1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rina8888 [55]
3 years ago
9

What is the value of k in the following equation? 2(4k + 5) + 3(3 – 3k) = 25

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

K = - 6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(4k+5)+3(3−3k)=25

Step 1: Simplify both sides of the equation.

2(4k+5)+3(3−3k)=25

(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)

8k+10+9+−9k=25

(8k+−9k)+(10+9)=25(Combine Like Terms)

−k+19=25

−k+19=25

Step 2: Subtract 19 from both sides.

−k+19−19=25−19

−k=6

Step 3: Divide both sides by -1.

You might be interested in
Explain how solving 4x < -16 is different from solving -4x< 16.
nalin [4]

Answer:

Dividing by 4 and -4

Step-by-step explanation:

Solving 4x < -16 is different from solving -4x< 16, because for 4x < -16, you are dividing by a positive 4 on both sides, but for -4x< 16, you are dividing by -4 on both sides.

3 0
1 year ago
The surface area of a cube is 96 square inches. What is the length of an edge of the cube, in inches?
Bezzdna [24]

Answer:

16 inches

Step-by-step explanation:

A cube has 6 sides and to find the surface area you would multiply one side by 6, or add the six sides together. So instead, to find the length of one side, you divide the surface area, 96, by 6 to get 16.

Hope this helps you :)

7 0
3 years ago
Read 2 more answers
Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any c
Lostsunrise [7]
You're pretty close. It's all in the details.

A. Correct.

B. Correct.

C. Sign error in the boxed answer. -(-0.5) = 0.5
The graph shows c ≈ 1.855. If a is more than that and decreasing, area is increasing. The sign of dA/dt will be positive. (Compare to D)

D. Units are not shown. Numerical value is correct.

6 0
3 years ago
Will give brainiest algebra 2
mars1129 [50]

The sum of squares of numbers is: 13

Step-by-step explanation:

Let x and y be two numbers

Then,

Difference of the squares of the numbers will be:

x^2-y^2

Product will be:

xy

Given identity is:

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Given values are:

Difference of the squares of the numbers=x^2-y^2=5

Product of numbers = xy = 6

Putting the values in the identity

(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169

As we have to only find x^2+y^2

Taking square root on both sides

\sqrt{(x^2+y^2)^2}=\sqrt{169}\\x^2+y^2=13

The sum of squares of numbers is: 13

Keywords: Identities

Learn more about identities at:

  • brainly.com/question/8902155
  • brainly.com/question/8955867

#LearnwithBrainly

7 0
4 years ago
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
3 years ago
Other questions:
  • The ratio of green marbles to yellow marbles in Naafay's bag is equal to 2:3. What percent of the marbles in the bag are green m
    12·1 answer
  • Math help please!!!!
    15·1 answer
  • The chess club members bought 6 tickets to a tournament for $15.How much would they have paid if all 9 members wanted to go? Sho
    8·2 answers
  • 7. Jenny wants to buy some shoes. She found the shoes at the store for a 10 points
    13·1 answer
  • Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=100%20%5Ctimes%2068%20%5Cdiv%2015" id="TexFormula1" title="100 \times 68 \div 15" alt="100 \ti
    15·1 answer
  • Mateus recorded the number of miles driven and the amount
    9·1 answer
  • √17 is between 16 and 18? true or false
    8·1 answer
  • Find the values of w, x and y.
    11·1 answer
  • Define the term of mathematics ?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!