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leva [86]
1 year ago
11

*Please help me with this one problem pleaseeeeee for brainliest* 07.03 MC)

Mathematics
1 answer:
Alisiya [41]1 year ago
6 0
Part A: you would first use the distributive property to find that 8[2x-14] =
16x -112 +13 = 4x -27
 
=16x -99 =4x -27 Simplify
 
<span>16x=4x−27+99 Add 99 to both sides

</span>16x =4x =72 Simplify

Subtract 4
r from both sides=

12x= 72

Divide both sides by 12 and you get 6.

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Find the measure of angle x in the figure below:
Gekata [30.6K]
45+55=100 180-100=80 that makes y = 80, and vertical angles makes x=80
5 0
2 years ago
Read 2 more answers
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
2 years ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
Gelneren [198K]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

6 0
1 year ago
Jing spent 1/3 of her money on a pack of pens, 1/2 of her money on a pack of markers, and 1/8 of her money on a pack of pencils.
Reika [66]

As per the problem

Jing spent \frac{1}{3} of her money on a pack of pens.

\frac{1}{2} of her money on a pack of markers.

and \frac{1}{8} of her money on a pack of pencils.

Total fraction of money spent cab be given as below

Fraction of Money Spent =\frac{1}{3} +\frac{1}{2}+\frac{1}{8}

Take the LCD of denominator, we get LCD of (3,2,8)=24

Fraction of Money Spent =\frac{8+12+3}{24} =\frac{23}{24} \\\\

\\ \text{Hence fraction of Money Spent }=\frac{23}{24} \\ \\ \text{Fraction of Money left}=1-\frac{23}{24} \\ \\ \text{Simplify, we get}\\ \\ \text{Fraction of Money left}=\frac{24-23}{24} \\  \\ \text{Fraction of Money left}=\frac{1}{24}

3 0
1 year ago
Read 2 more answers
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
maksim [4K]

Answer:

Boat traveled 553.24 feet towards the lighthouse.

Step-by-step explanation:

In the figure attached AB is the light house of height 200 feet.

Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'

so 1' = \frac{1}{60} degree

so angle of elevation at point C = 14 + \frac{52}{60}

So angle of elevation from C = (14 + 0.87) = 14.87°

Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + \frac{10}{60} = 45.17°

Now we have to calculate the distance CD, traveled by the boat.

In ΔABC

tan14.87 = \frac{200}{BC}

0.2655 =  \frac{200}{BC}

BC = \frac{200}{0.26552}

BC = 753.239 feet

Similarly in ΔABD

tan45.17 = \frac{200}{BD}

1 = \frac{200}{BD}

BD = 200 feet

So distance CD = BC - BD

CD = 753.239 - 200

     = 553.24 feet

Therefore, Boat traveled 553.24 feet towards the lighthouse.

7 0
1 year ago
Read 2 more answers
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