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3 years ago

5

What's the standard form for 8 digit number

1 answer:

MrMuchimi3 years ago

7 0

10,000,000

Hope that helped:)

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The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the wi

xenn [34]

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

$\text{Area of rectangle}=\text{Length* Width}$

Let us substitute our given values in area formula.

$40=x*(x+3)$

Upon distributing x we will get,

$40=x^2+3x$

$x^2+3x-40=0$

Now let us factor out our quadratic equation using splitting the middle term.

$x^2+8x-5x-40=0$

$x(x+8)-5(x+8)=0$

$(x+8)(x-5)=0$

$x+8=0$ or $x-5=0$

$x=-8$ or $x=5$

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

7 0

3 years ago

A 32-ounce tub of yogurt contains 5 servings. How many ounces of yogurt are in 1<br> serving?

Roman55 [17]

Answer:

32/5 ounces or approximately 6.4 ounces.

Step-by-step explanation:

We are trying to find the unit rate, so divide 32 by 5 to see how many ounces in just 1 serving.

7 0

3 years ago

Read 2 more answers

Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$

Step-by-step explanation:

We know that a general exponential function is like, $y=a(b)^{x}$

We can find the answer by hit and trial method by plugging the values of $(x,y)$ coordinates.

Here we are going to solve this with the above general formula.

So as the points are $(1,16)$ then for $x=1,\ y=16$

Can be arranged in terms of the general equation.

$ab^1=16$ ...equation(1) and $ab^4=128$ ...equation(2)

$a\times b=16, then\ a=\frac{16}{a}$

Plugging the values in equation 2.

We have

$\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2$

Plugging $b=2$ in equation 1.

We have $a=\frac{16}{b} =\frac{16}{2} =8$

Comparing with the general equation of exponential $a=8$ and $b=2$

So the function which depicts the above points = $y=8(2)^x$

From theoption we have B as the correct answer.

7 0

4 years ago

What is the missing step in this proof

Vilka [71]

The correct answer is letter A

3 0

3 years ago

Jean has 16 action figures jean got 2 more action figures what are all the different equal groupings she can make now.

IRISSAK [1]

2 groups of 9
3 groups of 6
6 groups of 3
9 groups of 2

6 0

3 years ago