A factory has 203 workers. There are 70 more males than females. Let x represent the number of males and let y represent the number of females. Which system of equations represents this situation?​

Answers

Answer 1

Equation:

X+Y=203

X=70

Answer 2

Answer:

x - y = 70 and x + y = 203 are the required system of equations represents this situation.

Step-by-step explanation:

Given that factory has 203 workers  

Let "x" represent the number of males and let "y" represent the number of females  

There are 70 more males than females. Which means,  

Number of males = 70 + number of females  

x = 70 + y  

On rearranging we get,  

x - y = 70 ----> equation 1  

It is given that factory has 203 workers, which means number of males and females is equal to 203  

Number of males + number of females = total workers  

x + y = 70 ---- equation 2  

So equation 1 and equation 2 represents the system of equations for this situation

x - y = 70 and x + y = 203 are the required system of equations


Related Questions

Round 85903 to the nearest hundred

Answers

Answer:

uh huh well the 9 is the hundreds place and 3 doesn't do anything besides go down and 0 stays so the answer would be 85900

What type of System if the two linear equations have only one solution?

Answers

An independent system

PLEASE!!!!!! HELP ME!!!!!!!!!!!!!!

Answers

Answer:

Please Help me in my questions

please explain your answer step by step
thankyou

Answers

Answer:

Step-by-step explanation:A = 35 given

C = 45 given

B = 180 -35-45= 100 three angles of triangle = 180

simplify
8 m − n − n + 2 m

Answers

Answer:

2(5m-n)

Step-by-step explanation:

Answer:

10m-2n

Step-by-step explanation:

hope this helps :)

1. What is the Standard Form of the line with x-intercept of 6 and y-intercept of 2?
2x + 6y = 8
6x + 2y = 8
6x + 2y = 12
2x + 6y = 12

Answers

Step-by-step explanation:

these intercepts are also points.

for an y- intercept x =0.

for an x- intercept y = 0.

so, we have the points (6,0) and (0, 2).

the regular equation for a line is

y = ax + b

(0, 2) gives us b directly :

2 = a×0 + b = b

and from there with the second point

0 = a×6 + 2

0 = 3a + 1

-1 = 3a

a = -1/3

so, the equation is

y = (-1/3)x + 2

and transform to standard form

3y = -x + 6

x + 3y = 6

that is the same as

2x + 6y = 12 of the answer options.

what is 3x+3=6x-57 i need ur help

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation: Sorry the explination is long i got it of a website i use for my math tests.

Simplifying

3x + 3 = 6x + -57

Reorder the terms:

3 + 3x = 6x + -57

Reorder the terms:

3 + 3x = -57 + 6x

Solving

3 + 3x = -57 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

3 + 3x + -6x = -57 + 6x + -6x

Combine like terms: 3x + -6x = -3x

3 + -3x = -57 + 6x + -6x

Combine like terms: 6x + -6x = 0

3 + -3x = -57 + 0

3 + -3x = -57

Add '-3' to each side of the equation.

3 + -3 + -3x = -57 + -3

Combine like terms: 3 + -3 = 0

0 + -3x = -57 + -3

-3x = -57 + -3

Combine like terms: -57 + -3 = -60

-3x = -60

Divide each side by '-3'.

x = 20

Simplifying

x = 20

For a class gardening project,
3/8 of Mrs. Dotson's class planted marigolds and
1/8 planted tulips. What Fraction of the class planted
either marigolds on tulips.

Answers

Answer: 1/2 of his class planted marigolds and tulips

Step-by-step explanation:

3/8 + 1/8 = 4/8 simplify and you get 1/2

what function models the height of the periscope lens at time t? If the periscope reaches its maximum Heught after ascending for 22 seconds, what is the maximum height in feet? ( 24 inches above the surface and ascends at 6 inches per sec.)​

Answers

Answer:

Step-by-step explanation:

First we are going to find the function which models the height of the

periscope lens at time t.

