Answer:
x > 8
Step-by-step explanation:
To isolate the variable, you must follow the order of the operations in reverse: that is, from the sum the opposite operation is the subtraction and from the multiplication the inverse is the division. As first you must undo the sum or subtraction before the multiplication, on both sides of the inequality you subtract 12, with the objective, as it was said, of isolating the variable x using the inverse operations.
-2*x+12 -12 < -4 - 12
Resolving you get:
-2*x < -16
Now, to isolate the variable x, you reapply the inverse operation, in this case the opposite operation of the multiplication. And ou should keep in mind that if the two members of an inequality are multiplied or divided by the same negative number, the resulting inequality changes direction. For this reason you get:
-2x divided by (-2) > (-16) divided by (-2)
Resolving these accounts, you finally get:
x > 8
describe the steps you used to solve the equation and find the amount of carries allowance. linear equation: 1/4a+1/3a+8=22
1/4a + 1/3a +8 =22
1st step add like terms:
1/4a +1/3a = 3/12a +4/12a = 7/12a
7/12a +8 =22
2nd step subtract 8 from each side:
7/12a = 14
3rd step divide both sides by 7/12 to get a:
a = 14 / 7/12
a = 24
Answer:
.
Step-by-step explanation:
1/4a + 1/3a +8 =22
1st step add like terms:
1/4a +1/3a = 3/12a +4/12a = 7/12a
7/12a +8 =22
2nd step subtract 8 from each side:
7/12a = 14
3rd step divide both sides by 7/12 to get a:
a = 14 / 7/12
a = 24
find the percent change from 70 to 56
This would be a 20% decrease. Since your going from 70 to 56, you would have a percentage of 20 for your decreasing percentage. The difference total is -14.
Step-by-step explanation:
Total Number = 70
Difference of two numbers = 70-56
= 14
Converting into percent = 14/70×100
= 20%
Help me out on this kne
Solve the equation 2/9w=24
The solution to the equation 2/9w=24 is found by multiplying both sides by the reciprocal of 2/9, which is 9/2, to isolate w. Simplifying further, we get w = 54.
Explanation:To solve the equation 2/9w=24, we start by isolating the variable w. To do this, we can multiply both sides of the equation by the reciprocal of the fraction that is multiplying w, which is 9/2.
The steps are as follows:
Multiply both sides by 9/2 to get rid of the fraction:(9/2) * (2/9)w = (9/2) * 24The 9/2 and 2/9 cancel each other out on the left side, leaving us with w alone.Now simplify the right side:w = 108/2Divide 108 by 2 to find w.w = 54So the solution to the equation is w=54.
To solve the equation 2/9w = 24, multiply both sides of the equation by the reciprocal of 2/9. Simplify the expression to find the value of w, which is 108.
Explanation:To solve the equation 2/9w = 24, we need to isolate the variable w. To do this, we can multiply both sides of the equation by the reciprocal of 2/9, which is 9/2. This gives us:
w = 24 * (9/2)
Simplifying the right side, we have:
w = 24 * 9 / 2
w = 216 / 2
w = 108
Therefore, the solution to the equation is w = 108.
triangle ABC is an obtuse isosceles triangle. angle a measures 20°. what is the number of degrees in the measure of the largest interior angle of tiangle ABC
HELP PLEASEEE 35 POINTSS WILL GIVE BRAINLIEST
Which is a correct two-column proof?
Given:
Prove: L ll N
Of 140 seventh grade students, 15% earn the presidential physical Fitness award. How many students earn the award
Mae Ling earns a weekly salary of 400 plus a 7% commission sales in a gift shop. How much would she make in a work week if she sold 4,700 worth of merchandise.
There are 20 people in Susan’s class. Each person gives a card to everyone else in the class. How many cards were exchanged?
What factor makes the number true
What is the equivalent ratio to 64/256?
I need the answer for #4 a&b
suppose a+b=2a. which one of these expressions equals b-a?
A. 2b
B. 2a
C. 0
D. a/b
E. -2b
Given the functions f(x) = − 4x − 1 and g(x) = 2x + 4, which operation results in the smallest coefficient on the x term?
Answer: addition
Step-by-step explanation:
Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x alt= 20.
What is 871 rounded to the nearest ten
Rounding 871 to the nearest ten gives us 870.
We have,
To round 871 to the nearest ten, we look at the ones digit, which is 1.
If the ones digit is 5 or greater, we round up to the next ten.
If the ones digit is less than 5, we round down to the previous ten.
In this case, the ones digit is 1, which is less than 5.
Therefore, we round down.
Rounding 871 to the nearest ten gives us 870.
Thus,
Rounding 871 to the nearest ten gives us 870.
Learn more about expressions here:
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3/5 List the first five multiples of the denominator of the fraction in order.
PLS I WILL GIVE 20 POINTS AND BRAINLIEST
amanda read 15 pages of her 150-page book in 2 hours. At this rate, how long will it take her to read the entire book?
What is the smallest power of 10 that would exceed 999,999,999,991
a cabbage palmetto has a height of 80 feet. what is the approximate height of the tree in meters?
If you select a card at random, what is the probability of getting:A number smaller than 5 (counting the ace as a 1)?
4 Aces, 4 2's, 4 3's 4 4's
= 16 cards total out of 52 cards
so probability would be 16/52 which reduces to 4/13
the probability of selecting a card smaller than 5 is [tex]\ = \frac{2}{5} \).[/tex]
Step 1
To calculate the probability of selecting a card with a number smaller than 5 (considering the ace as 1), we need to determine how many cards meet this condition and divide it by the total number of cards in the deck.
There are 4 suits in a standard deck of cards, each with cards numbered from 1 to 10 (excluding face cards).
For each suit, the numbers smaller than 5 are 1, 2, 3, and 4.
Step 2
So, for each suit, there are 4 cards smaller than 5.
Since there are 4 suits, the total number of cards smaller than 5 is [tex]\(4 \times 4 = 16\).[/tex]
Step 3
The total number of cards in the deck is [tex]\(4 \times 10 = 40\)[/tex], considering 4 suits with 10 cards each.
Therefore, the probability of selecting a card smaller than 5 is [tex]\( \frac{16}{40} = \frac{2}{5} \).[/tex]
Hank has 48 fish in his aquarium. He has 11 times as many tetras as quppies. How many of each type of fish does Hank have?
emilys meal costs 32.75 and darren's meal costs 39.88. emily treats darren by paying for both meals, and leaves a 14 percent tip. find the total cost
82.80
32.75+39.88=72.63
72.63x1.14=82.7982 rounds to 82.80
A circuit board manufacturer can produce 2,000 boards per hour. How many days will it take to produce 16,500 if the company has a 10 hour work shift? How many days will it take to produce 16,500?
Answer:
it will take less than one day.
Step-by-step explanation:
A circuit board manufacturer can produce 2,000 boards per hour.
If the company has a 10 hour work shift.
manufacturer can produce in one day = 2000 × 10 = 20,000
To produce 16,500 boards, they need time = 16,500 ÷ 2000 = 8.25 hours
The company will take to produce 16,500 boards in 8.25 hours less than one day.
Find the LCM of n^3 t^2 and nt^4.
A) n 4t^6
B) n 3t^6
C) n 3t^4
D) nt^2
Answer:
The correct option is C.
Step-by-step explanation:
The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.
The given terms are [tex]n^3t^2[/tex] and [tex]nt^4[/tex].
The factored form of each term is
[tex]n^3t^2=n\times n\times n\times t\times t[/tex]
[tex]nt^4=n\times t\times t\times t\times t[/tex]
To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.
[tex]LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t[/tex]
[tex]LCM(n^3t^2,nt^4)=n^3t^4[/tex]
The LCM of given terms is [tex]n^3t^4[/tex]. Therefore the correct option is C.
Answer: C) n 3t^4
Step-by-step explanation:
Definition : The least common multiple (LCM) of any two expressions is the smallest expression that is divisible by both expressions.
Given expressions : [tex]n^3 t^2 \text{ and } nt^4[/tex]
Factorization form of [tex]n^3 t^2 \text{ and } nt^4[/tex] will be :
[tex]n^3 t^2 =n\times n\times n\times t\times t[/tex]
tex]nt^4 =n \times t\times t\times t\times t[/tex]
The least common multiple of [tex]n^3 t^2 \text{ and } nt^4[/tex] :
[tex]n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4[/tex]
Hence, the LCM of [tex]n^3 t^2 \text{ and } nt^4=n^3t^4[/tex]
Thus , the correct answer is option C).
Find the greatest common factor of 25x^2 and 20b^4
what is 65% of 300!???
How many numbers are in the list 2008, 2003, 1998, . . . 8, 3?
The cost, in dollars, to rent a kayak is proportional to the number x of hours you rent the kayak. It costs $27 to rent the kayak for 3 hours. Write an equation that represents y.
-Question Worth 50 Points-
At the city park there were 15 blue jays, 6 cardinals, and 9 mockingbirds.
For each of the following questions set up a proportion equation and solve for the unknown.
1. If there were 6 mockingbirds, how many cardinals would there be at the park?
2. If there were 5 blue jays, how many cardinals would there be at the park?
3. If there were 20 cardinals, how many mockingbirds would there be at the park?