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Nikolay [14]
3 years ago
12

Which expression is equivalent to (20x +5.5)+(−34x−2.5)?

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

−14x+3

Step-by-step explanation:

Combine Like Terms:

20x+5.5+−34x+−2.5

(20x+−34x)+(5.5+−2.5)

= −14x+3

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The isotope cobalt-60 has a nuclear mass of 59.933820 u
Anit [1.1K]

To start this question, we should know what is the atomic number of cobalt. The atomic number (the number of protons) of Cobalt is Z =27.

Now, we know that a Cobalt 60 isotope means an isotope of Cobalt whose Atomic Mass is 60.

Thus, in a Cobalt 60 isotope, the number of neutrons in the nucleus are

60-Z=60-27=33

From the question we know that the given nuclear mass is 59.933820 u.

Now, the mass defect of Cobalt 60 can be easily calculated by adding the masses of the protons and the neutrons as per our calculations and subtracting the given nuclear mass from it.

Thus,

Mass Defect = (Number of Protons Mass of Proton given in the question) + (Number of Neutrons Mass of Neutron given in the question)-59.933820 u

\therefore 27\times 1.007825+33\times 1.008665-59.933820=0.5634 u

Thus, the required Mass Defect is 0.5634u.

In eV, the Mass Defect is 931.5MeV\times 0.5634=534.807 MeV

6 0
3 years ago
Read 2 more answers
Write the following as a ratio: $72 for 488 photos
weeeeeb [17]

Answer:

The required ratio is 9 : 61

Step-by-step explanation:

Given,

$72 for 488 photos,

That is, the price of 488 photos = 72 dollars,

So, the ratio of price of photos and number of photos = \frac{72}{488}

∵ HCF(72, 488) = 8,

Thus, the ratio of price of photos and number of photos = \frac{72\div 8}{488\div 8}

= \frac{9}{61}

3 0
4 years ago
Please answer it now in two minutes
zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

sin X = \frac{6}{7}

sin X = 0.8571

X = sin^{-1}(0.8571)

X = 58.99

m < X = 59.0 (rounded to nearest tenth)

4 0
3 years ago
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

x+3y\le 36.

2. Tyler can carry up to 20 pounds of food in his backpack, then

x+1.5y\le 20.

You get the following system of inequalities:

\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.

Now substitute the coordinates of each point:

<u>(1,12):</u>

\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.

False, because first inequality doesn't hold.

<u>(2,10):</u>

\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.

True, both inequalities hold.

<u>(4,5):</u>

\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.

True, both inequalities hold.

<u>(6,10):</u>

\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.

False, because secondt inequality doesn't hold.

<u>(12,8):</u>

\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.

False, because second inequality doesn't hold.

<u>(18,6):</u>

\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.

False, because second inequality doesn't hold.

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3 years ago
Given:angleONL congruent to angleMLN, angleO and angleM are right angles.
Harrizon [31]

ok so hi im elizabeth can i help you

8 0
3 years ago
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