This is due in 20 minutes, help, please. Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?

Write a algebraic equation for the word problem above.

Question 1 options:

3 + 7 + g = 65

65 + g = 7

7g + 3 = 65

3g + 7 = 65 (What I chose)

Question 2

Write an algebraic equation for the word problem below.

How old am I if 226 reduced by three times my age is 133?

Question 2 options:

3a - 226 = 133

226 - 3a = 133 (My answer)

133 - 3a = 226

3a - 226 = 133

Question 3

rite an algebraic expression for the word problem below.

The sum of three consecutive numbers is 72. What are the three numbers?

Question 3 options:

3n = 72

1 + 2 + 3 = 72

a + b + c = 72

n + (n + 1) + (n + 2) = 72 (My answer)

Question 4

Write an equation for the word problem below.

It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?

Question 4 options:

2m + 5 = 25

5m - 2 = 25

25 + 2m = 5

5m + 2m = 25 (My answer)

Question 5 (Unsure if I'm correct)

rder the steps for writing an algebraic equation from real life word problems.

Question 5 options:

2
Identify all the important information

3
Define the variable

4
Write an equation using the important information and the variable

1
Read through the entire problem

1) You were right

2) Also correct

3) Again, correct

4) Wrong, the correct answer is 2m + 5 = 25

5) Correct

Step-by-step explanation:

1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:

3g + 7 = 65

2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?

226 - 3a = 133

3) The sum of three consecutive numbers is 72.

n + ( n + 1 ) + ( n + 2 ) = 73

4) It cost 5 plus 2 per mile.The total spent was 25

2m + 5 = 25

5)

1. Read the entire problem.

2. Identify all the important info.

3. Define the variable

4. Write an equation using the important information and the variable

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.