The question requires the use of algebraic expressions to determine the ages of Steve and Joe. Solving the appropriate equation yields that Steve is 6 years old.
Explanation:
This problem can be solved using basic algebraic expressions. If we assume the current age of Joe to be 'x' years, then Steve, being 5 years older, is 'x + 5' years old. Now, in 4 years, Joe's age will be 'x + 4' and Steve's age will be '(x + 5) + 4' which equals 'x + 9'. According to the question, Steve will be twice as old as Joe in 4 years, so we can express this relation algebraically as '2(x + 4) = x + 9'. Solving this equation yields 'x = 1', which means that Joe is currently 1 year old, and thus, Steve is currently 1 + 5 = 6 years old.
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you buy some living room furniture: couch=$499.99 , loveseat=$239.49 and rocker=139.73. How much is your total purchase ?
Ben has collected one more marble than three times the number of marbles as jerry. together they have 229. how many marbles does ben have?
Final answer:
To find out the number of marbles Ben has, we set up equations based on the information given, solve for Jerry's marbles (J), and then use that to solve for Ben's marbles (B). Ben has 172 marbles.
Explanation:
Let's denote the number of marbles Jerry has as J, and the number Ben has as B. According to the problem, Ben has one more marble than three times the number of marbles Jerry has, so we can write this relationship as B = 3J + 1. Together, Ben and Jerry have a total of 229 marbles, which gives us the equation B + J = 229.
Now, we can substitute the expression for B from the first equation into the second equation to solve for J:
3J + 1 + J = 2294J + 1 = 2294J = 229 - 14J = 228J = 228 / 4J = 57Now that we know Jerry has 57 marbles, we can find out how many marbles Ben has:
B = 3(57) + 1B = 171 + 1B = 172Therefore, Ben has 172 marbles.
A record album is 3/16 of an inch thick. How many albums can be stacked to fit in a box 12 inches high? Please show me how you got you answer explain
In order to find out how many albums will fit in the box, divide the total height of the box by the thickness of one album. This resulted in a total of 64 albums.
Explanation:The problem involves determining the number of record albums that can be stacked into a box with a height of 12 inches. Each album is 3/16 of an inch thick. To find the number of albums, you will need to divide the total height of the box, which is 12 inches, by the thickness of one album.
Here is the calculation: 12 ÷ (3/16) = 12 ÷ 0.1875 = 64.
Therefore, you can fit 64 albums in a 12-inch high box. Remember, this involves simple division and understanding of fractions and their decimal equivalents.
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Please Help! What is the equation of the line shown in this graph?
since the line is vertical ( both x coordinates are -2)
the equation of the line is x=-2
A recipe for two dozen cookies calls for 1 1/3 cups of flour. How much flour would be needed to make five dozen cookies? Please show me how you got your answer explain.
Answer: 10/3 or 3 1 /
Step-by-step explanation:
First ywould turn the 1 1/3 cups into an improper fraction. That makes the math a little easier. 1 1/3 = 4/3. You know that 4/3 cups makes two dozen cookies. So, if you take half of 4/3 which is 2/3 that is how many cups it takes to make one dozen. Then to find how many cups it would take to make 5 dozen just multiply 2/3 by 5 to get 10/3 or 3 1/3
What is the quotient of 15p^-4 q^-6/-20p^-12 q^-3 in simplifed form?
What are the two whole numbers that are closest to the square root of 135?
Sharon buys 14 folders for 0.75 dollars each how much change she will
receive if she pays for $15
check my answers please solve the following equation. 2(h - 8) - h = h - 16 h = 8 h = -8 infinitely many solutions no solution
HELP PLEASE 1/6 x 3/4 = ?
A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write in equation to represent the cost of one square foot of flooring.
The cost of one square foot of flooring (excluding the installation fee) can be calculated by subtracting the installation fee from the total cost and then dividing by the total square feet. The equation for this would be c = ($287 - $80) / 60. Solving this equation yields a cost of $3.45 per square foot.