Let the 2 be height of the periscope.

The height of the periscope at the beginning is 24 inches. It ascends at 6

inches per second. The expression which describes how much it has raised,

at the moment, is 6t.

The function is sum of beginning height and how much it has raised, 2 = 24 + 6t.

To find maximum height of the periscope, we need to evaluate function

for + = 22.

2 = 24 + 6(22)

= 24 + 132

156

Substitute 22 for t.

Multiply.

Maximum height in inches is 156.

We know that 1 foot is 12 inches.

So the function that describes converting feet to inch is y :

= 12x. Where y

represents number of inches and a number of feet.

U = 12.2

156

12x

12

-n=

156

12

2 = 13

Substitute 156 for y.

Divide both sides by 12.

Maximum height in feet is 13.

The height function modeled by the periscope is an illustration of a linear function.

The height function modeled by the periscope is  [tex]\mathbf{h(t) = 24+ 6t}[/tex]The maximum height is 156 inches

The given parameters are:

[tex]\mathbf{Start = 24\ inches}[/tex]

[tex]\mathbf{Rate = 6\ inches/second}[/tex]

The function model of the height is calculated using:

[tex]\mathbf{h(t) = Start + Rate \times t}[/tex]

Where: t represents the time in seconds

So, we have:

[tex]\mathbf{h(t) = 24+ 6\times t}[/tex]

This gives

[tex]\mathbf{h(t) = 24+ 6t}[/tex]

After 22 seconds, the height of the periscope would be

[tex]\mathbf{h(22) = 24+ 6 \times 22}[/tex]

Multiply

[tex]\mathbf{h(22) = 24+ 132}[/tex]

Add

[tex]\mathbf{h(22) = 156}[/tex]

Hence, the maximum height is 156 inches

Read more about linear functions at:

https://brainly.com/question/21107621

CAN SOMEONE PLS HELP IM TRYING TO GET TO BLOCK 2 <3

Answers

Answer:

click them all

Step-by-step explanation:

Answer:

OPTION 1, 3

Step-by-step explanation:

I don't know how to explain why these are the correct options, except for basing my observations from the given graph.

Option 1: Attah Shipping does deliver a 20-kg package for $60 [as given by coordinates, (20, 60) -- orange line].

Option 3: The 30-kg line is the last, right-most line on the graph. That's the last point where Kwan Shipping's blue line crosses (within the observable region of the graph). If you look carefully, it is the same height as where Attah Shipping's 25-kg mark is. This means that a 30kg package costs $75 for Kwan Shipping, while it costs Attah Shipping $75 to ship a 25kg package. (You could draw a horizontal line across y = 75 to see what I'm talking about).

Please mark my answers as the Brainliest if you find my explanations helpful :)

Bronze which costs $7.05/kg is made by
combining copper which costs $6.20/kg with
tin which costs $8.70/kg. Find the number of
kg of copper and tin required to make 5 kg of
bronze.
Find the number of kg of copper and tin required to make 15.3 kg of bronze. (NO LINKS)

Answers

Answer: 3.3 kg of Cu, 1.7kg of Sn

I abbreviate copper as Cu and tin as Sn.

Step-by-step explanation:

For 5 kg of $7.05$/kg bronze:  Let x be the mass of Cu.  The mass of Sn would be 5-x.

Multiply these two masses by their respective element cost.

Cu = ($6.20/kg)x  [The total value of copper in 5 kg of bronze]

Sn = ($8.70/kg)(5-x)  [The total value of tin in 5 kg of bronze]

We know that:

($6.20/kg)x + ($8.70/kg)(5-x) = $7.05

Solve for x.  I get

x= 3.3 kg of Cu

5-x = 1.7kg of Sn

==

Check the result for 5 kg of bronze:

(3.3 kg of Cu)*($6.20/kg) = $20.46 cost of Cu

(1.7kg of Sn)*($8.70/kg) =     $14.79  cost of Sn

Thus, the total cost for 5kg of bronze is $35.25.  That makes it $7.05/kg.

