Answer:
Step-by-step explanation:
The perimeter of a rectangular pool is 312 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
m
The perimeter of a rectangle is calculated by:
\(\boxed{P=width +width+length+ length}\)
Remember: In a rectangle, opposite sides are equals.
If we know how much is the width, then it's just apply it to the expression:
\(P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88\)
Therefore, the length of the pool is 88m.
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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which sales type is most clearly influenced by temperature? O Trade Show O Retail O Mail O Online O Phone
The sales type that is most clearly influenced by temperature is likely the Retail sales type.
The sales type that is most clearly influenced by temperature is likely the Retail sales type. Temperature can affect the buying habits and preferences of consumers in retail environments, particularly for products such as clothing, seasonal items, and food and beverages. For example, during the hot summer months, consumers may be more likely to purchase cold drinks or ice cream, while during the colder winter months, they may be more interested in purchasing warm clothing or comfort food.
Retailers often adjust their inventory and marketing strategies based on seasonal temperature changes to capitalize on these trends.
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17. Algebraically determine the domain and the y -intercept of the function y=\log _{4}(2 x+1)-3 .
The domain of the function is `R` and the y-intercept is `(0, -3)`
Given, `y = log4(2x + 1) - 3`.
To determine the domain of the function,
we should look for all values of `x` that would make the given function undefined.
There are no real values of `x` that would make the function undefined.
Therefore, the domain of the function is all real numbers or `R`.
To determine the y-intercept, substitute `x = 0` in the given function.`
y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`
Therefore, the y-intercept of the function is `(0, -3)`.
Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.
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Option 2: Proof
Can you prove using algebra which tray has more pie in?
Using algebra, the tray C has more pies in it than the trays A and B
Proving using algebra that a tray has more pieTo prove that one tray has more pie in it than others, we would need to have information about the amount of pie in each tray.
From the figure, we have
Tray A = x
Tray B = 4x
Tray C = 9x
When the above are compared, we have
9x > 4x > x
This means that tray C has more pies in it
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If you help me I’ll give brainliest and 20 points only answer if you know pls and thank you
Answer:
(2/3)^4 and (4/9)^2
Step-by-step explanation:
HELP pls will mark brainliest
Answer:
y = 20x +22
Step-by-step explanation:
a recipe requires 1/2 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk.
Answer:
1/2 cups of water are needed for each cup of milk
Step-by-step explanation:
The ratio for cups of water to cups of milk is 1:2
Assuming that 1 cup of milk is needed, then you will need 1/2 cups of water.
Hope this answers your question!
Use the distributive property to write an equivalent expression.
12(4n+10). ASAP, thank you.
Answer: 48n + 120
Step-by-step explanation:
12(4n+10)
12(4n) + 12(10)
48n + 120
Please help me with this.
Answer:
15.6 inches
Step-by-step explanation:
Here we want to find the length of the missing side
Mathematically, we can use Pythagoras’ theorem
The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be x
18 is the side that faces right angle and this is the hypotenuse
Thus, we have ;
x^2 + 9^2 = 18^2
x^2 = 324 - 81
x^2 = 243
x = √(243)
x = 15.6 in
Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment C B is 23.2, segment B D is 14.6 and segment C A is 28.6.
Group of answer choices
36.83
22.20
18.03
7.20
Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
What is the length of segment AD?The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
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Make t as the subject of the formula.
P = d + 15t
Answer:
\(t=\frac{P-d}{15}\)
Step-by-step explanation:
\(P=d+15t\\\\P-d=15t\\\\\frac{P-d}{15}=t\)
Solve the compound inequality. Express the solution using interval notation. 3x+2≤ 10 or 5x-4>26 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set to the compound inequality is. (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. There is no solution
The correct choice is A. The solution set to the compound inequality is (6, ∞).
To solve the compound inequality, we'll solve each inequality separately and then combine the solutions. First, let's solve the inequality 3x + 2 ≤ 10:
3x + 2 ≤ 10
Subtracting 2 from both sides:
3x ≤ 8
Dividing both sides by 3 (since the coefficient of x is positive):
x ≤ 8/3
Next, let's solve the inequality 5x - 4 > 26:
5x - 4 > 26
Adding 4 to both sides:
5x > 30
Dividing both sides by 5 (since the coefficient of x is positive):
x > 6
Now, let's combine the solutions. We have x ≤ 8/3 from the first inequality and x > 6 from the second inequality. The solution set to the compound inequality is the intersection of these two sets, which is x > 6. Therefore, the solution in interval notation is (6, ∞).
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During the rebuilding after World War II, we were short of tractors. The machine and tractor stations would lend each other equipment as needed. Three machine and tractor stations were neighbors. The first lent the second and third as many tractors as they each already had. A few months later, the second lent the first and third as many as they each had. Still later, the third lent the first and second as many as they each already had. Each station now had 24 tractors.
How many tractors did each station originally have?
The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;
The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors
What are simultaneous equations?Simultaneous equations are a set of two or more equations that have common variables.
Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station
According to the details in the question, after the first transaction, we get
Number of tractors at the first station = x - y - z
Number of tractors at the second station = y + y = 2·y
Number of tractors at the third station = z + z = 2·z
After the second transaction, we get;
Number of tractors at the first station = 2·x - 2·y - 2·z
Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z
Number of tractors at the third station = 2·z + 2·z = 4·z
After the third transaction, we get;
Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z
Number of tractors at the second tractor station = 6·y - 2·x - 2·z
Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y
The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)
6·y - 2·x - 2·z = 24...(2)
7·z - x - y = 24...(3)
Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;
12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24
16·y - 8·x = 24...(4)
Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;
14·z - 2·x - 2·y = 48
42·y - 14·x - 14·z = 168
42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168
40·y - 16·x = 216...(5)
Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;
40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168
8·y = 168
y = 168/8 = 21
The number of tractors initially at the second station, y = 21
16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24
8·x = 16 × 21 - 24 = 312
x = 312 ÷ 8 = 39
The number of tractors initially at the first station, x = 39
7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24
7·z = 24 + 39 + 21 = 84
z = 84/7 = 12
The number of tractors initially at the third station, z = 12
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A box contains 20 packets of potato chips. 6 packets contain barbecue flavoured chips. 10 packets contain salt flavoured chips. 4 packets contain chicken flavoured chips. Maria takes two packets at random without replacement. Show that the probability that she takes two packets of salt flavoured chips is 9/38
The probability that Maria takes two packets of salt flavoured chips is 9/38 can be shown by considering the number of ways Maria can select two packets.
The total number of ways Maria can select two packets from the 20 packets is:
C(20, 2) = (20!)/(2!(20-2)!) = 190
The number of ways Maria can select two packets of salt flavoured chips is:
C(10, 2) = (10!)/(2!(10-2)!) = 45
Therefore, the probability that Maria takes two packets of salt flavoured chips is:
45/190 = 9/38
Hence, the probability that Maria takes two packets of salt flavoured chips is 9/38.
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Which table of ordered pairs represents a proportional relationship
I'm in fourth grade and I need help please :(
Answer:
She will run 4.95 miles
Step-by-step explanation:
Since she will run 1.1 times the amount, you multiply this by the previous value:
4.5 miles x 1.1 = 4.95 miles
3x + 4 = x + 12
Solve each equation. Write the properties that justify each step
Answer:
x=4
Step-by-step explanation:
3x+4=x+12
-4 -4
3x=x+8
-x -x
2x=8
/2 /2
x=4
Select the correct answer.
What is the value of x in the triangle?
Answer:
see below
Step-by-step explanation:
attached
William Beville's Computer Training School in Richmond stocks notebooks for sale and would like to reduce its inventory cost by determining the optimal number of notebooks to order in each order. The ordering cost for each order is $27. The annual demand is 19455 units. The annual cost of holding each unit is $6. Each notebook costs $12. The school has a year of 250 working days. When a new order of notebooks is made, the supplier takes 4 days to deliver it.1. What inventory management model should we use to solve this problem?
