Question 1: which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n? a. −7 − 8n b. −7 + 8n c. −7 − 13n d. −7 − n(10.5 − 2.5) e. −7 + n(10.5 − 2.5) question 2: during his workouts last week, allen jogged the same amount of time each day for 6 days. use the following information to determine the number of minutes allen jogged each day: during each workout, he jogged and he rode his bike. he rode his bike for 45 minutes each day. he worked out for a total of 360 minutes last week. what is the number of minutes that allen jogged each day last week? enter your answer in the box below. question 3: marla bought one necklace and two bracelets for $67.50. use the following information to determine the amount she paid for each bracelet: the price of the necklace was $27. the bracelets were both the same price. enter your numerical answer only in the box; do not include the dollar sign. question 4: two equations are shown: equation 1: 3/4(x−12)=12 equation 2: 3/4y−12=12 solve each equation. then, enter a number in each box to make this statement true. the value of x is: the value of y is:

1.) B. -7+8n; 2.) 15; 3.) 20.25; 4.) x=28 and y=32.

Step-by-step explanation:

1.) Simplifying our expression,

-3.5(2-3n)-2.5n

Use the distributive property:

-3.5(2)-3.5(-3n)-2.5n

-7+10.5n-2.5n

Combine like terms:

-7+8n

2.) Allen worked out for 360 minutes over 6 days.  This is 360/6 = 60 minutes per day.

He rode his bike for 45 minutes each day; this leaves

60-45 = 15 minutes for jogging each day.

3.) Marla spent a total of $67.50.  $27 of this was for the necklace; that leaves

67.50-27 = 40.50 for the two bracelets.  This means each one is

40.50/2 = 20.25.

4.) For equation 1:

3/4(x-12)=12

Use the distributive property:

3/4(x)-3/4(12) = 12

3/4x-3/4(12/1) = 12

3/4x-(3*12)/(4*1) = 12

3/4x-36/4 = 12

3/4x-9 = 12

Add 9 to each side:

3/4x-9+9 = 12+9

3/4x = 21

Divide both sides by 3/4:

3/4x÷3/4 = 21÷3/4

x = 21/1÷3/4

To divide fractions, flip the second one and multiply:

x = 21/1×4/3

x = 84/3 = 28

For Equation 2:

3/4y-12 = 12

Add 12 to each side:

3/4y-12+12 = 12+12

3/4y = 24

Divide both sides by 3/4:

3/4y÷3/4 = 24/1÷3/4

y = 24/1×4/3

y = 96/3 = 32

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart