Read each word problem and write an expression that would allow you to solve the problem.

10. determine whether the statement is true or false. explain your reasoning.

in m + 8, the variable m can have any value.

The answers for your 10-question problem are

Problem 1  

4 miles

Problem 2

y = 4*x + 2

Where y is the amount spent in dollars, and x is the price per one bag of vegetables.

Problem 3

She needs to sell 10 glasses

Problem 4

y = 2*x

Problem 5

y = 2*x

Problem 6

y = (1.5)*x

Problem 7

y = (7)*x

Problem 8

y = (12)*x

Problem 9

y = 30*x

Problem 10

the statement is TRUE, m can have any value

Step-by-step explanation:

Problem 1

Jenna walks 1 mile in 12 minutes

This means that she covers 1/12 th of a mile in one minute

The equation that represents this problem is

y = (1/12)*x

Where y is the number of miles covered, and x is the walking time in minutes.

If she walks 48 minutes, she will travel  y = (1/12)*48 = 4 miles

Problem 2

Loaf of bread > $2

4 bags of vegetables -- > Price unknown

TOTAL AMOUNT SPENT

y = 4*x + 2

Where y is the amount spent in dollars, and x is the price per one bag of vegetables.

Problem 3

$1 per glass of lemonade

$9 dollars per supply

y = 1*x - 9

Where y is the amount obtained in dollars, and x is the number of glasses of lemonade sold.

if y >0, she will make profit,  (y>9) This means she needs to sell 10 glasses

Problem 4

Assuming that John's dad doubles the amount John makes each week.

The expression is

y = 2*x

Where y is the amount obtained in dollars, and x is the amount saved by John himself each week.

Problem 5

The donor is giving Christina 2 dollars per mile

The expression that represents this condition is

y = 2*x

Where y is the amount obtained in dollars, and x is the number of miles traveled.

Problem 6

For each pound collected, Kenna will receive $1.50

The expression that represents this condition is

y = (1.5)*x

Where y is the amount obtained in dollars, and x is the number of pounds of magazines collected.

Problem 7

Graham made 7 pennants in an hour. Based on this relation, He will make 14 in two hours and 21 in three hours.

The expression that represents this condition is

y = (7)*x

Where y is the amount of pennants made, and x is the number of hours worked on a day.

Problem 8

Maddy earns $12 per hour. Based on this relation, she will make $24 in two hours and $36 in three hours.

The expression that represents this condition is

y = (12)*x

Where y is the amount obtained in dollars, and x is the number of hours worked in a night.

Problem 9

Steven practices his trumpet for 30 min each day. The amount of time practiced is given by the following relation

y = 30*x

Where y is the amount of time practiced in minutes, and x is the number of days of the month that he practiced in.

Problem 10

Determine whether the statement is true or false

In m + 8, the variable m can have any value.

Since there are no restrictions imposed on the value of m, and the expression is not part of a certain equation or condition, the statement is TRUE. m can have any value

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: