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USPshnik [31]
3 years ago
6

A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small ta

bles. When filled, the large table seats 15 people, and the small tables each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large table is also filled? A. 5t + 15 ≥ 140
B. 5t + 15 ≤ 140
C. 15t + 5 ≥ 140
Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Because the number of tables have to be less then 140 and you have to multiply to find the number of small tables that can fit

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There is a 30 percent chance that A can fix her busted computer. If A cannot, then there is a 40 percent chance that her friend
Solnce55 [7]

Answer:

(a) 0.70

(b) 0.40

Step-by-step explanation:

Mutually-exclusive events are those events which cannot occur together.

Consider that events X and Y are mutually exclusive.

P (X and Y) = 0

Here the two events can be defined as follows:

A = A can fix the busted computer

B = B can fix the busted computer

The information provided are as follows:

P (A) = 0.30

P (B) = 0.40

If A cannot, then there is a chance that her friend B can fix it.

The above statement suggest that the events A and B are mutually exclusive, i.e. if A can fix the computer then B does not have to and if cannot then only B will fix it.

That is, P (A and B) = 0.

(a)

Compute the probability it will be fixed by either A or B as follows:

P (A or B) = P (A) + P (B) - P (A and B)

                = 0.30 + 0.40 - 0

                = 0.70

Thus, the probability it will be fixed by either A or B is 0.70.

(b)

Compute the probability that if it is fixed it will be fixed by B as follows:

P (not A and B) = P (B) - P (A and B)

                         = 0.40 - 0

                         = 0.40

Thus, the probability that if it is fixed it will be fixed by B is 0.40.

8 0
3 years ago
High expression is equivalent to ^4 square root x^10
Talja [164]

In order to find which <u>expression</u> is <u>equivalent</u> to \sqrt[4]{x^{10}}, <u>simplify</u> all given expressions:

0.

\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.

1.

x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.

2.

x^{2.2}.

3.

x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.

4.

x^5.

Therefore,

Answer: correct choice is A

7 0
4 years ago
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
ivanzaharov [21]

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

<u>3x -2y = 97</u>

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

3 0
3 years ago
The number of significant figures in 0.01500 is
madreJ [45]
Four significant is an answer 
because if 0 is the extreme right of decimal place it is significant
and if 0 lies between two significant figure than it is significant like 1.020 is 4 sifnificant and 100 is 1 significant figure
8 0
4 years ago
Hi can you help me please?)
Ad libitum [116K]

<em>To solve for a variable, you just need to isolate the variable to one side.</em>

<h3>7.</h3>

For this, just divide both sides by r and <u>your answer will be \frac{d}{r}=t</u>

<h3>8.</h3>

For this, divide both sides by nR and <u>your answer will be \frac{PV}{nR}=T</u>

<h3>9.</h3>

Firstly, multiply both sides by T: AT=FV-OV

Next, subtract FV on both sides of the equation: AT-FV=-OV

Lastly, multiply both sides by -1, and <u>your answer will be -AT+FV=OV</u>

<h3>10.</h3>

Firstly, multiply both sides by 1000: 1000C=Wtc

Lastly, divide both sides by tc and <u>your answer will be \frac{1000C}{tc}=W</u>

8 0
4 years ago
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