8x - y = 280 Y = -6x

Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car d

Olegator [25]

Answer:

The speed of the cars is $32 \frac{km}{h}$

Step-by-step explanation:

First we must first have the clear concept that $speed=\frac{distance}{time}$ or $s=\frac{d}{t}$

Our question is the speed of the cars then the variable to clear will be s.

Let's raise the equation for each car taking into account that we have the following data:

Car 1: $s_{1}=s+1$ , $t_{1}=2$ and $d_{1}= d_{2}$

Car 1: $s_{2}=s-10$ , $t_{2}=3$ and $d_{1}= d_{2}$

The two cars travel the same distance so we will raise the distance formula for each car and then match them.

Car 1

$d_{1}=s_{1}*t_{1}$

$d_{1}=(s+1)*2$

$d_{1}=2s+2$

Car 2

$d_{2}=s_{2}*t_{2}$

$d_{2}=(s-10)*3$

$d_{2}=3s.30$

$d_{1}=d_{2}$

$2s+2=3s-30$

$2+30=3s-2s$

$32=s$

The speed of the cars is 32 km/hr

7 0

4 years ago

Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s

Lorico [155]

Answer:

32 miles

Step-by-step explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way

5 0

3 years ago

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)}

ludmilkaskok [199]

Answer:

B.

Step-by-step explanation:

Domain is the x-coordinate and the range is the y-coordinate.

B. Domain: {7}

Range: {-4, -2, 1, 4, 6}

6 0

3 years ago

How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1

Kitty [74]

Step-by-step explanation: Explanation:

y

−

2

=

3

(

x

−

1

)

3

x

−

y

=

3

−

2

=

1

x

1

3

+

y

−

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

−

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

5 0

3 years ago

Marcus is building a fence around his rectangular backyard. The length of his backyard is 75 3/4 ft, and the width is 81 1/4 ft.

Allisa [31]

Answer:

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished = 4,923.75ft²

4 0

3 years ago

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