Model Economic Quantity to Order
Model for discount purchases
Model Economic Quantity to Produce
Model to handle dependent demand
2. What is the optimal number of notebooks to make in each order? 3. What is the annual ordering cost (AOC)? 4. What is the Annual Holding Cost (AHC)? 5. What is the annual product cost (APC)? 6. What is the annual total cost of managing inventory (ATC) 7. What would be the total number of orders in the year (N)? 8. What would be the estimated time between each order (T)? 9. What is the daily demand? 10. What is the reorder point (ROP)? ____
units.
The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.
The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.
To find the optimal number of notebooks to make in each order, we can use the EOQ formula:
EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]
EOQ = √[(2 * 19455 * 27) / 6]
EOQ ≈ 589.96
Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.
The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:
AOC = (Demand / EOQ) * Ordering Cost
AOC = (19455 / 590) * 27
AOC ≈ $892.20
The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:
AHC = EOQ * Holding Cost
AHC = 590 * 6
AHC = $3540
The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:
APC = Demand * Cost per unit
APC = 19455 * 12
APC = $233,460
The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:
ATC = AOC + AHC + APC
ATC = 892.20 + 3540 + 233460
ATC ≈ $237,892.20
The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:
N = Demand / EOQ
N = 19455 / 590
N ≈ 33
The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:
T = Number of working days / N
T = 250 / 33
T ≈ 7.58 days
The daily demand is calculated by dividing the annual demand by the number of working days in a year:
Daily Demand = Demand / Number of working days
Daily Demand = 19455 / 250
Daily Demand ≈ 77.82 units/day
The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):
ROP = Daily Demand * Lead Time
ROP = 77.82 * 4
ROP ≈ 311.28 units
Therefore, the reorder point would be approximately 311 units.
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Evita paid $2,408.91 in interest. what was the selling price of the car? $12,845.52 $17,127.07 $19,000.00 $21,408.91
The selling price of the car is $19,000.00
What is Selling Price?This refers to the given amount of money that a customer is willing to pay for a product or the service.
Given that the all payment plan for three years is:
$356.82 +
$356.82 +
$356.82
= $1,070.46
The interest paid by Evita over all three years is $2,408.91 x 3
= $7,226.73
Hence, we can see that the question is in incomplete form but because there is a 25.36% interest rate, then we get selling price as $19,000
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Answer:
$19,000.00
Step-by-step explanation:
Approximate the area under the graph of F(x)=0.2x³+2x²-0.2x-2 over the interval (-9,-4) using 5 subintervals. Use the left endpoints to find the height of the rectangles.
To approximate the area under the graph of the function F(x) = 0.2x³ + 2x² - 0.2x - 2 over the interval (-9, -4) using 5 subintervals and left endpoints, we can use the left Riemann sum method. The total area under the graph of F(x) over the interval (-9, -4).
To approximate the area using the left Riemann sum method, we start by dividing the interval (-9, -4) into 5 subintervals of equal width. The width of each subinterval can be calculated as (b - a) / n, where b is the upper limit of the interval (-4), a is the lower limit of the interval (-9), and n is the number of subintervals (5 in this case).
Next, we evaluate the function F(x) at the left endpoint of each subinterval to find the height of the rectangles. For the left Riemann sum, the left endpoint of each subinterval is used as the height. In this case, we evaluate F(x) at x = -9, -7, -5, -3, and -1.
Once we have the width and height of each rectangle, we can calculate the area of each rectangle by multiplying the width and height. Finally, we sum up the areas of all the rectangles to approximate the total area under the graph of F(x) over the interval (-9, -4).
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The equation of a line is given below.
6x+2y=4
Find the slope and the y-intercept. Then use them to graph the line
Hence, in answering the stated question, we may say that We can travel slope intercept down 3 units and right 1 unit to acquire another point on the line because the slope is -3.
what is slope intercept?The intersection point in mathematics is the point on the y-axis where the slope of the line intersects. a point on a line or curve where the y-axis intersects. The equation for the straight line is Y = mx+c, where m represents the slope and c represents the y-intercept. The intercept form of the equation emphasises the line's slope (m) and y-intercept (b). The slope of an equation with the intercept form (y=mx+b) is m, and the y-intercept is b. Several equations can be reformulated to seem to be slope intercepts. When y=x is represented as y=1x+0, the slope and y-intercept are both set to 1.
