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3 years ago

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A rectangular bin has a perimeter of 36 inches. The length of the bin is twice the width. Write and solve an equation to determi

ne the length, in inches, of the bin. Then find the area, in square inches, of the bin.

1 answer:

bekas [8.4K]3 years ago

3 0

2x + 4x = y
x=6
2(6)+4(6) = 36 sq in.

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25 points Please Answer ASAP

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3 years ago

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An environmentalist wants to find out the fraction of oil tankers that have spills each month.

Anastasy [175]

Answer:

The estimate of the proportion of oil tankers that had spills is 0.25.

Step-by-step explanation:

Proportion of oil tankers that had spills:

1036 tankers.

777 did not have spills.

So 1036 - 777 = 259 had spills.

The proportion is:

$p = \frac{259}{1036} = 0.25$

The estimate of the proportion of oil tankers that had spills is 0.25.

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3 years ago

Determine if the functions are even, odd or neither. f(x) = -5x4 - 2 and g(x) = x3 + 2x

Setler [38]

Try this option:
the rule: if f(-x)=f(x), then the function f(x) is even, if f(-x)=-f(x) then the function is odd.
1. f(x)=-5x⁴-2;
if to substitute x→(-x), then f(-x)=-5*(-x)⁴-2; ⇔ f(-x)=-5x⁴-2, in other words f(x)=f(-x), it means that this function is even.
2. f(x)=x³+2x.
if to substitute x→(-x), then f(-x)=(-x)³+2*(-x); ⇔ f(-x)=-(x³+2x), in other words f(-x)=-f(x), it means that this function is odd.

5 0

3 years ago

You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?

alexandr402 [8]

ANSWER

The substitution property of equality.

EXPLANATION

We know that:

$12x = 60$

and that

$x = 5$

Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

$12 \bullet \: 5 = 60$

This is what we refer to as the substitution property of equality.

5 0

3 years ago

John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

3 years ago