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Luba_88 [7]
3 years ago
11

George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil

ometers in total and they biked 80 kilometers more than they bussed let x= kilometer traveled by biked and y= kilometer traveled by bus. Find how many kilometer the traveled by bike?
Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>

<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>

Thus George and Carmen biked for 215 km and bussed for 135 km.
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Step-by-step explanation:

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Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of
Arturiano [62]

Answer:

y =  \frac{1}{8} x - 2  \frac{1}{4}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

- 2 =  \frac{1}{4}  + c

c =  - 2 -  \frac{1}{4}

c =  - 2 \frac{1}{4}

Thus, the equation of line q is y =  \frac{1}{8} x - 2 \frac{1}{4}.

4 0
2 years ago
4. Identify the conclusion of the following conditional: A number is divisible by 3 if the sum of the digits of the number is di
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4 0
3 years ago
Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How ma
zepelin [54]

Answer:

6.3 km.

Step-by-step explanation:

The question asks for kilometers, so all amounts have to be calculated in the same units -- kilometers.

Convert meters to kilometers.

600 m = .6 km

700 m = .7 km.

Add the amounts:

Fri.:       .6 km

Sat.     3 km

Sun.:   2.7 km.

--------------------------------

6.3 km.

6 0
2 years ago
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