The wages of 5 men and 6 boys amount to $114 per day. The wages of 7 men and 8 boys amount to $157 per day. Find the daily wages each man and each boy.​

Answers

Answer 1

Answer:

let the wages of men and boys be x and y respectively

then

5x+6y = 114

7x + 8y = 157

multiplying equation first by  4 and second by three and subtracting equations

20x + 24y = 456

21x + 24y =471

-x = -15

x= 15 men wages

substituting value of x in equation

5x + 6y = 114

5*15 + 6y = 114

6y = 114 -75

6y = 39

y = 6.5 each boys wages

Step-by-step explanation:


Related Questions

help pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer: the maximum is at (3,4)

Step-by-step explanation:

HELP TIMED BRAINLIST QUICK

Answers

it would be the third answer

what is 2 and 1 3rd times 5

Answers

2 1/3 = (mixed # x denominator) + numerator/ denominator

= 2x3+1/ 3= 7/3



7/3 x 5= 35/3= 11 2/3



Answer:

2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

5x2=10

[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]

10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]

How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?

Answers

Answer: C) Stretched vertically by a factor of 4

This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".

Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.

2x – 10 = 4x
solve for x​

Answers

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

pls respond ill mark brainliest!!!!!!!

Answers

Answer:

when your at a red light and it turns green

Answer:

ok

Step-by-step explanation:

Given m ||n, find the value of x
167°

Answers

Answer:

13

Step-by-step explanation:

180-167= 13

× = 13 degrees

What is the value of the expression expression 9 – m. If m = –3, n = 8, and p = –1?

Answers

Answer:

Step-by-step explanation:

i do believe you didn't write the whole problem

if m=-3

9-m=9-(-3)=9+3=12

Fun fact: If you put fun fact in front of a statement, people will click on it and read it. (Now answer)
36+14/25

Answers

386....
................

Answer:

the answer is 36+14/25=36.56

Drag the missing word into place
My parents put
panels on our roof to harvest the
sun's energy
solar
geothermal
chemical

Answers

Answer:

Solar

Step-by-step explanation:

It would be Solar because the energy from the sun is called solar energy. Also, solar panels pick up the sun's energy, and harvests it.

Help me please .....

Answers

Answer:

the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Step-by-step explanation:

We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

[tex]g(x)=-\sqrt{x}[/tex]

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]

So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

can someone hep me with this

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Help with what ?you have to give us the question that u need help with

Is (-4, 2) a solution of 4x + 5y 3-7?

PLEASE HELP WILL MARK BRANLIEST

Answers

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

[tex]4x+5y^3=-7[/tex]

[tex]4x+5y=-37[/tex]

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

[tex]4x+5y^3=-7[/tex]

Assuming the equation

[tex]4x+5y^3=-7[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]

[tex]-16+2^3\cdot \:\:5=-7[/tex]

[tex]-16+40=-7[/tex]

[tex]24=-7[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].

2)

[tex]4x+5y=-37[/tex]

Assuming the equation

[tex]4x+5y=-37[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]

[tex]-16 + 10 = -37[/tex]

[tex]-6=-37[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].

The Liverpool Math Club is taking one bus that carries 20 people, the rest of the people will need to ride small busses that carry 8 people to its regional competition. There are 55 students and two faculty advisors going on the trip. If n represents the number of small busses needed for the ...

Answers

Answer:

The question is not complete, therefore I cannot answer this.. :(

Step-by-step explanation:

if anything try dividing these numbers

Mike reads 10 pages of a novel on night 1.
Each night after that, he reads three pages
more than the night before. At this rate,
Mike thinks he can finish reading his 219
page novel in 10 days. His brother says it
will take 22 days. Who is right? Explain.

Answers

Answer:

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Step-by-step explanation:

Total number of pages of the novel = 219.

1st night, he reads 10 pages.

2nd night, he reads 13 pages.

3rd night, he reads 16 pages.

4th night he reads 19 pages.

5th night, he reads 22 pages.

6th night, he reads 25 pages.

7th night, he reads 28 pages.

8th night, he reads 31 pages.

9th night, he reads 34 pages.

10th night, he reads 37 pages.

Total number of pages read after 10 nights = 235

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

couldn't plz have help​

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

y=1/4x-3/4

Step-by-step explanation:

because it's been put into a slope form already sksk so it basically wanted in simplified in a sense then cross turn the 3 and turn it into a fractions and reform the problem

Please help I will mark brainliest

Answers

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

What is the answer to this?

Answers

Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found

what is the domain of the function represented by the graph?​

Answers

Answer:

option A is the answer

Step-by-step explanation:

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

Is - .6251327657 a rational number?

Answers

Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Please help guys I need it

Answers

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

given that a||b and m<6 is 1/8 of m<4, find m<4 and m<6

Answers

Answer:

Supplementary Angles: if both angles are added = 180 °

Complementary Angles: if both angles are added = 90°

Step-by-step explanation:

Answer:

m<6 = 20*, m<4 = 160*

Step-by-step explanation:

2.m<6+m<4=180*

3. m<6+m<4=180*

4. m<6+8 x m<20

5.m<6 = 20*, m<4 = 160*

the sale price of an item is $160 after a 20% discount what was the original price of the item

Answers

Answer:

200

Step-by-step explanation:

Because first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.

HOPE THIS HELPS

200$ is the original price.
20% of 200 is 40 so 200-40 is 160 which is the price of the item while on sale

(2x+1)(5x-4)
multiply

Answers

Answer:

1 0 3 − 3 ^2 − 4

Step-by-step explanation:

Answer:

I think it might be 23+92−5

Step-by-step explanation:Im not tottally sure

PLEASE HURRY) The graph indicates the running route for Tobias

Which best describes his run

A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.

Answers

Answer: B. From time 6 to 10, he was at his slowest.

Step-by-step explanation: I just took the same quiz so HURRY!!!

Answer:

b

Step-by-step explanation:

find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7 ​

Answers

Answer:

A = $19,908.59

Step-by-step explanation:

Compound Interest

Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

k = number of times interest applied per time period

t = number of time periods elapsed

We are given the following data:

P = $12,000

r = 7.5% = 7.5/100 = 0.075

t = 7

k = 1 since there is only on compounding per year.

Applying the formula:

[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]

[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]

A = $19,908.59

plz i need help luv u
2. Write a two column proof. (4pts)
70 + 5
Given:6 3
72 73
Prove: x = -1

Answers

Step-by-step explanation:

4x/6=7x+5/3

<=> 4x.3=(7x+5).6

<=> 12x=42x+30

<=> -30x=30

<=>x=-1

Plz answer the question attached

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

Solve for n in the following equation. A=P(1+n) show all work

Answers

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

A line is perpendicular to
y = -x-9
What is the slope of this
perpendicular line?
A. -1/4
B. 1/4
a-4
D. 4

Answers

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

Therefore, slope of the line = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

Therefore, slope of the line = m = -4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

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