Answer:
17........ hope its helpful
Step-by-step explanation:
⇒2x+2y=14⇒2x+2y=14 or x+y=17x+y=17
Answer:
xcvbnm
Step-by-step explanation:
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The required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x.
Let the total earnings of Antonia for a day be y,
According to the question,
y = 20 + 5.5x
Now,
Antonio earned $157.50 on Friday.
157.50 = 20 + 5.5x
Thus, the required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.
Learn more about models here:
brainly.com/question/22591166
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Answer:
He served 25 tables
Step-by-step explanation:
Do..
£157.50 - £20 (as he gets this daily) = £137.50
£137.50 ÷ £5.50 = number of tables he served = 25 tables
Hope this helped
To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.
The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.
Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).
To find the x and y coordinates of that point, we would calculate it as follows:
As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.
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To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).
To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:
x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8
y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1
So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).
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Answer:
340 square feet
Step-by-step explanation:
If we "unwrap" the painted surface from the shed, it will have the shape shown in the attachment. It is essentially a 40' by 8' rectangle with two 10' wide by 2' high triangles added.
The rectangle area is ...
A = LW = (40 ft)(8 ft) = 320 ft²
The total area of the two triangles is ...
A = 2(1/2)bh = (10 ft)(2 ft) = 20 ft²
Then the painted area is ...
total area = 320 ft² +20 ft²
total area = 340 ft²
Answer:
The three-digit numbers with these properties are 850 or 941.
Step-by-step explanation:
Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that . The second condition is:
the original number is while the reversed number is
so
Now we have the system
You can divide by 99 to simplify the second equation.
Note that x, y, z must be digits between 0 and 9 and . If
, then the second equation forces
, for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.