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
bulgar [2K]
4 years ago
14

If 5a=-4b+5 and 3a=-2b+3, what is 6b?

Mathematics
1 answer:
Misha Larkins [42]4 years ago
6 0
There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.
You might be interested in
FILL IN THE BLANKS: Given P(x) = 3x5 + 7x6 + 11x7 – 12x - 10
Mama L [17]

The polynomial  3x^5 + 7x^6 + 11x^7 - 12x - 10 is in standard form if the exponents are arranged in decreasing order.

<h3>Polynomial in Standard Form</h3>

Polynomial is an algebraic expression with one or more terms. For example :2x^3+6x^4+x^2+x+2. In this example and in your exercise the exponents of the terms are not arranged in order.

Um polynomial is in <u>Standard Form</u> when the exponents of the terms are in decreasing order. See more details below.

2x^3+6x^4+x^2+x+2is not in standard form because the exponents are not written in decreasing order.

6x^4+2x^3++x^2+x+2 is in standard form because the exponents are written in decreasing order.

Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.

Read more about polynomials here:

brainly.com/question/4142886

4 0
3 years ago
A box contain 9 novels, 7 biographies, and 5 reference books. Alyssa randomly chooses a book, then she randomly chooses another
Tanzania [10]
first\ book:\\9\ novels+7\ biographies+5\ reference=21\ all\ books\\probability:\\P_1("chooses\ biographie")= \frac{7}{21} = \frac{1}{3} \\\\second\ book:\\9\ novels+6\ biographies+5\ reference=20\ all\ books\\probability:\\P_2("chooses\ biographie")= \frac{6}{20} = \frac{3}{10}\\\\the\ probablity\ that\ Alyssa\ chooses\ two\ biographies:\\P("two\ biographies")=P_1\cdot P_2= \frac{1}{3}\cdot \frac{3}{10}  = \frac{1}{10} =0.1\\\\Ans.\ Probability\ is\ 0.1
5 0
3 years ago
K=mv^2/2 solve for v
matrenka [14]

Answer: v=\sqrt[]{\frac{2K}{m} }

Step-by-step explanation:

K=\frac{mv^2}{2}

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

2*K=\frac{mv^2}{2}*2

2K=mv^2

Divide by m to isolate v^2.

\frac{2K}{m}=\frac{mv^2}{m}

\frac{2K}{m} =v^2

To eliminate the square and isolate v, extract the square root.

\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}

\sqrt[]{\frac{2K}{m} }=v

let's rewrite it in a way that v is in the left side.

v=\sqrt[]{\frac{2K}{m} }

4 0
3 years ago
I need it step by step​
elena-s [515]

Answer:

Step-by-step explanation:

we want y by itself...sooo

y - 19 = - \frac{6}{10}(x - (-5))

y - 19 = - \frac{6}{10}(x+5)

y - 19 =  - \frac{6}{10}x - \frac{6}{2}

y = - \frac{6}{10}x - 3 +19

y = - \frac{6}{10}x + 16

4 0
3 years ago
Find the slant height l of the cone given the surface area S.
Oduvanchick [21]

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

6 0
3 years ago
Other questions:
  • Oscar ran the 100-yard dash in 12.41 seconds. Jesiah ran the 100-yard dash in 11.85 seconds. How many seconds faster was jesiah'
    15·1 answer
  • PLZZZ HELP!!<br><br> Will give brainliest.
    5·1 answer
  • Through 2,4 parallel to x=0 PLEASE HELP ME
    11·1 answer
  • PLEASE HELP ASAP!:<br><br> Solve for a and b<br> 6a-b=-5<br> 4a-3b = -8
    6·1 answer
  • Samuel can type nearly 40 words per minute how many hours would take to type 2.5x10.5 words
    14·1 answer
  • Number 10 I don’t know how to do
    10·1 answer
  • What is the probability rolling a number less than 8 on a 12 sided die
    14·1 answer
  • Which number is a solution of the inequality 13.4 &lt; b<br> A. 17<br> B. 8<br> C. 10<br> D. 1
    13·1 answer
  • How de you find standard deviation ​
    9·1 answer
  • Pls help i will give brainliest to the correct answer!! :)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!