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2 years ago

3(5-2x)=-4(cx+4)

Mathematics

1 answer:

ycow [4]2 years ago

7 0

Answer:

c = 3/2

Step-by-step explanation:

hello :

3(5-2x)=-4(cx+4)

-6x+15 = - 4 cx-16

-6x+4cx = -16-15 means 6x-4cx=-31

(6-4c ) x = 31

the equation have no solutions when : 6-4c = 0 (you have : 0x=31...false)

-4c=-6

c= -6/-4

c = 3/2

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Triangles MOP and MNQ are similar. Find x.

konstantin123 [22]

Corresponding sides in the triangles MOP and MNQ are

MO and MN,

OP and NQ,

PM and QM.

Ratios of the corresponding sides for similar triangles should be the same.

MQ/MP =MN/MO

MQ/(MQ+QP) = MN/(MN+NO)

5/(5+x) = 6/(6+18/5)

5*(6+18/5)=6(5+x)

30+18 = 30 +6x

18=6x

x=3 =QP

4 0

2 years ago

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

2 years ago

Show me how to solve step by step please

andrew-mc [135]

Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

8 0

2 years ago

Strawberry's are 3.50$ a pound and you bought 18.25$ worth of strawberries

yarga [219]

The correct answer is 5.21

3 0

2 years ago

Read 2 more answers

Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.

aleksklad [387]

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

4 0

1 year ago