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cluponka [151]
3 years ago
10

Solve the equation.

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

4-2(x+7)=3(x+5)

Distribute:

4-2*(x)-2*(7)=3*(x)3*(5)

Simplify

4-2x-14=3x+15

Simplify each side by combining like terms

-2x-10=3x+15

Add 10 to both sides

-2x-10+10=3x+15+10\\-2x=3x+25

Subtract 3x from both sides

-2x-3x=3x-3x+25\\-5x=25

Divide both sides by -5

\frac{-5x}{-5} =\frac{25}{-5} \\x=-5

Done

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The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
Persons taking a 30-hour review course to prepare for a standardized excam averago a score of 620 on that exam. Persons taking a
wolverine [178]

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation \frac{x2-x1}{y2-y1} to get the slope m.

\frac{70-30}{809-620}  = 4.725

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.

6 0
3 years ago
Please help<br><br> 1) _____<br><br> 2) _____<br><br> 3) _____ <br><br> 4) ____<br><br> 5) ____
Luba_88 [7]

Answer:

1 B

2 C

3 E

4 D

5 A

Step-by-step explanation:

1. W is less than Zero

2. W is equal or less than Zero

3. W cannot equal Zero.  W is more than Zero or less than Zero

4. W is equal or greater than Zero

5. W is greater than Zero

7 0
3 years ago
Read 2 more answers
What is an equation of the line perpendicular to 5x−4y=10 5x−4y=10 that passes through the point (−1,−6) (−1,−6) ?
exis [7]

Substitute the value of the variable into the equation and simplify.

There for your answer is 10

7 0
3 years ago
A=h(a+b)/2 answer old
kipiarov [429]

Answer:

mathpapa helps btw

Step-by-step explanation:

a=bh/

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in the fraction form

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3 years ago
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