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2 years ago

The sum of two numbers is 52. The smaller number is 18 less than the larger number. What are the numbers?

Mathematics

1 answer:

ch4aika [34]2 years ago

7 0

x + y = 52

x = y - 18

Adding,

2x + y = 52 + y - 18

2x = 34

x = 17

y = x + 18 = 35

Check: x+y = 17+35 = 52, good

Answer: 17 and 35

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The sum of the three consecutive integers is -27. What is the product of the smallest and largest of the three integers?

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Answer:

B. 80

Step-by-step explanation:

3 consecutive integers: x-1 , x , x+1

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3x = -27

x = -9

smallest: -9-1 : -10

largest: -9+1 : -8

product of the smallest and largest of the three integers: (-10)*(-8)=80

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3 years ago

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The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

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2 years ago

Can you please answer this

jasenka [17]

Answer:

Sum angle of triangle BHD = 180°

36 + 39 + BHD = 180

BHD = 180 - 36 - 39

= 105°

BHD + x° = 180° (straight angle)

105° + x° = 180°

x = 180 - 105

= 75°

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2 years ago