Complete the table using the Linear model: y = 2x + 1

HELP AS SOON ASAP !!!

andre [41]

Answer:

$475

Step-by-step explanation:

998=x+y

y=48+x

graph

intersect at (475,523)

5 0

3 years ago

A TV has a listed price of $608.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax incl

Juliette [100K]

Answer:

the total cost is $705.77

Step-by-step explanation:

3 0

2 years ago

Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in

Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

$\frac{63}{x}+\frac{63}{x-25}=1$

multiplying through by x(x-25 )we have

$63(x-25)+63x= x(x-25)$

open bracket we have

$63x-1575+63x= x^2-25x$

rearranging and collecting like terms we have

$0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0$

we can now use the quadractic formula

$x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}$

a= 1

b= -151

c= 1575

$x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}$

$x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\$

$x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27$

the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time

let us check

$\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1$

we can see that the solution approximates to 1

8 0

3 years ago

The sum of two numbers is 17. Their difference is 41. Find the numbers.

Allisa [31]

Answer:

The numbers are 12 and −29.

 Mark me as the brainlist

6 0

3 years ago

Nancy bought 7 pounds of oranges and 3 pounds of bananas for $17. Her husband later bought 3 pounds of oranges and 6 pounds of b

Serjik [45]

Answer:

The price of oranges is US$ 2 per pound and the price of bananas is US$ 1 per pound.

Step-by-step explanation:

1. Bananas and oranges bought by Nancy:

Oranges = 7 pounds

Bananas = 3 pounds

Cost = US$ 17

2. Bananas and oranges bought by Nancy's husband:

Oranges = 3 pounds or 3x

Bananas = 6 pounds or 6y

Cost = US$ 12

3x + 6y = 12 (Dividing by 3 at both sides of the equation)

x + 2y = 4

x = 4 - 2y

3. Total Purchases:

Oranges = 10 pounds or 10x

Bananas = 9 pounds or 9y

Cost = US$ 29

10x + 9y = 29

10 (4 - 2y) + 9y = 29 (Replacing x with 4 - 2y from 2nd purchase)

40 - 20y +9y = 29

-11y = 29 - 40

- 11y = - 11

y = 1 (Dividing by -11 at both sides)

Pound of bananas = US$ 1

10x + 9 (1) = 29 (Replacing y by 1 in the original formula)

10x + 9 = 29

10x = 20

x = 2 (Dividing by 10 at both sides)

Pound of oranges = US$ 2

7 0

3 years ago

Read 2 more answers