How many ones in 800?
Ms. Rios buys 453 grams of strawberries she has 23 grams left after making smoothies how many grams of strawberries did she use
Ms. Rios used 430 grams of strawberries to make her smoothies. This is calculated by subtracting the amount left (23 grams) from the total amount purchased (453 grams).
Explanation:To determine how many grams of strawberries Ms. Rios used for making smoothies, we can subtract the quantity of strawberries left unprocessed from the total quantity she originally purchased. In this case, Ms. Rios bought 453 grams of strawberries and had 23 grams left after making smoothies.
The formula to determine the solution would be: Total amassed quantity - Remaining quantity = Used quantity
By filling the above formula with our values, the solution will be as follows: 453 grams (total) - 23 grams (remaining) = 430 grams (used).
Thus, Ms. Rios used 430 grams of strawberries for making smoothies.
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In one year, Michael earned $6300 as a work study in college. He invested part of the money at 9% and the rest at 7%. If he received a total of $493 in interest at the end of the year, how much was invested at 7%? How much was invested 9%?
Olivia earned $250 a week plus 5% commission on all sales over $1,500. How much did she earn the week she sold $3,500 worth of merchandise?
What are the seven steps needed to reconcile a bank statement?
1. Add Deposits
2. Bank Errors
3. Outstanding Checks
4. Check Register Reconciliation
5. Interest Earned
6. Check Register Errors
7. Compare Both Statements
A farmer has 260 feet of fencing to make a rectangular corral. What dimensions will make a corral with the maximum area? What is the maximum area possible?
you visit a farm and notice that white chicken lay white eggs and colored chickens lay brown eggs, so you decide that only white chickens lay white eggs. wht type of reasoning is this
The type of reasoning demonstrated in the scenario is deductive reasoning.
Deductive reasoning starts with a general premise or statement and applies it to a specific case to reach a logical conclusion. In this case, the premise is that white chickens lay white eggs and colored chickens lay brown eggs. Therefore, when encountering a white chicken, the conclusion is drawn that it will lay white eggs.
To understand deductive reasoning, let's break it down:
Premise:
White chickens lay white eggs.
Colored chickens lay brown eggs.
Observation:
Encounter a white chicken.
Conclusion:
Therefore, the white chicken will lay white eggs.
This conclusion is based on the general premise about the egg-laying behavior of white and colored chickens. Deductive reasoning allows us to draw specific conclusions from general principles, assuming the premises are true.
If the apy of a savings account is 3.7%, and if the principal in the savings account were $3600 for an entire year, what will be the balance of the savings account after all the interest is paid for the year?
Zeno has to go a distance, d, to get to his destination. He claims he can never get there because he has to travel half that distance d, then half of half of distance d, and so on. He says that he has to do an infinite number of tasks and that it is impossible. Use an infinite geometric series to help Zeno. Identify a1 and r to form the infinite geometric series that represents the problem.
a1=1/2d
r=1/2
sup it needs twenty character apparently
The [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.
What is geometric sequence ?
Geometric sequence a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
i.e. [tex]a+ar+ar^2+ar^3+......[/tex]
Here, [tex]a=[/tex] First term and [tex]r=[/tex] common ratio
Next term formula, [tex]a_{n} =a_{1}\ *\ r^{n-1}[/tex]
We have,
[tex]d=[/tex] distance to her destination,
Now,
According to the question;
Zeno has to travel half that distance i.e. [tex]\frac{d}{2}[/tex],
Then half of half of distance i.e. [tex]\frac{d}{4}[/tex],
Then half of [tex]\frac{d}{4}[/tex] distance i.e. [tex]\frac{d}{8}[/tex] and so on.
So,
Here, we have,
[tex]\frac{d}{2},\frac{d}{4},\frac{d}{8}, .........[/tex]
So,
We have Geometric Sequence,
Here,
[tex]a_{1} =\frac{d}{2}[/tex] and
Now,
[tex]r=[/tex] common ratio,
[tex]r=\frac{a_{2} }{a_{1} }[/tex]
[tex]r=\frac{\frac{d}{4} }{\frac{d}{2} }[/tex]
We get,
[tex]r=\frac{1 }{2 }[/tex]
So, These are [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] of the Geometric sequence.
Hence, we can say that he [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.
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For each of the following functions, find the maximum and minimum values of the function on the circular disk: x^2+y^2≤1. Do this by looking at the level curves and gradients.
f(x,y)=x+y+4
maximum value =
To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, evaluate the function at the boundary of the disk.
Explanation:To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, we can use the method of level curves and gradients.
First, find the gradient of the function f(x, y) using partial derivatives.Next, find the critical points of the function by setting the gradient equal to zero and solving for x and y.Finally, evaluate the function at the critical points and the boundary of the circular disk to find the maximum and minimum values.In this case, since the function f(x, y) = x + y + 4 is linear, it does not have any critical points. Therefore, the maximum and minimum values of the function on the circular disk x^2 + y^2 ≤ 1 are obtained by evaluating the function at the boundary of the disk.
When x^2 + y^2 = 1, the function value is largest at the point (x, y) = (-1, 0), giving a maximum value of -1 + 0 + 4 = 3. The function value is smallest at the point (x, y) = (1, 0), giving a minimum value of 1 + 0 + 4 = 5.
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nelda baked 2 kinds of pasta in pans. each pan was the same size. She sliced one pan of pasta into 6 equal pieces. She sliced the other pan into eight equal pieces. How can the pans of pasta now be sliced so that both pans have the same size pieces?
Answer:
The first pan has to be divided into 4 equal parts.
The second pan has to be divided into 3 equal parts.
Step-by-step explanation:
The first step to solve this problem is finding the least common multiple of 6 and 8.
The multiples of 6 are {0,6,12,18,24,30,36,42,...}
The multiples of 8 are {0,8,16,24,32,...}
The least common multiple of 6 and 8 is 24.
So both kinds of pasta have to be baked so after the second step they have 24 equal parts.
So:
First pan:
The first pan was sliced into 6 equal parts.
24/6 = 4.
So each of the 6 parts have to be divided into 4 equal parts.
After the second step, they have 6*4 = 24 equal parts.
Second pan:
The second pan was sliced into 8 equal parts
24/8 = 3
So each of the 8 parts have to be divided into 3 equal parts.
After the second step, they have 8*3 = 24 equal parts.
Graph the line for y+1=−35(x−4) on the coordinate plane. What are the coordinates that's all I need to know
if the smaller of two consecutive even intergers is subtracted from 3 times the larger the result is 42
3(x-2)+2(x+1)=-14
plz show work
A 250-kVA, three-phase, 480-volt transformer requires 75 gallons of insulating oil to keep it properly cooled. How many liters is this?
This problem can be directly solved by using a conversion factor. Simple research will tell us that 1 gallon contains about 3.78 Liter. Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
volume = 283.5 Liters
If (3,6) is a point on the graph of y=f(x) , what point must be on the graph of y=f(-x)? Explain.
The function y = f(-x) has the points (-3,-6).
When we substitute -x into a function f(x) to get f(-x), we are essentially reflecting the graph of f(x) across the y-axis. This is because replacing x with -x negates the x-values, effectively flipping the function horizontally.
Given that (3, 6) is a point on the graph of y = f(x), if we substitute -3 for x in f(-x), we get:
[tex]\[ f(-(-3)) = f(3) \][/tex]
So, the corresponding point on the graph of [tex]\(y = f(-x)\)[/tex] is [tex]\((3, 6)\)[/tex] since the function values stay the same when we reflect across the y-axis. Therefore, the point [tex](-3, -6)\)[/tex] is on the graph of [tex]\(y = f(-x)\)[/tex].
Write the following comparison as ratio reduced to lowest terms 194 inches to 17 feet
Each _____ on the coordinate plane has an address, called the _____ _____, (x,y).
Each point on the coordinate plane has an address, called the coordinates.
What is Coordinate Plane?The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis.
The coordinate plane is a two-dimension surface formed by two number lines.
A coordinate plane, also known as a rectangular coordinate plane grid, is a two-dimensional plane formed by the intersection of a vertical line called the Y-axis and a horizontal line called the X-axis.
One number line is horizontal and is called the x-axis.
The other number line is vertical number line and is called the y-axis.
The two axes meet at a point called the origin.
Hence, Each point on the coordinate plane has an address, called the coordinates.
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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 3t3dxdt+5x−3=03t3dxdt+5x−3=0.
A school bus uses 3/4 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus use to drive back and forth to school in a week with 4 school days? Write your answer in simplest form.
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below? x+y=y+x
Answer:
Matrix addition is commutative.
Step-by-step explanation:
We know that if there are two matrices X and Y of same order(i.e. same number of the rows and columns) then the addition between the two matrix is commutative i.e.
X+Y=Y+X.
While in case of multiplication of two matrices commutativity may or may not hold true.
Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes. At what time will trains next arrive at the same time on both tracks? A) 4:07 P.M. B) 5:19 P.M. C) 6:31 P.M. D) 7:43 P.M.
Simplify the expression where possible. (r 3) -2
solve each equation over [0,2pi)
4cos^4x-13cos^2x+3=0
Charlotte buys tickets to go to a baseball game the total includes a charge of 7% of the original price for extra fees. If Charlotte pays a total of $44.94 how much was the original price of the ticket
The original price of the ticket is $42.
Let the original cost of the ticket be represented by x
Based on the information given, the equation to solve the question will be:
x + (7% × x) = $44.94
x + (7/100 × x) = $44.94
x + (0.07 × x) = $44.94
x + 0.07x = $44.94
1.07x = $44.94
Divide both side by 1.07
1.07x/1.07 = $44.94/1.07
x = $42
Therefore, the original price of the ticket is $42.
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The original price of the ticket was $42.
Explanation:To find the original price of the ticket, we need to subtract the extra fees from the total amount Charlotte paid.
Let x be the original price of the ticket.
The extra fees would be 7% of x, which is 0.07x. Since the total paid is $44.94, we can set up the equation:
x + 0.07x = 44.94
Combining like terms on the left side gives us 1.07x = 44.94.
Next, we divide both sides by 1.07 to isolate x:
x = 44.94 / 1.07 = $42
Therefore, the original price of the ticket was $42.
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Yearbook sales this year increased 120% over last years yearbook sales. If 465 yearbooks were sold last year, how many were sold this year?
Answer:
This year 1,023 books were sold.
Step-by-step explanation:
Last year the number of yearbooks were sold = 465
This year sales are increased 120% over last years sales.
this year sale = 465 + (120% of 465)
= 465 + ([tex]\frac{120}{100}[/tex] × 465)
= 465 + (1.2 × 465)
= 465 + 558
= 1,023 books
This year 1,023 books were sold.
if it is a square is it a quadrilateral
The sat scores have an average of 1200 with a standard deviation of 60. a sample of 36 scores is selected. what is the probability that the sample mean will be larger than 1224? round your answer to three decimal places.
Final answer:
The probability that the sample mean of SAT scores will be larger than 1224 is 0.008. This is calculated using the z-score, which in this case is 2.4 after determining the standard error of the sampling distribution.
Explanation:
To find the probability that the sample mean will be larger than 1224, we will use the concept of the sampling distribution of the sample mean. Given the population mean (μ) is 1200 and standard deviation (σ) is 60, and that the sample size (n) is 36, the standard deviation of the sampling distribution, known as the standard error (SE), is
σ/√n = 60/√36 = 10.
We calculate the z-score for the sample mean of 1224 using the formula
z = (X - μ)/SE = (1224 - 1200)/10 = 2.4
A z-score of 2.4 indicates that the sample mean is 2.4 standard errors above the population mean.
To find the probability associated with this z-score, we refer to the normal distribution table or use a calculator. The probability to the left of z = 2.4 is 0.9918. Therefore, the probability that the sample mean is greater than 1224 is
1 - 0.9918 = 0.0082
which can be rounded to three decimal places as 0.008.
how can the statement c(1.5)+9 be interpreted
Which numbers are a distance of 4 units from 7 on the number line? A number line ranging from negative 3 to 15. Select each correct answer.
3
11
7
15
4
−3
Answer: 3, 11
Step-by-step explanation:
As u see in this screen shot there is wrongs and rights