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3 years ago

Solve the system of equations algebraically. Verify your

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

Answer:

(1/2, -3)

Step-by-step explanation:

y = 4x – 5

y= -3

substitute y into the firt formula,

-3=4x-5

4x=2

x=1/2

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There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4

mamaluj [8]

Answer:

3 laps

Step-by-step explanation:

4/4 laps is 1 mile

3/4 laps is 3/4 of a mile

2/4 laps is 1/2 a mile (or 2/4 simplified)

1/4 laps is 1/4 milke

8 0

3 years ago

Suppose that you are a city planner who obtains and sample of 20 randomly selected members of a mid-sized town in order to deter

Dmitry_Shevchenko [17]

Answer:

The critical value for the 95% confidence interval is z = 1.96.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$

So it is z with a pvalue of $1-0.025 = 0.975$ , so z = 1.96.

The critical value for the 95% confidence interval is z = 1.96.

5 0

3 years ago

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile

Ganezh [65]

Answer: <u>3 hours and 20 minutes</u>

Step-by-step explanation:

3x + 2(3)x = 30

3x + 6x = 30

9x = 30

9/9 = 30/9

x = 3 1/3 hours

6 0

2 years ago

2x+16=7+2x <br>how do you solve if the variable is the same on both sides of the equation

jeka94

First subtract the 7 from both sides and that would equal 2x+9=2x then subtract 2x and the answer is 9

7 0

3 years ago

Read 2 more answers

The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.

emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

$or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\$

$or, \: l = 3 {x}^{2 - 1} + 2cm$

$\boxed{\sf{l = (3x+2)cm}}$

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

$= \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\$

$= 4xy$

The product of 3x and 4y = 6xy

= 6x - 4xy

$= \boxed{\sf {2xy}}$

hope it helped !!!!

7 0

1 year ago