MATHEMATICS HIGH SCHOOL

The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? is it 27 or 12

Answers

Answer 1

Answer:

Answer:

The length of rectangle =18 m.

Step-by-step explanation:

Suppose of length of rectangle=x

Width of rectangle = $(2)/(3)x$

Area of rectangle = $216 m^2$

We have to find the length of rectangle .

Area of rectangle = $length* breadth$

Substitute the values in the given formula

$216=x* (2)/(3)x$

$216=(2)/(3)x^2$

$2x^2=216* 3$ By multiplication property of equality

$x^2=(216* 3)/(2)$ ( by division property of equality )

$x=√(324)=18$

Substitute the value then we get

Width of rectangle = $(2)/(3)* 18=12 m$

Hence, the length of rectangle =18 m.

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Question 1.1. Choose the correct answer.Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish. How many of each type of fish did she buy?

Which is a system of equations to model the problem if x represents the number of angelfish Nancy bought and y represents the number of goldfish she bought?

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4. Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of $2.65 in his coin bank. How many nickels are in Jim’s coin bank?

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Answers

I believe Nancy bought 45 Angelfish and 315 Goldfish. 360 / 8 = 45, 360-45=315

the answer is 40 angelfish and 320 goldfish

Find the length of EG:
G
C
E
B.

Answers

Answer:

Step-by-step explanation:

For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answers

Answer:

7 Vans will be needed

Step-by-step explanation:

Got stuck on this question for awhile Write an expression for the sales tax on a car.

Tax rate is 6%, price is 1000 off the sticker price, $p.

Answers

I believe that you would just add 6% of 1000 to $1000, but you need an expression. Let's try this.
.06*1000=60
That's just the tax. If you need the whole price, use this.
1000+(.06*1000)=$1060
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Y=0.81x+25 in standard form

Answers

a standard equation follows the form Ax + By = C, so the answer is -0.81x + y = 25 just by subtracting the x term from both sides

The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the lengths of the legs of the triangle.

Answers

Let the shortest leg be x feet;
The other leg will be (x + 14) feet.

Using Pythagoras theorem;

x^2 +(x+14)^2 = 26^2

x^2 + x^2 +28x + 196 = 676

2x^2 + 28x - 480 = 0

x^2 + 14x - 240 = 0

x^2 +24x - 10x -240 = 0

x(x+24) - 10(x+24) = 0

(x+24)(x-10)= 0;

x=10;
x+14 = 24

Hence, the length of the legs are 10 feet and 24 feet.

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