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.
A cream company advertised that 3 out of every 24 boxes of cereal had a prize inside. What is the ratio of boxes with prizes to boxes with no prizes?
A) 1:7
B) 1:8
C) 7:1
D) 8:1
Explain the proof
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Please help I will mark as the brainleist answer!!!! Thanks for 14 points
The ratio of cereal boxes with prizes to without prizes in this scenario is 1:7, which is option A. This is calculated by dividing the number of boxes with and without prizes by the smallest number (3), resulting in the simplified ratio.
Explanation:The subject of this question is about understanding mathematical ratios, specifically in the context of a cereal box prize scenario. Here, we are asked to find the ratio of boxes with prizes to boxes without prizes. If 3 out of 24 boxes contain a prize, that means 21 boxes are without a prize.
To find the ratio of boxes with prizes to boxes without prizes, we divide both numbers by the smallest one, which is 3, the number of boxes with prizes. Hence, the ratio is 3:21, which simplifies to 1:7 (since both numbers are divisible by 3). Therefore, the answer to this question is Option A, 1:7.
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Solve -8/5 x - 6 = -54
What weighs more
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the average weight for a guinea pig is 2 pounds the average weight for a pot belly pig is 45 times greater then the guinea pig about how much does an average pot belly pig weight show show how you estimated
Maria bought 1/4 pound of ham and 5/8 pound of turkey. How much more turkey than ham did she buy?
Maria bought 1/4 pound more turkey than ham by calculating the difference between 5/8 pound of turkey and 1/4 pound of ham.
Explanation:To determine how much more turkey than ham Maria bought, we need to compare the weights of the turkey and the ham. Maria bought 1/4 pound of ham and 5/8 pound of turkey. To find the difference, we subtract the smaller quantity (ham) from the larger quantity (turkey).
First, we need both quantities in the same unit. They are both already in pounds, so we can subtract directly:
5/8 pound (turkey) - 1/4 pound (ham) = 2/8 pound (or 1/4 pound)
Maria bought 1/4 pound more turkey than ham.
How to find lowest common multiple of numbers?!?
To find the LCM of numbers, identify the prime factors, and multiply the highest power of each prime factor together.
Explanation:To find the lowest common multiple (LCM) of numbers, you need to identify the prime factors of each number and then multiply the highest power of each prime factor together. Here's an example:
Let's find the LCM of 6 and 9:
Prime factors of 6: 2 x 3 x 3Prime factors of 9: 3 x 3Highest power of 2: 2Highest power of 3: 3LCM of 6 and 9: 2 x 3 x 3 = 18So, the LCM of 6 and 9 is 18.
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How many times can 20 go into 55
use breaking apart to find the product for 9 times 36
A speed skater covered 1500 meters in 106.43 seconds. Find his unit rate of speed in meters per second.
Step-by-step explanation:
icy-izzk-ifg come fast
whats 287,002 in expanded form
expression is equivalent to −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) ?
The expression −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) combines all the like terms for a result of −24.4. You simply add and subtract the negative numbers in pairs and then combine the results.
Explanation:The mathematical expression in question is −4.6+(−0.4)+(−7.2) −4.6+(−0.4)+(−7.2). This appears to be a straightforward question of addition and subtraction involving negative numbers.
To find the equivalent expression, we can group the like terms and add or subtract them accordingly.
Let's first simplify the expression
−4.6 + (−4.6) = −9.2,−0.4 + (−0.4) = −0.8,(−7.2) + (−7.2) = −14.4.Now, summing up these results gives us:
−9.2 + (−0.8) + (−14.4) = −9.2 −0.8 −14.4 = −24.4.
The equivalent expression for −4.6+(−0.4)+(−7.2)−4.6+(−0.4)+(−7.2) is simply −24.4.
write a decimal as a fraction or mixed number in simplest form 6.35
2.45 + = 3
What do I add to get to three. Is it 15 ???
Candice has six pairs of jeans she places each pair on its own hanger how many hangers does Candace use
Candice uses a total of 6 hangers for her six pairs of jeans, with one hanger used for each pair of jeans.
Explanation:The question is asking to calculate the number of hangers Candice would use if she places each pair of her six pairs of jeans on its own hanger. Since Candice is placing each pair of jeans on a separate hanger, we can easily determine the answer by understanding the one-to-one relationship between pairs of jeans and hangers.
For each pair of jeans, Candice uses one hanger. Therefore, the calculation is straightforward as we simply multiply the number of pairs of jeans by the number of hangers used per pair of jeans, which is one.
Number of jeans pairs: 6Number of hangers used per pair: 1Total number of hangers used: 6 pairs × 1 hanger per pair = 6 hangersIn conclusion, Candice uses 6 hangers to hang her six pairs of jeans.
A cart travels 3.6 meters in 1.8 seconds. What is the average speed of the cart?
Feathers is ready to show off a coin trick. What is the probability of flipping heads on a coin and then flipping the coin again and getting heads?
