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
galben [10]
3 years ago
5

2(10r-7)-2(1+10r)=-r+2r

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

r = -16

Step-by-step explanation:

We will use "distributive" property and "adding like terms" concepts in solving for the unknown variable "r".

The distributive property is:

a(b+c) = ab + ac

So

2(10r-7) = 20r - 14

also

-2(1+10r) = -2 - 20r

So, our equation becomes:

2(10r-7)-2(1+10r)=-r+2r\\20r-14-2-20r=-r+2r

Now we add like terms and move variables (r) to one side and numbers to another. Like terms mean:

3r + 5r = (3+5)r = 8r

So, we have:

20r-14-2-20r=-r+2r\\-16=r\\r=-16

So,

the value of r is -16

You might be interested in
Rationalize the denominator and simplify. √a+1 - 2 / √a+1 + 2
goldfiish [28.3K]

Answer:

5+a-4√a+1 / a-3

3 0
3 years ago
What is the value of the expression below when y = 4 and z = 4 , 6y - 3z ? Please answer !!!!!!!!! Will mark Brianliest !!!!!!!!
yanalaym [24]

Answer:

12

Step-by-step explanation:

6y - 3z

6(4) - 3(4)

24 - 12

12

Hope this helps plz mark me as Brainliest

7 0
3 years ago
Can someone please solve this?
Molodets [167]
Multiplicity of a root means, is there that many times.

\bf \begin{cases}
x=3\implies &x-3=0\\
x=2\implies 
&\begin{cases}
x-2=0\\
x-2=0\\
x-2=0
\end{cases}
\end{cases}
\\\\\\
(x-3)(x-2)~~(x-2)(x-2)=\textit{original polynomial}
\\\\\\
(x^2-5x+6)~~(x^2-4x+4)=y
\\\\\\
x^4-4x^3+4x^2-5x^3+20x^2-20x+6x^2-24x+24=y
\\\\\\
1x^4-9x^3+30x^2-44x+24=y
3 0
3 years ago
Ben deposited $6500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12
Trava [24]

Answer: $2184

Step-by-step explanation:

2.8% interest annaully

Deposit $6500

Annaully interest

2.8% x $6500 / 100

= $182

Interest after 12 years.

Principal x Rate x Time/100

= $6500 x 2.8% x 12 /100

= $2184

5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. is parallel to , an
klio [65]

Answer:

The question is not complete, below is a complete question with the accompanying diagram:

Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EF is perpendicular to AB

The number of 90° angles formed by the intersections of Ef and the two parallel lines AB and CD is ____

Answer:

The number of 90° angle formed = 8 angles

Step-by-step explanation:

From the question and attached diagram, the following information is given:

AB is parallel to CD

EF is perpendicular to AB

Required: number of 90° angles formed by the intersection of the perpendicular line and the parallel lines.

<em>Note, the angle formed between a line and a perpendicular line = 90°</em>

From the diagram:

Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles

Number of 90° angle formed by intersection of perpendicular line EF and line  CD = ∠5, ∠6, ∠7 and ∠8 = 4 angles

Total 90° angles formed by perpendicular line with lines = ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 = 8 angles

4 0
3 years ago
Other questions:
  • Nine times the input minus seven is equal to the output. Which of the following equations describes this function?
    15·2 answers
  • Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents t
    8·2 answers
  • What is the probability of rolling 2 dice with sides 2,4,6, and 8? Then, what is the probability of getting a sum of 4,6,8,10,12
    10·1 answer
  • Assume the population of wolves in a wilderness reserve area increases by the same number from month to month due to migration.
    14·1 answer
  • Reas the above and answer​
    15·1 answer
  • If 30% of the pupils in a school are boys, what percentage of the pupils are girls?
    12·2 answers
  • The gas tank in Ava's car holds 17 gallons of gasoline. She can drive about 32 miles for each gallon. Which is the best estimate
    7·1 answer
  • the perimeter of a square can be found using P = n + n + n + n, where n is the length of one side of the square. Which equation
    8·1 answer
  • What is the name given to an unlimited population
    5·1 answer
  • Write One equivalent expression to: 90 + 10x
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!