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2 years ago

Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time

Mathematics

1 answer:

ehidna [41]2 years ago

8 0

Answer:

No. He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not have enough time since he is short of time by 2 minutes.

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To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistr

Mamont248 [21]

T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40

Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.

Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9

ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)

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3 years ago

A jacket costs 50$ at the store Evan has a coupon for 15$ off.Max pays only 0.6 of the price because his father works at the sto

Arturiano [62]

Answer:

Step-by-step explanation:

The original price of the jacket at the store is $50.

Evan has a coupon for 15$ off. This means that the amount that Evans will pay is the original price - 15% of the original price. It becomes

50 - (15/100 × 50) = 50 - 7.5 = $42.5

Max pays only 0.6 of the price because his father works at the store.

This means that the amount that Max will pay is 0.6 × the original price. It becomes

0.6 × 50 = $30

Max will pay the least amount because his amount is smaller

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3 years ago

Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point w

Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

$\vec {v}=\left$

Now, the perimetric equations for initial point $(x_0,y_0,z_0)$ with direction vector $\vec{v}=\left$ , are

$x=x_0+at$

$y=y_0+bt$

$z=z_0+ct$

The initial point is (7,1,-5) and direction vector is $\vec {v}=\left$ . So the perimetric equations are

$x=(7)+(-4)t$

$x=7-4t$

Similarly,

$y=1+3t$

$z=-5+3t$

Therefore, the required perimetric equations are $x=7-4t, y=1+3t$ and $z=-5+3t$ .

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2 years ago

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WARRIOR [948]

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3 years ago

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JulsSmile [24]

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3 years ago