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
ozzi
3 years ago
12

4 (b - 3 ) = 6 steps in order from first to last

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

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

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

Lorico [155]3 years ago
3 0

Answer:

b=4.5

Step-by-step explanation:

distribute

4b-12=6

add 12

4b=18

divide 4

b=4.5

You might be interested in
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
2 years ago
John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
lesya692 [45]
J=john
m=mary
j is 2 times as old as mary
j=2 times m

sum is 21
m+j=21
find mary
subsitute

j=2m therefor subsitute 2m for j
m+2m=21
add like terms
3m=21
divide by 3
m=7

mary=7

*HOPE I HELPED!*
6 0
3 years ago
What is a possible value for the missing term of the geometric sequences?
Ganezh [65]
A(n)=ar^(n-1)  and we can find the rate upon using the ratio of two points...

50/1250=1250r^2/1250r^0

1/25=r^2

r=1/5  so

a(n)=1250(1/5)^1=250

...

You could have also found the geometric mean which is actually quite efficient too...

The geometric mean is equal to the product of a set of elements raised to the 1/n the power where n is the number of multiplicands...in this case:

gm=(1250*50)^(1/2)=250
8 0
2 years ago
Read 2 more answers
Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
Valentin [98]

Answer:

10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3

Step-by-step explanation:

Can't be the other ones

6 0
3 years ago
Read 2 more answers
What is the step method to find gcf of 28 and 42
Yuliya22 [10]
First, try multiplying multiple numbers to see if you get these numbers.
2=4,6,8,10,12,14,16,18,20,22,24,26,(28),30,32,34,36,38,40,(42)
7=7,14,21,(28),35,(42)
14= 14,(28),(42)
14, would be best; Alternatively, the GCF of 28 and 42 can be found using the prime factorization of 28 and 42.
<span>-The factors of 28 are 28, 14, 7, 4, 2, 1.<span>
-The factors of 42 are 42, 21, 14, 7, 6, 3, 2, 1.
Common numbers: 1 , 2, 7,14 , the largest number that can go into both is 14.
</span></span>
7 0
3 years ago
Other questions:
  • If a movie starts at 10:40am and lasts for 1h and 59min, then what time should the movie end.
    9·2 answers
  • the average or the blank is the blank divided by the blank or the amount of numbers being divided is what ​
    11·1 answer
  • Last year a buisness had profits of 8000 this year its profits are 5 times as great what are this years profits
    13·1 answer
  • 7. Eleven students go to lunch. There are two circular tables in the dining hall, one can seat 7 people, the other can hold 4. I
    6·1 answer
  • Which expression can be used to find the area of the rectangle shown on the coordinate plane?
    9·2 answers
  • For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz
    8·1 answer
  • 96 is what percent of 400?
    9·2 answers
  • I need help and a explanation please
    10·1 answer
  • (4-x)/(x^2-5x+4)+(2)/(x-1)=1<br><br> show all steps please!!
    14·1 answer
  • »How many lines of symmetry does this figure have? x​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!