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
omeli [17]
2 years ago
15

-12 + 6x = 6 + 5(x - 2) Please help and EXPLAIN

Mathematics
1 answer:
icang [17]2 years ago
7 0

Answer: x=8

Step-by-step explanation:

Distribute 5(x) and 5(-2)

-12 + 6x = 6 + 5x + (-10) OR 5x - 10

Flip if you'd like

6x - 12 = 6 + 5x - 10

Combine like terms

6x−12=(5x)+(6+−10)

6x - 12 = 5x - 4

Subtract 5x from both 6 and 5

6x - 5x = 5x - 5x

5x cancels out, so you're left with x, 12, and -4

x - 12 = -4

Add 12 to 12 and -4

12 + 12 = -4 + 12

12 cancels out

-4 + 12 = 8

x = 8

You might be interested in
Given that the value of b can never be equal to -1, determine if the equations are intersecting, parallel, or coincident.
eimsori [14]
<h3>Answer: A) intersecting</h3>

-----------------------------------------------

Work Shown:

Solve the first equation for y

x+y = ab

y = -x+ab

y = -1x + ab

slope = -1, y intercept = ab

-----------

Solve for y in the second equation

bx - y = a

bx - y - a = 0

bx-a = y

y = bx - a

Slope = b, y intercept = -a

-----------

The first equation has a slope of -1. The second equation has a slope of b.

Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.

7 0
4 years ago
What expression can be used for estimating 868 divided by 28
weeeeeb [17]
868 is about 870, and 28 is about 30, so your expression would be 870 divided by 30 which would be 29 and the actual answer is 31, so your estimate would be close to your actual answer.
6 0
3 years ago
Read 2 more answers
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a
kkurt [141]

Answer:

b=h=\sqrt{6} m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

Volume of box, V=b^2h

Substitute the values

V=b^2\times \frac{18-b^2}{2b}

V=\frac{1}{2}(18b-b^3)

Differentiate w. r.t b

\frac{dV}{db}=\frac{1}{2}(18-3b^2)

\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

\implies 18-3b^2=0

\implies 3b^2=18

b^2=6

b=\pm \sqrt{6}

b=\sqrt{6}

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

Hence, the volume of box is maximum at b=\sqrt{6}.

h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}

h=\frac{18-6}{2\sqrt{6}}

h=\frac{12}{2\sqrt{6}}

h=\sqrt{6}

b=h=\sqrt{6} m

7 0
3 years ago
Which point has coordinates (4.9,3.9)
jeka57 [31]

Point C is the answer

3 0
3 years ago
Read 2 more answers
Today, the sum of the ages of Bea and her sister is 18. What would be the sum of their ages next year?
Nady [450]
Hello,

Let's assume a the age of Bea
b the age of her sister

This year: a+b=18

Next year (a+1)+(b+1)=(a+b)+(1+1)=(a+b)+2=18+2=20

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please help me
    12·1 answer
  • If a player is 20 feet away from the basket and wants to shoot the basketball the ball should be at its maximum height at what d
    15·1 answer
  • What is 5,415×462pls help me
    12·2 answers
  • Kevin made 12 5/6 bags of popcorn for a movie night with some friends. Together they ate 7 1/6 bags of it. How much popcorn was
    10·1 answer
  • - Let y represent the width of a rectangle and let x represent the rectangle's lengu.
    14·1 answer
  • Eight women and six men apply for a job at Google. Four of the applicants are selected for interviews. Let X denote the number o
    14·1 answer
  • Does Microsoft supply needs. wants, or both? Explain.
    5·1 answer
  • Select the correct answer from the drop-down menu.
    7·1 answer
  • Measures of Center and Variability
    8·2 answers
  • HELPPP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!