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Bogdan [553]
2 years ago
8

Translate this sentence into an equation. 40 is the sum of 21 and ricks age? use the variable are to represent ricks age.

Mathematics
1 answer:
tamaranim1 [39]2 years ago
5 0

Answer:

40=21+x

Explanation:

x= Rick's age

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Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer
Finger [1]
Use Pythagorus theorem: 

a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c 
20=c 

Therefore, the hypotenuse would be 20 ft. 

Hope I helped :) 
8 0
2 years ago
You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto
jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

Total charges by Prestige Car rentals = $47 + $0.07x

Charges for one mile by Gateway Auto = $0.12

Charges for x miles by Gateway Auto = $0.12x

Total charges by Gateway Auto = $35 + $0.12x

As per question statement, the charges are same:

\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}

4 0
2 years ago
What’s the distance between (5,1)and(3,6)
laiz [17]

<u>How to Find the Distance Between Two Points</u>

Distance formula: d(P, Q) =√(x2 − x1)^2+(y2 − y1)^2

If you use this equation the answer will be 5.

4 0
3 years ago
Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.
leonid [27]

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = \frac{8-6}{-2-4} = \frac{2}{-6} = - \frac{1}{3}

6 0
2 years ago
20= -x + (x squared)<br><br> solve for x
MArishka [77]

Answer:

Step-by-step explanation:

x = 5

x= -4

3 0
2 years ago
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