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nydimaria [60]
3 years ago
5

Andy's average driving speed for a 4-hour trip was 45 miles per hour. during the first 3 hours he drove 40 miles per hour. what

was his average speed for the last hour of his trip?
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

3*40 + x / 4 = 45.


The answer of x comes out to be 60. Which means that the speed was travel around 60 miles per hour in the last one hour of the total journey.

Well to understand how i constructed its equation is very simple. I equated the total average speeds answer to 45 and just calculated the average speeds with the help of algebra where x is the number of miles..


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Hi can you help with some ratio and proportion questions​
pochemuha

Answer:

1a. 12 : 40

1b. 15 : 21

1c. 24 : 44

1d. 2 : 25

2. 40 boys and 100 girls

3. 96 girls

4. £71.43

5a. 9 : 4

5b. 3 : 1

5c. 3 : 5

6. 210 : 90

7. Sorry, I couldn't figure out how to solve this question :(

Step-by-step explanation:

Since I'll be using a similar method to solve these questions, I won't go into a detailed explanation for how I solved every single question. If you do need extra help, please ask in the comments below my answer.

1. Let's use part (a) as an example. The ratio is 3:10. To new ratio is ?:40. So, 10 becomes 40. What number multiplied by 10 equals 40? The answer is 4. If 10 is multiplied by 4, then 3 must be multiplied by 4 as well. 3*4 = 12, so the ratio is 12:40.

In part b the ratio is multiplied by 3, part c is 4, and part d is 1/2.

2. To solve this, add the values on both sides of the ratio together: 2 + 5 = 7. Now, divide the total number of pupils, 140, by 7: 140/7 = 20. Finally, multiply 20 by both sides of the ratio: 2 * 20:5 * 20 = 40:100. There are 40 boys and 100 girls.

3. To solve this I used the same method as the one I used in question 1.

4. The ratio is 5:140, where 140 becomes 2000. To solve, use the method used in question 1.

5. Simplifying ratios is the same as simplifying fractions. Find the greatest common factor of the values on both sides of the ratio and divide both sides by that factor. For example, in part a the factor for 45:20 is 5. 45/5 = 9 and 20/5 = 4. The ratio becomes 9:4.

For part b the factor is 9 and for part c the factor is 50.

6. Same method as was used in question 2.

Hope this helps :)

5 0
3 years ago
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8. What is the least number of
enyata [817]

Answer:

Answer: 11

Step-by-step explanation:

1. 100-15=85

2. 85/8=10.625

3. 10.625 rounds up to 11

6 0
3 years ago
Read 2 more answers
What is 2,621 divided by 37 with remainder
Dahasolnce [82]

Answer: 209

Step-by-step explanation:

3 0
3 years ago
I need some help with this
masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0
2 years ago
Simplify the algebraic expression: (Combine like terms)<br><br> 25 + 3x + 16y - 15 + x - 10y
Maslowich
10+4x+6y because 25-15 3+1 and 16-10
4 0
3 years ago
Read 2 more answers
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