steve is 5 years older than his brother joe. in 4 years steve will be twice as old as joe will be then. how old is steve now?
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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I need help I don't understand how to do this
Together, two wildlife refuge tour guides lead nine 45-minute tours each day. The wildlife refuge needs to calculate the person-hours for the tours to allocate enough money in their budget to pay the tour guides. What is the number of person-hours per day for the tours? Bubble A. 27 Bubble B. 540 Bubble C. 13.5 Bubble D. 270
A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
The length of the room is 10 m and width is 6m.
We have given that the area is 60 square meters
and perimeter of the square is 32 meters
What is the formula for the area of the square?[tex]Area =L \times W[/tex]
we have given that the area is 60
Therefore,[tex]L \times W = 60.......(1)[/tex]
What is the formula for the perimeter?[tex]Perimeter=2(L + W)[/tex]
From given we get,
[tex]2(L + W) = 32[/tex]
[tex]L + W = 16[/tex]
[tex]L = 16 - W.......(2)[/tex]
Substitute the value of L = 16 - W into (1) we get,
[tex]L \times W = 60[/tex]
[tex](16 - W) \times W = 60[/tex]
[tex]16W -W^2 = 60[/tex]
[tex]W^2 - 16W + 60 = 0[/tex]
[tex](W - 6)(W - 10) = 0[/tex]
[tex]W - 10 = 0\implies W = 10\\W - 6 = 0\implies W = 6[/tex]
Therefore the length is 10 m and width is 6m.
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if the simple interest on $4,000 for 10 years is $3,200,then what is the interest rate
which is greater 0.7 or 3/4
The value of fraction 0.7 is greater than the value of 3/4.
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 terms are 0.7 and 3/4. The values in the chemical points are,
First = 3/4 = 0.42
Second = 0.7
Here 0.7 is greater than the value 3/4 = 0.42
Hence, the greater value between the two values 3/4 and 0.7 is 0.7.
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Your local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day the items will be split into identical sets with no items left over each child will receive one set of items what is the greatest number of children that will receive a set of items on opening day please show all work due today
To find the greatest number of children that will receive a set of items on opening day, we can find the greatest common divisor of the quantities of ball caps, keychains, and bracelets.
Explanation:To find the greatest number of children that will receive a set of items, we need to determine the number of identical sets that can be made from the available items. We can do this by finding the greatest common divisor (GCD) of the quantities of ball caps, keychains, and bracelets.
The GCD of 120, 180, and 240 is 60. This means that 60 sets of items can be made, with each set consisting of 2 ball caps, 3 miniature baseball keychains, and 4 glow-in-the-dark bracelets.
Therefore, the greatest number of children that will receive a set of items on opening day is 60.
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help on homework due tomorrow
I still need help on this question
the sum of two numbers is 15 and their difference is 7, What are the two numbers
The tax on a property with an assessed value of $120,000 is $300. Find the tax on a property with an assessed value of $140,000
Does this relation represent a function
-2(4-3x)-6x=10 solve for x
I really need help on this one
17.) Rachel is planning a wedding for 100 to 250 people, depending on costs. She has hired a caterer that charges $20 per person, plus a flat fee of $200.
a.) Write an inequality in terms of p people that describes how many people Rachel plans to invite.
b.) Adjust that inequality to show how much the caterer will charge in terms of p.
c.) What is the range of catering fees that Rachel is considering?
Answer:
A ? B ? C ?
Step-by-step explanation:
math questions down below
an apple has a mass of 297 how many killo grams is it
Choose all the answers that apply. Todd drops three balls made of different materials to see how high they will bounce. He drops each ball from a height of ten feet. All the balls are the same size. The independent variable is how high the balls bounce. The dependent variable is the height the balls bounce. The independent variable is the type of material the balls are made from. The height the balls are dropped from is a control. The size of the balls is a control.
The independent variable is the type of material the balls are made from
Find the value of the ratio for 63:135
Is y=6x-6 direct proportion
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles a
D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
= 38x112
= 4256
= 4400 - 4256
= 144
Thus, Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.
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Write 17/4 mixed number HELP PLEASE!!!!!
On morgans 3rd birthday, she weighed 45 pounds. On her 12th birthday, she weighed 105 pounds.Find the rate of change in her weight.
It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school. What is his average speed?
Answer:
The average speed is 16 km/hr.
Step-by-step explanation:
Given : It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school.
To find : What is his average speed?
Solution :
Distance covered from home to school is 4 km.
Time taken by bike to cover the distance is 15 minutes.
Converting minutes into hour,
1 hour = 60 minutes
1 minute = [tex]\frac{1}{60}[/tex] hours
15 minute = [tex]\frac{15}{60}[/tex] hours
15 minute = 0.25 hours
The speed formula is given by,
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\frac{4}{0.25}[/tex]
[tex]\text{Speed}=16[/tex]
Therefore, The average speed is 16 km/hr.
what happens to a rational number in fractional form converts to a decimal
The band sold 385 cases of fruit. There are 24 bags of fruit in each case. Which is the best estimate of the number of bags of fruit sold?
A. 900 bags of fruit
B. 1,000 bags of fruit
C. 6,000 bags of fruit
D. 10,000 bags of fruit
Answer:
it is 10,000
Step-by-step explanation:
PLEASE HELP! there are multiple answers. Juan has a budge of $20.00 for lunch each week. Choose one of the meals from the part b for juan's lunch on monday ( I chose hamburger which is $2.50). How much does he have left for the rest of the week? How many could he spend each remaining day, if he spends the same amount each day?
Which one of the following letters is used as an abbreviation for electric current?
Is 16% of 40 the same as 40% of 60? Explain your reasoning.
The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles
To find the weight of 5 billion dust particles, multiply the weight of one particle (determined by the mass of the particle times gravity) by 5 billion. The resulting weight of these dust particles is approximately 36.9 Newtons.
Explanation:The weight of a particle can be determined using the formula weight = mass x gravity. Given that the mass of a dust particle is 7.53x10^-10 kilograms and assuming normal earth gravity which is approximately 9.8 meters per second squared, the weight of one dust particle is about 7.38x10^-9 Newtons. If we want to find the weight of 5 billion such particles, we'd multiply this single particle weight by 5 billion (5x10^9), resulting in a total weight of about 36.9 Newtons.
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Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah ? Draw a model and write an equation to solve. Also just tell me the strategys to draw the model thank you!