stacy says the 4 in 643 has a value of 4 tens or 40 do you agree with stacy reasoning explain use picture,words or number in your answer.
Final answer:
Stacy is correct in saying that the 4 in 643 has a value of 4 tens or 40, as numbers can be broken down by place value, with each digit representing a different value depending on its position.
Explanation:
I do agree with Stacy's reasoning. The number 643 can be broken down into its place values: the 6 is in the hundreds place, representing 600; the 4 is in the tens place, representing 40; and the 3 is in the ones place, representing 3. Therefore, the value of the 4 in 643 is indeed 4 tens, or 40, as Stacy has indicated.
To visualize this, imagine the number 643 written on a place value chart:
Hundreds: 6
Tens: 4
Ones: 3
This confirms that the digit 4 in the tens place contributes 40 to the overall value of the number 643.
Explain why the relationship between how much steven charges and time is a promotioninal relationship
You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake.
Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?
a.
0.5cos30°
b.
0.5cos60°
c.
0.5sin30°
d.
0.5sin60°
Answer:- c. 0.5sin30°
Explanation:-
Let AB= 0.5 miles be the distance across the lake to 60º north of east.
AC= distance travel to the east
Now, in right ΔABC
[tex]sin60^{\circ}=\frac{AC}{AB}\\\\\Rightarrow\ AB=ACsin60^{\circ}\\\Rightarrow\ AB=0.5\ sin60^{\circ}[/tex]
Now Distance towards west [tex]AD=|\ -0.5\ sin60^{\circ}|[/tex] [distance is a positive quantity]
[tex]AD=0.5\ sin60^{\circ}[/tex]
[tex]AD=0.5\ cos(90^{\circ}-60^{\circ})[/tex] [Taking complementary angle of 60° ]
[tex]AD=0.5\ cos(30^{\circ})[/tex]
Thus C. is the right option.
Answer:
the answer is C.
Step-by-step explanation:
Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Justin. Heather served 5 more orders than Justin. How many orders did they each serve?
Help!!
1. Write an expression for the slope of line r
2. Write an expression for the slope of line s
3. Line q is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?
Point A has a _____ abscissa and a _____ ordinate.
positive, negative
negative, positive
negative, negative
positive, positive
Answer:
Negative,Positive
Step-by-step explanation:
The coordinate geometry, plane is divided into four parts and each part is known as quadrant. The abscissa denotes the point lies on X- axis whereas ordinate denotes the point on Y-axis.
Since the point A lies in second quadrant. In second quadrant, abscissa is negative and ordinate is positive because here x lies to left of x axis and y lies to right of y axis.
Thus, the correct answer is option (2)
56 books 75% decrease
Alisa hopes to play beach volleyball in the olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard volleyball court is 26 feet by 52 feet. She figures she will need the sand to be one foot deep.
Sand a is 60 lbs for $5
Sand b is 150 lbs for $12
A. What's is the rate brand a is selling for? Give rate and then specify the unit rate.
B.Which brand is offering the better value? Explain.
Brand A is selling the sand at a rate of $0.0833 per pound, which is a slightly better value compared to brand B's rate of $0.08 per pound.
Explanation:A. To find the rate at which brand A is selling the sand, we need to calculate the cost per pound. The rate for brand A is $5 for 60 lbs. To find the unit rate, we divide the cost by the amount, which gives us $5 / 60 lbs = $0.0833 per lb.
B. To determine which brand is offering the better value, we compare the unit rates. Brand A has a unit rate of $0.0833 per lb, while brand B has a unit rate of $12 / 150 lbs = $0.08 per lb.
Therefore, brand A is offering a slightly better value since it has a lower unit rate.
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In circle Y, what is m∠SZT? 86° 94° 108° 128°
Answer:
It's 94
Step-by-step explanation:
An amount of $31,000 is deposited in a bank that pays interest at the rate of 4%/year, compounded annually. what is the total amount on deposit at the end of 6 years, assuming there are no deposits or withdrawals during those 6 years? (round your answer to the nearest cent.)
The total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $31000,
The time, t = 6 years,
The rate of interest, r = 4% per annum,
Calculate the simple interest by the formula given below,
[tex]SI = P\times r\times t / 100[/tex]
SI = 31000 × 4 × 6 / 100
SI = $7440,
Calculate the by the formula given below,
[tex]Total \ amount = P + SI[/tex]
Total amount = $31000 + $7440
Total amount = $38440
Therefore, the total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
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The price of a gallon of milk has increased from $3.24 to $4.05. What is the percentage increase?
Answer:
percent increase = 25%
Step-by-step explanation:
The price of a gallon of milk has increased from $3.24 to $4.05
LEt x be the percentage increase
intitial cost + initial cost times percentage = new cost
[tex]3.24 + 3.24 (\frac{x}{100})= 4.05[/tex]
Subtract 3.24 from both sides
[tex]3.24 (\frac{x}{100})= 0.81[/tex]
divide by 3.24 on both sides
[tex](\frac{x}{100})= 0.25[/tex]
Multiply both sides by 100
x= 25 %
What are the slope and the y-intercept of the linear function that is represented by the table?
Answer:
The answer is D.
Step-by-step explanation:
I got it correct on my test.
Correct me if I'm wrong.
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume w > 5 lbs.
a. C = 9.7w + 0.46
b. C = 0.46w + 12
c. C = 0.46w + 9.7
d. C = 0.46(w - 5) + 9.7
Answer:
d. C=0.46(w-5)+9.7
Step-by-step explanation:
the cost of having a package delivered has a base fee of $9.70, that means that independently of the pounds of the package, the cost is always going to be $9.70
Then, there is an additional cost, that just count if the package have more than 5 lbs. Every pound over this 5 lbs, cost $0.46 per pound. So, the additional cost is:
0.46*(w-5)
Where (w-5) are the number of pound that over 5 lbs.
Finally the total cost is the sum of the base cost and the additional cost, that can be written as:
C=0.46*(w-5)+9.7
Answer:
It is D.
Step-by-step explanation:
took the assessment.
Sean Michael has a jar of nickels and dimes he has 1530 coins that total 127.45 how many of each coin does he have
Billy Anderson is choosing between two fitness centers. Center A charges $395 per year for unlimited use of all facilities. Center B charges a $25 sign up fee, a $15 monthly fee, and $5 per aerobics class. If Billy goes to aerobics once a week, which club is least expensive for him to use for a year?
which facility is cheaper?
The Least expensive club for Billy to use for a year would be; Center B
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let just compare the cost of both the centers.
Cost of Center A:
One time charge of $495 in one complete year.
Cost of Center B:
Flat $25 dollar sign up fee
$15 per month, thus 15 x 12 = 180 dollars a year
$5 per aerobic class, so 5 x 52 = 260. dollars a year (given that Billy goes to class once a week)
There are 52 weeks in a year.
260 + 180 + 25 = 465 dollars
Hence, Center B would cost 30 dollars cheaper.
The Least expensive club for Billy to use for a year would be; Center B
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mr. john doe was figuring out his federal income tax.his income tax is 26,800, but he was able to subtract 5,000 in deducations he paid 15% of the remaning income tax . how much did he pay
subtract 5ooo from 26800
26800 - 5000 = 21800
now multiply that by 15%
15% = 0.15
21800 * 0.15 = 3270
he paid $3,270 in taxes
whats the cubed root 64/343
HELP NEEDED IN MATHS
you want to mail a gift that is in the shape of a rectangular prism with the dimensions 25 cm by 32 CM by 40 cm .what is the minimum amount of brown paper you need to cover the gift? helppp
Which of the following are valid names for the given triangle below? Check all that apply.
Answer:
Triangle LMZ
Triangle MLZ
Triangle ZML
Step-by-step explanation:
Option A,B and E are all the valid names.
The valid names of the triangle are those that has all the angles withing. The angles are Angle l, M and Z.
C and D are not angles, so any triangle cannot be formed using these.
Hence, the valid triangles here are:
Triangle LMZ
Triangle MLZ
Triangle ZML
Answer:
LMZ,ZML,MLZ
Step-by-step explanation:
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 + y2 = 4 and the plane x + y + z = 9.
The length of the curve of intersection of the cylinder 4x2 + y2 = 4 and the plane x + y + z = 9 is found by parameterizing the ellipse formed by the intersection, finding the derivatives with respect to the parameter, and integrating these derivatives over one period of the parameter.
Since the equation of the cylinder has x and y terms, we'll start by solving the plane's equation for z: z = 9 - x - y. Substituting this into the cylinder's equation gives 4x² + y² = 4, which is indeed the equation of an ellipse in terms of x and y. Next, we parameterize this ellipse using trigonometric functions: x = cos(t), y = 2sin(t), where 0 ≤ t < 2π.
Substituting these into the plane's equation gives z = 9 - cos(t) - 2sin(t). Now we'll use the formula for arc length, which is the integral of the square root of the sum of the derivatives squared:
L = ∫ √((dx/dt)² + (dy/dt)² + (dz/dt)²) dt. We evaluate this integral from t = 0 to t = 2π using the derivatives of x, y, and z with respect to t.