The total cost for a flooring, including the installation fee, is $287. This cost is for 60 square feet of flooring. Therefore the cost c for one square foot of flooring can be calculated using the equation c = (Total Cost - Installation Fee) / Total Square Feet. To find this, subtract the installation fee from the total cost and then divide the remainder by the total square feet. This gives us the equation c = ($287 - $80) / 60. Solving this equation, we find that c = $3.45. So, the cost per square foot of flooring, excluding the installation fee, is $3.45.
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Can someone help me on this??
-3 3/8 - 7/8 in simplest form
Which table shows s decreasing linear relationship
The decreasing linear relationship is shown in table 1. The correct option is A.
What is a linear relationship?The linear relation is defined as the variation of the variables by a constant factor with the different values of variables x and y.
The given table is,
X Y
4 10
7 17
10 18
13 22
The linear relation will be calculated as:-
y = kx
k = y / x
k = 10 / 4 = 2.5
k = 17 / 7 = 2.42
k = 18 / 10
k = 1.8
k = 22 / 13 = 1.69
The slope will be,
m = ( 17 - 10 ) / ( 7 - 4 ) = 7 / 3
Therefore, table 1 depicts the decreasing linear relationship. A is the correct answer.
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Raymond has a room that is 25 and a halg foot long he wants to cut it into 6 pieces that are equal in length how long will it peace be?
divide 25 1/2 by 6
25 1/2 = 51/2
51/2 / 6 =
51/12 = 4 1/4
each piece is 4 1/4 feet long
list a characteristic of univariate data
Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?
Gym class of 30 boys and 45 girls is divided into groups each group has the same number of students each group has only boys or girls which is the greatest possible group sizes if every student participates
At the zoo there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there
lions = x
monkeys = 3x ( 3 times as many )
3x +x = 24
4x = 24
x = 24/4
x = 6
6 lions
6*3 = 18 monkeys
Find the reciprocal. Show that the product of the mixed number and the reciprocal is 1.
1) 10 1/2
2) 6 3/7
3) 2 8/9
In the number 0.561 which is the hundredths place
What is the least common multiple ( LCM ) of 4 and 9?
Samantha has $200 to spend on school clothes. She can buy two designer blouses that all of her friends have, or she can buy four generic blouses for the same amount. She decides to buy the designer blouses. What is Samantha’s motivation behind buying the designer blouses?
conspicuous consumption
consideration for the future
confusion of needs and wants
desire to get the best deal
Answer: A. conspicuous consumption
Step-by-step explanation:
Share a reward of $140 in a ratio of 2:5
Fifty students are trying to raise at least $12,500 for a class trip. They have already raised $1,250. How much should each student raise, on average, in order to meet the goal? Write and solve the two-step inequality for this problem.
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Tommy packed 8 coolers. Each cooler has 14 bottles of water and 12 bottles of juice.
The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.
Answer:
The cost to book dealer is $65
Step-by-step explanation:
Given : The price of an antique book is $91.
The price is two - fifth more than the cost to book dealer.
To Find : Cost.
Solution :
Let the cost to book dealer be x
The price of an antique book is $91.
Two - fifth of the dealer cost : [tex]\frac{2}{5}x[/tex]
Since we are given that price is two - fifth more than the cost to book dealer.
⇒[tex]x+\frac{2}{5}x=91[/tex]
⇒[tex]\frac{7}{5}x=91[/tex]
⇒[tex]x=\frac{91*5}{7}[/tex]
⇒[tex]x=\frac{455}{7}[/tex]
⇒[tex]x=65[/tex]
Hence , The cost to book dealer is $65
Helppppppppppppppppppppppppppppppppp
what is the value of x
131 + 108 +107 +110 = 456
180*3 = 540
540 -456 = 84
x = 84 degrees
one recipe for pancakes says to use 1 1/2 cups of mix to make 7 pancakes. How much mix is needed to make 35 pancakes