MATHEMATICS HIGH SCHOOL

If 10 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 8 men to survive for 36 days?

Answers

Answer 1

Answer:

Answer:

18 cans

Step-by-step explanation:

Given : 10 men can survive 24 days on 15 cans

To find : how many cans for 8 men can survive for 36 days

Solution : 1 men can survive 1 day on= 15/ 10×24 = 15/240 cans

8 men can survive 1 day = 8×15/240= 1/2 cans

8 men can survive for 36 days = 36/2= 18 cans

therefore, 8 men can survive for 36 days = 36/2= 18 cans

Answer 2

Answer: 10 men can survive for 24 days with 15 cans of ration
so , 1 man can survive for 1 day with 15/(10*24) cans of ration
so, 8 men can survive for 36 days with (15*8*36)/240 = 18 cans of raion

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Evaluate (2 – 5i)(p + q)i when p = 2 and q = 5ia. 29i
b. 29i-20
c.-21i
d.29

Answers

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

29i (A.) hope this helps

Write the equation in slope-intercept form.

y=12+(x-1)(-4)

Answers

To get slope-intercept form we have to multiply x-1 by -4 and simplify it then
y=12+(x-1)(-4)
y=12+x*(-4)-1*(-4)
y=12-4x+4
y=-4x+16 - its the result

Find the perimeter of an isosceles trianglewhose base is 40 cm and whose base angle is 70".

Answers

$cos70^o=(20)/(x)\n\ncos70^o\approx0.342\n\n(20)/(x)=0.342\n\n0.342x=20\ \ \ \ /:0.342\n\nx\approx58.5\ (cm)\n\nPerimeter:40cm+2\cdot58.5cm=157cm$

$cos70^0= (20)/(x)\n\nx= (20)/(cos70^0) \n\nthe\ perimeter\ is:\n\n P=2x+40=(40)/(cos70^0)+40 \ \ \ and\ \ \ cos70^0\approx0.3420\n\nP\approx(40)/(0.342)+40\approx156.96\ [cm]$

The scatter plot shows the population P of a town (in thousands) t years after 2000. Which best linear equation to model the town’s population from 2000 to 2019? A) P(t) = 1.12t + 0.20
B) P(t) = 0.02 + 1.12
C) P(t) = 0.20t + 1.12
D) P(t) = 1.12t + 0.02

Answers

Final answer:

The best linear model to represent the town's population could be either P(t) = 1.12t + 0.20 or P(t) = 1.12t + 0.02, depending on the specific data in the scatter plot. Both these options follow the general form of a linear equation.

Explanation:

The question is related to a scatter plot, linear equation, and population study. We're looking to determine the best linear equation that models the town's population from 2000 to 2019 based on the given scatter plot. The general form of a linear equation is y = mx + b, where m represents the slope (rate of change), and b is the y-intercept (starting value). Typically, in this kind of scenario:

't' would be the years after 2000,
'm' would represent the rate of change of the population, and
'b' would be the starting population.

Without the actual scatter plot, it's impossible to choose the most accurate option. However, options A & D are most likely because they conform to the general form. Option A, P(t) = 1.12t + 0.20, and Option D, P(t) = 1.12t + 0.02, are both viable options depending on the specific data presented in the scatter plot.

Learn more about Linear Equation here:

brainly.com/question/32634451

#SPJ2

Answer:

P(t)=1.12t+0.20

Step-by-step explanation:

Hope it helps lov

Your record bicycle pace along a favorite trail is 16 mph. On a recent ride, you traveled the 25 mile route in a time of 90 minutes. What was your average speed? Did it break your record pace?

Answers

Remember that d = rt or distance = rate times time. You want your answer in miles per hour so convert 90 minutes to 1.5 hours. Now plug in your values:
25mi = r*1.5hrs.
r = 25/1.5 = 16.667mph.

This is greater than 16mph so you did break your record pace.

Answer:

You did break your pace. You were able to travle about .7 miles per hour faster.

Step-by-step explanation:

Speed: Distance/time

Speed: 25/90

Speed: 16.6667 miles per hour

Speed: 16.7

A triangle has two sides of lengths 7 and 9. What value could the length of the third side be?

Answers

x - length of the 3rd side

$7+9>x \wedge 7+x>9 \wedge 9+x>7\n x<16 \wedge x>2 \wedge x>-2\n x\in(2,16)$

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