Can you


Pls help asap

Answers

Answer:

x=20

Step-by-step explanation:

How should this model be completed to represent 3,723 ÷ 51?

Answers

Answer:

the answer is 73, but i dont know how to do that

Step-by-step explanation:

The solution of the 3,723 ÷ 51 is 73.

Here,

We have to find the value of 3,723 ÷ 51.

What is the long division method?

In the long division method, we have the divisor which is outside, the dividend which is inside, and the quotient which is the result of the division process.

Now,

To find the value of 3,723 ÷ 51, by using long division method as;

From the given information:

    ______

51 ║ 3723

Then, Divide 372 by 51 to get 7

    __7____

51 ║ 3723

      357

    _______

         153

And, Divide 153 by 51 to get 3

    __7_3__

51 ║ 3723

       357

     _______

          153

          153

       ______

             0

Hence, we can conclude that the solution to the long division method of 3,723 ÷ 51 is 73.

Learn more about the long division method visit:

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The three sides of an equilateral triangle are equal in length. What is the perimeter of the equilateral triangle shown? 18 mm​

Answers

Answer: 6mm

Step-by-step explanation: It is an equilateral triangle so all equal length so 18/3 sides equal to 6mm

20 quarts = ? x (1 quart ) = ? x 1/4 gallon = ? gallons

Answers

Answer:

20 quarts = 20 x (1 quart ) = 20 x 1/4 gallon = 5 gallons

Step-by-step explanation:

If point k is at (-3,2) where will it be when it is reflected over the line y=1 and then rotated 90 degrees?

Answers

Answer:

(0,-3)

Step-by-step explanation:

(-3,2) reflected over the line y=1 is (-3,0)

Now rotated 90 degrees over what, and in which direction?

Im going to assume that the rotation is counter clockwise over the origin because that is standard when not mentioned. ¯\_(ツ)_/¯

That would be: (0,-3)

Yw! :D

You buy 3.16 pounds of oranges, 1.15 pounds of pears, and 1.75 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$1.29 per
pound
Pears $0.99 per
pound
(Round to the nearest cent as needed.)

Answers

3.16(1.29)+1.15(0.99)+1.75(1.19)
4.0764+1.1385+2.0825
7.2974
So rounded to nearest cent would be $7.30 grocery bill

which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4

Answers

Answer:

C.3>-4

Step-by-step explanation:

I I can't agree with a b and d cause a shows that -4 he's greater than three but that is wrong because three is greater than -4 and part B shows that -4 is greater than -3 and according to the order of the number line -3 must be greater than negative 4 then part d shows that 3 is less than -4 which is also not correct because 3 is greater than -4 and part C shows the relationship between the plotted points on the number line clearly because 3 is greater than-4

Last Saturday, Taamir, Ali, Jaafar and Amal scored a total of 500 runs at cricket. Which of these statements must be true?
A) Each player made over 100 runs.
B) Each player made exactly 125 runs.
C) No player made over 250 runs.
D) At least one player made over 100 runs​

Answers

Answer:

D  At least one player made over 100 runs​

Step-by-step explanation:

At least means that more than one player made over 100 runs. Seeing as there are 4 people scoring a total 500 runs, a player had to make over 100 runs to reach the total of 500 runs collectively

The sum of three consecutive even integers is 264. What are the integers? (show your work)

Answers

Answer:

1 Expert Answer

X + Y + Z = 264. Since Y is 1 bigger than X, Y = X + 1. Since Z is 1 bigger than Y, Z = Y + 1. But Y = X + 1, so Z = (X + 1) + 1 = X + 2.

What is the combined length of all the buttons longer than and 1 inch?

Answers

Answer:

2 1/2 Inches

Step-by-step explanation:

1 1/4×2=2 2/4

simplify=2 1/2

Somebody help me please

Answers

Answer:

[tex]-19[/tex]

Step-by-step explanation:

[tex]-6-10=-16\\=-3-16\\=-19[/tex]

PLEASE HELP ME!!! ASAP!!!

