If a number is increased by 12 and then divided by 4​, the result is 5. The algebraic equation is ?. The number is x= ?

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

Answer:

x^2-2x-6x^2+3x

x^2+x-6x^2

-5x^2+x

Answer:

Answer choice 4

Step-by-step explanation:

4(5x+3y)

By distributive property, this can be rewritten as:

4(5x)+4(3y)=

20x+12y

or answer choice 4. Hope this helps!

Answer:

4) 20x+12y

Step-by-step explanation:

You have to use distivtive property

I hope this helps

Answer:

[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]

Step-by-step explanation:

Answer = a. 16x+13

Answer: -x + y = 8

Step-by-step explanation:

So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.

Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.

Lets plug in (2,10)

10 = 2 + b

10 - 2 = b

b = 8

So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.

-x + y = 8

Step-by-step explanation:

6 + 3y + 4 < 6

10 + 3y < 6

3y < -4

y < -4/3

Answer:

y < -4/3

Step-by-step explanation:

6+ Зу + 4 < 6

Combine like terms

10 +3y < 6

Subtract 10 from each side

10 +3y - 10 < 6-10

3y < -4

Divide each side by 3

3y/3 < -4/3

y < -4/3

Answer:

Ali is 20

Adam is 25

Step-by-step explanation:

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

D

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Answer:

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Step-by-step explanation:

The expression to be rewritten has the following form:

[tex]\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )[/tex]

A polynomial as a sum of terms consists in a sum of terms of the form [tex]c_{i} \cdot a^{k(i)}[/tex], where [tex]c_{i}[/tex] and [tex]k_{i}[/tex] are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:

[tex]a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})[/tex]

[tex]2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }[/tex]

[tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex]

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

x + y = 26  and x – y = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just did it

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

Replace the range for f(x)

So...

0=4-2x

x=2

4=4-2x

x=0

8=4-2x

x=-2

Solve!

These are your domains!

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Answer:

Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.

Step-by-step explanation:

Using the Pythagorean Theorem you say:

AB²=AC²+CB²

AB²=12²+5²

AB²=144+25

AB²=169

AB=√169

AB= 13

Answer:

166.25 cm²

Step-by-step explanation:

W = L - 8

2W + 2L = 54

2(L - 8) + 2L = 54

2L - 16 + 2L = 54

4L - 16 = 54

4L = 70

L = 17.5, W = 9.5

A = 17.5 x 9.5 = 166.25 cm²

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

Step-by-step explanation:

The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

3ad3 will be the answer

Step-by-step explanation:

Answer:

3ad3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This is a function,  There is a one to one correspondence between the input and the output and it would pass the vertical line test.

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

The number of nickels in 250 rolls is 10000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40

                                                     = 10000

Hence, The number of nickels in 250 rolls is 10000

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

Step-by-step explanation:

110 = 70 + X [ extarior angle property]

or, 110 - 70 = X

or , 40 = X

HOPE IT HELPS ...

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