MATHEMATICS HIGH SCHOOL

Jacob and issac decided to run to the basketball court after school the basketball court is 5 1/4 Miles from school the boys run at a pace 3 3/8 miles per hour

Answers

Answer 1

Answer:

Answer: $1(5)/(9)\text{ minutes}$

Step-by-step explanation:

Complete question is provided in the attachment below.

Given: Jacob and Issac decided to run to the basketball court

Distance between basketball court and school = $5(1)/(4)$ miles

$=(21)/(4)$ miles

Speed = $3(3)/(8)$ miles per hour

$=(27)/(8)$ miles per hour

Since, time = (distance) ÷ ( speed)

Now, the time taken by boys to arrive at the basketball court = $(21)/(4)/(27)/(8)$ hours

$=(21)/(4)*(8)/(27)\n\n=(7*2)/(9)=(14)/(9)\n\n=1(5)/(9)\text{ minutes}$

Hence, the required length of time = $1(5)/(9)\text{ minutes}$

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The sum of an integer and its square is 72. Find the greatest possible integer.

Answers

$x + x^2 = 72$

$x^2 + x - 72 = 0$

$(x -8)(x+9) = 0$

$x = -9, 8$

Greatest Possible Integer: 8

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

Answers

$a_n=a_1\cdot q^(n-`1)\n\na_1=2;\ q=0.5=(1)/(2)\n\n\na_8=a_1\cdot q^(8-1)=a_1\cdot q^7\n\na_8=2\cdot\left((1)/(2)\right)^7=2\cdot(1)/(2^7)=2\cdot(1)/(128)=(1)/(64)\n\n\nAnswer:a_8=(1)/(64)$

Deborah is flying to a vacation resort 1,416.25 miles away. Determine the plane's average speed if the flight takes 2.75 hours. (1 point) 194 mph 389 mph 480 mph 515 mph

Answers

Answer: 515 MPH

Step-by-step explanation: To determine the plane's average speed, we can use the formula:

Average speed = Total distance ÷ Total time

In this case, the total distance is given as 1,416.25 miles and the total time is given as 2.75 hours.

So, by substituting these values into the formula:

Average speed = 1,416.25 miles ÷ 2.75 hours

Simplifying this calculation, we find:

Average speed ≈ 515 mph

Therefore, the plane's average speed is approximately 515 mph.

Evaluate. 103 • [12 ÷ (10 – 4 • 2)] + 3

Answers

103 • [12 ÷ (10 – 4 • 2)] + 3

PEMDAS. We need to take care of the parenthesis, first.

103 • [12 ÷ (10 – 4 • 2)] + 3

Inside the parenthesis, we must do the other parenthesis inside and follow PEMDAS in there.

103 • [12 ÷ (10 – 8)] + 3
103 • [12 ÷ (2)] + 3
103 • [12 ÷ 2] + 3
103 • [6] + 3
103 • 6 + 3

Now, we can do multiplication.

103 • 6 + 3
618 + 3
621

Your final answer is 621.

To increase an amount by 3% what single multiplier would you use

Answers

The multiplier would be 1.03 because 1 is a whole and you are increasing by 3 therefore the answer would be 1.03

If you were decreasing an amount then you would take that amount away from 100. Eg - decrease an amount by 50%. What multiplier would you use? The answer to this would be 0.50 because you are taking away 50 from 100.

Hope this helps :)

Multiply by 1.03 to get an amount + 3% of that amount

Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problema.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions.

b.6x+10y>=120 (5,9),(10,6),and(15,3)are three possible solutions.

c.6x-10y<120 (5,5),(10,10),and(15,15)are three possible solutions.

d.7x+5y<=140 (7,21),(14,14),and(21,7)are three possible solutions.
I think it's
a.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. please correct me if I'm wrong.
I think it's between B and
d. is it D

Answers

her goal is to make at least $120 at least meaning is not less than 120, so the mathematical symbol is greater than or equal to >=. so the possible solution is let x be number of bracelety be the number of necklace6x + 10y >= 120 (5,9),(10,6),and(15,3)are three possible solutions.

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