The number of pay-per-view movies that would generate an equal monthly bill from both E-Z View cable company and View the Best company is 15 movies. This is found by setting up and solving a linear equation based on the monthly charges of each company.
This question is about using linear equations to solve a real-world problem. Let's say 'x' is the number of pay-per-view movies. Therefore, we can form two equations:
To find the number of pay-per-view movies that would make the two monthly costs equal, set the two equations equal to each other and solve for x.
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Answer:
Option C. 140
Step-by-step explanation:
Base of a pyramid which has four triangular sides is four sided.
If pyramid contains seven layers of oranges then the layer at the bottom will have 7 oranges.
Since base is a square then other side of the square base will have the same number of oranges = 7.
Therefore number of oranges at the first layer will be = 7×7
Similarly other layers above this layer will have the same sequence
6×6, 5×5, 4×4, 3×3, 2×2, 1×1
Therefore total number of oranges = 7×7 + 6×6 + 5×5 + 4×4 + 3×3 + 2×2 + 1×1 = 49 + 36 + 25 + 16 + 9 + 4 + 1 = 140
Option C. 140 is the answer.
A grocer stacks oranges in a four-sided pyramid that is 7 layers high. Many oranges are in the pile are C.140
The orange is the fruit of the citrus species Citrus and sinensis in the family Rutaceae, native to China. Orange is also called sweet orange, to distinguish it from the related Citrus and aurantium, referred to as bitter orange.
The proper name of four-sided pyramid is a "tetrahedron". The tetrahedron has the extra interesting property of having all four triangular sides congruent
1st Layer: The 1st layer contains only 1 orange so it has only 1 orange
2nd layer: The 2nd layer has total 4 oranges. Calculation:
3rd layer: The 3rd layer has total 9 oranges. Calculation:
4th Layer: The 4th layer has total 16 oranges. Calculation: .
5th layer: The 5th layer has total 25 oranges. Calculation:
6th layer: The 6th layer has total 36 oranges. Calculation:
7th layer: The 7th layer has total 49 oranges. Calculation: .
Sum of all layers:
Grade: 9
Subject: mathematics
Chapter: pyramid
Keywords: oranges, pyramid, four-sided, layers, pile
Answer:
57/18 or 3 1/6
Step-by-step explanation:
Step 1:
5 7/10 × - 5/9 Equation
Step 2:
57/10 × - 5/9 Change to Improper Fraction
Answer:
57/18 or 3 1/6
Hope This Helps :)
Answer: 1 inch= 25 miles
Step-by-step explanation:
Given : The actual distance from Washington to Fairview is 250 miles.
On a map, the distance from Washington to Fairview is shown as 10 inches.
It means , 10 inches on map shows 250 miles.
Applying unitary method, 1 inch on map will show =
i.e 1 inch on map will show =
Hence, the map’s scale is 1 inch= 25 miles.
Answer:
line of symmetry
Step-by-step explanation:
The term that represents a design divided so that every point on one side coincides with a point on the other side is known as symmetry. This involves an axis of symmetry dividing the design into two contrasting fields.
The concept in question is commonly known as symmetry, and it is often a key factor in design and visual arts. In a symmetrical design, every point on one side of the line, often referred to as the axis of symmetry, coincides with a corresponding point on the other side. This alignment creates a mirroring effect, dividing the entire design into two contrasting fields, like images divided on a poster. For instance, if you have a vertical line dividing a rectangle directly down the middle, and you have a circle on the left side of the line, a symmetrical design would have a corresponding circle on the right side.
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m<1+m<2+m<3=180
m<2+ m<4=180
<2=<3
<2=<4
m<3=m<4
Answer:
Step-by-step explanation:
Let's analyze each statement and classify them as always true, sometimes true, or never true based on the figure provided:
1. m<1+m<4=180:
This statement is always true. In the figure, angles 1 and 4 are vertical angles, which means they are congruent. Therefore, m<1 = m<4, and their sum is always equal to 180 degrees.
2. m<1+m<2+m<3=180:
This statement is never true. In the figure, angles 1, 2, and 3 do not form a straight line. Therefore, the sum of m<1, m<2, and m<3 cannot be equal to 180 degrees.
3. m<2+ m<4=180:
This statement is sometimes true. In the figure, angles 2 and 4 are adjacent angles, and their sum can be equal to 180 degrees if they form a straight line. However, if angles 2 and 4 do not form a straight line, their sum will be less than 180 degrees.
4. <2=<3:
This statement is never true. In the figure, angles 2 and 3 are not congruent. Therefore, <2 is not equal to <3.
5. <2=<4:
This statement is sometimes true. In the figure, angles 2 and 4 can be congruent if they are vertical angles. However, if they are not vertical angles, they will not be congruent.
6. m<3=m<4:
This statement is always true. In the figure, angles 3 and 4 are vertical angles, which means they are congruent. Therefore, m<3 = m<4.
To summarize:
- Statement 1 is always true.
- Statement 2 is never true.
- Statement 3 is sometimes true.
- Statement 4 is never true.
- Statement 5 is sometimes true.
- Statement 6 is always true.