What is defined as anything made up of atoms that has mass and takes up space?
Matter
Which components of the atom are found outside of the nucleus?
Electrons
Which components of the atom have a positive charge?
Protons
What does the identity of an element depend on the number of?
The identity of an element depends on the number of protons in its nucleus, which is known as the atomic number.
What did Rutherford contribute to the model of the atom?
Ernest Rutherford contributed to the model of the atom by proposing the nuclear model. Through his gold foil experiment, he discovered that the atom has a small, dense, positively charged nucleus at its center, surrounded by negatively charged electrons orbiting in empty space. This experiment provided evidence for the existence of a nucleus and led to the development of the nuclear model of the atom.
Solve for w.
6+(w−10)=5
To solve for w in the equation 6+(w−10)=5, we can follow these steps:
1. Start by simplifying the equation by performing the operations inside the parentheses.
6 + w - 10 = 5
2. Combine like terms.
w - 4 = 5
3. To isolate w, add 4 to both sides of the equation.
w - 4 + 4 = 5 + 4
w = 9
Therefore, the value of w is 9.
Solve for c.
c−1.5+6.8=0.6
To solve for c in the equation c−1.5+6.8=0.6, we can follow these steps:
1. Start by simplifying the equation by performing the operations.
c - 1.5 + 6.8 = 0.6
2. Combine like terms.
c + 5.3 = 0.6
3. To isolate c, subtract 5.3 from both sides of the equation.
c + 5.3 - 5.3 = 0.6 - 5.3
c = -4.7
Therefore, the value of c is -4.7.
Solve for x.
1/4 + 1/2 + x = − 3/4
To solve for x in the equation 1/4 + 1/2 + x = -3/4, we can follow these steps:
1. Start by simplifying the equation by adding the fractions on the left-hand side.
1/4 + 1/2 + x = -3/4
3/4 + x = -3/4
2. To isolate x, subtract 3/4 from both sides of the equation.
3/4 + x - 3/4 = -3/4 - 3/4
x = -6/4
3. Simplify the right-hand side by reducing the fraction if possible.
x = -3/2
Therefore, the value of x is -3/2 or -1.5.
Solve for x.
2 1/2x − 3/4 (2x + 5) = 3/8
To solve for x in the equation 2 1/2x − 3/4 (2x + 5) = 3/8, we can follow these steps:
1. Start by simplifying the equation by performing operations inside parentheses and combining like terms.
2 1/2x − 3/4(2x + 5) = 3/8
First, distribute the -3/4 to the terms inside the parentheses:
2 1/2x − 3/4 * 2x - 3/4 * 5 = 3/8
Simplify the expression:
2 1/2x − (3/2)x - 15/4 = 3/8
2. Convert the mixed number to an improper fraction.
2 1/2 = 5/2
The equation becomes:
5/2x − (3/2)x - 15/4 = 3/8
3. Combine like terms on the left-hand side.
(5/2 - 3/2)x - 15/4 = 3/8
Simplify:
(2/2)x - 15/4 = 3/8
(1)x - 15/4 = 3/8
4. Isolate x by getting rid of the fractions.
Multiply both sides of the equation by the common denominator of 4 and 8, which is 8.
8(1)x - 8(15/4) = 8(3/8)
Simplify:
8x - 30 = 3
5. Solve for x by isolating the variable.
Add 30 to both sides of the equation:
8x - 30 + 30 = 3 + 30
8x = 33
Divide both sides of the equation by 8 to solve for x:
8x/8 = 33/8
x = 33/8
Therefore, the value of x is 33/8 or 4 1/8.
What is the value of t?
1.4t−0.4(t−3.1)=5.8
To find the value of t in the equation 1.4t - 0.4(t - 3.1) = 5.8, we can follow these steps:
1. Start by simplifying the equation by distributing the -0.4 to the terms inside the parentheses.
1.4t - 0.4t + 0.4(3.1) = 5.8
Simplify the expression inside the parentheses:
1.4t - 0.4t + 1.24 = 5.8
2. Combine like terms on the left-hand side.
(1.4t - 0.4t) + 1.24 = 5.8
Simplify:
1.0t + 1.24 = 5.8
t + 1.24 = 5.8
3. Isolate t by subtracting 1.24 from both sides of the equation.
t + 1.24 - 1.24 = 5.8 - 1.24
t = 4.56
Therefore, the value of t is 4.56.