Finally, we can compute this integral and round the result to four decimal places. The analytical computation of the integral may be complex and require special functions such as elliptic integrals, depending on the resulting expression after derivatives are calculated.
solve 3m+7/2=−2m+5/2 what is m
Answer:
-2/5
Step-by-step explanation:
3m + 7/2 = -2m + 5/2
3m + 7 = -2m + 5
5m = -2
m = -2/5
A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 20 ft longer than the width. The farmer can use no more than 100 ft of fencing. What is the pen’s greatest possible length?
Let w represent the width of the pen. What expression represents the length?
Enter your response in the box.
l=
Answer:
a) The greatest possible length is 35.
b) l = w + 20
Step-by-step explanation:
The farmer wants the length of the pen to be 20ft longer than the width. If we use w to represent the width. Then the length would be w + 20
The problem first ask us to find the greatest possible length considering the fencing will be no more than 100ft.
We know that the perimeter of a rectangular area is: 2l + 2w (where l is the length and w the width)
Therefore for the fencing we would need 2l + 2w ≤ 100.
We are going to substitute the values for l and w that we mentioned at the beginning and solve for w:
2l + 2w ≤ 100
2(w+20) +2w ≤ 100
2w + 40 +2w ≤ 100
4w ≤ 100 - 40
4w ≤60
w ≤ 15
Therefore the width has to be less or equal to 15.
Since the length is 20 ft longer than the width, the greatest possible length happens when the width has its greatest value.
So when w = 15, the length is 35 and this is the greatest possible length of it.
b) The expression that represents the length (as we said before) is w + 20
estimate the answer to: 3772 divided by 44
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
Answer:
a. Brand G will end up costing $159.48 less than Brand F.
Step-by-step explanation:
If you calculate the compound interest of paying the $650 barbecue to five years the cos would be around 1050 after paying the compound interests of 13.01% monthly, and when you calculate the cost of paying off a $200 over 3 years the cost of the three would be $898, so it would be cheaper to buy the three $200 barbecues over the spam of 15 years, that would be the answer.
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
Which equation can be used to find d, the number of dollar coins Giuliana has?
d – 22 + 0.25d = 10.75
0.25d + 22 – d = 10.75
0.25(22 – d) + d = 10.75
d + 0.25(d – 22) = 10.75
Let
q------> the number of quarters coins
d------> the number of dollars coins
we know that
[tex]1\ quarter=\$0.25[/tex]
[tex]q+d=22[/tex]
[tex]q=22-d[/tex] ------> equation A
[tex]0.25q+d=10.75[/tex] -----> equation B
substitute equation A in equation B
[tex]0.25[22-d]+d=10.75[/tex]
therefore
the answer is the option
[tex]0.25[22-d]+d=10.75[/tex]
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Giuliana has 22, quarters and dollar coins worth a total of $10.75.
Let the number of dollar coins be represented by d, while the number of quarter coins be represented by (22-d). Therefore, the sum of the total amount that is with Giuliana can be written as,
(1 x d) + (0.25 x (22-d)) = 10.75
d + 0.25(22-d) = 10.75
Hence, the equation can be used to find d, the number of dollar coins Giuliana has is 0.25d + 22 – d = 10.75.
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A rectangular floor is 5 yards long and 4 yards wide. What is the area of the floor in square feet?
Final answer:
To calculate the area of the floor in square feet, the dimensions in yards are first converted to feet (1 yard = 3 feet), and then the length and width in feet are multiplied to get the area (15 feet x 12 feet = 180 square feet).
Explanation:
The student is asking about the area of a rectangular floor in square feet when the dimensions given are in yards. To find the area of the floor, we first convert the measures from yards to feet, knowing that 1 yard equals 3 feet. Therefore, the rectangular floor measures 5 yards long (which is 5 x 3 = 15 feet long) and 4 yards wide (which is 4 x 3 = 12 feet wide).
Now we can calculate the area by multiplying the length by the width. The area in square feet is thus 15 feet x 12 feet = 180 square feet.
What is the solution set of -9x ≥ 27?
Answer:
x<=-3
Step-by-step explanation:
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What is the correct solution for the arithmetic expression 2+8/2*9/3 using the order of operations employed by oracle10g when solving equations?
Arithmetic expressions involve several arithmetic operations
The correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
The expression is given as:
[tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex]
Divide 8 by 2
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times \frac 93}[/tex]
Divide 9 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times 3}[/tex]
Multiply 4 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 12}[/tex]
Add 2 and 12
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 14}[/tex]
Hence, the correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
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Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-intercept of the line. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
The point slope form of the line has the following form:
y – y1 = m (x – x1)
The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (3 - 0) / (0 – 4) = - ¾
So the whole equation is:
y – 0 = - ¾ (x – 4)
y = - ¾ (x – 4) or
y = - 0.75 (x – 4)