MATHEMATICS COLLEGE

An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat between midnight and 4 AM. If five-eighths of the remaining heat is lost between 4 AM and 5 AM, what proportion of the total heat loss occurs between 5 AM and sunrise?

Answers

Answer 1

Answer:

Answer:

$(1)/(16)$

Step-by-step explanation:

Proportion of Heat Loss Between sundown and midnight $=(1)/(3)$

Proportion of Heat Loss between midnight and 4 AM $=(1)/(2)$

Proportion of Total Heat Already Lost $=(1)/(3)+(1)/(2) =(5)/(6)$

Proportion of Remaining Heat $=1-(5)/(6)=(1)/(6)$

Between 4 AM and 5 AM, five-eighths of the remaining heat is lost.

Proportion of Heat Loss between 4 AM and 5 AM= $(5)/(8)$ X (1)/(6) = (5)/(48)$

Therefore, Proportion of Remaining Heat Left $=(1)/(6)- (5)/(48)=(1)/(16)$

We therefore say that:

$(1)/(16)$ of the total heat loss occurs between 5 AM and sunrise.$

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Find the slope given A(1, -1) B(-2, 1)

Answers

Answer:-2 /3

Step-by-step explanation: 1-(-1)/-2-1

1+1/-3

2/-3

-2/3

Literal equations ….

Answers

Answer:

$p=(c - 215)/(5)$

Step-by-step explanation:

Hello!

Solve for p

$c = 5p + 215$

Subtract 215 from both sides

$c - 215= 5p$

Divide both sides by 5

$(c - 215)/(5) = p$

The solution for p is $p=(c - 215)/(5)$

Answer:

c - 215/5 = p

Step-by-step explanation:

$c = 5p + 215 \n - 215 \: \: - 215 \n (c - 215)/(5) \: \: \: \: \: (5p)/(5) \n \n (c - 215)/(5) \: = \: p$

Hope this helps! Brainliest would be appreciated!

At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?

Answers

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

$tan( \pi/3) = (h)/(20) \nh = 20*1.73205\nh=34.64\ ft$

The building is 34.64 ft tall

A number, n, is multiplied by -3/8. The product is -0.5 What is the value of n?

Answers

Answer:

n=4/3

Step-by-step explanation:

n*(-3/8)=-0.5

n=0.5/3/8

n=1/2 / 3/8

n=4/3

Check:

4/3*-3/8=-0.5

4/3*-3/8=-1/2

-1/2=-0/5

CORRECT!

Algebra 1 questions!3(d-4)=9
5/8 = 2m + 3/8
if 7x +5 = -2 find the value of 8x

Answers

3d - 12 = 9
3d = 21
d = 7

Answer:

HIiii

Step-by-step explanation:

What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction