MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

7k

Step-by-step explanation:

The given expression is

We need to find the simplified form of the given expression.

Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.

The given expression can be rewritten as

On combining like terms we get

Therefore, the equivalent expression of the given expression is 7k.

Answer:

Answer:

7k

Step-by-step explanation:

-k - (-8k)= (-1+8) k

MIDDLE SCHOOL

The total cost of football tickets varies directly with the number of tickets purchased. Four tickets cost $32. How many tickets can you buy for $56?

U can purchase four tickets

COLLEGE

Divide : −4 4/5÷4 Hurry pls

The simplified form of the given expression −4 4/5 ÷ 4 is -6/5.

What is the simplified form of the given expression?Given the expression in the question;

−4 4/5 ÷ 4

First, convert the mixed fraction to an improper fraction

−4 4/5 = -( 4×5 + 4 )/5 = -24/4

Next, write the equation as;

−4 4/5 ÷ 4

−24/5 ÷ 4

Now, multiply the numerator by the reciprocal of the denominator.

−24/5 ÷ 4

−24/5 × 1/4

(-24 × 1 )/( 4 × 5 )

-24/20

-6/5

Therefore, the simplified form of the given expression −4 4/5 ÷ 4 is -6/5.

Learn to solve problems with fractions here: brainly.com/question/27122308

#SPJ1

MIDDLE SCHOOL

How can u write a mathematical proof to show that (x+a) (x+b) is equivalent to x2+ ax+bx +ab

(x+a) * (x+b)

First off you have to solve whats in the parentheses

First Parentheses: x*x = x^2 Then : x*b = bx

I multiplied x times x which is x squared, then i multiplied x times b which equals bx

Second parentheses: a*x= ax , Then: a*b=ab

i multiplied a times x which is ax, then i multiplied a times b and that equals ab

so our answer is = x2+bx+ax+ab

Right here

All of this together

COLLEGE

A total of 303 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Simple ratio

2:1

Add them you get 2+1=3 (LOL)

3--------->303

1---------->303/3=101

2--------->101*2=202

Number of adult tickets sold will be 202

As simple as that.

=)

2:1

Add them you get 2+1=3 (LOL)

3--------->303

1---------->303/3=101

2--------->101*2=202

Number of adult tickets sold will be 202

As simple as that.

=)

Answer:

202 is incorrect the actual answer is 101

Step-by-step explanation:

MIDDLE SCHOOL

Help me answer this question please.There were 3 bands that performed at talent show. What percent of the 16 group acts were band performances?

Divide the number of bands by the total acts:

3 /16 = 0.1875

Multiply by 100:

0.1875 x 100 = 18.75% were bands. ( Round answer as needed.)

MIDDLE SCHOOL

What is the equation of the line that is parallel to the given line and has an x-intercept of –3? y = x + 3

y = x + 2

y = x + 3

y = –x + 2

You did not include the given line to which your line is parallel to.

Nevertheless, I can explain you how to solve this problem and which the possible solutions are.

1) x-intercept = - 3 = y = 0

The only two equations that include the point (-3,0) are y = x + 3 and y = - x - 3 (you likely forgot to place the negative signs).

You can prove that in this way:

a) y = x + 3

y = 0 => x + 3 = 0 => x = - 3

b) y = - x - 3

y = 0 => - x - 3 = 0 => x = - 3

Then, so far you have two options: y = x + 3 and y = - x - 3.

2) The slope of y = x + 3 is 1 and the slope of y = - x - 3 = - 1 (the coefficient of the x).

3) You know that line whose equation you are determining is parallel to the given line. That means that their slope are the same. So, your next step is to determine the slope of the given line. It shall be either 1 or - 1. Once you have the slope, you will know whether the solution is y = x + 3 or y = - x - 3.

Nevertheless, I can explain you how to solve this problem and which the possible solutions are.

1) x-intercept = - 3 = y = 0

The only two equations that include the point (-3,0) are y = x + 3 and y = - x - 3 (you likely forgot to place the negative signs).

You can prove that in this way:

a) y = x + 3

y = 0 => x + 3 = 0 => x = - 3

b) y = - x - 3

y = 0 => - x - 3 = 0 => x = - 3

Then, so far you have two options: y = x + 3 and y = - x - 3.

2) The slope of y = x + 3 is 1 and the slope of y = - x - 3 = - 1 (the coefficient of the x).

3) You know that line whose equation you are determining is parallel to the given line. That means that their slope are the same. So, your next step is to determine the slope of the given line. It shall be either 1 or - 1. Once you have the slope, you will know whether the solution is y = x + 3 or y = - x - 3.

MIDDLE SCHOOL

Given: ∆DEK, DE = EK EF − ∠ bisector of ∠E

m∠DEF = 44°

DK = 16

Find: KF

m∠DFE

DFE=46

kf=8

because ef is bisector that means e is 44+44=88 since the triangle is isosceles the other angles are equal 180-88=92 so each angle is 46. since 46+44=90 the smaller triangle def and efk are right. so I think that makes ef the perp bisector so that de=FM so kf=1/2dk.

kf=8

because ef is bisector that means e is 44+44=88 since the triangle is isosceles the other angles are equal 180-88=92 so each angle is 46. since 46+44=90 the smaller triangle def and efk are right. so I think that makes ef the perp bisector so that de=FM so kf=1/2dk.

HIGH SCHOOL

a cell phone company charges $45 per month for unlimited calls and $0.25 per text messages. another call phone company $0.15 per text messegaes and $70 per month for unlimited calls. write and solve an equation to evaluate the time the cost from both companies will be the same

After 250 text messages, both company costs will be the same.

The total cost for the first company is:

= Fixed amount per month + (Amount per text message x Number of text messages)

= 45 + (0.25 × x)

= 45 + 0.25x

The total cost for the second company is:

= 70 + (0.15 × x)

= 70 + 0.15x

The number of text messages that will make the cost the same can be found by equating the formulas:

45 + 0.25x = 70 + 0.15x

0.25x - 0.15x = 70 - 45

0.10x = 25

x = 25 / 0.10

x = 250 text messages

In conclusion, both company costs will be the same after 250 text messages are sent.

Find out more at brainly.com/question/13479192.

You first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.

COLLEGE

Solve for x, with variables on both sides of equation. (Note: x is the same thing as 1x) You must show your work! 9x = x + 4

Hello! We already have the equation set up, which is 9x = x + 4. Let's solve for x. Subtract x from both sides to get each side by itself x - x cancels out. 9x - x is 8x. That leaves 8x = 4. Now, divide each side by 8 to isolate the x. 8x/8 cancels out. 4/8 is 4/8 or 1/2 in cimplest form. Let's plug this value in and see if it works. 9 * 1/2 is 4 1/2. 1/2 + 4 is 4 1/2. 4 1/2 = 4 1/2. There. x = 1/2.