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rjkz [21]
3 years ago
9

A family took a road trip that required them to drive 560 miles. Mom, Dad, and their oldest son, Alex, took turns driving. Dad d

rove twice as far as mom and 60 miles more than Alex. How far did Dad drive
Mathematics
1 answer:
never [62]3 years ago
4 0

Answer: 248 miles

Step-by-step explanation: The equation is x+2x+2x-60 where x is the mom and 2x is Dad and since dad drove 60 miles more than alex then Alex drove 60 miles less than dad so 2x -60 is alex. Altogether x+2x+2x-60 = 560 total miles driven and solved is x = 124 however x is just the mom. The dad drove twice as much so we have to double 124 or multiply by 2 to get the amount The dad drove which is 124*2= 248 miles

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Graph the solution of the inequality. v−4≥−9
nlexa [21]

Answer:

v\geq -5

Step-by-step explanation:

4 0
3 years ago
What is the product of 10/2x300
Yuri [45]

Answer:

1/60

Step-by-step explanation:

5 0
3 years ago
Please help with this question?!?
erik [133]

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

<em>Remember to find the area it is length x width</em>

  1. 9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottom
  2. Lastly for the last 2 squares to find the area you multiply 8 x 8 = 64
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3 0
3 years ago
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon
motikmotik

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

  • Simon has more money than Kande

               S > K

  •  if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

  • While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

3 0
3 years ago
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
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