The equation becomes 4610 = 2115, which is not true.
Let's break down the given equation and the steps to solve it step by step:
Given the equation: 47 × 98
Step 1: Express 98 as a combination of (47)'s and (2)'s. (98) can be written as (47 × 2).
Step 2: Substitute the expression for 98 in terms of 47 and 2 back into the equation:
47 × 98 = (47 × 47) - (2 × 47)
Step 3: Calculate the values on both sides of the equation.
- The left side: 47 × 98 = 4610.
- The right side:
- 47 × 47 = 2209
- 2 × 47 = 94
- Subtracting 94 from 2209 gives 2115.
Explanation:
1. We start with the equation 47 × 98, where 98 is represented as 47 × 2.
2. We substitute 98 in terms of 47 and 2 to get (47 × 47) - (2 × 47).
3. We calculate the values on both sides of the equation to find that they don't match. This indicates that the original equation is not true.
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Answer:
The answer to your question is:
2 and -49
Step-by-step explanation:
2 x -49 = -98
2 + (-49) = -47
x2 - 47x - 98 = 0
The solution to factor the quadratic equation above is:
(X + 2 ) (X - 49)
Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:
x2 - 47x - 98 = (X + 2 ) (X - 49)
The each bottle of juice cost $ 7.55 before tax .
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Grayson bought bag of popcorn (P)= $3.50
Five pack of juice bottles.
The total cost before tax was $11.05.
According to given question we have
Let the cost of the juice bottles be x.
P+ x= $11.05.
$3.50+x=$11.05
x=$11.05-$3.50
x=$ 7.55
Therefore, the each bottle of juice cost $ 7.55 before tax .
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The question is about finding the cost of each bottle of juice. The cost of the juices was found by subtracting the cost of popcorn from the total amount. Each bottle of juice cost $1.51.
To solve this problem, we need to first determine how much was spent on the juice. We know that Grayson spent $11.05 in total and that the popcorn cost $3.50. By subtracting the cost of the popcorn from the total spent, we will find out how much Grayson spent on the juice.
Step 1: Subtract the cost of the popcorn from the total amount spent: $11.05 - $3.50 = $7.55. This is how much was spent on the juice bottles.
Step 2: We know that there are five juice bottles in the pack. To find out the cost of each juice bottle (J), we divide the total cost of the juice by the number of bottles in the pack: $7.55 / 5 = $1.51.
So, the equation which determines J, the cost of each juice bottle, is $3.50 + 5J = $11.05. Solving this equation gives J = $1.51.
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Answer: The required equation of the ellipse in standard form is
Step-by-step explanation: We are given to find the equation of an ellipse in standard form with the vertical major axis of length 10 units and minor axis of length 8 units.
Since the major axis is vertical, so it will lie on the Y-axis. Let the standard form of the ellipse be given by
where the length of major axis is 2a units and length of minor axis is 2b units.
According to the given information, we have
and
Substituting the values of a and b in equation (i), we get
Thus, the required equation of the ellipse in standard form is
7 is the factor of 14 and 7 has 14 as its multiple.
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Given:
We have the Number 14.
So, the factors of 14 = 1, 2, 7, 14.
and, 7 can act as factor of 14.
also, 7 has multiple 14.
Hence, 7 is the required number.
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Answer:
7 is both a factor and a multiple
What is the height of the tower (h)?
The height of the tower (h) is approximately 186.4 feet.
A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
Given the data in the quesion;
We can set up a proportion to solve for the height of the tower:
Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow
Plugging in the values we know, we get:
5.5 / 9 = h / 305
To solve for h, we can cross-multiply and simplify:
9h = 5.5 × 305
9h = 1667.5
h = 1667.5 / 9
h = 186.4 ft
Therefore, the value of h is 186.4 feet.
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FIFO Method, Valuation of Goods Transferred Out and Ending Work in Process
K-Briggs Company uses the FIFO method to account for the costs of production. For Crushing, the first processing department, the following equivalent units schedule has been prepared:
Direct Materials Conversion Costs
Units started and completed 28,000 28,000
Units, beginning work in process:
10,000 × 0% — —
10,000 × 40% — 4,000
Units, ending work in process:
6,000 × 100% 6,000 —
6,000 × 75% — 4,500
Equivalent units of output 34,000 36,500
The cost per equivalent unit for the period was as follows:
Direct materials $2.00
Conversion costs 6.00
Total $8.00
The cost of beginning work in process was direct materials, $40,000; conversion costs, $30,000.
Therefore , the solution of the given problem of unitary comes out to be price of terminating the work-in-progress inventory is $12,000 + $27,000 = $39,000.
Applying what was learned, using this variable approach, and combining all relevant data from two individuals who used a particular tactic will enable completion of the task. The entity indicated in the formula will either also be recognized, or both crucial processes integers will honestly disregard the colour, if the preferred assertion outcome materialises. A refundable fee of Rupees ($1.21) may be necessary for fifty pencils.
Here,
The cost of goods transferred out of Crushing would be determined using the FIFO method in the manner shown below:
Units started and completed plus equivalent units in the ending work-in-process inventory equal equivalent units of output completed.
=> Completed equivalent units = 28,000 + 6,000 100%
34,000 completed units of output are equivalent.
Cost of goods shipped out equals Cost per equivalent unit minus the number of completed equivalent units of output.
=> ($2.00 + $6.00) * 34,000 equals the cost of the goods transferred out.
Transfer of Goods Cost:
=> $8.00 x 34,000
$272,000 is the cost of transferring the products.
We must multiply the equivalent units in the ending work in process inventory by the cost per equivalent unit in order to determine
the expense of ending work in process inventory:
=>Direct materials: 6,000 units x 100% of 6,000
Direct material costs for ending work-in-progress inventory are $2.00 multiplied by 6,000 to equal $12,000
=> Costs of conversion: 6,000 x 75% = 4,500 units.
Cost of conversion costs in ending work in progress inventory = $6.00 divided by 4,500 equals $27,000.
The price of terminating the work-in-progress inventory is therefore $12,000 + $27,000 = $39,000.
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Answer: plant → grasshopper → spider → frog → lizard → fox → hawk.
This is just one food chain that shows the sider and the lizard in the same foodchain. The frog eats the spider, and the lizard eats the frog.
Step-by-step explanation: