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3 years ago

6

A rectangular field has a length of 105 feet and a width of 60 feet. On a map of the field the width was drawn as 4 inches. What

measurement should represent the length?

1 answer:

Setler [38]3 years ago

4 0

<span>7 inches represents 105 ft on the map</span>

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.

Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

$x -0,3*x = x -24$

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

$x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x$

$24=x-0,7*x \rightarrow 24 = x*(1-0,7)$

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0

3 years ago

A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,

KiRa [710]

Answer:

$E(p)=51,450p+346,920$

Step-by-step explanation:

The function

$m(p) = 175p + 1,180$

gives the mass of the car as a function of the number of passengers in it.

And the function

$E(m) = 9.8m*h$

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

$E(m) =9.8m*(30)$

$E(m) =294m$

And to find the potential energy as a function of the number of passengers, we just substitute $m(p)$ into $E(m)$ to get:

$E(m(p))=294(175p+1180)$

$\boxed{ E(p)=51,450p+346,920}$

which gives the potential energy as a function of the number of passengers.

7 0

4 years ago

Consider the sphere. A sphere. A is the radius, d is the diameter, b is the great circle, and c is the center. Identify the part

V125BC [204]

Answers: D for it represents the diameter and A for represents the radius

4 0

3 years ago

Read 2 more answers

Please answer fast

dsp73

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

5 0

3 years ago

The length of the base of a right triangle is 32 centimeters, and the height is 10 centimeters. What is the area of the triangle

Bas_tet [7]

10(32)=320, 320/2 Area=160

4 0

3 years ago

Read 2 more answers