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Zielflug [23.3K]
3 years ago
9

Four different roads from Town A to Town B, and three different roads run from Town B to Town C. Two roads also run from Town A

to Town C, bypassing Town B.
How many different round trips can you make from Town Ato Town Cand back?
81
182
196
Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

196

Step-by-step explanation:

To solve this, I broke it down into two parts.

A. Number of routes going to Town C

4 x 3 + 2 = 14

B. Number of routes going back to Town A

3 x 4 + 2 = 14

From here, it is easy to see what to do. Since there are 14 routes going to Town C and 14 routes going back, the answer is 14 x 14 = 196.

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What is the solution to this system of equations? 2t + w = 10 4t = 20 − 2w A. It has no solution. B. It has infinite solutions.
joja [24]

Answer:

<h3>B. It has infinite solutions</h3>

Step-by-step explanation:

Given the system of equations:

2t + w = 10 ..... 1

4t = 20 − 2w ... 2

From 1:

w = 10-2t ...3

Substitute 3 into 2 to have;

4t = 20 - 2(10-2t)

4t = 20-20+4t

4t = 4t

Let t = k

Substitute t = k into 1 and get w;

From 1: 2t + w = 10

2k + w =10

w = 10 - 2k

<em>k can take any integers. This shows that the solution to the equation is infinite</em>

<em></em>

7 0
3 years ago
The table shows the distance Shannon ran over a week.
Sedbober [7]

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

  • Distance run on Friday = 4/2 = 2 km
  • Distance run on Saturday = 1/2 = 0.5 km

  • In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

8 0
3 years ago
6x+4=5x-6 what is the solution for it
Oksi-84 [34.3K]

Answer:

x=-10

Step-by-step explanation:

6x+4=5x-6

Subtract 5x from each side

6x-5x+4=5x-5x-6

x +4 = -6

subtract 4 from each side

x+4-4 = -6-4

x=-10

8 0
3 years ago
Read 2 more answers
Melissa has ridden 51 miles of a bike course they course is 60 miles long what percentage of the course has Melissa ridden so fa
evablogger [386]

Answer:

299999929132

Step-by-step explanation:

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7 0
4 years ago
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli
solniwko [45]

Answer:

Step 4

part a: no answer yet still having trouble showing my work

part b:

-0.125(x-24)^2+50

-0.125(x-24)(x-24)+50

-0.125(x^2-24x-24x+576)+50

-0.125(x^2-48x+576)+50

-0.125x^2+6x-75+50

-0.125x^2+6x-22

a=-0.125

b=6

c=-22

part c: yes he went through

part d:

plug in roots (4,0) and (44,0)

if x is 4 and y is 0

0=-0.125(4)^2+6(4)-22

0=-2+24-22

0=-2+2

0=0

if x=44 and y=0

0=-0.125(44)^2+6(44)-22

0=-242+264-22

0=-242+242

0=0

5 0
3 years ago
Read 2 more answers
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