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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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OOOO
lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

x^4+95x^2 -500=0

Substituting x^2=a, given bi-quadratic equation reduces in the form of following quadratic equation:

a^2 +95a -500=0\\

Let us factorize the above quadratic equation:

a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\

Since square root of a negative number cannot be found, so:

x \neq \pm \sqrt{-100}\\

CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\

3 0
3 years ago
Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group
vredina [299]

Answer:

x = $59.85

Step-by-step explanation:

100% = $63

95% = x

100x = 95*63

100x = 5985

x = $59.85

4 0
3 years ago
If vector u = &lt;-3.5, -1.5&gt; and vector v = &lt;-1.25, 2.25&gt;, which graph shows the resulting vector for 2v − u?
Sedaia [141]

Answer:

D

Step-by-step explanation:

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

8 0
3 years ago
Michael took his science test today and got a 14/16. What grade did he receive in total A/B/C??
In-s [12.5K]
He received an 87.5
5 0
3 years ago
What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.
Whitepunk [10]

Answer:

1/84

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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