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3 years ago

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87, x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

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An arrow is shot vertically upward at a rate of 240 feet per second from ground level. Use the projectile formula to determine w

Juli2301 [7.4K]

Answer:

After 14.92 seconds, the arrow hits the ground.

Step-by-step explanation:

Given:

Initial velocity of the arrow is, $u=240\ ft/s or 73.152\ m/s$

The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.

Therefore, displacement of the arrow is 0 m.

The displacement of the arrow is given as:

$s=ut-\frac{1}{2}gt^{2}$ (equation 1)

Plug all value in equation 1 and solve for $t$

$0=73.152\timests t-\frac{1}{2} \times9.8 \times t^{2}$

$0=73.152\timests t-4.9 \times t^{2}$

$0=t(73.152-4.9 \times t)$

$73.152-4.9\times t=0$ where $t\neq 0$

$4.9\times t=73.152$

$t=\frac{73.152}{4.9}= 14.92\ s$

∴ After 14.92 seconds, the arrow hits the ground.

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3 years ago

Need a story for this graph

nasty-shy [4]

Answer:

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Step-by-step explanation:

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3 years ago

Please help me is for my homework

masya89 [10]

Answer:

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2 years ago

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kolbaska11 [484]

Answer:

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3 years ago

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Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha

Bess [88]

The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

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= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2

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3 years ago