MATHEMATICS HIGH SCHOOL

X = 4y + 3, 2x + y = -3
System of Equations

Answers

Answer 1

Answer:

Answer:

y = -1 & x = -1

Step-by-step explanation:

x = 4y + 3 .... ( 1)

2x + y = -3 ........(2)

substitute the 4y + 3 as x in the second equation

2( 4y + 3) + y = -3

simplify and solve for y

8y + 24 + y = -3

9 y + 24 = -3

9y = -3 -24

9y = -27

y = -27 / 9

y = -1

Now, substitute the value of y -1 in first equation

x = 4y + 3

solve for x

x = 4 ( - 1 ) + 3

x = -4 + 3

x = -1

Answer 2

Answer:

Answer:

x = -1, y = -1

Step-by-step explanation:

x = 4y + 3

2x + y = -3

We have the value of x in terms of y, so we substitute that in 2x + y = -3:

2(4y+3)+y = -3

8y+6+y = -3

9y = -9

y = -1

Now we substitute the value of y in x = 4y + 3:

x = 4(-1)+3

x = -1

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. John Gray bought a basic car for $8,250.00, with options that cost $324.00. There's a 6% sales tax inhis state and a combined $50.00 license and registration fee. What was John's total cost?
A. $9,141.44
B. $14,247.00
C. $9,138.44
D. $10,000.00

Answers

Cost of basic car = $8250
Optional cost = $324
Total cost of basic car and optional items for John= (8250 + 324) dollars
      = 8574 dollars
Then
Percentage of sales tax = 6%
Amount of sales tax = 8574 * (6/100) dollars
   = 514.44 dollars
License and registration fee combined = $50
Then total cost of John in regards to buying the car = 8574 + 514.44 + 50
      = 9138.44 dollars
So option "C" is the correct option in regards to the question given.

Find the greatest common factor (GCF) for 72, 36, and 24.

Answers

12

Working;
12 is a common factor for all the terms.

The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2. What is the area of the garage door on the blueprint?

A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2

Answers

Answer:

option A

$0.55\ ft^(2)$

Step-by-step explanation:

Let

x-------> the area of the garage door on the blueprint

y------> the area of the actual garage door

z------> scale factor

we know that

The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door

$z^(2)=(x)/(y)$

In this problem we have

$z=0.05, y=220\ ft^(2)$

substitute the values and solve for x

$0.05^(2)=(x)/(220)$

$x=220(0.05^(2))$

$x=0.55\ ft^(2)$

The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.

We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)

How to solve this step by step

Answers

yo has to factor since we assume that
if you have xy=0, x and y=0

7n^2-48n+36=0
trial and error
(7n-6)(n-6)=0

set each to zero
7n-6=0
add 6
7n=6
divide 7
n=6/7

n-6=0
add 6
n=6

n=6/7 or 6

A jet travels 3950 miles from Chicago to London and then returns. The total flying time for the roundtrip is 16.5 hours. The return trip takes longer due to the wind. If the jet's average speed with no wind is 485 mi/hr, what is the average speed of the wind during the round trip flight? Round to the nearest mi/hr