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.
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
HELP PLEASEEE 35 POINTSS WILL GIVE BRAINLIEST
Which is a correct two-column proof?
Given:
Prove: L ll N
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%
suppose a+b=2a. which one of these expressions equals b-a?
A. 2b
B. 2a
C. 0
D. a/b
E. -2b
There are 20 people in Susan’s class. Each person gives a card to everyone else in the class. How many cards were exchanged?
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
3/5 List the first five multiples of the denominator of the fraction in order.
PLS I WILL GIVE 20 POINTS AND BRAINLIEST
How many numbers are in the list 2008, 2003, 1998, . . . 8, 3?
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.
Rhonda sells textbooks. Her paycheck is found using the formula p=30b+15, where b is the number of textbooks she sells. Solve the formula for b.
A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. a. 4 in = 2 ft c. 8 in = 4 ft b. 1 in = 2 ft d. 8 in = 10 ft Please select the best answer from the choices provided
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?
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.
I need the answer for #4 a&b
Help me out on this kne
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.
Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much dog food , in pounds, was remaining in the bag at the end of the two months ? Show your work ..... How many pounds
fill in the blank to make an equivalent ratio
_ : 6 = 4 : 3
Find the greatest common factor of 25x^2 and 20b^4
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]
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?
For which of the following is the arc between the two hands of a clock greater than a semicircle?
The hands are at 11 and 6; arc measured counterclockwise
The hands are at 2 and 8; arc measured clockwise
The hands are at 2 and 8; arc measured counterclockwise
The hands are at 11 and 6; arc measured clockwise
Of 140 seventh grade students, 15% earn the presidential physical Fitness award. How many students earn the award
What is the equivalent ratio to 64/256?
What is the smallest power of 10 that would exceed 999,999,999,991
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.
what is 65% of 300!???
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).