Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred from team two to team one, both teams became equal. How many people were there in team one?
Daniel has lots of pets. He has four more goldfish than he has turtles. He has one less canary than goldfish. Six of his pets are birds(canaries and parrots). He has two parrots. How many pets does Daniel have. (Show with work)
Daniel has [tex]16[/tex] pets.
Since six of his pets are birds(canaries and parrots and he has two parrots, therefore, he has (6 - 2) = 4 canaries.
Since he has one less canary than goldfish, therefore the number of goldfish is (6 + 1) = 7 goldfish
Since he has four more goldfish than he has turtles, the number of turtles are: = ( 7 - 4) = 3
Therefore, the total number of animals will be:
= Parrot + Canary + Goldfish + Turtle
= [tex]2 + 4 + 7 + 3[/tex]
= [tex]16[/tex]
Therefore, he has [tex]16[/tex] pets.
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Which property justifies this statement?
If 4x=20, then x=5.
A . Subtraction Property of Equality
B . Division Property of Equality
C . Reflexive Property of Equality
D . Substitution Property of Equality
The correct answer is:
B . Division Property of Equality
Explanation:
The original equation is 4x = 20. To solve this, we would cancel the 4. Since the variable, x, has been multiplied by 4, we cancel it by dividing:
4x/4 = 20/4
x = 5
This is the division property of equality; we can divide both sides of an equation by the same number and preserve equality.
144 divided by 8 is 18 what is it in distributive property
Help me on my math homework please
three things at the park that can show the angle of rotation with degrees?
One state leads the country in tart cherry production, producing 74 out of every 100 tart cherries each year.
A. What percent of cheeries are produced in the state.
B. What percent are not produced in the state
Someone help me please
Solve x^3=1/8
A. 1/2
B. ±1/2
C. 1/4
D. ±1/4
(0.6)2, (-0.3) + (-0.06), |-3 + 2.64|, -(-0.36) ,2x - 0.64x which is equivalent to 036
EXPLAIN YOUR ANSWER
5.
A set of equations is given below:
Equation A: c = 2d + 1
Equation B: c = 3d + 5
Which of the following is a step that can be used to find the solution to the set of equations? (5 points)
2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1
Answer:
The correct answer is 1. 2d + 1 = 3d + 5
Step-by-step explanation:
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier would have to rent skis with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily pass?
Bob had 6 1/2 qt of paint. He used 3 2/3 qt to paint a room How much paint does Bob have left?
6 1/2 - 3 2/3 =
13/2 - 11/3 =
39/6 - 22/6 = 17/6 = 2 5/6 qts left
Answer:
2 5/6
Step-by-step explanation:
5x=-5x-10 solve for x
The answer is x=-1.
Add 5x on both sides.
10x=-10
Divide both sides by 10.
x=-1.
Irrational numbers can never be precisely represented in decimal form. Why is this
Jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day, what would be the rule ?
Answer:
2n - 1, where "n" is the number of days.
Step-by-step explanation:
By looking at the bar graph.
We list the following information.
Day The number of followers
1 1
2 3
3 5
4 7
So, the number of followers increase by 2 each day passes.
This is an arithmetic sequence.
The sequence is 1, 3, 5, 7.....
So the rule [tex]a_n = a_1 + (n -1)d[/tex]
This is the n-term of the arithmetic sequence.
Here [tex]a_ 1 = 1 and d = 2[/tex] and n is the number of days.
Plug in these values in the above sequence, we get
The general rule = 1 + (n -1)2
= 1 + 2n-2
= 2n - 1
So the general rule = 2n - 1
Mr. Abernathy bought a selection of wrenches for his shop and paid $78. He bought the same number of $1.50 and $2.50 wrenches, and half of that number of $4 wrenches. The number of $3 wrenches is one more than the number of $4 wrenches. How many of each did he buy?
The number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
Mr. Abernathy bought a selection of wrenches for his shop and paid $78.