The probability of flipping heads on a coin and then flipping the coin again and getting heads is 0.25 or 25%.
Explanation:To find the probability of flipping heads on a coin and then flipping the coin again and getting heads, we need to multiply the probabilities of each event. The probability of flipping heads on a fair coin is 0.5. Since each flip of the coin is independent, we can multiply the probabilities together: 0.5 * 0.5 = 0.25. Therefore, the probability of flipping heads on a coin and then flipping the coin again and getting heads is 0.25 or 25%.
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what percent of 29 is 3?
Jennie's car gets 32.4 miles per gallon on the highway. If her car's fuel tank holds 12.7 gallons, how far can she drive on one tank of gas?
a 352.95 miles
b 396.21 miles
c 411.48 miles
d 446.37 miles
For this question, you simply multiply 32.4 by 12.7 to get the number of miles that Jennie can drive. The answer is 411.48, choice c.
Hope this helps!
Answer:
Step-by-step explanation:
the answer is C
jonah's house and his grandparent's house are 8,046.72 meters apart. what is this distance in miles?
Adding and Subtracting Fractions. Solve each problem.Write your answer as a mixed number if possible.
1.4 2/7 - 2 1/5
2.5 7/8 + 11/4
3.5/8 - 2/5
4.16/5 + 2 1/2
The answers are 2 3/35, 8 5/8, 9/40, and 5 7/10 respectively.
Here are step-by-step solutions to your problems:
4 2/7 - 2 1/5:
convert to improper fractions (30/7 - 11/5),
find a common denominator (150/35 - 77/35),
subtract to get 73/35, which simplifies to 2 3/35.
5 7/8 + 11/4:
convert to improper fractions (47/8 + 11/4),
find a common denominator (47/8 + 22/8),
add to get 69/8, which simplifies to 8 5/8.
5/8 - 2/5:
find a common denominator (25/40 - 16/40),
subtract to get 9/40.
16/5 + 2 1/2:
convert to improper fractions (16/5 + 5/2),
find a common denominator (32/10 + 25/10),
add to get 57/10, which simplifies to 5 7/10.
what is 17/20 as a percentage?
Explain how a number line can be used to find the difference for 34 - 28
The difference is 6.
Used by counting, the number line helps count steps forward/backwards. we can count from the number.
As start from point 34 and then go backwards 20 steps and then 8 steps on the number line.
Now, we are at point 6 on the number line.
So the difference would be:
34-28=6
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An airplane descends 2.5 miles to an elevation of 6.25 miles. Find the elevation of the plane before its descent.
candace help out at the library after school. The head librarian tells her that there are 2,160 books in the children's section of the library. Candace also notice that there are 3 groups of 3 bookcases in the children's section and each bookcase has 6 shelves. How many books are on each shelf if each shelf has the same number of books on it.
the fifth graders were given sandwiches for lunch during their field trip nathan ate 5/6 of his sandwich, leroy ate 7/8 of his sandwich, and sofia ate 5/8 of her sandwich. who ate the greatest amount of their sandwich
Manny makes dinner using 1bix of pasta and 1 jar of souce.if pasta is sold in packages of 6 boxes and spice is sold in packages of 3 jars,what is least number of dinners that many can make without any supplies leftover.
When multiplying decimals, how do you determine where to place the decimal in the answer?
When multiplying decimals, the decimal in the answer is placed based on the total count of digits following decimals in the original numbers. For example, multiplying 0.4 by 0.20 gives 0.08, not just 8.
Explanation:When you're multiplying decimals, the placement of the decimal in the answer is determined by the total number of digits behind the decimals in the problems you're multiplying. For example, if you're multiplying 0.4 (one digit after the decimal) by 0.20 (two digits after the decimal), your answer should have three digits after it. So, let's multiply: 4 times 2 equals 8, but this should be written as 0.08, not just 8, due to the rule. That's how you manage the decimal placement when multiplying decimals.
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3 different expressions using 2,3,6,8 to equal 28
We are required to find 3 different expressions using 2,3,6,8 to equal 28
The 3 different expressions using 2,3,6,8 to equal 28 are (6 × 3) + 8 + 2, (8 × 2) + (6 × 2) and (8 × 3) + (6 - 2)
Given numbers:
2,3,6,8
Expression 1:
(6 × 3) + 8 + 2
= 18 + 8 + 2
= 28
Expression 2:
(8 × 2) + (6 × 2)
= 16 + 12
= 28
Expression 3:
(8 × 3) + (6 - 2)
= 24 + 4
= 28
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if you have a 2 digit divisor and a three digit dividend does the quotient always have the same number of digits
Which ordered pair is the solution to the system of equations? {2x−y=−5x+3y=22{2x−y=−5x+3y=22 (7, 19)(7, 19) (8, 21)(8, 21) (4, 9)(4, 9) (1, 7)