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3 years ago

Which statement explains Joni’s error?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

Answer:

Mult by 10000

Step-by-step explanation:

67 deka to centi = 67000 thus mult by 10000 is answer.

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

What multiplies to give you 15 and adds to give you -8?

Nitella [24]

Answer:

The system of equations is:

x + y = 15

xy = 15

Step-by-step explanation:

solve the first for y and substitute in the second:

y = 15-x

x(15-x) = 15

15x - x� = 15

15x - x� - 15 = 0

-x� + 15x - 15 = 0

x� - 15x + 15 = 0

7 0

2 years ago

Read 2 more answers

Need ASAP 20 points !

AlladinOne [14]

Answer:

X = 116

Step-by-step explanation:

Total heptagon angle = 900

124 + 120 + 122 + 136 + 144 + 138 = 784

900 - 784 = 116

4 0

3 years ago

The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th

Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

↓ ↓ ↓

3.24 + 5.76 = c²

↓

9 = c²

↓

√9 = √c²

↓

3 = c

3 miles would be your FINAL answer.

____________________________________________________

4 0

3 years ago

27 as 3 to a power.

dolphi86 [110]

3^3 is equal to 3 * 3 *3, which is equal to 27

6 0

3 years ago