Let's suppose:
The number of $1.50 wrenches is x
The number of $2.50 wrenches is also x
The number of $4 wrenches is x/2
The number of $3 wrenches is 1+x/2
Then linear equation becomes:
[tex]\rm 1.50x+2.50x+\frac{4x}{2} +3(1+\frac{x}{2} ) = 78[/tex]
[tex]\rm 3x+5x+4x +3(2+x ) = 156[/tex]
15x = 150
x = 10
The value of x = 10
=x/2 ⇒ 10/ 2 ⇒ 5
= 1+x/2 ⇒ 1+5 ⇒ 6
Thus, the number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
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is 57 a composite number .true or false
4 times [(5 times 3) + (24 divided by 4)]
Answer:
Step-by-step explanation:
4 times (5 times 3) + (24 divided by 4)
4 times 15 + 6 (because 5 times three is 15, and 24 divided by 4 is 6)
60 + 6 (Multiplication first after parenthesis)
66 (The answer to 60 + 6)
Patrick drove 220 miles to his grandmothers house. The trip took him 4 2/5 hours. What is his average speed in miles per hour.
Given ABC PQR, m < B = 3v +4, and m<Q = 8v -6, find m<B and m<Q
A.22
B.11
C.10
D.25
Answer
a.22
b.11
c.10
d.25
The answer is C. 10
A 50-inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
To solve this problem, establish an algebraic equation that equates the sum of the lengths of the three pieces to the total length of the board. Solving this equation reveals that the first piece of wood is 5 inches, the second piece 20 inches and the third piece 25 inches.
Explanation:This question represents a simple algebraic equation. Since the second piece is 4 times the length of the first piece and the third piece is 5 times the length of the first piece, the sum of these lengths should equal the total length of the board, which is 50 inches. Given that 'x' represents the length of the first piece, we can establish the following equation:
x + 4x + 5x = 50
This is because '4x' is the length of the second piece and '5x' is the length of the third piece. When you combine like terms, the equation simplifies to:
10x = 50
Upon solving this simplified equation, we find that 'x' or the length of the first piece of wood equals 5 inches. Therefore, based on the information provided, the length of the second piece would be 20 inches (4 times 'x') and the third piece would be 25 inches (5 times 'x').
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You and your friend collect football cards. You tell your friend that you have 3 times the number of cards he has. Your friend replies that you only have 80 more football cards then he does. How many cards do you each have?
List the factors in decimals in order from least to greatest 0.5 3/16 0.75. 5/48
The perimeter of a rectangle is 54cm. One side is x cm long and the other is 6cm longer. Tre length is x+6 and the side is x so how to form this equation involving x and the answer of the length of each side.
write two odd numbers and even numbers explain how you know which numbers are even and which are odd
Final answer:
An even number is divisible by 2, while an odd number is not. Examples of even numbers are 8 and 10, while examples of odd numbers are 17 and 21.
Explanation:
An even number is a number that is divisible by 2, while an odd number is not divisible by 2.
For example, 2, 4, and 6 are even numbers because they can be divided by 2 without leaving a remainder. On the other hand, 3, 5, and 7 are odd numbers because they cannot be divided by 2 without leaving a remainder.
So, two examples of even numbers could be 8 and 10, while two examples of odd numbers could be 17 and 21.
Lisa is 12 centimeters taller than her friend Ian. Ian is 16 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 8 months, the sum of Ian's and Jim's heights will be 170 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian'a height today in centimeters.
(h+16)+(___)+16=(___)+170
Ian is _ centimeters tall now.
The mass of the Rock of Gibraltar is 1.78 x 10^12 kilograms. The mass of the antarctic iceberg is 4.55 x 10^13 kilograms. Approximately how many more kilograms is the mass of the antarctic iceberg than the mass of the rock of gibraltar? SHOW YOUR STEPS AND WRITE YOUR ANSWER IN SCIENTIFIC NOTATION!! thanks
Answer:
(4.55×10^13- 1.78×10^12)kg
=4.372×10^13kg
the iceberg is 4.372×10^13kg heavier than the rock.
or the iceberg is approximately 2.4 times heavier than the rock
Step-by-step explanation:
Twice the difference of 3x and y increased by 5 times the sum of x and 2y
factorise completely:
12a+8b
The factorization of given expression is 4(3a+2b).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is 12a+8b.
In the given expression there are two terms 12a and 8b
Now, 12a=2×2×3×a and 8b=2×2×2×b
So, from both the terms common is 2×2=4
Thus, 4(3a+2b)
Therefore, the factorization of given expression is 4(3a+2b).
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How do you compare and order real numbers