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VashaNatasha [74]
3 years ago
13

john is looking at a map with a scale of 1/4 inch=20 miles. he measured the distance from his home to the bowling alley in town

as 2.5 inches on the map. what is the actual distance john needs to travel to get to the bowling alley from his home?
Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0
1 inch=80mi

2.5*80mi=200 mi
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lyudmila [28]
In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.

System A
  x² + (-x/2)² = 17
  x² = 17/(5/4) = 13.6
  x = ±√13.6 . . . . 2 real solutions

System B
  -6x +5 = x² -7x +10
  x² -x +5 = 0
The discriminant is ...
  D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions

System C
  y = 8x +17 = -2x² +9
  2x² +8x +8 = 0
  2(x+2)² = 0
  x = -2 . . . . 1 real solution
7 0
3 years ago
Devin's bank charges $1.75 for nonbank ATM withdrawals and $0.30 for each debit card transaction. Last month, Devin paid $8.25 i
nikdorinn [45]

Answer:

10 times

Step-by-step explanation:

3 nonbank atm withdrawals costs 5.25 and the total is 8.25 meaning the remaining must add up to 3. And if you multiply .3 by 10 it gives you 3

8 0
3 years ago
justin has 3x+12 songs jim has 5x-4 songs if they both have the same number of songs how many songs do they each have? 
erma4kov [3.2K]
*\\Justin's\ songs-\ \ 3x+12\\
Jim's\ songs-\ \ 5x-4\\\\The\ same\ amount\ so:\\
3x+12=5x-4\ \ \ |Subtract\ 3x\\
12=2x-4\ \ \ |Add\ 4\\
16=2x\ \ |Divide\ by\ 2\\
x=8\\\\3x+12=3*8+12=24+12=36\\5x-4=5*8-4=40-4=36\\\\
Justin\ has\ 36\ sons\ and\ Jim\ has\ also\ 36\ songs.
7 0
3 years ago
Read 2 more answers
Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error.
tamaranim1 [39]

Answer:

Manuel made his first mistake in step 2 leading to the continuous mistakes

Final answer=185

Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

200

Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.

5 0
3 years ago
2 What is the GCF of y2(y + 1) and y(y + 2)?
zheka24 [161]

Answer:

the answer is Y

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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