To solve this, write an equation to model the situation and solve the equation.
The equation can be: [tex]3(x-9)=27[/tex]
Then solve the equation.
[tex]3x-27=18[/tex]
[tex]3x=45[/tex]
[tex]x=15[/tex]
Luigi is 15 years old.
we determine that Luigi is 15 years old.
The question involves solving for Luigi's age based on the given relationship between Mario and Luigi's ages. We are told that Mario's age is three times the difference between Luigi's age and the number 9, and that Mario is currently 18 years old. We need to create an equation and solve for Luigi's age.
Let's let L represent Luigi's age. The problem statement tells us:
Mario's age = 3 * (L - 9)
Given that Mario's age is 18, we substitute this value into the equation:
18 = 3 * (L - 9)
To find L, we start by dividing both sides of the equation by 3:
6 = L - 9
Then, we add 9 to both sides to solve for L:
15 = L
Therefore, Luigi is 15 years old.
-2.1 1.3 1.5 -1.2 -0.6 0.9 3.4 from least to greatest
-2.1 , -1.2 , -0.6, 0.9, 1.3 , 1.5 , 3.4
Hope this helps!
-2.1,-1.2,-.6,.9,1.3,1.5,3.4
What is 1 + 0.9 + 0.08 + 0.001 in standard form ?
the answer is 1.981
Answer:
Standard form 1.981.
Step-by-step explanation:
Given : 1 + 0.9 + 0.08 + 0.001 .
To find : What is standard form .
Solution : We have given 1 + 0.9 + 0.08 + 0.001 .
1 +[tex]\frac{9}{10}+\frac{8}{100}+\frac{1}{1000}[/tex].
We can see that 9 is at tenth place and 8 is at hundredth place and 1 is at thousandth place .
So,
1.981
Therefore, Standard form 1.981.
find two consecutive integers whose product is 702
2 consecutive integers with the product of 702 are 27 • 26, or since the question doesn’t specify whether it should be positive or negative, it could also be (-27) • (-26)
Final answer:
The two consecutive integers whose product is 702 are found by solving the quadratic equation n² + n - 702 = 0. Factoring the equation leads to the integers 26 and 27.
Explanation:
To find two consecutive integers whose product is 702, we can denote the first integer as 'n' and the second as 'n+1'. Then the equation to represent their product is n(n+1) = 702. To find the value of 'n', we solve the quadratic equation
n² + n - 702 = 0.
Factoring the quadratic equation, we look for two numbers that multiply to -702 and add up to 1. We find that 26 and -27 meet these criteria. So the equation factors to (n + 27)(n - 26) = 0. The two possible values for 'n' are -27 and 26.
The two consecutive integers are 26 and 27 because -27 gives negative integers which do not result in a positive product of 702. Therefore, the two consecutive integers whose product is 702 are 26 and 27.
it's really easy, but I need help with it
What is the aswer of 2\3x = 12.
For this case we must solve the following equation:
[tex]\frac {2} {3x} = 12[/tex]
We multiply by 3x on both sides of the equation:
[tex]2 = 12 * 3x\\2 = 36x[/tex]
We divide between 36 on both sides of the equation:
[tex]x = \frac {2} {36}[/tex]
We simplify:
[tex]x = \frac {1} {18}[/tex]
Answer:
[tex]x = \frac {1} {18}[/tex]
an elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Whats the integer that represents the change in the elephant's weight each month
To find how many pounds the elephant lost per month, divide 24lbs by 6 months, you get 4 pounds per month. Therefore the elephant loses 4 pounds per month.
Answer: 4 pounds per month
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
GCF or LCM
the LCM of 4,6 and 16 is 48
so every 48 days she does all the activities on the same day
Jade farm has 9 chickens,each of which laid 3 eggs. Jases farm has 4 horses. ednas farm has chickens which laid a total of 23 eggs. jase wonders whose chickens laid more eggs.
The answer is that Jade's chickens laid more eggs. Since Jade's farm includes 9 chickens, which each laid 3 eggs, multiply 9 and 3 and you get 27. Edna's farm has chickens which, in total, laid 23 eggs, leading to Jade's chickens with 27 eggs to be more than the eggs laid by Edna's chickens. :)
Answer:
Jade's chickens laid more eggs.
