Answer:
x = 3
Step-by-step explanation:
2x - 3y - z = 7 (equation 1)
3x + 5y - 3z = -2 (equation 2)
4x – y + 2z = 17 (equation 3)
(1) * 3 : 6x - 9y - 3z = 21 (1)'
(1)' - (2) : 3x - 14 y = 23 (equation 4)
(1) * 2 : 4x - 6y - 2z = 14 (1)"
(1)" + (3) : 8x - 7y = 31 (equation 5)
(5)*2 : 16x - 14y = 62 (5)'
(5)' - (4) : 13x = 39
x = 3
So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
Step-by-step explanation:
MAy yoy make it bigger
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds
Write a quadratic function f whose zeros are 5 and -2
Answer:
y = (x-5)(x+2)
Step-by-step explanation:
the zeros are the solution to 'x' of each factor:
x-5=0; x=5
x+2=0; x = -2
For which value of x does each expression make sense
[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]
There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?
The number of students that play hockey is 7
The proportion is given as:
[tex]Piano =\frac 12[/tex]
[tex]Hockey =\frac 14[/tex]
[tex]School\ Play =\frac 17[/tex]
The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:
[tex]Hockey =\frac 14 \times 28\\[/tex]
Multiply
[tex]Hockey =7[/tex]
Hence, 7 students play hockey
Read more about common multiples at:
https://brainly.com/question/290451
K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
please help!
53°
44°
46°
xº
Rewrite using a single positive exponent.
(5-3)*
To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.
Step-by-step explanation:
Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below if you have it)
But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:
[tex]\frac{1}{5^3}[/tex]
This is our final answer.
The reciprocal indices law states that:
[tex]x^{-n} = \frac{1}{x^n}[/tex]
Hope this helps!
How do I solve for X
Answer:
ask crohme it knows the answer
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
2. What is the equation of a line that has a slope of 3 and passes through the point(-1,4)?
y + 4 = 3(x - 1)
y - 1 = 3(x + 4)
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)
Answer:
last one
Step-by-step explanation:
point slope form:
[tex](y - y1 )= m(x - x1)[/tex]
just plug in the numbers and you will get the answer:
[tex](y - 4) = 3(x + 1)[/tex]
what is the equation of the line that passes through the point (0, -2) with a slope of 2
Answer:
Step-by-step explanation:
You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.
This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!
y = 2x -2
will mark brainly
Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]
On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday
Answer:
0.808 you find the difference between the two numbers
y³ written in expanded form is
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
Help me with this fractions work
Step-by-step explanation:
a. 5 2/5 can be converted to 27/5
Multiply the numerators and denominators of 7/9 and 27/5
You will get: 189/45
This can be simplified to 21/5
b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6
Using the same process as before, you get: 175/24
Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
Answer:
1/2
[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
(10²)²
(EXPONENT FORM ONLY)
(i think it's 10⁴ but im not sure)
Answer: 10^4
Step-by-step explanation:
You can multiply the exponents to get 10^4.
what is 3 1/3, 3.337,33/10,3.11 from least to greatest
Answer:
1/3 < 3 < 33/10 < 3.337 < 3.11
Step-by-step explanation:
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answer:
545256
Step-by-step explanation:
Use the graph to describe what transformation has taken place. List your answer below.
please help!
Answer:
reflection over the y axis
Step-by-step explanation:
i need help with this i dont know how to do it...
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]