MATHEMATICS HIGH SCHOOL

Add. Write your answer in simplest form.

3/8 + 2/5

Answers

Answer 1
Answer: (3)/(8) + (2)/(5) = ((3)(5))/((8)(5)) + ((2)(8))/((5)(8))
                                =  (15)/(40) + (16)/(40)
                                =  (31)/(40)
Answer 2
Answer:

Answer:

31/40

Step-by-step explanation:

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Find the inverse of f(x)=(x-1)^3

If D varies directly with t and D is 105 when t is 3, find D when t is 8

Answers

Answer:

Value of D when t is 8 is:

280

Step-by-step explanation:

If D varies directly with t

⇒ D=kt for some constant k

D is 105 when t is 3

⇒ 105=3k

⇒ k=105/3

⇒ k=35

⇒ D=35t

when t=8

D=35×8

⇒ D=280

Hence, Value of D when t is 8 is:

280
105÷3=35 so you would do 8×35 and get 280

Solve for the value of x

Answers

Answer:

3.2

Step-by-step explanation:

9.6 divided by 3 is 3.2

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

3x= 5(x-1.5)\n\n\Rightarrow\ 3x=5x-1.5*5\n\n\Rightarrow\ 3x=5x-7.5\n\n\Rightarrow\ 5x-2x=7.5\n\n\Rightarrow\ 3x=7.5\n\n\Rightarrow\ x=(7.5)/(3)\n\n\Rightarrow\ x=2.5

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

A factory produces 1000 bottles of pasta sauce in a day. Fifty bottles are selected at random to determine if they weigh the correct amount. The factory rejects bottles that are over or under the correct weight.One bottle is under weight, 46 bottles are the correct weight, and 3 bottles are over weight.

Based on this random sample, approximately how many bottles will the factory reject from the day's production?

A.4

B.20

C.60

D.80

Answers

Answer:

option: D is correct.

Step-by-step explanation:

The random sample is given of 50 bottles which is depicted as:

1 bottle under weight

46 bottles correct weight

3 bottles over weight

As the bottles which are under weight and over weight are rejected.

that means out of 50: 4 bottles are rejected.

Now we have to find out the number of bottles rejected out of the 1000 bottles.

As 1000 is 20 times of 50.

Hence the number of bottles rejected will also get multiplied by 20.

Hence total number of bottles rejected=80.

Hence, option D is correct.
the answer would consiste of c

Evaluate. −|a+b|/2−c when a=1 3/5 , b=−2 , and c=−7 as a simplified fraction

Answers

Answer:

Step-by-step explanation:

yygygygy

hi

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Find the perimeter of thepolygon if ZB = ZD.
11.5 cm
B
D
12.5 cm
13.5 cm

Answers

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

Perimeter of the polygon = 24 + 26 + 26 + 24

Perimeter of the polygon = 50 + 50

Perimeter of the polygon = 100cm

Hence the Perimeter of the polygon is 100cm

Answer:

100 cm

Step-by-step explanation:
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