1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lys-0071 [83]
2 years ago
13

There are 5 roads from Allen to baker, 7 roads from baker to Carlson, and 4 roads from Carlson to dodge. How many different rout

es from Allen to dodge by way of baker and Carlson are possible?
Mathematics
2 answers:
Basile [38]2 years ago
6 0

Answer:

140 routes

Total Number of roads from allen to dodge through baker and Carlson is 140 routes.

Step-by-step explanation:

Given;

Number of roads from Allen to baker = 5

Number of roads from baker to Carlson = 7

Number of roads from Carlson to dodge = 4

Total Number of routes from allen to dodge through baker and Carlson is;

N = 5×7×4

N = 140 routes

Lapatulllka [165]2 years ago
3 0

Answer:

140 different routes

Step-by-step explanation:

The first path (Allan to Baker) has 5 different options, so there are 5 possibilities. After that, there are 7 possibilities from Baker to Carlson. Then, there are 4 possibilities from Carlson to Dodge. To find the total number of possibilities, we just need to multiply the number of possibilities of each track, so:

5 * 7 * 4 = 140 possibilities, that is, 140 different routes.

You might be interested in
-0.5x=3.6<br><br> F. -72<br> G. -7.2<br> H. 7.2<br> I. 72
masya89 [10]

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

8 0
2 years ago
Please solve these four equations a) x/3=x+4 b) m-3=4/5m-2 c) x/5-4=2-2x/5 d) 1/2+w=8-3w/2
Ilia_Sergeevich [38]
I hope these help you

A)

<span>x3</span>=<span>x+4</span>Step 1: Simplify both sides of the equation.<span><span><span>13</span>x</span>=<span>x+4</span></span>Step 2: Subtract x from both sides.<span><span><span><span>13</span>x</span>−x</span>=<span><span>x+4</span>−x</span></span><span><span><span><span>−2</span>3</span>x</span>=4</span>Step 3: Multiply both sides by 3/(-2).<span><span><span>(<span>3<span>−2</span></span>)</span>*<span>(<span><span><span>−2</span>3</span>x</span>)</span></span>=<span><span>(<span>3<span>−2</span></span>)</span>*<span>(4)</span></span></span><span>x=<span>−6</span></span>Answer:<span>x=<span>−6</span></span>

B)

<span><span>m−3</span>=<span><span><span>45</span>m</span>−2</span></span>Step 1: Subtract 4/5m from both sides.<span><span><span>m−3</span>−<span><span>45</span>m</span></span>=<span><span><span><span>45</span>m</span>−2</span>−<span><span>45</span>m</span></span></span><span><span><span><span>15</span>m</span>−3</span>=<span>−2</span></span>Step 2: Add 3 to both sides.<span><span><span><span><span>15</span>m</span>−3</span>+3</span>=<span><span>−2</span>+3</span></span><span><span><span>15</span>m</span>=1</span>Step 3: Multiply both sides by 5.<span><span>5*<span>(<span><span>15</span>m</span>)</span></span>=<span><span>(5)</span>*<span>(1)</span></span></span><span>m=5</span>Answer:<span>m=5</span>

C)

<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span> <span>Simplify: (Show steps)</span> <span><span><span><span>15</span>x</span>−4</span>=<span><span><span><span>−2</span>5</span>x</span>+2</span></span>Step 2: Add 2/5x to both sides.<span><span><span><span><span>15</span>x</span>−4</span>+<span><span>25</span>x</span></span>=<span><span><span><span><span>−2</span>5</span>x</span>+2</span>+<span><span>25</span>x</span></span></span><span><span><span><span>35</span>x</span>−4</span>=2</span>Step 3: Add 4 to both sides.<span><span><span><span><span>35</span>x</span>−4</span>+4</span>=<span>2+4</span></span><span><span><span>35</span>x</span>=6</span>Step 4: Multiply both sides by 5/3.<span><span><span>(<span>53</span>)</span>*<span>(<span><span>35</span>x</span>)</span></span>=<span><span>(<span>53</span>)</span>*<span>(6)</span></span></span><span>x=10</span>Answer:<span>x=<span>10

D)
 </span></span>
<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span> <span>Simplify: (Show steps)</span> <span><span>w+<span>12</span></span>=<span><span><span><span>−3</span>2</span>w</span>+8</span></span>Step 2: Add 3/2w to both sides.<span><span><span>w+<span>12</span></span>+<span><span>32</span>w</span></span>=<span><span><span><span><span>−3</span>2</span>w</span>+8</span>+<span><span>32</span>w</span></span></span><span><span><span><span>52</span>w</span>+<span>12</span></span>=8</span>Step 3: Subtract 1/2 from both sides.<span><span><span><span><span>52</span>w</span>+<span>12</span></span>−<span>12</span></span>=<span>8−<span>12</span></span></span><span><span><span>52</span>w</span>=<span>152</span></span>Step 4: Multiply both sides by 2/5.<span><span><span>(<span>25</span>)</span>*<span>(<span><span>52</span>w</span>)</span></span>=<span><span>(<span>25</span>)</span>*<span>(<span>152</span>)</span></span></span><span>w=3</span>Answer:<span>w=3</span>
4 0
3 years ago
How to <br> Graph y= 2/3x - 4
Alecsey [184]

Step-by-step explanation:

y iterscept is -4 slope 2/3 rise over run

4 0
2 years ago
J.R. owes $7,000 on a credit card charging a 23.4% annual percentage rate (APR). He stopped using the card and has a debt plan t
never [62]
The answer will be b I think that the answer but I am not sure
4 0
3 years ago
21/8 as a mixed number
Brrunno [24]
You're answer is 2 5/8. To find a mixed number, you take an improper fraction, (such as 21/8), and you divide the numerator by the denominator. Now, you take the remainder and that will be your new numerator, and the divisor will be your denominator. Example: 
 
   __2___                       Answer: 2 5/8
8 I 21
    -16
-------------
        5
8 0
2 years ago
Other questions:
  • When conducting the vertical line test, how many times should the vertical line intersect
    9·1 answer
  • What percentage of 100 is 70
    13·2 answers
  • X y
    8·1 answer
  • Find x such that 3^x = 27 mod 32 (b)
    13·1 answer
  • Please help i will mark branliest
    13·1 answer
  • Michael is saving to buy his senior ring. The base cost of the ring is $280 plus any upgrades he wants to purchase. If he saves
    6·1 answer
  • The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches
    11·1 answer
  • The roots of the equation 2x² – 5 = 0 are
    7·1 answer
  • the diagram shows what tina had left from a yard of fabric. she now uses 2/3 yards of fabric for a project.how much of the origi
    6·1 answer
  • Pls help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!