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iVinArrow [24]
3 years ago
8

Six times a number is greater than 20 more than that number. What are the possible values of that number? On-4 On>4 20 On>

97 97 one2 20 7
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

a > 4

Step-by-step explanation:

6a > 20 + a \\ collect \: like \: terms \\ 6a - a > 20 \\ then \: add \\ 5a \: > 20 \\ divide \: both \: sides \: by \: 5 \\  \frac{5a}{5} > \frac{20}{5} \\ a > 4

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Polygon ABCD is a rectangle what is its area round your answer to the nearest tenth 26.0 square units 13.0 square units 51.8 squ
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Answer:

its d ong

Step-by-step explanation:

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4 years ago
What is the probability of randomly picking a five-digit number whose leftmost digit is 1 and units digit is 9 from all the odd
riadik2000 [5.3K]

Answer:1/25

Step-by-step explanation: do 5 to the second power which will get all combinations then do 1 as the numerator over the denominator which is the number of combinations.

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3 years ago
Solve the systems by the addition method x - 2y = - 4 2x + y = 7
vfiekz [6]
<h2>x - 2y = -4</h2><h2>2x + y = 7</h2><h2 />

To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

will cancel so we need to set things up so a variable will cancel.

Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

<h2>-2x + 4y = 8</h2><h2>2x + y = 7</h2><h2 />

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, <em>y = 3</em>.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

Now subtract 4 from both sides to get 2x = 4.

Dividing both sides by 2, we fid that <em>x = 2</em>.

Since x = 2 and y = 3, our answer is the ordered pair (2, 3).

5 0
3 years ago
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of ^8C_3 possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

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P(S) = \dfrac{21}{56}

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

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P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0
3 years ago
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xeze [42]

Answer: 136 ounces

Step-by-step explanation:

Given: The ratio of cranberries and raspberries is 8:9 .

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Total quantity = 64 ounces  +  72 ounces =  136 ounces

Hence, the total weight of berries purchased=  136 ounces

6 0
3 years ago
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