Answer:
Yes, she is correct.
Step-by-step explanation:
A real number that can be expressed as [tex]\frac{p}{q}[/tex],
Where,
p and q are integers,
Such that, q ≠ 0,
is called a rational number.
A terminating decimal is always a rational number,
Thus, 2.11 is a rational number,
Verification :
2.11 = [tex]\frac{211}{100}[/tex]
Where,
Both 211 and 100 are integers,
Such that 100 ≠ 0.
The value 2.11 is a rational number and not a repeating decimal.
Given the number 2.11 ;
Rational numbers Can be expressed in the form p/q ; where q ≠ 0. However, irrational numbers cannot be be expressed in the form p/q. 2.11 is written into two decimal places ; therefore it can be expressed thus ;(2.11 × 100) ÷ 100 [tex] \frac{211}{100} [/tex][tex]since \: 2.11 = \frac{211}{100} [/tex]
Then, we can conclude that 2.11 is a rational number
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What x Value makes this equation true ?
X-3 = 3x + 7
Todd wants to know how many numbers between 1 and 50 have only 2 and 5 as prime factors. list all the numbers that have only 2 and 5 as prime factors.Explain how you found your answer.
Can anybody help me pleasee I don't understandd
There are 3 times as many boys than girls. If there are 24 more boys than girls, how many students are there in total?
How do you graph lines using intercepts
Ex. 3y= 1/2x-2 (How would you graph that?)
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4408 dollars. How much did she invest at each rate?
Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent to achieve her annual interest of $4408 by setting up and solving a system of equations based on her investment strategy.
Jolene invests her savings in two different bank accounts, one with a 4 percent interest rate and another with an 11 percent interest rate. She invests twice as much in the lower-yielding account. To determine how much she invested at each rate given her annual interest of $4408, we can set up a system of equations.
Let's denote the amount invested at 4 percent as x and the amount invested at 11 percent as y. Given that she puts twice as much in the account with 4 percent, we can say that x = 2y. Furthermore, the total interest earned from both accounts is $4408, so the equation for the total interest would be 0.04x + 0.11y = 4408.
Substitute x = 2y into the interest equation to get 0.04(2y) + 0.11y = 4408. After simplification, the equation becomes 0.19y = 4408. Dividing both sides by 0.19 gives us y = 23189.47. Since x = 2y, multiply y by 2 to find x = 46378.95.
Therefore, Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent.
Q=P(R+R) (SOLVE FOR P)
An object on Jupiter weighs about 2.5 times as much as the same object would weigh on Earth. If a person on Earth weighs 135 lb., how much does the person weigh on Jupiter? A. 54 lb. B. 137.5 lb. C. 337.5 lb. D. 3375 lb.
To different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee, but charges $35 per month. After how many months will the two companies charge the same amount?
The number of months when the two companies charge the same amount is 5 months.
Let the number of months when the two companies charge the same amount be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
75 + (20 × x) = 35 × x
75 + 20x= 35x
Collect like terms
35x - 20x = 75
15x = 75
Divide both side by 15
15x/15 = 75/15
x = 5
Therefore, the number of months when the two companies charge the same amount is 5 months.
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Can someone help me with this?
factor out the coefficient of the variable 3.4c + 10.2
2 1/6 - -8/3 + -4 7/9
Will mark brainliest!! The table shows the outputs, y, for different inputs, x:
(need someone to explain it not just give me the answers)
Part A:Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 8x − 5. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 19? (5 points)
Answer:
give other person brainlist
Step-by-step explanation:
What is 40% of 25? Use an appropriate technique to solve. A. 10 B. 62.5 C. 100 D. 1000
A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answered correctly
At a pet shop there are 2100 cats and 210 dogs for a total of 2310 pets all together
There are 2100 cats and 210 dogs, totaling 2310 pets. Cats outnumber dogs 10 to 1.
To find the number of cats and dogs separately, let's set up a system of equations.
Let [tex]\( x \)[/tex] represent the number of cats and [tex]\( y \)[/tex] represent the number of dogs.
We're given two pieces of information:
1. There are 2100 cats and 210 dogs for a total of 2310 pets.
[tex]\[ x + y = 2310 \][/tex]
2. There are 2100 cats.
[tex]\[ x = 2100 \][/tex]
We can substitute the value of [tex]\( x \)[/tex] from the second equation into the first equation:
[tex]\[ 2100 + y = 2310 \][/tex]
Now, let's solve for [tex]\( y \):[/tex]
[tex]\[ y = 2310 - 2100 \][/tex]
[tex]\[ y = 210 \][/tex]
So, there are 210 dogs.