Step-by-step explanation:
Jade farm has number of chickens = 9
Each chickens laid number of eggs = 3
Total number of eggs on Jade's farm = 9 × 3 = 27 eggs
Ednas farm has chickens which laid a total of 23 eggs.
Difference between number of eggs = 27 - 23 = 4
Therefore, Jade's chickens laid 4 more eggs.
3x + 4y = 16 slope y and x intercepts
I think the x-intercept will be (16/3,0)
AND the y-intercept to be (0,4)
slope=-3/4
x intercept= (16/3,0)
y intercept=(0,4)
3/5 of a number is 30. What's the number?
To figure out the number we need to set up our equation to make more sense.
3/5 = 30/x (x is our missing number)
We know that what ever you do to the top of the fraction you can do to the bottom.
So if we multiply 3 x 10 we get 30.
Therefore to get the number we must multiply 5 by 10
5 x 10 = 50
So our answer and missing number is 50
Stefano had $46 in a bank account that he was not using. Each month
for three months, the bank withdrew ¼ of this amount as a service fee.
How much was left in the account after the last withdrawal?
Final answer:
After three monthly withdrawals of ¼ of the account balance from Stefano's initial $46, he is left with $19.41 in his account.
Explanation:
To calculate how much money Stefano has left in the account after each monthly withdrawal of ¼ of the account balance, we will need to subtract ¼ of the balance three times, once for each month.
Initial amount in Stefano's account: $46
First withdrawal: 1/4 of $46 = $11.50 Stefano's balance after first withdrawal: $46 - $11.50 = $34.50
Second withdrawal: 1/4 of $34.50 = $8.625 Stefano's balance after the second withdrawal: $34.50 - $8.625 = $25.875
Third withdrawal: 1/4 of $25.875 = $6.46875 Stefano's balance after third withdrawal: $25.875 - $6.46875 = $19.40625
After the last withdrawal, Stefano has $19.41 in the account (rounded to the nearest cent).
The bike rental company has determined that they will charge based on the nearest half hour. If Michael rented a the bike for 5.5 hours how much would that cost ?
Answer:
If it were.... 5 dollars or so... That would be 30 dollars i think...
Step-by-step explanation:
The rental cost of the bike for 5.5 hours will be $55.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the bike rental company has determined that they will charge based on the nearest half-hour is $5.
The number of half-hours in 5.5 hours,
N = 5.5 / 0.5 = 11
The rental cost will be,
C = 11 x 5
C = $55
Therefore, the rental cost of the bike for 5.5 hours will be $55.
The complete question is given below.
The bike rental company has determined that they will charge based on the nearest half hour is $5. If Michael rented the bike for 5.5 hours how much would that cost?
To know more about an expression follow
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what is the product of -15*(-1/2)
what is the product of -15*(-1/2)
-15 * (-1/2)
-15 * -0.5 =
7.5
Hello!
"+"- sum"*"-product "-"- difference[tex]-15*(-\frac{-1}{2} )[/tex]
[tex](\frac{-15}{1}) (\frac{-1}{2})[/tex]
[tex]\frac{(-15)(-1)}{(1)(2)}[/tex]
[tex]=\frac{15}{2}[/tex]
You can also round up to the nearest tenths is 7.5 to 8.0
Hope this helps! Thank you for posting your question at here on Brainly.
-Charlie
A Ferris wheel has 20 cars that are equally spaced around the circumference of the wheel. The wheel rotates so that the car at the bottom of the ride is replaced by the next car. By how many degrees does the wheel rotate?
The Ferris wheel rotates ______ ° between successive cars being at the bottom.
Answer:
The Ferris wheel rotates 18° between successive cars being at the bottom.
Explanation:
Angle inside a circle = 360°
No of cars in a Ferris wheel = 20
When the bottom of the ride is replaced by the next car, the angle rotated by Ferris wheel is same as the angle between two consecutive cars towards center of Ferris wheel.
Angle between two consecutive cars of Ferris wheel = 360/20 = 18°
The Ferris wheel rotates 18° between successive cars being at the bottom.
