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Mademuasel [1]
2 years ago
10

Albert's house, Billy's house and the candy store form a triangle as shown below. If Albert's house is 3 miles from the candy st

ore, what is the range of values for the distance between Albert's house and Billy's house?

Mathematics
1 answer:
lora16 [44]2 years ago
8 0

5-3 < X < 3+5

Step-by-step explanation:

its a its just a a a a a a a

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A customer requires a car service for 80 miles,
Xelga [282]

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

8 0
3 years ago
The triangles below are similar. What is the value of x ?
Mandarinka [93]

Answer:

Step-by-step explanation:

Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation

\frac{AD}{AB} =\frac{DE}{BC}

\frac{2}{6} = \frac{x}{12}

6x = 24\\x=4

Thus the value of x is 4

7 0
2 years ago
Evaluate.<br> 25/5+7-(4x3)
navik [9.2K]
Using PEMDAS, we know that we must solve what’s in the perentheses first so: 25/5 + 7 - (4x3) = 25/5 + 7-12. Next, we simplify 25/5 because that is division so now it is 5+7-12. Now you add 7 to 5 to get 12 and then subtract 12 so your answer is now zero.
7 0
2 years ago
There is a six sided polygon in which the first side is a line, the second side is a line segment, the third side is an arrow wh
Phantasy [73]
I need points Thanks
6 0
3 years ago
½ (6x + 8) = 2x + 4 + x
bearhunter [10]

Answer:

True

Step-by-step explanation:

Both sides (right side and left side) of the equation are indeed equal.

I hope this helps!

5 0
3 years ago
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