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valkas [14]
3 years ago
15

there are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many are terriers

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
5x+x=18
x=3 
5 times 3 is 15.
15 plus 3 is 18.
:)
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Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}​
Sergio039 [100]

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

2 {x}^{2}  - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \:  \:  \: or \:  \: x + 3 = 0 \\ x =  \frac{7}{2}  \:  \: and \: x =  - 3

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

4 0
3 years ago
There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
Which of the following sets would have a graph with an open circle on 2 and a ray pointing left on the number line?
andreyandreev [35.5K]

Answer:

{x | x∈ R, x < 2}

Step-by-step explanation:

Given

Open circle on 2

Arrow pointing left

Required

Determine the inequality

An open circle on 2 means represents either < or >

The arrow points to the left of -2 means that the number line represents numbers less than 2. i.e. < 2

Represent the numbers with x.

The inequality is: x < -2

Using proper notation, the inequality is:  {x | x∈ R, x < 2}

5 0
2 years ago
Which expression represents this word phrase? eight less than the quotient of x and 3 x−83 8−x3 x3−8 3x−8
lozanna [386]
Quotient is basically the answer produced when dividing two numbers.

For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Eight less than the quotient of x and 3 = \frac{x}{3} - 8

3 0
3 years ago
Read 2 more answers
What is 3/2x +1/5 = 3/4
jeka57 [31]

Answer:

0.367

Step-by-step explanation:

i took the test and this is what i got    x = 11/30 = 0.367

hope this helps you

6 0
3 years ago
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