Final answer:
The Ferris wheel rotates by 18 degrees to move from one car to the next in sequence at the bottom of the wheel.
Explanation:
To determine by how many degrees the Ferris wheel rotates when one car is replaced by the next at the bottom, we need to consider the full rotation of the wheel. A full rotation of a circle is 360 degrees. Since there are 20 cars equally spaced around the circumference, we divide 360 degrees by the number of cars to find the rotation angle between successive cars.
The calculation is as follows:
360 degrees / 20 cars = 18 degrees
Therefore, the Ferris wheel rotates by 18 degrees between successive cars being at the bottom of the ride.
Help with 5 2/5 ÷ 3 2/10=
The Answer is 1.6875 Hope this helps
Which of the following equations represents a horizontal line passing through the point (2,4)? y = 2x + 4 y = 4 x = 2 y = 4x + 2
The correct answer is y = 2x + 4.
The slope would be 2 and the y intercept would be 4. Now that we kbow this, we can determine that if we continuously put these points on a graph, it will make a horizontal line.
Hope this helps!!
If y=15 when x=3/4, find x when y =25. Show work please!
Set up a proportion: x/y = x/y
(.75)/(15) = (x)/(25)
Then cross multiply:
(.75)(25) = (15)(x)
18.75 = 15x
x = 1.25 or (5/4)
There you go :)
Solve the equation for y
[tex]8 = 3x + 6y[/tex]
move variable to the left side and change its sign
-3x+8=6y
Move constant to the right side and change its sign
-3x=6y-8
Divide both sides of the equation by -3
x=-2y+8/3
13*52 using the distributive property
Hello!
[tex]13*52=676[/tex]
Explanation: This question is super easy. This question it just like a order of operations. First you had to multiply by 52, 13*52= 676 is the right answer. Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie
Iona's favorite peaches are are $2.50 per pound at the local Farmers Market she bought 3.5 lb of peaches how much did she spend
Final answer:
Iona spent $8.75 on peaches after buying 3.5 pounds at $2.50 per pound at the local Farmers Market.
Explanation:
Iona's favorite peaches cost $2.50 per pound at the local Farmers Market, and she purchased 3.5 pounds of peaches. To calculate the total cost, we multiply the price per pound by the number of pounds purchased:
Total cost = Price per pound × Number of pounds
Total cost = $2.50 × 3.5
Total cost = $8.75
Therefore, Iona spent $8.75 for the peaches at the local Farmers Market.
USING ROA FORMULA , ANSWER IS IN % FORM. IM STUMPED. THE ABC COMPANY HAS NET INCOMEO OF $56K, ASSETS AT THE BEGINNING OF THE YEAR ARE $263K, AND ASSETS AT THE END OF YEAR ARE $313K, WHAT IS THE COMPANYS RETURN ON ASSETS?
You need to calculate the average assets in that year, then use the ratio formula:
average assets: (263k+313k)/2 = 288k
ROA = 56k/288k = 0.194...
The company's return on assets is 19.4%
the basketball team sold t shirts and hats as a fundrasier they sold a total of 23 items and made a profit of 246 the made a profit of 10 for every shirt and every hat is 12 when they sold them enter the number of t shirts and enter the amount of hats
s - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h= 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
mark me as brainliest answer
Which of the following is a mathematical statement showing that one ratio is equal to another ratio?
Answer:
Proportion
Step-by-step explanation:
took test
What is the approximate area of the shaded sector in the circle shown below?
Alright, so first we find the area of the whole circle using pi r squared
12^2 pi = 144 pi
Now we use the proportions of the sector and the whole circle:
30:360 (degrees; we will be using the same for the other ratio)
= x:144pi
1:12 = x:144
This basically equals
12x = 144
x = 12, and now we multiply pi, so 12 x 3.14 = 37.7 cm^2.
The first option is correct.
