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Alex73 [517]
2 years ago
10

In a half hour, Fred is meeting his

Mathematics
1 answer:
never [62]2 years ago
7 0

Answer:

12 mph

Step-by-step explanation:

from fred to the lake is 6 miles

the time he needs to get there is 30 minutes or .5 hours

speed = distance/time

6/.5 = 6*2 = 12

message me for any questions

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Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
Two business partners, Alan and Rob, invested money in their business at a ratio of 6 to 7. Bob invested the greater amount. The
Verdich [7]

Answer:

180 Alan, 210 Rob

Step-by-step explanation:

6+7= 13

390÷13= 30

30×6=180 =Alan

30××7=210 =Rob

4 0
3 years ago
-8= 3-5(x+6) solving algebraicaily​
SOVA2 [1]

Let's solve your equation step by step

-8=3-5(x+6)

Step 1: simplify both sides of the equation

-8=3-5(x+6)

-8=3+(-5)(x)+(-5(6) (distribute)

-8=3+-5x+-30

-8=(-5x)+(3+-30) (combine like terms)

-8=-5x+-27

-8=-5x-27

Step 2: flip the equation

-5x-27=-8

Step 3: add 27 to both sides

-5x-27+27=-8+27

-5x=19

Step 4: Divide both sides by -5

-5x/-5 = 19/-5

Answer : x= -19/5

4 0
3 years ago
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Natali [406]

Answer:

3675

Step-by-step explanation:

4 0
3 years ago
What is the volume of this rectangular prism?
Leni [432]

Answer:

20

Step-by-step explanation:

cause 2/3 * 6 is 4 then 4*5 is 20

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3 years ago
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