To summarize:
- Number of cats [tex](\( x \)):[/tex] 2100
- Number of dogs [tex](\( y \))[/tex]: 210
can someone please help me
What is the name of the relationship between ∠1 and ∠8 ?
alternate interior angles
adjacent angles
alternate exterior angles
corresponding angles
Two parallel lines cut by a transversal. Angles are labeled one through four, starting above the top parallel line labeled 1 and 2 going left to right. Below the top parallel line labeling 3 and 4 going left to right. Angle 1 is acute. Angles are also labeled 5 through 8, starting above the bottom parallel line being labeled 5 and 6 going left to right. Below the bottom parallel line the angles are labeled 7 and 8 going from left to right.
Last week, 4.3 inches of rain filled a rain gauge. This week, another 3.375 inches of rain filled the gauge. What was the total amount of rain that filled the rain gauge in two weeks? Enter your answer in the box.
The rain gauge collected a total of 7.675 inches of rain over the two-week period by adding last week's 4.3 inches to this week's 3.375 inches of rainfall.
This question demands basic understanding of mathematical operations and basic mathematical problem solving.
The question asks for the total amount of rain that filled a rain gauge over a two-week period. Last week, the rain gauge collected 4.3 inches of rain, and this week it collected an additional 3.375 inches. To find the total rainfall over the two weeks, we simply add these two amounts together:
4.3 inches (last week's rain) + 3.375 inches (this week's rain) = 7.675 inches
So, as per the above explaination, the rain gauge collected a total of 7.675 inches of rain over the two-week period.
rotate 90 clockwise around the origin (-6,-2) (-3,1) (-1,1) (2,-4)
Simplify 0.4(−4.5)
help
A weed called the boomstar vine is known for growing at a very fast rate. It can grow up to 0.5 feet per day. How fast in inches per day can the boomstar vine grow up to? How fast in inches per hour can the boomstar grow up to?
The Boomstar vine can grow up to 6 inches per day and 0.25 inches per hour, after converting from feet to inches and dividing by the number of hours in a day, respectively.
Explanation:The Boomstar vine can grow up to 0.5 feet per day. To convert feet to inches, we multiply by the conversion factor of 12 inches per foot. Therefore, multiplying 0.5 feet by 12 gives us:
0.5 feet/day × 12 inches/foot = 6 inches per day.Next, to find out how fast it grows in inches per hour, we divide the daily growth in inches by the number of hours in a day:
6 inches/day ÷ 24 hours/day = 0.25 inches per hour.A box of cereal measures 3 by 8 by 10 inches. The manufacturer plans to market a smaller box that measures 2 by 7 by 8 inches. By how much will the volume be reduced?
volume of original box: 3 *8 *10 = 240 cubic inches
volume of new box: 2 *7 *8 = 112 cubic inches
240 - 112 = 128
volume is reduced by 128 cubic inches
75 cents /hr equals how many dollars/day
-8 times 0.09 times -0.5
Am on the write path and can someone explain me what I have to do?
A greyhound can jump a distance of 27 feet how many feet will a greyhound travel if it jumps 12 times
Solve each compound inequality and graph the solution.
1. 2x + 5 > −3 and 4x + 7 < 15
2. 2x − 5 > 3 or −4x + 7 < −25
The required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is x > 4 or x > 8.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
1. 2x + 5 > −3 and 4x + 7 < 15
2x > -8 and 4x < 8
x > -4 and x < 2
2. 2x − 5 > 3 or −4x + 7 < −25
2x > 8 or -4x < -32
x > 4 or x > 8
Now, plotting graph for both inequalities,
the double-shaded portion on the graph is the required solution for inequalities in section 1 of the question, and solution for the section 2 of the question is each shaded area of the graph.
Thus, the required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is x > 4 or x > 8.
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Solve the equation. -13v = 195 (> Negative -13)
A. -1/15 (negative 1/5
B.15
C. 1/15 (positive 1/5)
D. -15 (negative 15)
Please show all work, and this on solving equations with integers, Thank you:)
Graph the line y=−1.5x. Using the graph, find:
The value of y corresponding to the value of x equal to 1; 0; 2; 3 problem.
If x = 1, y = .
If x = 0, y = 0.
If x = 2, y = .
If x = 3, y = .
I NEED HELP ASAP!!!!!!What are three important principles to follow when you do a close reading and write about it?