We must solve for y in order to find the slope-intercept form of the equation:
6x + 2y = 4
2y = -6x + 4
y = -3x + 2
As a result, the slope is -3 and the y-intercept is 2.
To graph the line, first plot the y-intercept at the point (0, 2). The slope can then be used to find another point on the line. We can travel down 3 units and right 1 unit to acquire another point on the line because the slope is -3.
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What is 2/3÷1/6?
A) 2
B) 3
C) 4
D)6
Answer:
c
Step-by-step explanation:
Mari's dad paid $23.79 to fill up his car with gas. Mari's mom paid $27.39 to fill up her car with gas. Mari's dad pald
than Mari's mom.
Less or more
Answer:
Mari's mom paid more than Mari's dad.
Step-by-step explanation:
Mari's mom paid $27.39. This is a bit more than $27.
Mari's dad paid $23.79. This is a bit more than $23.
Since $27 > $23, then $27.39 > $23.79.
Mari's mom paid more than Mari's dad.
Answer:
Mari's dad paid less than Mari's mom.
Step-by-step explanation:
23.79 is less than 27.39
Hope it helped!
math.....................................
Based on the box plot concept and the available options, the box plot that correctly represents the data is option A.
What is Box Plot?Box plot is a term that is used to describe the box and whisker plot which shows the five-number summary of a set of data.
Generally, this five-number summary is the minimum, first quartile, median, third quartile, and maximum.
Therefore, to get the right box plot we have the following steps.Make a box plot of the data.
Step 1: Order the data from smallest to largest. We have 52, 54, 56, 58, 60, 62, and 64Step 2: Find the median. The median is the middle number: 58Step 3: Find the quartiles. The first quartile is the median of the data points to the left of the median: 54. The third quartile is the median of the data points to the right of the median: 62Step 4: Complete the five-number summary by finding the min and the max. The min is the smallest data point, which is 52. The max is the largest data point, which is 64The five-number summary is: 52, 54, 58, 62, 64.Let's make a box plot for the same dataset from above.
Step 1: Scale and label an axis that fits the five-number summary.
Recall that Q1 = 54, the median is 58, and Q3 = 62
Also, the min is 52 and the max is 64.
Therefore, when we draw the box from Q1 to Q3 and from Q1 to the min, and from Q3 to the max, we have option A as the answer.
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Do you find this with synthetic and long divison?
Answer:
p=-2
Step-by-step explanation:
we can solve by both methods
if it is divisible by x-1,then remainder is zero.
i solve by synthetic division.
x-1=0,x=1
1 | 1 -1 p 2
| 1 0 p
_________
1 0 p |2+p
Here 2+p is remainder.
p+2=0
p=-2
Suppose A, B and C are square matrices.
(1) A is similar to A.
(2) If A is similar to B, then B is similar to A.
(3) If A is similar to B and if B is similar to C, then A is similar to C.
All the Options (1, 2, 3) are correct i.e., A is always similar to A. and If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.
Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.
Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.
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A new cell phone is introduced into the market. It is predicted that sales will grow logistically. The manufacturer estimates that they can sell a maximum of 90 thousand cell phones. After 27 thousand cell phones have been sold, sales are increasing by 7 thousand phones per month. Find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (in thousands) sold after t months.
The differential equation that describes the cell phone sales, where y(t) is the number of cell phones sold after t months is
dy/dt=0.159(1-y/90).
Given that the maximum that the manufacturer can sell is 90000 cell phones and after 27000 cell phones have been sold the sales are increasing by 7000 phones per month.
We are required to form a differential equation that shows the cell phone sales.
dy/dt=ry(1-y/90)-------1
D3=27r(1-27/90)
3=27r(7/10)
r=3*10/27*7
r=0.1583
Using the value of r in 1 to get the equation
dy/dt=0.159y(1-y/90)
Hence the differential equation that describes the cell phone sales, where y(t) is the number of cell phones sold after t months is dy/dt=0.159(1-y/90).
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if you can, please tell how you solved !
Answer:
sorry don't know answer