Answers

The answers are
A=3
B=6

[tex]\boxed{\bf Hello\:Math\:Magicians!}[/tex]

A sphere has a volume of 764m^3.Find it's total surface area(TSA) and lateral surface area(LSA) .


[tex]\underline{\bf Note:-}[/tex]

[tex]\star[/tex]Answer must be well explained.
[tex]\star[/tex]Answer should be of your own .No plagiarism from other sites
[tex]\star[/tex]Spammers/Copy cats kindly stay away from this question .


Answers

Answer:

≈ 404 m²

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

LSA = TSA of a sphere:

S = 4πr²

We have V = 764 m³, find the radius:

4/3πr³ = 764r³ = (3*764/4π)r³ = 182.39 (rounded)r = √182.39r = 5.67 m (rounded)

Find the surface area:

S = 4*π*(5.67)²S = 404 m² (rounded)

[tex] \boxed{\tt{ \bold{Hello\:Mister\:Brainly!}}}[/tex]

____________

Step by step :

S = 4πr²

S = 4π × (V = 4/3πr³)²

S = 4π × (764 = 4/3 × 3,14 × r³)²

S = 4π × (764 × 3/4 = 3,14r³)²

S = 4π × (573 ÷ 3,14 = r³)²

S = 4π × (r³ ≈ 182,5)²

S = 4π × (r ≈ 5,67)²

S = 4 × 3,14 × 5,67²

S ≈ 404m²

Need help ASAP 50 points

Answers

Answer:

3

Step-by-step explanation:

subsititute the f value which is 2 into the equation so 1+(2)=3

A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
PLEASE DO STEP BY STEP BECAUSE IT NEEDS ME TO SHOW MY WORK!
BEST ANSWER GETS BRAINLIEST! :) TYSM I NEED ANSWER ASAP

Answers

Answer:

40/3

[tex]15 \times x = 200 \\ 15x = 200 \\ x = 200 \div 15 \\ x = \frac{40}{3} [/tex]

The painter should work at least 13.33 hours to earn $200.

What is inequality?

An inequality is a mathematical statement showing the non-equal comparison between two expressions.

Given that, a painter earns $15 per hour. We need to find the minimum number of hours he must work to earn at least $200,

So, let the minimum number of hours be x,

15x ≥ 200

This will be the inequality,

To find the minimum number of hours we will find the value of x,

15x ≥ 200

Divide by 15

x ≥ 200/15

x ≥ 13.33

Hence, the painter should work at least 13.33 hours to earn $200.

Learn more about inequality, click;

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See question in image.​

Answers

Step-by-step explanation:

The dimensions are given in the attached picture.

Find the slant height L first:

L = [tex]\sqrt{(B - b)^2+h^2} =\sqrt{(5-3)^2+4.8^2}= \sqrt{27.04} =5.2[/tex]

Total surface area of the frustum:

TSA = [1/2*4*5.2*(10+6)] + 6² + 10² = 302.4 cm²

Find the height H of the pyramid using similar triangles.

The big triangle (sides H and 5) is similar to smaller one (sides 2 and 4.8) per AA similarity.

The ratio of corresponding sides:

H/4.8 = 5/2H = 4.8*2.5H = 12 cm


6 ÷ 10 I need help show my work and knowing the answer

Answers

Answer:

hope it hepls uou...see u soon....

Step-by-step explanation:

6/10

3/5

A printing service charges a set up fee of $8.00 for each order and 20 cents more for each copy. The total cost, C ( in dollars ), for an order of x copies is given by the following.
C= 8.00+0.20x
What is the total cost for an order of 50 copies?

Answers

Answer:

$18

Step-by-step explanation:

.20 x 50 = 10 + 8 = 18

All of the points in the graph are on the same line.
What is the x-value when y=0?

Answers

Answer:

x = -5

Step-by-step explanation:

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