To solve this problem, we are going to use trial and error.
If the 2 numbers are 3 and 4 then 3 and 4 is 12 and 3 + 4 = 7
which cannot be divided equally, so this is not the answer.
3 and 5 = 15 but this is not divisible by 2.
6 and 3 = 18 and 6 + 3 = 9 which is 1/2 of 18
therefore, one set is 6 and 3.
the sum of three consecutive even numbers is 42. The sum can be represented by the equation n+(n+2)+(n+4)=42. what does n represent
how do i find the range and domain? please leave detailed steps because i'm struggling with this :(
Find dy/dx
√(x+y) = x - 2y
Analyze each product in the table.
A. Why is the first product less than 3/4?
B. Why is the second product equal to 3/4?
C. Why is the third product greater than 3/4?
A because you are multiplying 3/4 by 1/2, you make the product smaller than 3/4
B beacue any number multiplied by one remains that number, since you are multiplying 3/4 by 1 it will remaim 3/4
C because the number multiplied by 3/4 is larger than 1 ( 3/2 = 1 1/2) the product will be larger than 3/4
Round to the nearest hundred thousand
89, 659
Answer:
The nearest hundred thousand of the provided number is 100,000.
Step-by-step explanation:
Consider the provided number 89, 659
According to place value.
Hundred Th. Ten Th. Thousands hundreds Tens Ones
100,000 10,000 1000 100 10 1
We need to round it to the nearest hundred thousand.
The provided number can be written as 089,659
The digit at the hundred thousand place is 0.
The rule of rounding a number is:
If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.
If 5, 6, 7, 8, or 9 follow the number, then rounding digit rounds up by one number.
Here, the number at the ten thousands place is 8, so to round up the number increase the digit of hundred thousand place by 1.
The digit at the hundred thousand place is 0 so increase it by 1.
Thus, the number can be rounded to the nearest hundred thousand is shown as:
100,000
The nearest hundred thousand of the provided number is 100,000.
Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.
Out of 25 students in mrs. Green class 19 have a pet what percent of students in mrs. Green class don't have a pet
The sales tax for an item was $24.50 and it cost $350 before tax. Find the sales tax rate.
To determine the sales tax rate, divide the sales tax amount by the item's pre-tax cost and convert to a percentage, yielding a 7% sales tax rate for this scenario.
To find the sales tax rate, you need to divide the amount of sales tax by the cost before tax and then convert it to a percentage. For an item that cost $350 before tax and had a sales tax of $24.50:
Divide the sales tax ($24.50) by the cost before tax ($350): $24.50 \/ $350 = 0.07.
Convert the decimal to a percentage: 0.07 x 100 = 7%.
Therefore, the sales tax rate for the item is 7%.
Lisa's coffee shop makes a blend that is a mixture of two types of coffee type A coffee cost Lisa $4.50 per pound and type B coffee cost $5.50 per pound. This month's blend uses three times as many pounds of type B coffee as type A, for a total cost of $634.50. How many pounds of type a coffee were used?
The number of pounds of coffee used is 30 pounds.
Given data:
Let x be the number of pounds of type A coffee used.
Since the blend uses three times as many pounds of type B coffee as type A, the number of pounds of type B coffee used is 3x.
The cost of type A coffee is $4.50 per pound, so the cost of x pounds of type A coffee is 4.50x dollars.
The cost of type B coffee is $5.50 per pound, so the cost of 3x pounds of type B coffee is 5.50 * 3x = 16.50x dollars.
The total cost of the blend is $634.50, so the equation is:
4.50x + 16.50x = 634.50
Combine like terms:
21x = 634.50
On solving for x:
x = 634.50 / 21
x = 30
Hence, 30 pounds of type A coffee were used in the blend.
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A country's people consume 6.6 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 303 million.
Final answer:
To find the candy consumption per person per month, divide the total consumption of candy by the population and then divide by 12 months. The calculation shows that each person consumes approximately 1.815 pounds of candy per month.
Explanation:
To calculate the amount of candy consumed per person per month, we first need to divide the total annual consumption by the population of the country. The total annual consumption is 6.6 billion pounds of candy, and the population is 303 million people. So, the annual consumption per person is:
(6.6 billion pounds) / (303 million people) = 21.78 pounds/person/year.
Now, to find the monthly consumption per person, we divide the annual consumption per person by 12 (months in a year):
(21.78 pounds/person/year) / (12 months/year) = 1.815 pounds/person/month.
Therefore, each person in the country consumes approximately 1.815 pounds of candy per month.
The formula for the circumference of a circle is C=3.14 multiplied by the radius Determine the circumference when the radius r is 10 cm.
what is the y intercept of c=0.05m+4.95
Suppose a box contains 10 red balls, 10 green balls, and 10 orange balls. you will be choosing 3 balls from the box without replacement. 13. what is the probability of drawing an orange on the first draw and a red on the second draw?
Use distributive property and mental math to find the product
7x49
Is the difference of two rational numbers always rational? Explain
Liem is 6 feet 2 inches, Eli is 5 feet 9 inches, Faith is 6 feet, and Simon is 5 feet 4 inches. In yards, what is the total of their heights?
For what value(s) of x is g continuous? g(x) = 0 if x is rational 4x if x is irrational x is in the set of real numbers x = 4 x = −4 x = 0 none of these
Final answer:
The function g(x), being different for rational and irrational numbers, is nowhere continuous on the set of real numbers because it cannot satisfy the condition for continuity at any point.
