73÷1391 find each quotient and the remainder
Today the ratio of Elinor's age to her mother's age is 3:8. After 15 years, the ratio will become 6:11. What is Elinor's age today?
Elinor's current age is determined by setting up a system of equations based on the given ratios of her age to her mother's age now and in 15 years. After solving these equations, it is found that Elinor is 12 years old today.
Explanation:Let's define Elinor's age as E and her mother's age as M. The problem states that the current ratio of Elinor's age to her mother's age is 3:8, so we can write the equation E/M = 3/8. This means 8E = 3M. After 15 years, the ratio of their ages will become 6:11, so the future ages can be expressed as (E + 15)/(M + 15) = 6/11. To solve the problem, we set up the system of equations:
8E = 3M11(E + 15) = 6(M + 15)First, solve one of the equations for M to find M in terms of E, and then substitute into the second equation to find Elinor's current age:
From 8E = 3M, express M as M = 8E/3Substitute M in the second equation: 11(E + 15) = 6((8E/3) + 15)Expand and solve for EAfter solving the equations, we find that Elinor's current age is determined to be 12 years old.
Elinor's current age can be calculated by setting up a system of equations using the given age ratios (3:8 now, 6:11 in 15 years). By expressing the mother's age in terms of Elinor's age and substituting into the equation for their future ages, we find that Elinor's current age is 15 years old.
Explanation:To find out Elinor's age today, we will first use the given ratios to set up two equations that represent the current ages and the ages in 15 years. Let's denote Elinor's current age as E and her mother's current age as M.
The first ratio given is 3:8, which translates to the equation E/M = 3/8. The second ratio, which will be after 15 years, is 6:11, so the respective equation becomes (E + 15) / (M + 15) = 6/11.
By cross-multiplying the first equation, we get 8E = 3M. We can call this Equation 1. From the second ratio, cross-multiplying gives us 11(E + 15) = 6(M + 15), which simplifies to 11E + 165 = 6M + 90. If we call this Equation 2, we now have a system of two equations to solve for E and M.
Using Equation 1, we can express M in terms of E, which is M = 8E/3. Substituting this into Equation 2, we have 11E + 165 = 6(8E/3) + 90, which simplifies to 11E + 165 = 16E + 90. When we isolate E, we get E = 15. Therefore, Elinor's current age is 15 years old.
i need help! my hw says this:
The expression of 12(x+4) represents the total number of CDs Mei bought in April and May at $12 each. Which property is applied to write the equivalent expression 12x+48?
A. Associative Property of Addition
B. Associative Property of Multiplication
C. Commutative Property of Multiplication
D. Distributive Property
I know it's not D, but please help me figure out which one is correct
what is the value of the following expression 2x (6+[12÷(3+1)])-1
The value of the given expression will be 17.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(6+[12÷(3+1)])-1
2{6+12/4}-1
= 2(6+3)-1
= 2*9-1
= 17
Hence, The value of the given expression will be 17.
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ5
Function 1: y = 4x + 5
Function 2: The line passing through the points (1, 6) and (3, 10).
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
Eliminate
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
PLS HELP FIRST PERSON TO SHOW THERE WORK AND GET THE RIGHT ANSWER WILL BE THE BRAINLIEST
a bowl contains 15 granola bars and 10 fruit bars what is the ratio of granola bars to fruit bars?
Marissa was decorating her room. She arranged 63 picture tiles on a wall in the shape of a rectangle. How many rows of tiles could be on the wall? A:2, B:5 C:6 D:9 which could be the answer?
convert 3.09kg to grams
Mia has n pairs of earrings. She receives 3 more pairs of earrings. Which expression represents the number of earrings Mia has now? A. n−3 B. 3n C. 3n+3 D. n+3
7 more than the product of a number and 4 is 51 what is the number? A.4 B.5 C.13 or D.11
draw a quick picture to show 2.63
Convert 3/20 to a percent.
Answer is provided in the image attached.
an adult elephant drinks about 225 liters of water each day. Is the number of days the water supply lasts proportional to the number of liters of water the elephant drinks? I need to know if it's proportional I already know the actual table (1 day is 225 etc...) I just need to know if it's proportional
Answer:
The number of days the water supply lasts is proportional because there is a constant ratio in the number of liters the elephant drinks.
Step-by-step explanation:
Which answer option shows the correct placement of the parentheses to make this a true number sentence? 8 + 4 ÷ 2 = 6
rename each pair of fractions with common denominators
What is 4569 divided by 27 ?
The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes for producing fruit cans and y = number of minutes for producing vegetable cans. What is the meaning of the y-intercept?
Answer:
Sample Answer: The y-intercept, at the point (0, 6), indicates the choice to produce vegetables for 6 minutes. In 6 minutes, producing 64 cans of vegetables each minute, all 384 cans for the order will be completed. The 0 for the x-value represents that no time is spent producing cans of fruit.
Step-by-step explanation:
At medina middle school 2% of the students ride bikes to school. If 950 students attend Medina middle school how many students ride a bike to school?
Answer:
19
Step-by-step explanation:
it is 19
can somebody please help me with this co.
what divided by what equals -3 in decimal or fraction form. PLZ HELP THIS IS MAJOR.
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks?
The average change in the price of stock over the three weeks is:
It decreased by 30 cents per week.
Step-by-step explanation:It is given that the price of stocks decreased by 60 cents one week.
It decreased by 10 cents in the next week
and 20 in the third week.
Hence, the average rate of change is calculated as the ratio of the sum of the change in the three weeks divided by the number of weeks i.e. 3.
Hence,
[tex]\text{Rate\ of\ change}=\dfrac{-60-10-20}{3}\\\\\\\text{Rate\ of\ change}=\dfrac{-90}{3}=-30[/tex]
As the average rate of change is negative this means that the price of the stocks decreased.
and it decreased by a rate of 30 cents per week.
Answer:
-30 cents per week.
Step-by-step explanation:
3x+1/5y=7 solve for y
Isabella has 35 cups of dog food. She feeds her dogs 5 cups of food each day. For how many days will the dog food last?
how do you shade the model to show the decimal 0.542
what is 3 and 1/5 x 9/10 as a mixed number?
the perimeter of the rectangle is 96 feet find the dimension of the rectangle If the ratio of the length is the width is 7:5 which of the following would be the best equation to use to solve this problem.
A.2x+2x=96
B.7x+5x=96
C.2 (7x)+2 (5x)=98
D.7x/5x=96
Please help.
Round 25446 to 1 significant figure
Fast way to solve: sum of prime numbers between 60 and 70
how many times more people attended shows in 2006 17.1 than in 2009 14.3? Round your answer to the nearest tenth.
Answer:
2.8
Step-by-step explanation:
So you get 2.8 and since its already rounded your answer is 2.8
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The times more people attended shows in 2006 than in 2009 is 2.8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of people who attended in 2006.
= 17.1
The number of people who attended in 2009.
= 14.3
The times more people attended shows in 2006 than in 2009.
= 17.1 - 14.3
= 2.8
Thus,
The times more people attended shows in 2006 than in 2009 is 2.8.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Write 12gh/36g2h3 in simplest form