"The product" immediately suggests multiplication; we're going to be multiplying two quantities together, "3" and "a number minus 7"
"A number" just describes an unknown value, so we'll pick the letter n to be that unknown in our expression. "A number minus 7" then could be written as n - 7.
We can now write the product of 3 and (n - 7) as the expression
3 × (n - 7)
The expression that represents 'the product of 3 and the quantity of a number minus 7' can be written in algebra as 3*(x - 7). Here, x is our variable and can be any number.
The student is asking for an expression that represents 'the product of 3 and the quantity of a number minus 7'. In terms of algebra, this can be expressed in the following way: assuming the 'number' is represented by a variable, like x, we can write it as 3*(x - 7).
This mathematical expression says that we first subtract 7 from our number, x, and then multiply the result by 3.
For example: if x is 10, we would first calculate 10 - 7, which is 3, and then multiply that result by 3, yielding a final product of 9.
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The expression for total number of points gained = 2x+17
Points earned for completing x levels = 4x+12.......(1)
Points lost in the video game = - (2x-5) [negative as they are lost]......(2)
Total Points gained = Algebraic sum of equation 1 and equation 2 =
(4x+12) + {- (2x-5) }
Hence the expression for net points earned now = 4x+12 -2x +5 = 2x+17
For more information about algebraic sum refer to the following link
The volume of the water in the bottle is approximately 0.078 liters.
We have,
To find the volume in liters of water in the bottle, we can use the given information that 1 liter of water has a mass of 1 kg.
We are given that the water in the bottle has a mass of 78 g.
To find the volume, we can set up a proportion using the known mass-volume relationship:
1 liter : 1 kg = x liters : 78 g
To solve for x (the volume in liters), we need to convert the mass of the water in the bottle to kilograms.
Since 1 kg is equal to 1000 g, we can divide the given mass by 1000:
78 g / 1000 = 0.078 kg
Now, we can set up the proportion:
1 liter : 1 kg = x liters : 0.078 kg
Cross-multiplying:
1 liter x 0.078 kg = x liters x 1 kg
0.078 liters = x liters
Therefore,
The volume of the water in the bottle is approximately 0.078 liters.
Learn more about expressions here:
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Answer:
miles
Step-by-step explanation:
In the figure, let P be yours house and Q be your's friend's house. Let R be the movie store.
Note that the distance from your house and to your house on Street C is 3 miles.
The distance from your house and to the move store on Street A is 1 mile.
Now, the distance from the move store to your friend's house is the hypotenuse of the right triangle ΔPQR.
The distance from the move store to your friend's house is RQ.
In the right triangle ΔPQR,
=
= 10
Hence, the distance from the move store to your friend's house is miles.
Answer:
2.83 miles
Step-by-step explanation:
got it right on ttm
Answer:
The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.
Other part is:
different given events
P(A|D) equals 2/10
P(D|A) equals 2/8