At rate x miles/ hour drove d miles/ 4 hours;

At rate x-10 miles / hour drove d miles/5 h

d miles = x• 4 miles first rate

d miles= (x-10)•5 miles second rate

5x-50= 4x

5x-4x= 50

X= 50 miles/h to get to the beach

50-10= 40 miles/h to get home

At rate x-10 miles / hour drove d miles/5 h

d miles = x• 4 miles first rate

d miles= (x-10)•5 miles second rate

5x-50= 4x

5x-4x= 50

X= 50 miles/h to get to the beach

50-10= 40 miles/h to get home

Part 6) Option B $3.20

Part 7) Option C. 8,295 students

Step-by-step explanation:

Part 6)

Let

x -----> the cost of one hamburger

y ----> the cost of one soda

we know that

7x+3y=27.95 ------> equation A

5x+4y=23.40 ----> equation B

Solve the system by graphing

Remember that the solution by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (3.2,1.85)

see the attached figure N 1

therefore

The cost of one hamburger is $3.20

Part 7)

Let

x -----> the number of students

y -----> the number of teachers

we know that

x=35y ------> equation A

x+y=8,544-12

x+y=8,532 -----> equation B

Solve the system by substitution

substitute equation A in equation B and solve for y

35y+y=8,532

36y=8,532

y=237 teachers

Find the value of x

x=35y ------> x=35(237)=8,295

therefore

The number of students is 8,295

8m board

One piece has to be longer by two so this is what i would do:

1. 8 divided by 2 = 4

2. so i will take two off the 4 and get 2

3. so the two pieces will be 2 and 6

4. 2+6 = 8

Hope this helped!

:)

One piece has to be longer by two so this is what i would do:

1. 8 divided by 2 = 4

2. so i will take two off the 4 and get 2

3. so the two pieces will be 2 and 6

4. 2+6 = 8

Hope this helped!

:)

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