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Mnenie [13.5K]
3 years ago
9

Solve this inequality.

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

x < −8/21

if you need help with explanations of the equations, "mathpapa" is something to look up. It's a algebra calculator that explains the step by step process

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Write the ratio: <br> 450<br> to <br> 200<br> as a fraction in lowest terms.
xz_007 [3.2K]

Answer:

The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :

450 : 200 = 9 : 4

Therefore:

450 : 200 = 9 : 4

basically 9/4

Step-by-step explanation:

6 0
3 years ago
A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s
Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

P_K=3P_T\\\\P_K-3P_T=0

Finally, we know that the sum of probablities has to be 1, or 100%.

P_Q+P_K+P_T=1

We can solve this by sustitution:

P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

P_K+P_Q=0.6+0.2=0.8

8 0
3 years ago
1.
Alekssandra [29.7K]

Answer:

The number of visit so that both plan cost same is 10 .

Both the plan has equivalent choice of benefit

Step-by-step explanation:

Given as :

A gym has two membership plans.

For Gold plan

The charge per month = $50  

The charge per visit = $3

For Platinum plan

The charge per month = $20  

The charge per visit = $6

Let The number of visit for which each plan be same = n visits

Now, According to question

<u>∵ Each plan cost to be same</u>

So,

The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit

I.e $50 + $3 × n = $20 + $6 × n

Or, $50 - $20 =  $6 × n  -  $3 × n

Or, $30 = ($6 - $3) × n  

Or, $30 = $3 × n  

∴ n = \dfrac{30}{3}

I.e n = 10

So, The number of visits = n = 10

Now, For Gold plan

The charge per month = $50  

The charge per visit = $3 × 10 = $30

So, Total charge for gold plan = $50 + $30 = $80

Similarly For Platinum plan

The charge per month = $20  

The charge per visit = $6×10 = $60

So, For Platinum plan ,total charge = $20 + $60 = $80

Hence, The number of visit so that both plan cost same is 10

and both the plan has equivalent benefit. Answer

4 0
3 years ago
Simplify the expression k-2(k-(2-k))-2
Reil [10]
Simplify the following:
k - 2 (k - (2 - k)) - 2
-(2 - k) = k - 2:
k - 2 (k + k - 2) - 2
Grouping like terms, k + k - 2 = (k + k) - 2:
k - 2 ((k + k) - 2) - 2
k + k = 2 k:
k - 2 (2 k - 2) - 2
-2 (2 k - 2) = 4 - 4 k:
k + 4 - 4 k - 2
Grouping like terms, k - 4 k - 2 + 4 = (4 - 2) + (k - 4 k):
(4 - 2) + (k - 4 k)
k - 4 k = -3 k:
-3 k + (4 - 2)
4 - 2 = 2:
Answer:  2 - 3 k
3 0
3 years ago
Read 2 more answers
I need help ASAP anyone ???
Anna [14]

Answer: 141.7 ct

Step-by-step explanation: It's quite easy to notate this. Just move the decimal point two units to the right, and there's your notation!

8 0
3 years ago
Read 2 more answers
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