MATHEMATICS HIGH SCHOOL

5 times what number will be negative 7?

Answers

Answer 1
Answer:

Answer:

-1.4

Step-by-step explanation:

5*X = - 7

5x= - 7

X= - 7/5

X= - 1.4
Answer 2
Answer: 5x = -7
Divide both sides by 5.
X = -7/5 or -1.4

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What value of x is in the solution set of 3(x-4)>/= 5x+2

Answers

3(x - 4) > = 5x + 2....distribute the 3 thru the parenthesis
3x - 12 > = 5x + 2
3x - 5x > = 2 + 12
-2x > = 14...change the inequality sign because dividing by a negative
x < = -7

A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Final answer:

After taking into account the reduced ticket price and transportation costs for two teachers and the maximum number of students (32) that can attend, the school will have £34 left over.

Explanation:

The question involves a calculation of total spending on a school trip to the theatre including train tickets and theatre tickets for teachers and students. The regular cost of each theatre ticket is £35 but there is a 1/5 off, making each ticket cost £28. For train tickets, each costs £15. If we calculate for the 2 teachers first, it will be £28 (theatre ticket per teacher) x 2 (total teachers) + £15 (train ticket per teacher) x 2 (total teachers) = £86. We then subtract this from the total money spent to find out the available budget for the students which is £1500 - £86 = £1414. To find out maximum students that can attend, we need to divide this available budget for students with total cost per student (theatre ticket + train ticket), i.e., £1414 / (£28 (theatre ticket per student) + £15 (train ticket per student)) = £1414 / £43 = 32 students (in case of a fractional number, the number of students is always rounded down because we can't have a fraction of a student). So, the money left over will be the remaining of the £1414 after taking out the expense for the 32 students: £1414 - 32 students * £43 = £34.

Learn more about Budget allocation here:

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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)}

Which is greater, 0.5 or 2/3??

Answers

Find the average=.gr2ate2+0.5+ 23 3
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD). 
 which  equals 3
Find the mean (arithmetic)-.gr^2ate^2+0.5+ 23 3
The LCM (least common multiple) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.=2grat

In other words:
0.5, 3/5, 0.65, 2/3
 Hope this helps
 So therefore, 2/3 is greater
0.5, 2/3 = 0.6So 2/3 is greater.Hope it helps and pls mark as the best answer. :-)

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?

Answers

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

James completetly covered a square wall using 50 ftof wall paper without anyoverlap. Which measurements is closest to the side length of the wall?

Answers

Answer:

Do the math. it is 44

Step-by-step explanation:

do the math and find out how
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