A number that if multiplied by 6 and then increased by 48 will result to 600

Answers

Answer 1

Answer:

Answer

Step-by-step explanation:

take 48 minus 600, you get 552 now divide 6 by 552 and you get your answer.

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One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?If x represents how many minutes to do the job together, then how much of the job does the slowest person do?

Answers

Answer:

They will take 6 minutes to do the job together.

Slowest person do 2/5 of the total work.

Step-by-step explanation:

Given,

Time taken by first person = 10 minutes,

⇒ One day work of the first person = $(1)/(10)$ ,

While, time taken by second person = 15 minutes,

⇒ One day work of second person = $(1)/(15)$ ,

So, when both persons work together, total one day work = $(1)/(10)+(1)/(15)$ ,

$=(3+2)/(30)$

$=(5)/(30)=(1)/(6)$

Thus, the total time taken by the both persons when they work together,

x = $(1)/((1)/(6))$ = 6 minutes

The one who takes more time is slower.

Now, the part of the work done by the slowest person ( second one),

$=\frac{\text{One day work of slowest person}}{\text{Total one day work}}$

$=(1/15)/(1/6)$

$=(2)/(5)$

One person can do the job in 10 minutes

So he can do 1/10th of the job in 1 minute

Similarly another person can do 1/15th of the job in 1 minute

Together they can do in 1 minute = 1/10 +1/15 = 5/30 = 1/6th of the job

So together they can finish the job in 6 minutes. ANSWER

slowest person does x/ 15 th of the job ANSWER

1/6 +1/2 +1/3 = 7/6

together they can do the job in 6/7 days

I need help with 10. A-C please

Answers

A. first total salary (S) is what is being found so put that on one side of the equal side, then 100 dollars are being made and this is not changed so we don't need a variable, put that on the other side of the equal sign. and since sales (X) is changing, keep the variable, 30% of that is added to the salary, so multiply that by x (first turn it into a decimal, divide it by 100) and add that to the initial 100

S=100+.3X

B. do the same thing above but with a new decimal and initial salary

S=150+.15X

C. since they both need to be equal (S=S) you can replace the S on one equation with the other

100+.3X=150+.15X

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.

Answers

$(x;\ y)-the\ coordinates\ any\ point\ on\ the \ parabola.\n\nDistance\ between\ the\ point\ (x;\ y)\ and\ the\ focus\ (-5;\ 5)\nand\ distance\ between\ the\ point\ (x;\ y)\ and\ a\ direct\ are\ equal.\n\nDistance\ between\ (x;\ y)\ and\ (-5;\ 5):\n√((x-(-5))^2+(y-5)^2)=√((x+5)^2+(y-5)^2)\n\nDistance\ between\ (x;\ y)\ and\ y=-1:\n|y-(-1)|=|y+1|\n\nWe\ equate\ the\ two\ expressions:\n√((x+5)^2+(y-5)^2)=|y+1|$

$Square\ both\ sides:\n(x+5)^2+(y-5)^2=(y+1)^2\n\nUse:(a\pm b)^2=a^2\pm2ab+b^2\n\nx^2+2\cdot x\cdot5+5^2+y^2-2\cdot y\cdot5+5^2=y^2+2\cdot y\cdot1+1^2\nx^2+10x+25+\not y^2-10y+25=\not y^2+2y+1\nx^2+10x-10y+50=2y+1\n2y+1=x^2+10x-10y+50\ \ \ \ |subtract\ 1\ from\ both\ sides\n2y=x^2+10x-10y+49\ \ \ \ |add\ 10y\ to\ both\ sides\n12y=x^2+10x+49\ \ \ \ |divide\ both\ sides\ by\ 12\n\n\boxed{y=(1)/(12)x^2+(5)/(6)x+(49)/(12)}$

question is ,four children saved £29 to go on a coach. They each saved the same amount. How much did each saved

Answers

If they saved £29 all together, and if each of them saved the same amount,
then each saved £29/4 = £7.25 or £7 and 25p.

(Before decimalization in 1971, £7.25 would have been £7 and 5s .)

$(29)/(4)=\pounds7,25$