MATHEMATICS
MIDDLE SCHOOL

1/4 of x is 6 =

Answer: X=24. Because 24/4=6

Answer: The answer: " x = 24 " .

________________________

Note:

________________________

(1/4) x = 6 .

(1x)/ 4 = 6 ;

1x = x .

x/4 = 6 ;

x = 6*4 ;

x = 24 .

_____________

________________________

Note:

________________________

(1/4) x = 6 .

(1x)/ 4 = 6 ;

1x = x .

x/4 = 6 ;

x = 6*4 ;

x = 24 .

_____________

HIGH SCHOOL

If 21 is added to a number the result is 40 less than twice the number what is the number?

If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40 Add 40 to both sides

x + 61 = 2x Subtract x from both sides

61 = x Switch the sides to make it easier to read

x = 61

x + 21 = 2x - 40 Add 40 to both sides

x + 61 = 2x Subtract x from both sides

61 = x Switch the sides to make it easier to read

x = 61

The value of the number in question is 61.

- Let the number be p
- 21 added to the number : 21 + p
- Result : 40 - 2p

Expressing as a complete equation :

- 21 + p = 2p - 40
- Collect like terms
- 21 + 40 = 2p - p
- 61 = p

Therefore, the Number, p is 61, since the value of the number is denoted as p

Learn more :brainly.com/question/18796573

HIGH SCHOOL

The slope of line m is 7/8. If n⊥m, what is the slope of line n? A) 7/8

B) 8/7

C) -7/8

D) -8/7

We have:

Substitute:

Answer: D)

Hey there !

When two lines are perpendicular , the product of their slope is -1 ,

m1 × m2 = -1

7/8 × m2 = -1

m2 = -8/7 Ans.

When two lines are perpendicular , the product of their slope is -1 ,

m1 × m2 = -1

7/8 × m2 = -1

m2 = -8/7 Ans.

HIGH SCHOOL

For which values of p and q, will the following pair of linear equations have infinitely many solutions?

4x + 5y = 2 ; (2p + 7q) x + (p + 8q) y = 2q – p + 1.

In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;

In accordance, we can say:

(2p + 7q)x = 4x [1]

(p + 8q)y = 5y [2]

2q - p + 1 = 2 [3]

All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):

Rearrange in terms of p:

p + 8q = 5 [2]

p = 5 - 8q [2]

p + 2 = 2q + 1 [3]

p = 2q - 1 [3]

Now equate rearranged [2] and [3] and solve for q:

5 - 8q = 2q - 1

10q = 6

q = 6/10 = 3/5 = 0.6

Now, substitute q-value into rearranges equations [2] or [3] to get p:

p = 2(3/5) - 1

p = 6/5 - 1

p = 1/5 = 0.2

In accordance, we can say:

(2p + 7q)x = 4x [1]

(p + 8q)y = 5y [2]

2q - p + 1 = 2 [3]

All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):

Rearrange in terms of p:

p + 8q = 5 [2]

p = 5 - 8q [2]

p + 2 = 2q + 1 [3]

p = 2q - 1 [3]

Now equate rearranged [2] and [3] and solve for q:

5 - 8q = 2q - 1

10q = 6

q = 6/10 = 3/5 = 0.6

Now, substitute q-value into rearranges equations [2] or [3] to get p:

p = 2(3/5) - 1

p = 6/5 - 1

p = 1/5 = 0.2

COLLEGE

-4 × 7 with an absolute value is?

Your answer is 28.

If the equation is in an absolute value, you do the operation like normal and then take the positive version of the number because an absolute value is just how far on a number line the number is from zero and distance cannot be measure in negative numbers.

If the equation is in an absolute value, you do the operation like normal and then take the positive version of the number because an absolute value is just how far on a number line the number is from zero and distance cannot be measure in negative numbers.

MIDDLE SCHOOL

Point C is located at (-4,-4) point D is located at (2,-4) on the graph. Plot points A and B to form rectangle ABDC with an area of 36 square units. Plot point E at (2, 4).

Answer:

[tex] \frac{4}{2} I put (2,4) in fraction form .

HIGH SCHOOL

What is 34 laptops out of 116 computers as a fraction in simplest form

Answer:

The fraction in simplest form is given by:

Step-by-step explanation:

It is given that:

There are 34 laptops out of 116 computers.

The fraction is the ratio of the number of laptops to the number of computers.

i.e. the fraction is given by:

Now, the numerator as well as the denominator have a greatest common divisor as 2.

Hence, we get the resulting fraction in simplest form as:

That would be 34/116 which can be simplified to 17/58.

HIGH SCHOOL

Which answer choice shows the decimals in order from greatest to least?A.0.013, 0.0104, 0.0118, 0.0108, 0.00149B.0.00149, 0.0104, 0.0108, 0.0118, 0.013C.0.013, 0.0118, 0.0108, 0.0104, 0.00149D.0.013. 0.0118. 0.0108. 0.00149. 0.0104

C.0.013, 0.0118, 0.0108, 0.0104, 0.00149

MIDDLE SCHOOL

Bottom of a shopping bag measures 8 inches by 10 in the bag has a height of 12 inches how much paper is needed to make the bag? a)256 in2 (squared)

b)296 in2 (squared)

c)512 in2 (squared)

d)592 in2 (squared)

C) 512 in2 (squared)

HIGH SCHOOL

Factor 3x^2 + 2x -18x - 12

3x^2+ 2x -18x -12

= (3x^2+ 2x) -(18x+ 12)

= x(3x+ 2) -6(3x+ 2)

= (3x+2)(x-6)

Final answer: (3x+2)(x-6)

= (3x^2+ 2x) -(18x+ 12)

= x(3x+ 2) -6(3x+ 2)

= (3x+2)(x-6)

Final answer: (3x+2)(x-6)