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2 years ago

Use substitution to solve the system of equations :

Mathematics

1 answer:

mote1985 [20]2 years ago

3 0

Answer:

x=1

y=-4

Step-by-step explanation:

4x+y=0 -> y= -4x

2(-4x)+x=-7

-8x+ x=-7

-7x=-7

x=-7/-7=1

y=-4 . 1 = -4

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Y=2x−1

lord [1]

Answer:

(1,1) is a solution of the system.

Step-by-step explanation:

Let's solve the system.

y = 2x - 1

5x - 4y = 1

In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

5x - 8x + 4 = 1

4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.

5 0

2 years ago

The dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour.convert this speed to ines per minute

DaniilM [7]

<h3>52.68 feet per hour = 10.536 inches per minutes</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

$1 ~ foot = 30.48 ~ cm$

$1 ~ inch = 2.54 ~ cm$

$1 ~ foot = 12 ~ inches$

$\boxed {52.68 ~ feet = 52.68 \times 12 ~ inches = 632.16 ~ inches}$

$1 ~ day = 24 ~ hours$

$\boxed {1 ~ hour = 60 ~ minutes}$

If the dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour , then :

$52.68 ~ feet/h = \frac{52.68 ~ feet}{1 ~ hour}$

$52.68 ~ feet/h = \frac{52.68 \times 12 ~ inches}{60 ~ minutes}$

$52.68 ~ feet/h = \frac{632.16 ~ inches}{60 ~ minutes}$

$\large {\boxed {52.68 ~ feet/h = 10.536 ~ inches/min} }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

3 0

3 years ago

4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

2 years ago

30 ounces at $4.00 per pound. how much was paid for 30 ounces

Nata [24]

It would be $7.50 because 4 ounces equals $1 so 30/4 =7.5

3 0

2 years ago

(3x+13)(5x+9) vertical angles

matrenka [14]

Answer:

(8x+22)

Step-by-step explanation:

8 0

2 years ago