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Rama09 [41]
3 years ago
13

Josh Wilson is traveling to California from South Carolina for summer vacation. The states are approximately 2500 miles apart dr

iving cross-country. He stops at his parent's house in Oldham County, Texas, which is (12x 106) miles away from South Carolina and (5x + 685) miles away from California. Determine if Josh's parent's house in Texas the midpoint between South Carolina and California? Justify your answer.
Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Answer:

Yes, Josh's parent's house in Texas is the midpoint between South Carolina and California

Step-by-step explanation:

Let S represents South carolina C represents California and T represents Texas,

Given,

ST = 12x - 106,

TC = 5x + 685,

Also, SC = 2500 miles,

Suppose T is the midpoint of S and C,

⇒ ST = TC

12x - 106 = 5x + 685

7x = 791

⇒ x = \frac{791}{7} = 113

So, ST = 12(113)+106 =1356 - 106 = 1250

Now,

2\times ST = 2\times 1250=2500

⇒ 2 ST = SC

Hence, T is the midpoint of S and C.

MakcuM [25]3 years ago
5 0

Given, distance between South Carolina and Texas = 12x-106

Distance between Texas and California = 5x+685

Let's assume, both the distance is same.

12x-106=5x+685

=> 12x-5x = 685+106

=> 7x = 791

=>x=113

Plug x = 113 in 5x+685

5(113)+685 = 1250 Miles.

Similarly, 12(113)-106=1250 miles

Since 2500 divided by 2 = 1250 miles, hence our assumption was correct, Texas lies between both the cities.

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George has 245 cards in his baseball card collection. Of these, 85 of the cards are pitchers. What percent of the cards are pitc
Licemer1 [7]

Answer:

17/49 or about 34.7%

Step-by-step explanation:

George has 85 cards out of 245 cards that are pitchers. Whever you hear "out of", it means to divide.


85/245 are pitchers.

you can simplify since 5 fits in both of those numbers

5*17=85

5*49=245


So, 17/49 or about 34.7%

6 0
3 years ago
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The local bakery applies a 155% markup on all baked goods. If it costs them $3.50 to make a batch of cookies, at what price do t
natka813 [3]

The price charged for the batch of cookies is $8.925

Step-by-step explanation:

Marked price refers to the price at which an establishment offers to sale a product. For-profits to occur, marked price is always more than cost price (cost of producing the item)

Here the local bakery has marked up the price by 155%. This means that the local bakery has increased the marked price by 155% above the cost price accrued to them.

The cost price of the cookies= $ 3.5

Hence the increased marked price= (155/100) *3.5

Increased marked price= $ 5.425

Hence the charge customers need to pay for the cookies= increased marked price + cost price

Charge = $5.425+ $3.5= $8.925

the price charged for the batch of cookies is $8.925

6 0
3 years ago
Do anyone know how to solve this? need the answer fast.
Nikitich [7]
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.. x +4 = -3(2x -5)
.. 7x = 11
.. x = 11/7

The desired value is
.. (3/11)*g^-1(-3)
.. = (3/11)*(11/7)
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6 0
3 years ago
Find the value. Please
IgorC [24]
The cosine ratio is adjacent leg divided by the hypotenuse.
The hypotenuse in a right triangle is the longest side and it is opposite the right angle.
An adjacent leg is the side that has an endpoint that is at the vertex of the angle and the other endpoint is at the vertex of the right angle.

cos A = \frac{12}{20} =  \frac{3*4}{5*4} = \frac{3}{5}
ANSWER: cosA= \frac{3}{5}


7 0
3 years ago
James is placing an order for four for his bakery. The company he purchases from charges $25 for the first bag and $5 for each a
VARVARA [1.3K]

Answer:

A: CxB= Total

A: (4x19)x5+25=$405

Step-by-step explanation:

First you would find the total of all of the 4 bags. Witch would be 4x19=76. Then you would multiply that by shipping cost 76x5=380. Lastly you would add the $25 380+$25= 405. Think that is right. Hope this helps!

4 0
3 years ago
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