Answer:
y = 3
x = 2 - z
Step-by-step explanation:
We have the system:
2*x+y+2*z=7
2*x-y+2*z=1
5*x+y+5*z=13
In the first and second equations we have the term (2*x + 2*z) = A
Then we can rewrite the first two equations as:
A + y = 7
A - y = 1
isolating A in the first equation, we get:
A = 1 + y
Now we replace this in the other equation:
(1 + y) + y = 7
1 + 2*y = 7
2*y = 6
y = 3.
then:
A + y = 7
A + 3 = 7
A = 7- 3 = 4
A = 2*x + 2*z = 4.
Now let's go to the third equation:
(5*x + 5*z) + y = 13
we can rewrite the thing inside the parentheses as:
(5/2)*(2*x + 2*y) + y = 13
And we know that:
2*x + 2*z = 4
y = 3
then this can be written as:
(5/2)*(4) + 3 = 5*2 + 3 = 13
Then we can conclude that:
y = 3
2*z + 2*x = 4
2*(z + x) = 4
(z + x) = 4/2 = 2
x = 2 - z
Notice that the solution is not only a point, we have infinite solutions for this problem.
Determina el número de átomos que tiene una
muestra de 0.7 gramos de uranio puro si la
masa de un átomo de uranio es de 4 x 10^-25 kg
Tomando el cociente entre la masa de la muestra y la masa de un átomo, veremos que hay 1.7*10^21 átomos de uranio en la muestra.
¿Como podemos determinar el número de átomos?Para determinar el número de átomos en la muestra, simplemente debemos dividir la masa de la muestra (0.7 gramos) por la masa de un átomo de uranio (4*10^(-25) kg)
Donde la complicación viene por que tenemos distintas unidades.
Para resolver esto, podemos escribir la masa de la muestra en kilogramos.
Sabemos que: 1g = 1*10^-3 kg
Entonces podemos reescribir la masa de la muestra como:
0.7g = (0.7)*(10^-3 kg) = 7*10^-4 kg
Ahora si podemos tomar el cociente, el número de átomos esta dado por:
[tex]N = \frac{7*10^{-4}kg}{4*10^{-25}kg} = 1.7*10^{21}[/tex]
Así podemos concluir que hay 1.7*10^21 átomos de uranio en la muestra.
Sí quieres aprender más sobre átomos, puedes leer:
https://brainly.com/question/16929981
A cone has volume 3π.
If the cone’s radius is 1, what is its height?
If the cone’s radius is 2, what is its height?
If the cone’s radius is 5, what is its height?
If the cone’s radius is 12, what is its height?
If the cone's radius in r, then what is the height?
Im so confused on how to start
Answer:
r=1, h=9
r=2, h=2.25
r=5, h=0.36
r=12, h=0.0625
r=r, h=9/r²
Step-by-step explanation:
Volume of a cone = πr²h/3
3π=πr²h/3
r²h=9
when r=1?
r²h=9
1²h=9
h=9
when r=2?
r²h=9
2²h=9
4h=9
h=2.25
when r=5?
r²h=9
5²h=9
25h=9
h=0.36
when r=12?
r²h=9
12²h=9
144h=9
h=0.0625
when r=r?
r²h=9
h=9/r²
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
VolumeVolume is the amount of space that is occupied by a three dimensional object.
The volume of a cone (V) is given by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1:
3π = (1/3)π*(1)² * h
h = 9
For a radius of 2:
3π = (1/3)π*(2)² * h
h = 2.25
For a radius of 5:
3π = (1/3)π*(5)² * h
h = 0.36
For a radius of 12:
3π = (1/3)π*(12)² * h
h = 0.02
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Find out more on Volume at: https://brainly.com/question/1972490
Find the value of x in the triangle shown below.
Answer:
i think C
Step-by-step explanation:
Urgent!
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)?
A. 2x + 6
B. 2x - 6
C. 2x + 4
D. 2x - 4, r = 1
Answer: The answer would be c 2x + 4
Step-by-step explanation:
Solve for .
Simplify your answer as much as possible.
The expression 3(x-9) is equivalent to
3(x)+9.
3(x)+3(9).
3(x) – 9.
3(x) – 3(9).
Answer:
3(x-9)
when you distribute the equation you get
3(x)-3(9) which is the last answer
Step-by-step explanation:
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PLEASE HELP!!!! ANSWER QUICK 30 POINTS!!!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.
Answer:
3rd one : 2.1x10-³
4th one : 3.7
Answer:
The guy above me is correct, but for some clarification:
1: 7.8
2: 3.3 * 10^3
3: 2.1 * 10^-3
4: 3.7
Your shirt drawer contains a different colored shirts that you were over the next eight days what is the probability that you randomly choose the orange shirt to wear today and the red shirt to wear tomorrow
Step-by-step explanation:
four times only......................
[tex]7x-4+35=72[/tex]
Answer:
7x - 4 + 35 = 72
7x + 31 = 72
7x = 41
x = 41/7 *you cant simplify*
x = 5 6/7 as a mixed number
Step-by-step explanation:
hope this helps
A manager at a coffee shop is mixing his own coffee blend. He is using beans from Zimbabwe (z), which have a 1.10% caffeine content, and beans from Costa Rica c which have a 1.35% caffeine content. If he wants to make an 11-pound blend that has a 1.16% caffeine content, which system of equations would allow him to determine how much of each type of bean to include in the blend?
