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ziro4ka [17]
3 years ago
13

In some​ country's congress, the number of representatives is 25 less than five times the number of senators. there are a total

of 515 members. find the number of senators and the number of representatives.
Mathematics
1 answer:
Nataliya [291]3 years ago
5 0
Let number of senators = x, then:-

number of representatives = 5x - 25  so

x + 5x - 25 = 515
6x = 540
x = 90  
number of reps =  515 - 90 = 425

so there are 90 senators and 425 representatives.
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Energy and mass are related by the formula, e=mc2, where m is the mass of the object and c is the speed of light. the equation t
insens350 [35]

Energy and mass are related by the formula, E = mc², where m is the mass of the object and c is the speed of light. The equation that finds m, given e and c, is:   m = E/c²

The equation, E = mc² was coined from Albert Einstein's theory of relativity, which shows the relationship between mass and energy. It shows that energy and mass can be interchanged into each other. The equation tells us that if we multiply the mass of a body (m) with the square of the speed of light (c²), we will get the total amount of energy (E) contained in that body, which can potentially be converted to other forms of energy.

However, if are given the energy contained in a body and the speed of light, then told to find the mass of the body, we will divide the equation by the coefficient of m. The coefficient of m in the equation is c², thus:

                          E = mc²

                          E/c² = mc²/c²

   c² divided by c² is 1, therefore, the new equation is:

                               m = E/c²

 Thus, the equation that finds m, given e and c is m = E/c².

Learn more about energy and mass here:

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7 0
1 year ago
A new automated production process averages 1.4 breakdowns per day. Because of the cost associated with a breakdown, management
dalvyx [7]

Answer:

The required probability is 0.167

Step-by-step explanation:

Consider the provided information.

Let x be the number of breakdown per day.

A new automated production process averages 1.4 breakdowns per day.

λ=1.4

Probability of having three or more breakdowns during a day is:

P(x\geq 3)=1-[f(0)+f(1)+f(2)]

The Poisson probability function is: f(x)=\frac{\lambda^xe^{-\lambda}}{x!}

Therefore the required probability is:

P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]

P(x\geq 3)\approx1-0.833

P(x\geq 3)=0.167

Hence, the required probability is 0.167

4 0
3 years ago
Course Activity: Relationships Betwee
Alenkinab [10]

Answer:

yes

Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.

Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number

5 0
3 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

Number of pineapples= 10

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Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

8 0
3 years ago
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C.2(b+20)=240 is the answer

4 0
3 years ago
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