Explanation:
We are asked to determine for what values of x the function g(x) is continuous. The function is defined to be 0 if x is rational, and 4x if x is irrational, over the set of real numbers. First, let's understand a key concept: for a function to be continuous at a point, the limit of the function as it approaches the point from either direction must be equal to the function's value at that point. In the case of g(x), the function takes the value of 0 for all rational numbers, but instantly changes to 4x for irrational numbers which are densely populated around every rational number.
Since the value of g(x) for rationals (0) is different from the nearby values for irrationals (which would be non-zero and depend on x), g(x) does not have a limit that equals its value at rational points and thus cannot be continuous at any rational number. Moreover, at irrational values of x, we cannot have continuity either, as any neighborhood around an irrational number contains rational numbers where g(x) would suddenly jump to 0, disrupting the limit process once again.
Therefore, the function g(x) is nowhere continuous on the set of real numbers since it cannot satisfy the condition for continuity at any point. Hence, the correct answer to the given question is 'none of these'.
Is 0.5 equal to 9/18
IT TAKES YOU 15 MINUTES TO BIKE 5 MILES. HOW LONG DOES IT TAKE YOU TO BIKE 1 MILE
can someone please help me
Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression.
(tan 45° + tan 60°)2
The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to find the area of the rectangle
Answer:
The equation is: x + 20 = 44
The area of the rectangle is 24 inches.
Step-by-step explanation:
The total area of the shape is 44 square inches.
The area of the triangle is 20 square inches.
We need to find the area of the rectangle.
Total area = Area of the triangle + Area of the rectangle.
Let "x" be the area of the rectangle.
So the equation is
44 = 20 + x
This can be written as x + 20 = 44
Now let's find the value fo x.
Subtract 20 from both sides, we get
x + 20 - 20 = 44 - 20
x = 24 square inches.
Therefore, the area of the rectangle is 24 inches.
if half of a loaf of bread is cut into six equal slices, what fraction is each slice of the original loaf?
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 212 h. Train B reaches station B after 4 h. Station A and Station B are 585 mi apart. What is the rate of the trains?
I just had the same question on a test and the answer was 90 MPH. Hope this helps somebody!
600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d
600 can be written as [tex]\(2^3 \times 3^1 \times 5^2\)[/tex], where 2, 3, and 5 are prime numbers.
To express 600 as the product of prime numbers, we'll use prime factorization.
Prime factorization involves breaking down a number into its prime factors.
Here's how we can do it:
Step 1 :**Start with the smallest prime number, 2:**
[tex]\( 600 \div 2 = 300 \)[/tex]
[tex]\( 300 \div 2 = 150 \)[/tex]
[tex]\( 150 \div 2 = 75 \)[/tex]
Step 2 :**Next, continue with the next smallest prime number, 3:**
[tex]\( 75 \div 3 = 25 \)[/tex]
[tex]\( 25 \div 5 = 5 \)[/tex]
Step 3 :**Now, we can't divide further by smaller prime numbers, so we try dividing by the next smallest prime, 5:**
[tex]\( 5 \)[/tex] is already a prime number.
Step 4 :**There are no more prime factors to consider, so we stop.**
Now, let's write down the prime factors we obtained:
[tex]\[ 600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \][/tex]
So, [tex]\( a = 2 \), \( b = 2 \), \( c = 3 \), and \( d = 5 \).[/tex]
Therefore, we can write:
[tex]\[ 600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \][/tex]
Thus, [tex]\( 600 \)[/tex] can be written as [tex]\( 2^3 \times 3^1 \times 5^2 \)[/tex], where [tex]\( 2, 3, \) and \( 5 \)[/tex] are all prime numbers.
A population has a mean of 40 and a standard deviation of 15. a sample of size 100 is taken at random from this population. the standard deviation of the sampling distribution of sample mean equals:
The crime rate in New York City has been steadily dropping over the past decades. In 1970, the murder rate was 15.8 per 100,000 people. In 2012, it had dropped to 3.5 per 100,000 people. What was the rate of decline?
A woman who is 64 inches tall has a shoulder width of 16 inches. Write an equation relating height to the width. Find the height of a woman who has a shoulder width of 18.5 inches.
The height of woman who has a shoulder width of 18.5 inches is 74 inches
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the height of a woman who has a shoulder width of 18.5 inches be = A
Now , the equation will be
The height of the woman be = 64 inches
The shoulder width of the woman be = 16 inches
So , the equation will be
Let the height of a woman who has a shoulder width of 18.5 inches be = 18.5 x ( height of the woman be / shoulder width of the woman )
Substituting the values in the equation , we get
The height of a woman who has a shoulder width of 18.5 inches be A =
18.5 x ( 64 / 4 )
The height of a woman who has a shoulder width of 18.5 inches be A =
18.5 x 4
The height of a woman who has a shoulder width of 18.5 inches be A =
74 inches
Therefore , the value of A is 74 inches
Hence ,
The height of woman who has a shoulder width of 18.5 inches is 74 inches
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How are the numbers 579 and 597 different
597 is a greater value than 579.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
Rounding some number to a specific value is making its value simpler mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We have to find How are the numbers 579 and 597 different to each other.
As we can see that the last two digit of the numbers 79 and 97 are flipped.
We know that 97 is greater than 79.
Therefore, 597 is a greater value than 579.
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Pre Calc question please help!