Answer:1.1z+1.35c=1.16(11)
Step-by-step explanation:
I did the test
Can anyone explain if these 2 triangles are similar and if so how.
Answer:
yes
Step-by-step explanation:
one is just bigger than the other
the angles are still the same
What is the greatest common factor of 51, 24, and 81?
Answer:
3
Step-by-step explanation:
hope this helps
In 2019, Broward County had a population of about 1.95 million people and covered an area of about 1,210 square miles. What was the approximate population density of Broward County in 2019?
219,45656837198276857689087657
Write two fractions that are equivalent to the given fraction.
5/7
Answer:
10/14 25/35
Step-by-step explanation:
For the first one multiply times 2
For the second one multiply times 5
is 35,32,29,26 arithmetic
Answer:
Step-by-step explanation:
Yes, the defining characteristic of an arithmetic sequence is that any term subtracted by the previous term is a constant, called the common difference. In this case the common difference is 32-35=29-32=26-29= -3
What 2 + 2 + 3 + 65 + 1
Answer:
73
Step-by-step explanation:
2+2+3+65+1
=4+3+65+1
=7+65+1
=72+1
=73
how do you graph 7x + 2y = -8
Answer:You set it up as y=mx+b
Step-by-step explanation:
HELP ILL GIVE BRAINLISTTT!
Answer: √0.16
Step-by-step explanation:
√0.16 = 0.4
Please help!
Are these triangles similar?
Answer:
no
Step-by-step explanation:
every triangle adds to 180 degrees
each triangle has different degrees that add to 180 along with different hypontuse
Work out the volume of this sphere.
Leave your answer in terms of pi
Answer:
Volume of sphere = 36π cm³
Step-by-step explanation:
Given:
Radius of sphere = 3 cm
Find:
Volume of sphere.
Computation:
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)π(3)³
Volume of sphere = (4/3)π(27)
Volume of sphere = 36π cm³
WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brainly!!!
Answer: ye its 9072
Step-by-step explanation:
Simplify. Use the ^ to show an exponent and the / for the fraction bar.
3x5y3 / 6x2y4 =
Will mark brainliest who answers correct and with explanation step by step
Which equation can be used to solve for x in the parallelogram below?
A) 3x-12=6x+12
B) (7x-8)+(6x+12)=90
C) 3x-12=2x+8
D) (7x-8)+(6x+12)=180
Answer:
B. (3x - 12)° = (2x + 8)°
Step-by-step explanation:
This equation can be used to solve x.
3x - 12 = 2x + 8
3x - 2x = 12 + 8
x = 20°
-------------------------------------------------------------------
Verification:
3(20) - 12 = 2(20) + 8
60 - 12 = 40 + 8
48° = 48°
Autumn's family took a road trip to Mount Rushmore. Autumn fell asleep 39% of the way through the trip. If Autumn fell asleep after they had travelled 351 miles, what was the total length of the trip?
Answer:
900 miles long
Step-by-step explanation:
Given data
Le the total mile of the trip be x
Autumn fell asleep at 39% of the trip, which is equal to 351 miles
so
=39/100*x= 351
0.39x= 351
divide both sides by 0.39
x= 351/0.39
x= 900 miles
Hence the trip is 900 miles long
Answer:
900
Step-by-step explanation:
900
If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2
Answer:
A
Step-by-step explanation:
Just plug in [tex]x=a+2[/tex].
A store had a sale on baseball cards, so Percy bought several baseball cards to give as gifts. He gave a total of x cards away to 5 friends. Each friend got 4 baseball cards. Write and solve an equation to figure out how many baseball cards Percy gave away.
how many solutions does 3(x+5) = x+10?
Answer:
one
Step-by-step explanation:
distribute: 3x+15 = x+10
add like terms: 2x = -5
divide: x= -5/2
pleaseee help ill mark brainliest i swear please help
Answer:
45
Step-by-step explanation:
each bracelet takes 15 min
15*3=45
1 hour = 60 minutes..
In 1 hour she makes 4
In 2 hours (120 minutes) she makes 8
So in each hour she makes 4 ( 8 /2 = 4)
So In 3 hours she will make 3 x 4 = 12 bracelets
which expression is equivalent to 4/9(2n - 3)
Answer:8n/9 - 12/9 = 8n/9 - 4/3
Step-by-step explanation:
4. A right triangle has legs with lengths of 6 feet and 9 feet. The hypotenuse of the triangle, in feet,
is between:
A. 4 and 5
B. 6 and 9
C. 9 and 10
D. 10 and 11
E. 11 and 13
Answer:
D. 10 and 11
Step-by-step explanation:
This problem would use pythagorean theorem because we're finding the hypotenuse of a right triangle. This is its standard equation:
[tex]a {}^{2} + {b}^{2} = {c}^{2} [/tex]
The legs represent [tex]a[/tex] and [tex]b[/tex] respectively, and [tex]c[/tex] represents the hypotenuse. After plugging in the legs' respective values, the equation looks like this:
[tex]6^{2} + {9}^{2} = {c}^{2} →36 + 81 = {c}^{2} →117 = c^{2} [/tex]
To isolate [tex]c[/tex], you would find the square root of [tex]117[/tex]. In this case, we're just finding which integers[tex] \sqrt{117} [/tex] is between. [tex]\sqrt{100}(=10)[/tex] is the closest integer value below [tex]\sqrt{117}[/tex] and [tex]\sqrt{121}(=11)[/tex] is the closest integer value above [tex]\sqrt{117}[/tex]. So the answer is D. 10 and 11.