MATHEMATICS MIDDLE SCHOOL

What would the first step be in solving the inequality: -y (less than or greater than sign) 136

Answers

Answer 1
Answer:

"-y (less than or greater than sign) 136" translates into two separate inequalities:


-y < 136 and -y > 136.


You want to solve for y in each case. To do this, multiply each inequality by "-1" and then immediately change the direction of the inequality sign.


For example: -1(-y < 136) => y > -136.

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the ratio of the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3) also find the value of k

A golfer hits a ball from a starting elevation of 5 feet with a velocity of 70 feet per seconddown to a green with an elevation of -4 feet. The number of seconds t it takes the ball to
hit the green can be represented by the equation - 16t2 + 706 + 5 = -4. How long does it
take the ball to land on the green?
It takes the ball |
seconds to land on the green.

Answers

Answer:

Time, t = 4.5 s

Step-by-step explanation:

The number of seconds t it takes the ball to  hit the green can be represented by the equation :

-16t^2 + 70t + 5 = -4

It means that the initial velocity is 70 ft/s. The above equation becomes:

-16t^2 + 70t + 9=0

It is required to find the time taken by the ball to land on the ground. It is a quadratic equation. The solution of quadratic equation is given by :

t=(-b\pm √(b^2-4ac) )/(2a)\n\nt=(-b+ √(b^2-4ac) )/(2a),(-b- √(b^2-4ac) )/(2a)\n\nt=(-70+ √((70)^2-4* (-16)(9)) )/(2(-16)), \frac{-70-\sqrt{(70)^(2)-4*(-16)(9)}}{2(-16)}

t = −0.125 and t = 4.5 s

Time cannot be negative. So, the time taken by the ball to land on the ground is 4.5 seconds.

How many faces does a cone, cube, square pyramid , and triangular pyramid have

Answers

cone : 1
cube:6
Square pyramid:5
Triangular pyramid:4
Cone = 1
Cube = 6
Square Pyramid = 5
Triangle Pyramid = 4
Happy to Help!

X squared minus 36 equals 0. Solve for x

Answers

Answer: x = 6

Step-by-step explanation:

x^2 - 36 = 0

+ 36

x^2 = 36

We know 6^2 = 36

We can conclude that x = 6

6^2 - 36 = 0

36 - 36 = 0

0 = 0

Answer:

x = 6

Step-by-step explanation:

x has to be squared by 6 because 6x6 is 36. Then, you subtract 36 from 36 to get 0. This is how to solve this. I hope it helps.

Jacob copies 30% of a document. He copies 8 pages. Write the number of pages in the
document.​

Answers

Answer:

27

Step-by-step explanation:

Number of documents

jacob copies 30% of a document which is 8 pages

we can solve this using cross multiplication

30 %       :        8

100%      :         x

30%x = 100%*8

30% x = 8

x = 8/ 30%

x = 26.667

to 2sf

number of pages in the documents 27

There are 27 pages in the doc

245 500 1,010 2,030
The sequence above can be expressed

Answers

Answer:

12

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12

Answer:

12

Step-by-step explanation:

if I have understood the question correctly

f(n+1) = a*f(n) + k

using two consecutive values of the given sequence

500 = a*245 + k or it can be written as a*245+k -500 = 0

1010 = a*500+k or it can be written as a*500+k - 1010 = 0

therefore

a*245+k -500 = a*500+k - 1010

a*245-a*500 = -1010 + 500

-255a = -510  a=510/255=2

using this value in the original equation

500 = 2 *245 + k

k = 500 - 2 *245 = 10

a+k = 2+10 = 12

At a track meet, Jacob and Daniel complete in the 220 m hurdles. Daniel finishes in 3/4 of a minute. Jacob finishes with 5/12 of a minute remaining. Who ran the race in the faster time. Bonus: Express the difference in their times as a fraction of a minute.

Answers

Jacob ran the race in the faster time

Further Explanation:

Daniel complete the hurdle at = 3/4 of a minute

Recall, 1 minute = 60 seconds

Therefore, Daniel complete the hurdle at 3/4 of 60 [secs]

= 3/4 x 60  

= 3 x 60 ÷ 4

= 180 ÷ 4

= 45 seconds

Jacob complete the hurdle with a remainder = 5/12 of a minute  

Recall, 1 minute = 60 seconds

Therefore, Jacob complete the hurdle with the remainder of 5/12 of 60 [secs]

= 5/12 x 60

= 5 x 60 ÷ 12

= 300 ÷ 12

= 25 seconds  

To find out how many minute Jacob used to complete the race:

60 seconds – 25 seconds=

= 35 seconds  

Since Daniel complete the race in 45 seconds, and Jacob complete the race in 35 seconds, in Athletics, the fastest of the two in completing the race is Jacob because, the time at which he complete the race is not greater than the time at which Daniel complete the race. And as such, the fastest of the two (Jacob) whose time is lesser is adjudged the winner of the race.

Deriving the difference in their times as a fraction of a minute:

The difference in their times is expressed as:

Daniel’s time [45 seconds] – Jacob’s time [35 seconds]

Therefore,

= 45 – 35

= 10 seconds  

Expressing the difference as a fraction of a minute:

Since 1 minute = 60 seconds

Hence, the fraction would be:

10/60

= 1/6

The given answers were derived as a result of the usage of Multiplication, Division and Subtraction, being functions of a number problem in mathematics.

LEARN MORE:

Track brainly.com/question/362542

KEYWORDS:

  • Seconds
  • Minute
  • Fraction
  • Difference
  • Time
Well, 60(sec.) divided by 4 = 15. 15x3= 45 seconds is Daniel's time.
60 divided by 12 = 5. 5x5 = 25 seconds is Jacob's time. Jacob finished faster. Hope this helps!
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