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netineya [11]
3 years ago
5

4.5(8-x) + 36=102-2.5(3x+24) what’s x?

Mathematics
2 answers:
zmey [24]3 years ago
4 0
First, group your like terms:
30-4.5x+36=102-7.5x-60
30+36-4.5x=102-60-7.5x
66-4.5x=42-7.5x
Second, add 7.5x on both sides:
66+3x=42
Next, subract 66 on both sides:
3x=-24
Now, divide 3 on both sides:
-24/3=-8
x=-8
maxonik [38]3 years ago
3 0
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
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At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least
Lapatulllka [165]

Answer:

4 is the maximum number of ride tickets she can buy

Step-by-step explanation:

Here, r represents the number of ride tickets and f represents number of food tickets.

The system of inequalities is given as:

r+f\geq 16                         ....[1]

4r+2f\leq 40                    .....[2]

To solve Mathematically:

Multiply equation [1] by -2 we have;

-2r-2f \leq -32               .....[3]

Add equation [2] and [3] we have;

2r \leq 8

Divide both sides by 2 we have;

r \leq 4

Since r must be less than or equal to 4.

You can also see the graph of the given system of inequalities as shown below.

The intersection point is, (4, 12)

Therefore, the maximum number of ride tickets she can buy is, 4

3 0
3 years ago
The compound probability of two events, E and F, is ; the probability of E is and of F is . In two or more complete sentences, e
lorasvet [3.4K]

Answer:

Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.

Step-by-step explanation:

Two events are independent when the probability of one event occurring has no connection with that of the other event.

Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.

Mathematically independent events can be calculated as;

P(E∩F)=P(E)-P(F)

3 0
3 years ago
Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is th
PtichkaEL [24]

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

6 0
3 years ago
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