What happens when you multiply a fraction by 1?
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
$1.08
$1.50
$41.50
$83.00
Complete the inequality statement with the symbol that makes it true.
1.67 ___ 16.7
>
<
=
Answer:
The symbol in the blank space would be '<'
Step-by-step explanation:
Since, in inequality,
'>' = greater than,
'<' = less than,
'≥' = greater than equal to,
'≤' = less than equal to,
Now, 1.67 × 10 = 16.7
⇒ 16.7 is 10 times of 1.67,
That is,
1.67 is less than 16.7
⇒ 1.67 < 16.7
Hence, THIRD option is correct.
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.
Answer: B.The triangle in question is a right triangle.
Step-by-step explanation:
The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.
The given sides of triangle : 3, 4, and 5.
Here, Measurement of largest side = 5
Then , [tex]5^2=25[/tex]
Also, [tex]4^2+3^2=16+9=25[/tex]
[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]
Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.
Answer:
HAS TO BE A RIGHT ANGLE
Step-by-step explanation:
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confused on this question
Given an int variable n that has been initialized to a positive value and, in addition, int variables k and total that have already been declared, use a do...while loop to compute the sum of the cubes of the first n whole numbers, and store this value in total. thus if n equals 4, your code should put 1*1*1 + 2*2*2 + 3*3*3 + 4*4*4 into total. use no variables other than n, k, and total.
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.
2l + 2w = 16
2(l + w) = 16
l + w = 8
l = 8 - w
Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options.
Hope this helped!!!!!
name each polynomial by degree and number of terms calculator.
1. -8
2. -4 + 10n
3. 5a^4 - 2a^3 + 7a
4.-3+8v^2
5. -9^5 + 6x^3 - 7x^2 -
9x^4
Factor the expression. 21x2 + 55x + 14
Answer:
(3x + 7)(7x + 2)
Step-by-step explanation:
Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42
A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
Which has the smaller scale: a map on which 1 inch equals 200 miles a map on which 1 inch equals 100 miles?
Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully factored? select yes or no for expressions a –
d.
a. 2x2 + 3 yes no
b. 2x2 + 5 yes no
c. 2x – 3 yes no
d. 4x2 – 9 yes no
Taylor made 5 1⁄4 cups of iced tea. How many 10 ounce glasses can he fill to the brim with iced tea?
What does it mean for a set of financial records to be comprehensive?
a. Comprehensive records are protected against theft and fire.
b. The records must contain sufficient information to cover all of your financial plan. c. At least two people must be able to view and assess the records.
d. The records must contain every one of your financial files, such as pay stubs and receipts.
Answer:
B. The records must contain sufficient information to cover all of your financial plan.
Step-by-step explanation:
For a set of financial records to be comprehensive, means - The records must contain sufficient information to cover all of your financial plan.
One should prepare all the strategies before hand and all the details of ones financial plans should be thoroughly examined , before implementing any plan.
BRAINLIEST TO BEST ANSWER!!!
What are the domain and range of the function???
the curved line starts at (6,0) so the domain is x≥6
the range is the Y value, since the curved line continues off the graph and does not cross over the x axis the range would be y≥0
he value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650. Do not use any dollar signs in the inequality. Write the inequality in standard form.
Answer:
[tex]300(1.05)^x\geq 650[/tex]
Step-by-step explanation:
Since, the initial value of the basketball = $ 300
Annual rate of interest = 5 %
Let the basket ball after x years is worth at least $ 650,
⇒ The cost of basketball after x years ≥ 650
[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]
[tex]\implies 300(1+0.05)^x\geq 650[/tex]
[tex]\implies 300(1.05)^x \geq 650[/tex]
Which is the required inequity.
The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle
Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, but not both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, or both.
Answer: Hello mate!
If you have any real number A; you always have that:
A*0 = 0
this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)
Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.
And with this information, you can see that the right answer is D.
"if If a • b = 0, then either a = 0 or b = 0, or both."
because:
0*b = 0
a*0 = 0
0*0 = 0
Final answer:
The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.
Explanation:
The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.
The graph of y=-4x+7 is:
A. a line that shows the set of all solutions to the equation.
B. a point that shows one solution to the equation.
C. a point that shows the y-intercept.
D. a line that shows only one solution to the equation.
Answer:
A. A line that shows the set of all solutions to the equation
Step-by-step explanation:
Which conjunction or disjunction is equivalent to the following inequality?
|a - 9| ≤ 4
a - 9 ≤ 4 AND a - 9 ≤ - 4
a - 9 ≤ 4 AND a - 9 ≥ - 4
a - 9 ≤ 4 OR a - 9 ≤ - 4
a - 9 ≤ 4 OR a - 9 ≥ - 4
Answer:
a - 9 ≤ 4 and a - 9 ≥ - 4
Step-by-step explanation:
BRAINLIEST!! THANKS!! STARS!!
Find ONLY the areas of the polygons
11.
area for lower left = 52*62 = 3224
area for upper right = 68*54 = 3672
total area = 3224 + 3672 = 6896 square yards
12.
area of upper left = 57-69 = 3933
area of lower right = 24*37 = 888
total area = 3933 +888 = 4821 square feet
Convert the mixed number to a decimal. 4 6/25 A. 4.12 B. 4.24 C. 4.25 D. 4.625
Are number 2,3,5,7 and 8 correct?
Please write the function
the weight of a rectangular block of metal varies jointly as its length, width and thickness. If the weight of a 13dm by 8dm by 6dm block of aluminum is 18.2kg, find the weight of a 16dm by 10dm by 4dm block of aluminum??
Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?
x = Elgas age
2x = Alvins age
x +2x = 60
3x =60
x = 60/3 = 20
Elga is 20 years old
Final answer:
By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.
Explanation:
To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.
Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:
x + 2x = 60
This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:
3x / 3 = 60 / 3
x = 20
Therefore, Elga's age is 20 years old.
You push the ball with a force of 22.8N which includes a- 2.3N frictional force. So, what is the net force while you push the ball?
Calculate the value of the area between the function f(x)=x^2-4f(x)=x2−4 and the x-axis on the interval from x = 0 to x = 2. round your answer to one decimal place.
divide -2x^3-5x^2+4x+2 by x+2
Final answer:
The detailed answer explains how to divide a polynomial by another using long division method.
Explanation:
To divide -2x³-5x²+4x+2 by x+2, we will perform polynomial long division:
-2x³-5x²+4x+2 / x+2
Start by dividing the leading terms: -2x³ / x = -2x². Multiply x+2 by -2x² to get -2x³-4x². Subtract this from -2x³-5x² to get x². Bring down the 4x next. Continue the process and you will get a quotient of -2x²+x-2 with a remainder of 6.