2. Which conjecture is true?
A. An even number plus 3 is always even.
B. An even number plus 3 is always prime.
C. An even number plus 3 is always odd.
D. A prime number plus 3 is always even
C. An even number plus 3 is always odd.
Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc
Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc
Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc
If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.
So, the conjecture is :
An even number plus 3 is always odd.
Therefore the correct option is (c).
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In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines?
Answer:
its been 3 years but the answer is b
Step-by-step explanation:
In 2001, the population of the United States was about 2/7 billion people. It is projected that by 2025, there will be 1/3 billion people in the United States. How much will the population increase by 2025?
Pleeeeeeaaaaase show steps
Subtract the starting population from the increased population:
1/3 -2/7
Rewrite the fractions to have a common denominator:
7/21 - 6/21 = 1/21 billion increase.
There are 25 students in the class. ten students have sports practice after school. What is the ratio of students that do have practice, to those that do not?
Help ASAP plz
math question down below
What is the slope of the graph for the equation y = -5x + 8? A. 0 B. -5 C. 8
Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers
Final answer:
The problem is solved by creating an equation based on the given properties and solving for x, which represents the smaller even integer. After solving, we find that the two consecutive even integers in question are 8 and 10.
Explanation:
Let the smaller even integer be denoted as x. Consequently, the larger consecutive even integer will be x + 2, since even integers are two units apart.
The problem states that when we add the smaller integer to three times the larger integer (x + 3(x + 2)), the result is two less than five times the smaller integer (5x - 2). This gives us an equation to solve:
x + 3(x + 2) = 5x - 2
Expanding the left side of the equation:
x + 3x + 6 = 5x - 2
Combining like terms:
4x + 6 = 5x - 2
Now, subtract 4x from both sides:
6 = x - 2
Finally, add 2 to both sides to find the value of x:
x = 8
Therefore, the smaller integer is 8, and the larger consecutive even integer is 10.
So, the two consecutive even integers are 8 and 10.
Final answer:
To find the two consecutive even integers, assign variables x and x + 2. Set up and solve the equation x + 3(x + 2) = 5x - 2 to find x = 8. The consecutive even integers are 8 and 10.
Explanation:
To find the two consecutive even integers, let's assign variables to represent the integers. Let the smaller integer be x and the larger integer be x + 2 (since they are consecutive even integers). The problem states that when the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.
So, we can set up the equation: x + 3(x + 2) = 5x - 2. Simplify and solve for x:
x + 3x + 6 = 5x - 24x + 6 = 5x - 24x - 5x = -2 - 6-x = -8x = 8Therefore, the smaller integer is 8 and the larger integer is 8 + 2 = 10. The two consecutive even integers are 8 and 10.
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Jack and Jessica and the same amount last week.Jack earned $18 per hour and had $41 taken away from his check for Taxes. Jessica earned $15 an hour and had to $17 deducted from her pay. how many hours did they each work in order to get paid the same amount
Nathan helps out in the family pet shop on Saturdays. He must separate a shipment of 112 fish into nine bowls. Does Nathan have enough bowls if each bowl can fit no more than 12 fish? Explain why.
Which number is a perfect cube A 3 B 15 C 64 D567
terrell runs 15 sprints. each is 65 meters. how many does terrell run
ANSWER A B C AND D DOWN BELOW
f y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answer:
D
Step-by-step explanation:
One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cattle and 15 beef cattle in the barn. How many more dairy cattle are on the farm than beef cattle?
Hamburger costs $1.50 per pound and soy costs $1.00 per pound. The school cafeteria uses 50 more pounds of soy than hamburger and spends $350 a week. How much soy does the school use?
Estimate each product 33.6 x 82.1
where would 2015 be on a mod 7 clock
What’s 8,450 divided by 125
find the discriminant and determine the number of real solutions : 4x^2 + 7x - 15 = 0
what is the answer to
3(4x+6)+7x
The simplified value of the given expression 3(4x+6)+7x, is 19x+18
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.
For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.
Given that, is an expression 3(4x+6)+7x, we need to simplify it,
3(4x+6)+7x
By the Distributive property, multiplying by 3,
3(4x+6)+7x
= 12x+18+7x
Rearranging the terms,
= 12x+7x+18
Adding the like terms,
= 19x+18
Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18
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how many time more respondents chose silver than red round to the nearest tenth if necessary red is .2 and .09 is silver
Graph y=− 4/7 x+1 .
9-3÷1/3+1. what's the answer
of all the whole numbers that divide evenly into two or more numbers the one with the highest value is called the _____________.
Jenny's frog made one jump of 2.34 meters. Christina's frog made jumps of 1.22 meters and 0.89 meters. How much further did Jenny's frog jump in one jump than Christina's frog in two jumps combined? 0.23 m 0.33 m 1.12 m 1.45 m
took the k12 test it 0.23
Convert 4500 feet per second to miles per hour.
5280 ft = 1 mi
Round to the nearest hundredth.
Enter your answer in the box.
Christopher recorded the low temperature each day for 1 week and recorded his results in this table. Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Low −5 °F −8 °F −6 °F −8 °F −3 °F 2° F 7° F What is the average low temperature for the week? Enter your answer in the box.
The odometer on your family car reads 20,186.7 after going
62.3 miles. How many miles were on the odometer before
going 62.3 miles?
what is 0.4% of $100
0.4% = 0.004
100 * 0.004 = 0.4
Hans rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 85 cents for each mile driven. Hans had to pay $205.29 when he returned the truck. For how many miles did he drive the truck?