Answer: a. 37.7
Step-by-step explanation: a p e x
Given A= {(2,3),(5,1),(-3,-2),(0,3)} A is a subset of
A. N X R
B. R X N
C. N x N
D. R X R
[tex]A=\{(2,\ 3),\ (5,\ 1),\ (-3,\ -2),\ (0,\ 3)\}\\\\X=\{2,\ 5,\ -3,\ 0\}\\\\Y=\{3,\ 1,\ -2}\\\\-3\ and\ -2\ are\ not\ a\ natural\ numberss.\\\\Therefore\ your\ answer\ is\ D.\ \mathbb{R}\ \times\ \mathbb{R}[/tex]
The set A= {(2,3),(5,1),(-3,-2),(0,3)} is a subset of 'R x R', the cartesian product of Real numbers and Real numbers because both elements of all pairs in the set A are real numbers.
The given set A contains ordered pairs where each pair is constituted of two elements. An ordered pair is always in the form of (a, b) where 'a' is from the first set and 'b' is from the second set in a Cartesian product.
In the given subsets:
A. N X R(Cartesian product of Natural numbers and Real numbers)
B. R X N(Cartesian product of Real numbers and Natural numbers)
C. N X N(Cartesian product of Natural numbers and Natural numbers)
D. R X R(Cartesian product of Real numbers and Real numbers)
Looking at the subset A= {(2,3),(5,1),(-3,-2),(0,3)}, we can observe the first element of each pair in the set, we have 2, 5, -3, and 0. Negative numbers and zero are not natural numbers. Therefore it can't be a subset of 'N x R' or 'N x N'. But they are real numbers. Hence, it could be either 'R x N' or 'R x R'. However, if we look at the second element of each pair, we see that they are 3, 1, -2, and 3. Among these, -2 is a negative number and is not a natural number, but is a real number. Therefore, the set A must be a subset of 'R x R', which is the cartesian product of Real numbers and Real numbers.
Learn more about Cartesian Product here:
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Simplify the following expression.
6k – 1 + 6k
The simplified answer is 12k -1
Hope this helps!!!!!!!!1
Hello!
[tex]6k - 1 + 6k\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First this problem it should be the group like terms.
[tex]6k+6k-1[/tex]
Then you add similar by the elements.
[tex]6k+6k=12k[/tex]
[tex]=12k-1[/tex]
Answer⇒⇒⇒⇒⇒⇒⇒=12k-1
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
two-thirds a number less than four is negative seven.
4 - 2/3x = -7 would be the equation to represent this.
What is the place value of the 5 in 5,675.321
The value of the 5 in 5,675.321 could be either five thousands or 5 ones...
Not sure which one so I put both... hope this helps. Let me know if not and / or you need any more help. :)
The value of 5 is Millions.
To help I will define all the numbers for you to help better understand.
5 is million, 6 is hundred thousands, 7 is ten thousand, 5 is thousand, 3 is tenths, 2 is hundredths, 1 is thousandths.
General admission to the State Fair of Texas is $16.00. For guests to ride the various rides, they must use coupons needed for each ride varies. The representative function for the situation is C(x) = 0.5x + 16, where C(x) represents total cost as a function of the number of coupons, x. What is the domain for visiting and riding rides at the State Fair of Texas?
A. All integers greater than or equal to 0
B. All real numbers greater than or equal to 0
C. All real numbers
D. All integers greater than or equal to 16
D. all integers greater than or equal to 16
According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of the other two sides. The two shortest sides of a triangle measure 3/10 and x + 1/5, and the longest side measures 3/2x
x has to equal 1. 3/10 + 1/5 = 1/2
the equation is now 1/2 + x = 1 1/2x
x = 1
1 1/2 = 1 1/2
Final answer:
The Triangle Inequality Theorem is applied to determine the range of values for x that would make the side lengths given form a valid triangle.
Explanation:
Understanding the Triangle Inequality Theorem
The Triangle Inequality Theorem states that in any triangle, the length of any side must be less than the sum of the other two sides. For the given question, we need to use this principle to analyze the side lengths. With the two shorter sides given as [tex]\( \frac{3}{10} \) and \( x + \frac{1}{5} \)[/tex], and the longest side given as [tex]\( \frac{3}{2}x \)[/tex], we can establish the inequality:
[tex]\( \frac{3}{2}x < \frac{3}{10} + \left( x + \frac{1}{5} \right) \).[/tex]
By solving this inequality, we can find the range of possible values for x that makes the configuration a valid triangle. This problem is an application of basic geometric principles and inequalities.