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katrin [286]
2 years ago
12

Can somebody pls help with the top one please and thank you

Mathematics
2 answers:
irina1246 [14]2 years ago
7 0
X+82
...............::::;:
ozzi2 years ago
7 0

Let "some number" be denoted by the variable, x. Change the word expression into expression:

The sum of some number (x) and 82:

Sum means adding, and so you will add x with 82.

x + 82

The quotient of x minus 6 and 8:

Note the term "x minus 6", which means that it would be the first order of operations to be solved. Therefore, you must give it parenthesis. Tack on the quotient 8 and you will have your answer:

(x - 6)/8

Some number divided by 4:

Let "some number" be denoted by the term x. Divide it by 4:

x/4

"The product of y and twice as much as y":

Note that product means multiply.

y * 2y

Then add 3:

2 * 2y + 3

As for the second part:

25x - 5 should be the 2nd choice.

5x - 25 is correct in being the 1st choice.

I am not sure about the wording of the second option, but given that it is the last choice then obviously the 3rd one will be the choice.

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Consider a circle with radius 5 and another circle with radius 3. Let d represent the distance between the two centers.We want t
ElenaW [278]

Answer:

If d<2, there is no intersection

If d=2, there is one intersection

If 2<d<8, there are two intersections

If d=8, there is one intersection

if d>8, there is no intersection

Step-by-step explanation:

If d<2 (the difference between both radius is 2), the little circle is inside the big one. Thus there is no intersection.

If d=2, the little circle is inside but tangent to the big one. There is one intersection then.

If 2<d<8, there are two intersections since the little circle has a portion outside the big one, and another portion inside.

If d=8, the little circle is tangent to the big one from outside. There is one intersection then.

if d>8, the little circle is completely exterior to the big one. Thus, there is no intersection.

Please find attached the figure for d = 10. The big circle is centered and the other is offset by 10.

4 0
3 years ago
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hour
Alex73 [517]

Answer:

0.969

Step-by-step explanation:

Given that:

Mean lifetime (m) = 520 hours

Variance = 900

Hence, standard deviation (s) = √900 = 30

Probability that bulb will last for at most 576 hours

X ≤ 576

Obtain the standardized score :

Using the relation :

Zscore = (x - m) / s

Zscore = (576 - 520) / 30

Zscore = 56 / 30

Zscore = 1.867

P(Z ≤ 1.867) : using the z probability calculator ;

P(Z ≤ 1.867) = 0.96905

Hence, P(Z ≤ 1.867) = 0.969

8 0
3 years ago
Help me on this math question please
xz_007 [3.2K]
Hi. Pounds is used to measure weight and meters measures length so it is meters.
7 0
3 years ago
Read 2 more answers
an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can  fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is =\frac{1}{x}

The rate of filling of inlet pipe is =\frac{1}{x-1}

The rate of filling of both pipes is = \frac 1{10}

According to the problem,

\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}

\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}                              [ simplifying the fraction]

\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}                            

\Rightarrow 10(2x-1)= x^2-x                [ Multiplying 10(x²-x) both sides]

\Rightarrow x^2-x= 20x-10

\Rightarrow x^2-x-20x+10=0             [ simplifying ]

\Rightarrow x^2-21x+10=0

\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}       [ applying quadratic formula]

\Rightarrow x=\frac{21\pm21.93}{2.1}

⇒ x= 21.465,  -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0
4 years ago
Amira is painting a rectangular banner 2 1/4 yards wide on a wall in the cafeteria.
Sholpan [36]
What is the question you are asking?
4 0
4 years ago
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