the total weight of 3 tables is 16.9 pounds. the first table is twice as heavy as the second table. The weight of the third table is 1/3 the weight of the second table. What is the weight of the first table?

Answers

Answer 1

Answer: 2x + x + 1/3x =16.9
31/3x=16.9

x = 5

the first table is 10 pounds

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Simplify (-2)(-3)^2 -2(2 - 5)

Answers

When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.

P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)

E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)

M- Multiplication
We can simply to.
-18+6

These simplifies into
-12

Final answer:

To simplify the expression (-2)(-3)^2 - 2(2 - 5), you perform the calculations step by step. The final result is -12.

Explanation:

To simplify the expression (-2)(-3)^2 - 2(2 - 5), we perform the calculations step by step:

First, we calculate (-3)^2, which is equal to 9.
Next, we substitute the values in the expression: (-2)(9) - 2(2 - 5).
Then, we simplify the expression inside the parentheses: (-2)(9) - 2(-3).
Multiplying -2 by 9 gives us -18, and multiplying 2 by -3 gives us -6.
Finally, we subtract -6 from -18 to get the final result, which is -12.

Therefore, the simplified expression is -12.

Learn more about Simplifying expressions here:

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Joe goodnuff had been eating on a square card table until he bought a new rectangular dining table.the new table is 2ft longer and 1ft wider then the card table it has an area of 24.75ft.how long was a side of his old square card table?Please explain this to me don't just give me a answer!

Answers

3.5+2=5.5 3.5+1=4.5 5.5×4.5= 24.75 The length of his square table was 3.5ft

Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 times the sum of its digits

Answers

Answer:

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

10x +y = 2(x +y)

1 ≤ x ≤ 9

0 ≤ y ≤ 9

The equation can be simplified to ...

8x = y

The only single-digit values for x and y that satisfy the requirements are ...

x = 1, y = 8

The two-digit number of interest is 18.

_____

Check

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

Comment on the relationship in the problem

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.

Answer:

the statement is x=y/8 the number is 18

Step-by-step explanation:

ur welcome.

Last month, Rhonda earned $3200. Of that amount, she spent $1350 on rent. What percent of her income went to rent, to the nearest tenth of a percent?

Answers

Divide 1350 by 3200.

1350 ÷ 3200 = 0.422

42.2% of her income went to rent.

Match the side and angle measures of each triangle to its correct classification.

Answers

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches