cm²

Step-by-step explanation:

The first figure shown is a triangular prism

We can find the surface area using this formula

[tex]SA=bh+L(S_1+S_2+h)[/tex]

where

B = base length

H = height

L = length

S1 = base length

S2 = slant height ( base's hypotenuse )

The triangular prism has the following dimensions

Base Length = 4m

Height = 5.7m

Length = 8.6m

S1 = 4m

S2 = 7m

Having found the needed dimensions we plug them into the formula

SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )

4 * 5.7 = 22.8

4 + 7 + 5.7 = 16.7

8.6 * 16.7 = 143.62

22.8 + 143.62 = 166.42

Hence the surface area of the triangular prism is 166.42m²

The second figure shown is a pyramid

The surface area of a pyramid can be found using this formula

[tex]SA = A+\frac{1}{2} ps[/tex]

Where

A = Area of base

p = perimeter of base

s = slant height

The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself

So A = 8 * 8

8 * 8 = 64

So the area of the base (A) is equal to 64 cm^2

The perimeter of the base can easily be found by multiplying the base length by 4

So p = 4 * 8

4 * 8 = 32 so p = 32

The slant height is already given (15.3 cm)

Now that we have found everything needed we plug in the values into the formula

SA = 64 + 1/2 32 * 15.3

1/2 * 32 = 16

16 * 15.3 = 244.8

244.8 + 64 = 308.8

Hence the surface area of the pyramid is 308.8cm²

Does anyone know how to do this because im confused.

Answers

Answer:

no but choose b if u don't know it it usually works for me sorry if I don't help :(

Answer:

y=-3x is the bottom right one

y=4x is the top middle

y=x-3 is the top right one

Step-by-step explanation:

Help me plz! I need help!

Answers

Answer:

function 2

Step-by-step explanation:

i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.

Which of the following points is not an ordered pair for the function

ƒ(x ) =5/2 x + 6?

(4, 16)
(2, 7)
(-2, 1)

Answers

Answer:

(2, 7) is not an ordered pair for the function.

Step-by-step explanation:

8 ft
Find the area of the figure.

Answers

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

(10-4)²(12+10/2)=_________

Answers

Answer:

should be 612

Step-by-step explanation:

Answer:

(10-4)²(12+10/2)=

(6)²(12+5)=

(36) (17) = 612

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