MATHEMATICS HIGH SCHOOL

When six times a number is decreased by 7​, the result is 41. What is the​ number?

Answers

Answer 1
Answer: Let's write an equation:
6x-7=41
Add 7 in both sides. 
6x= 48
6      6
x= 8
Answer 2
Answer:

Answer:

Step-by-step explanation:

X=8

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How do you factor x^4-36?

Answers

The solution to your problem is as follows:

 x^4 - 36=(x^2+6)(x^2-6)

Therefore, the factors of  x^4-36 are (x^2+6) and (x^2-6).


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The factors of x^4-36 are (x^2 - 6) (x^2 + 6) using Algebraic identity.

Given Equation: x^4-36

Factorization, the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number.

So, x^4 can be written as (x^2)^2

and, 36 can be written as 6².

So, x^4-36 = (x^2)^2  - 6².

Using the Algebraic identity as

(a^2 - b^2)= (a-b)(a+b)

Then, using the above identity in (x^2)^2  - 6² as

(x^2)^2  - 6² = (x^2 - 6) (x^2 + 6)

Therefore, the factors of x^4-36 are (x^2 - 6) (x^2 + 6).

Learn more about Factorization here:

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One container holds 1 1/7 quarts of water and second container holds 5 3/4 quarts of water how many more harts of water does the second container hold then the first

Answers

Answer:

129/28 (4.6 approx.)

Step-by-step explanation:

The first hols 1 1/7 quarts, it is: 1 + 1/7

Using 7 as common denominator and summing:

1 + 1/7 = 7/7 + 1/7 = 8/7

The second holds 5 3/4 which is: 5 + 3/4. Using 4 as common denominator:

5 + 3/4 = 20/4 + 3/4 = 23/4

Now we need to know how much greater is 23/4 than 8/7. For comparing them we need to set them to a common denominator. The easiest way is use a number that is multiple of both, 4 and 7, lets us 28. We need to multiply the numerators by the number that, multiplied by denominators gives us 28. For the first is 4, and for the second 7.

8/7 = (8*4)/7*4=32/28

23/4= (23*7)/4*7 = 161/28

Now, we only have to subtract:

23/4 - 8/7 = 161/28 - 32/28 = 129/28

So, the second container has 129/28 more quarts of water (approx. 4.60) than the first.

Find the slope and​ y-intercept of the line
x+2y=6

Answers

x+2y=6

-x          -x

2y = -x + 6

y = -1/2x + 3

The slope is -1/2 and y-int is 3

LOTS OF POINTS, THANKS, AND BEST ANSWER!!The dimensions of a conical funnel are shown below:

A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches.

Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)

Answers

The volume of the conical funnel is given by V = 1/3 pi (r^2)h; where pi = 3.14, r = 3 and h = 8. Therefore, V = 1/3 pi (3^2) x 8 = 24pi = 75.36. Now, the liquid drips at the rate of 15 cubic inches per minute. Thus it will take it 75.36 / 15 = 5.024 minutes forthe water to pass through the nozzle.

Answer:

Your answer would be B: (5.02) minutes

Step-by-step explanation:

Describe how the shape moves from:Frame 1 to Frame 2

Frame 2 to Frame 3

Frame 3 to Frame 4

Answers

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - 90^(0) counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by 90^(0) counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

[71 – (8 2+ 5)] (2 + 3)+ 7 × [2 × (7 3+ 17)] – 72 [40 + (4 2– 6)] (5 – 3)+ 3 × (1 + 4 3– 15) – 150

Answers

Answer:

Step-by-step explanation:

2(3)+8. =6 + 8. = 35 x 102. = 3.5 x 10-1. 3.5 x 10". = 14 ... Substitute b with – 3 and solve. 3). A. 783. 5(-3)2-2(-3)+1. =5(9)+6+1. =45+7. =52 ... (4 – 5x) – (3 – 2x). (4 – 5x)+(-3+ 2x). _+(4 – 5x). +(-3+2x). 1- 3x.  to solve. ... (3r' -5+2x). “ - [(7x² +5)– (4x' – 5x)]. – L(7x² +5)– (4x' – 5x). =-|(7x² + 5) – 4x² + 5x].
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