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andrey2020 [161]
3 years ago
11

in a bag of keys there are 14 silver keys, 6 black keys , 10 copper keys and 2 painted keys of various colors. one key is drawn

out at random. What is the probability that the key that is drawn is silver or copper
Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
In total there are 32 keys.
There 24 silver and copper keys so the probability of one being drawn is 24/32

Now just simplify
24/32 = 12/16 = 6/8 = 3/4
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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
4 0
3 years ago
Which does not show a direct variation between x and y?  
Dmitry [639]
(1)\\direct\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \  k\in\ R\\\\Ans.\ NOT\ direct\ is\ D\\\\(2)\\f(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\\\\ \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\\\\(3)\\f(x)=30x\ \ \ \Leftrightarrow\ \ \  \frac{f(x)}{x} =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.

\\\\(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.
3 0
3 years ago
2\%2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
Andrew [12]

Answer:

<u>14 students</u> at Hamilton Middle School have red hair.

Step-by-step explanation:

Given:

2%, percent of the students at Hamilton Middle School have red hair.

There are 700 students at Hamilton Middle School.

Now, to find the number of students at Hamilton Middle School having red hair.

Total number of students = 700.

Percent of the students at Hamilton Middle School have red hair = 2%.

Now, to get the number of students at Hamilton Middle School having red hair:

2\%\ of\ 700\\\\=\frac{2}{100} \times 700\\\\=0.02\times 700\\\\=14.

Therefore, 14 students at Hamilton Middle School have red hair.

3 0
3 years ago
Read 2 more answers
Factorise completely<br> 12x4yz2−8x3y3z2
Lina20 [59]
Final result :

4x3yz2 • (3x - 2y2)
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "z2" was replaced by "z^2". 4 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :

Equation at the end of step 2 :

(((22•3x4) • y) • z2) - 23x3y3z2
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C. Both options A and B will allow him to meet his goal.

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