Solve the problem by multiplying first. Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of

$25.75. Each donut cost $0.55 and each bagel cost $1.20. The system of equations

b + d = 35

1.200 + 0.55d = 25.75 models this situation, where b is the number of bagels and d

is the number of donuts. How many of each did Jamian buy?

{ 1.200

Jamian bought

bagels and

donuts.

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students