The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
Please help!!!! I don’t get this
What is another way to express 42 + 24
Final answer:
To express 42 + 24 differently, one might use the commutative property (24 + 42), break the numbers into tens and ones (40 + 20 + 2 + 4), or use rounding to aid mental addition (60 + 6). Each method simplifies the problem while reaching the same correct answer.
Explanation:
Another way to express 42 + 24 could be by rearranging the numbers to use commutative property of addition or by changing one or both of the numbers into a sum that makes mental addition easier. For example:
24 + 42 - Which uses the commutative property of addition, meaning that numbers can be added in any order and the result will be the same.
40 + 20 + 2 + 4 - Here we break down both numbers into tens and ones and add them separately.
60 + 6 - By rounding 42 up to the nearest ten (40) and adding 20, you get 60 plus the remaining 2 and 4 to add up to 6.
Each method provides a different way of reorganizing the original problem to potentially simplify the adding process or to suit mental math strategies. Remember, arithmetic has specific rules, but there's flexibility in how we apply them to reach the same correct answer. This shows the beauty and versatility of mathematics.
Final answer:
To express 42 + 24 differently, one can use the commutative property (24 + 42), factor out common numbers (2(21 + 12), or round and adjust (60 + 6), showcasing the variety of methods mathematics provides to reach the same answer.
Explanation:
The question asks for an alternative way to express the sum 42 + 24. One strategy is to use properties of numbers and operations to simplify and find patterns that make it easier to perform calculations in our head. For instance, using commutative property of addition, we can restate 42 + 24 as 24 + 42. Moreover, we can utilize the distributive property by factoring out a common number to make the addition easier, such as expressing it as 2(21 + 12) since both 42 and 24 are divisible by 2, or 6(7 + 4) if you notice that both numbers are divisible by 6. It's also possible to round numbers up, perform the addition, and then adjust back, for example: (40 + 20) + (2 + 4) which simplifies to 60 + 6. Each of these methods provides a different path to the same correct answer, exemplifying that mathematics offers numerous ways to solve a problem, which ultimately reinforces our understanding.
Estimate how many times larger 7 x 10^10 is than 13 x 10^8.
A) 50 times larger
B) 100 times larger
C) 200 times larger
D) 400 times larger
Answer:- A) is the right answer.[tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
Explanation:-
To estimate the number of times [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex]
Let [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex] by n times.
then [tex]7\times10^{10}[/tex] [tex]=n\times13\times10^{8}[/tex]
[tex]\Rightarrow\ n=\frac{7\times10^{10}}{13\times10^{8}}\\\\\Rightarrow\ n=\frac{7\times10^{10-8}}{13}.......[by\ law\ of\ exponents\ \frac{a^m}{a^n}=a^{m-n}]\\\\\Rightarrow\ n=\frac{7\times10^2}{13}\\\\\Rightarrow\ n=\frac{7\times100}{13}\\\\\Rightarrow\ n=\frac{700}{13}=53.84\approx50[/tex]
[as 53.84 is near to 50 by rounding off it to the nearest ten it becomes 50]
Thus [tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
During a promotional weekend, a state fair gives a free admission to every 175th person who enter the fair.On Saturday, there were 6742 people attending the fair .how many people received a free admission over the two days
A certain species of animal is endangered and it’s numbers are decreasing 12% annually. There are currently 230 animals in the population. Which is an exponential function representing the population and the estimated number of animals in 5 years?
A: f(x)=230(0.88);1012 animals
B:f(x)=230(0.88);121 animals
C:f(x)=230(1.12);1288 animals
D:f(x)=230(1.12);405 animals
Pls help I’m getting really frustrated with this question
an x intercept is where the blue line meets both the x and y coordinates given
in this graph the only one of the 4 answers that the blue line meets is (-1,0)
Marc earns $4,927 every two months. How much does he earn per year?
which number is a solution of the inequality?
y>1.9
A.-9
B.-2
C.2
D.1.9
Answer: The answer is C
A company sells songs online for $1.29 per song. If they sold 2000 songs in one day, how much money did they make that day?
Answer:
its D
Step-by-step explanation:
USA TP
Ruth borrowed $2000, part from each of two different sources, for a 6-month period. One charged 6% interest and the other 8% interest. When she paid them off, she paid a combined total of $68 in interest. How much did she borrow at each rate? Show how you got it
An arc that subtends a full angle of 360 degrees is called a(n) ______.
Number 35 Plz someone help me in this problem ❤️
Which undefined geometric term is described as an infinite set of points that has length but not width?
a. distance
b. line
c. plane
d. postulate
PLEASE HELP: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK *
What is the length of side BC of the triangle?
the area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6 pie. what is he measure of the angle subtended by the arc?
Math?
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What is the reason for Statement 2 of the two-column proof?
A. Linear Pair Postulate
B. Angle Addition Postulate
C. Definition of bisect
D. Definition of angle
The reason for statement 2 of the two-column proof is : Definition of bisect ( optionC).
Since angle RPS is bisected, the two angles in which are formed will be equal. Bisecting an angles means dividing the angle into two equal part.
line PQ bisects RPS into two;
angle QPS = 61°
this means that RPQ is also 61°. Thus it is an acute angle. This is because 61° is an acute angle.
An acute angle is an angle that is less than 90°
Therefore, The reason for statement 2 of the two-column proof is : Definition of bisect
solve the equation -5y-9=-(y-1)
A: -1/2
B: -2, 1/2
C: -2
D: -2/5
Two angles form a linear pair. the measure of one angle is eight times the measure of the other angle. find the measure of the larger angle.
If angle p is right angle and angle p and angle q are supplementary then what is angle q
What plane contains points E, F, and H?
A) The plane on the top of the figure.
B) The plane on the bottom of the figure.
C) The plane on the front of the figure.
D) The plane that passes at a slant through the figure.
Answer:
The answer to your question is B
The plane on the bottom of the figure
Trust me on this its the right answer I had the same question and got it correct!
Antia has 300 in her savings account that earns 5% annually.the interest is not compounded.how much interest will she earn in 1 year
Given the piecewise function shown below, select all the statements that are true.
A.f(-2)=0
B.f(-1)=2
C.f(4)=7
D.f(1)=0
Number theory find two consecutive odd positive integers whose product is 323.
Compare the functions below: f(x) = −3 sin(x − π) + 2 g(x) x y 0 8 1 3 2 0 3 −1 4 0 5 3 6 8 h(x) = (x + 7)2 − 1 Which function has the smallest minimum?
Answer: 8
Step-by-step explanation:
Please help. I'm horrible at equations
Solve for x. 2x/3+1=3
x = 1 1/3
x = 2 2/3
x = 3
x = 6
Convert each number to scientific notation or standard notation.
1. 2,000
2. 91,007,500
3. 1.0395 x 1000000000
4. 4 x 100
5. 0.02
6. 0.000701
7. 8.9 x 100000
8. 4.41 x 100
Scientific and standard notation conversion for a variety of numbers.
Explanation:1. The number 2,000 can be written in scientific notation as 2 × 103. In standard notation, it remains as 2,000.
2. The number 91,007,500 can be written in scientific notation as 9.10075 × 107. In standard notation, it remains as 91,007,500.
3. The number 1.0395 × 109 is already in scientific notation. In standard notation, it would be 1,039,500,000.
4. The numbers 4, 100, and 5 are already in standard notation. In scientific notation, 4 can be written as 4 × 100, 100 can be written as 1 × 102, and 5 can be written as 5 × 100.
0.026 can be written in scientific notation as 2.6 × 10-2. In standard notation, it remains as 0.026.
0.0007017 can be written in scientific notation as 7.017 × 10-4. In standard notation, it remains as 0.0007017.
8.9 × 106 is already in scientific notation. In standard notation, it would be 8,900,000.
4.41 × 102 is already in scientific notation. In standard notation, it would be 441.
Learn more about Scientific and Standard Notation here:https://brainly.com/question/28438534
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If a cookie recipie cals for 4, 1/4 cups if flour and you cut the ricipie in half ,how much flour would you nuse
divide 4 1 /4 cups by 2
4/2 = 2
1/4 / 2 = 1/8
so 2 1/8 cups are needed
Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $1000. what is your expected value?
The expected value of buying a $1 ticket out of a lottery of 1000 tickets where the prize for the one winning ticket is $1000 is approximately -$0.999. This means that, on average, you can expect to lose about $0.999 for each ticket you buy.
Explanation:To calculate the expected value, we need to multiply each possible outcome by its probability and then sum them up. In this case, the possible outcomes are winning $1000 with probability 1/1000 and losing $1 with probability 999/1000. So, the expected value is: ($1000 × 1/1000) + (-$1 × 999/1000) = -$0.999
Therefore, the expected value is approximately -$0.999. This means that, on average, you can expect to lose about $0.999 for each ticket you buy.