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2 years ago

11

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its di

mensions?

1 answer:

Virty [35]2 years ago

6 0

Answer:

L=30 W=15

Step-by-step explanation:

90 divided by 6 is 15. 15 is the Width. Multiply 15 by 2 and you get 30 which is the Length.

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Does -3(4-3x)=9x-12 have any equations?

Verdich [7]

-3(4-3x=9x-12
-12+9x=9x-12
9x-9x=-12+12
X=0

5 0

3 years ago

How can this 12×2+2³ make 120

Alex17521 [72]

Step-by-step explanation:

$12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120$

8 0

3 years ago

ANSWER ASAP PLZ!!

Vikentia [17]

$\text{If is}\\\\\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2\end{array}$

Answer:

$\large\boxed{\left(-\dfrac{344}{69},\ -\dfrac{38}{3}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2-0.3y=4\\2.3x-y=1.2&\text{multiply both sides by (-0.3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}0.2-0.3y=4\\-0.69x+0.3y=-0.36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-0.69x+0.2=3.64\qquad\text{subtract 0.2 from both sides}\\.\qquad-0.69x=3.44\qquad\text{divide both sides by (-0.69)}\\.\qquad x=-\dfrac{3.44\cdot100}{0.69\cdot100}\\.\qquad \boxed{x=-\dfrac{344}{69}}\\\\\text{Calculate the value of y from first equation:}$

$0.2-0.3y=4\qquad\text{subtract 0.2 from both sides}\\-0.3y=3.8\qquad\text{divide both sides by (-0.3)}\\y=-\dfrac{3.8\cdot10}{0.3\cdot10}\\\boxed{y=-\dfrac{38}{3}}$

--------------------------------------------------------------------------

$\text{If is}\\\\\left\{\begin{array}{ccc}0,2x-0,3y=4\\2.3x-y=1.2\end{array}\right$

Answer:

$\large\boxed{\left(-\dfrac{52}{7},\ -\dfrac{128}{7}\right)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}0.2x-0.3y=4&\text{multiply both sides by 10}\\2.3x-y=1.2&\text{multiply both sides by 10}\end{array}\right\\\\\left\{\begin{array}{ccc}2x-3y=40&\text{multiply both sides by (-10)}\\23x-10y=12&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-20x+30y=-400\\69x-30y=36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad49x=-364\qquad\text{divide both sides by 49}\\x=-\dfrac{364:7}{49:7}\\.\qquad\boxed{x=-\dfrac{52}{7}}$

$2\left(-\dfrac{52}{7}\right)-3y=40\\-\dfrac{104}{7}-3y=40\qquad\text{multiply both sides by 7}\\-104-21y=280\qquad\text{add 104 to both sides}\\-21y=384\qquad\text{divide both sides by (-21)}\\y=-\dfrac{384:3}{21:3}\\\boxed{y=-\dfrac{128}{7}}$

7 0

4 years ago

Given the expotential function f(x) = 4(3)^x find f(0) and f(1)

RoseWind [281]

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4 $(3)^{x}$ , then

f(0) = 4 $(3)^{0}$ = 4 × 1 = 4 [ $a^{0}$ = 1 ]

f(1) = 4 $(3)^{1}$ = 4 × 3 = 12

5 0

3 years ago

What is the sum of the interior angles of the polygon shown below?

Likurg_2 [28]

Answer:

The sum of the interior angles of the polygon is 900°.

Step-by-step explanation:

Count how many sides this proper polygon has.

It has about seven sides.

Therefore, this polygon is a heptagon.

The total measure of a triangle is 180°.

From here, about five triangles can be made.

So,

180° × 5 = 900°

8 0

3 years ago