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Anna71 [15]
2 years ago
9

On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours. Assistant A will work 25 ho

urs. Assistant B will work the remaining hours. You earn $22 per hour. Assistant A earns $15 per hour. Assistant B earns $10 per hour. Altogether, how much is labor going to cost for this project?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
4 0

Answer:

$1,630

Step-by-step explanation:

Assistant 2 hours: 80-40-25 = 15

YOU: 22 x 40 = $880

ASSISTANT 1: 15 x 25 = $375

ASSISTANT 2: 10 x 15 = $150

880+375+150 = $1,630

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djyliett [7]

Answer:

A)  (7.6, 8.8)

which are the coordinates of the treasure.

Missing Problem Statement:

Given Options:

A) (11.4, 14.2)

B) (7.6, 8.8)

C) (5.7, 7.5)

D) (10.2, 12.6)

I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.

The coordinates of Tree are (16,21)

Coordinates of rock are (3,2)

Step-by-step explanation:

Let,

Coordinates of treasure be (a,b)

d_{1}= distance from tree to treasure

d_{2}=distance from rock to treasure

d_{1}=\sqrt{(16-x)^2 + (21-y)^2}

d_{2}=\sqrt{x\2 + (y-2)^2}

Given ratio between rock and tree, \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55_______(Equation.1)

which will be used to locate the treasure.

Now we just need to cross check by putting the coordinates given in the options one by one to find out value of d_{1},d_{2} and checking if it satisfies the Equation 1.

Check (A) (11.4, 14.2)

d_{2}= 14.8, d_{1}= 8.2,

\frac{d_{2}}{ d_{1}}= 1.8

Check (C) (5.7, 7.5)

d_{2}= 6.13, d_{1}= 16.98,

\frac{d_{2}}{ d_{1}}= 0.36

Check (D) (10.2, 12.6)

d_{2}= 12.8, d_{1}= 10.2,

\frac{d_{2}}{ d_{1}}= 1.25

Check (B) (7.6, 8.8)

d_{2}= 8.2, d_{1}= 14.8,

\frac{d_{2}}{ d_{1}}= 0.55

Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or  \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55

So, the coordinates of the treasure are (B) (7.6, 8.8)

7 0
2 years ago
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The positive difference between the two roots of the quadratic equation $3x^2 - 7x - 8 = 0$ can be written as $\frac{\sqrt{m}}{n
Sergio [31]

3x² - 7x - 8 = 0

We're asked about square roots so we won't try to factor; we'll go right for the quadratic formula,

x = ( 7 ± √(7² - 4(3)(-8))    )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6

145 = 5×29, so no square factors.  The positive difference is

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2 years ago
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A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has
Crank

Answer:

P=0.075,          P=7.5\%

Step-by-step explanation:

We look for the probability that the player fails the first attempt and also fails the second attempt.

We know that the probability that the quarterback fails the first attempt is:

P(1) = 0.5

We know that the probability that the quarterback fails the second attempt after failing the first is:

P(2|1) = 0.15

Then the probability of failure of both attempts is:

P(2|1)=\frac{P(1\ and\ 2)}{P(1)}

P(1\ and\ 2)=P(1)*P(2|1)

P(1\ and\ 2)=0.5*0.15

P(1\ and\ 2)=0.075

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2 years ago
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Answer:

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we know that

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we have

A=484\pi\ cm^{2}

substitute in the formula and solve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Find the diameter

Remember that the diameter is two times the radius

D=2(22)=44\ cm

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