Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
Find the difference of 2/3 and 3/5.
Answer:
1/15
Step-by-step explanation:
2/3*5/5 - 3/5*3/3( we are multiplying and dividing by the same number in order to get the same denominator. as 5/5 = 1 and 3/3= 1)
2/3*5/5 - 3/5*3/3
= 10/15-9/15
= 1/15
8. To calculate 159 - 73, a student writes the follow-
ing equations:
160 - 70 = 90 - 3 = 87 - 1 = 86
Although the student has a good idea for solving the problem, their equations are not correct. In words, describe the student's solution strategy and discuss why the strategy makes sense; then write a correct sequence of equations that correspond to
this solution strategy.
Write your equations in the following form:
159 - 73 = some expression
= some expression
=….
= 86
The question is an illustration of solving equations using estimates.
The student's strategy makes sense because he uses estimation to solve the given equation
The correct sequence of equation is as follows:
[tex]\mathbf{159 - 73}[/tex][tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex][tex]\mathbf{159 - 73 =90- 4}[/tex][tex]\mathbf{159 - 73 =86}[/tex]We have:
[tex]\mathbf{159 - 73}[/tex]
Add 0 to the equation
[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]
Express 0 as 1 - 1
[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]
Add another 0
[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]
Express 0 as 3 - 3
[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]
Rewrite as:
[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]
Solve
[tex]\mathbf{159 - 73 =90- 4}[/tex]
[tex]\mathbf{159 - 73 =86}[/tex]
Read more about estimation and equations at:
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what is 7 1/2 divided by 5 5/8
Answer:
1.33
Step-by-step explanation:
9514 1404 393
Answer:
4/3
Step-by-step explanation:
If you're familiar with decimal equivalents (or even if you're not), you can use your calculator to compute the quotient:
7.5/5.625 = 1.333333333...
The rational number equivalent of the result is 4/3.
__
If you like to work directly with the rational numbers, you can write the ratio as ...
(7 1/2)/(5 5/8) = (7 4/8)/(5 5/8) = (60/8)/(45/8) = 60/45 = 4/3
Find the values of a and b.
9514 1404 393
Answer:
(c) a = 14; b = 6√2
Step-by-step explanation:
If you draw a vertical line at the right end of the top segment, it will cut off an isosceles right triangle to its right. That triangle is shown as having a leg length of 6, so the length of 'a' is ...
a = 8 +6 = 14
The hypotenuse of an isosceles right triangle is √2 times the leg length, so ...
b = 6√2
The cube of the cubic fish tank is 27 cubic feet what is the height of the fish tank
Answer:
ITS 9
Step-by-step explanation: i just had to divide the 27 by 3 because if its a cube cubes are the same hieght langth and width of each other so it is 9
A regular octagon divides
into how many triangles
(drawn from a point in the
center of the octagon)?
Answer:
8
Step-by-step explanation:
a triangle for each side
robby raises holstein and jersey cows on his farm in the ratio of 7:5 if he has a total of 48 cows on his farm how many holstein cows does he own?
Answer:
28
Step-by-step explanation:
The total amount of cows is 48 and is split into 12 groups (7+5).
So 1 group is 48÷12=4
1 group=4
He owns 7 groups of Holstein cows.
So if 1 group is 4, 7 groups is 7x4=28.
28
The number of Holstein cows, if The ratio of Holstein and jersey cows is 7:5, and the Total number of cows is 48, is 28.
What is ratio?It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3. If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios.
Given:
The ratio of Holstein and jersey cows is 7:5,
Total number of cows = 48
Calculate the values as shown below,
Assume the number of Holstein cows is 7x
7x + 5x = 48
12x = 48
x = 4
Thus, the number of Holstein cows is 7 × 4 = 28
To know more about Ratios:
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8% of what number is 1.2
what steps were taken to solve the equation? solve the equation.
Answer:
x = 19/3
Step-by-step explanation:
Step 1 = x - 4 = 7/3
Step 2 = x = 7/3 + 4
[(4*3)+7]/3 = 19/3
the price of a stock was $52.63 when the stock market opened.it rose to $61.50 when the stock market closed.Find the percent of change of the stock price during the day
Answer:
3 and t pies holnden farmall travtor
What is the range of the following relation?
Answer:
The range is the y-values that satisfices the graph. 0 to all negative numbers.
Step-by-step explanation:
The graph highest value is 0 on the y-axis and goes down ( any negative numbers).
3 • f (-4) -3 • g (-2)=
Answer:
F=g^2+6
Step-by-step explanation:
Simplify:
1. Assume you need to multiply the variables by the numbers next to them:
[tex]3 * f (-4) - 3 * g (-2)=-12f + 6g[/tex]2. Assume the number next to the variables mean exponents:
[tex]3 * f ^{-4} - 3 * g^{-2}=3/f^4-3/g^2=3(g^2-f^4)/f^4g^2[/tex]Hi am here spidey taylor
Answer:
this is my another account on brainly
Dylan saves 7% of his $1450.00 bi-weekly net pay. Determine how many periods it will take for Dylan to have $5800.00 saved.
Answer:
Here,
2 weeks savings is 1450×(7/100) dollars = 101.5 dollars
So, Dylan can save,
101.5 dollars in 1 periods
1 dollars in 1/101.5 periods
5800 dollars in 5800/101.5 periods = 57.142 or 58 periods
Answer = 58 periods
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 4. If there were 2874 yes votes, what was the total number of votes?
Answer:
6702
Step-by-step explanation:
2874/3*(3+4)=6702
Identify the domain and the range of the relation shown in the figure.
Answer:
Domain is the X values, Y is the range Values
Step-by-step explanation:
(0,0) both domain and range is 0
(4,-1) 4 is the domain, -1 is the range
(1,5) 1 is the domain, 5 is the range
(-2,-4) -2 is the domain, -4 is the range
(-5,-1) -5 is the domain, -1 is the range
(-5,3) -5 is the domain, 3 is the range
(sorry if this is not the thing you are looking for but this is what I know)
Answer:
Domain: [tex]4\leq x\leq -5[/tex]
Range: [tex]-1\leq y\leq 3[/tex]
Step-by-step explanation:
In a relation, WE CAN IDENTIFY THE DOMAIN AND RANGE by looking at the points.
https://brainly.com/question/11447256
using de moivre's theorem to find square roots of (2-2√ 3 i)
Let z = 2 - 2√3 i. In polar form, we have
[tex]z = |z| e^{i\arg(z)}[/tex]
where
[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]
[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]
Equivalently,
[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]
Let w be a complex number such that w ² = z. By DeMoivre's theorem,
[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]
where k ∈ {0, 1}. So the two square roots of z are
[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]
[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]
[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]
A park ranger spent $120 to buy 8 trees. Redwood trees cost $20 and spruce trees cost $12
each. How many of each tree did the park ranger buy?|
Answer:
3 Redwood trees
5 Spruce trees
Step-by-step explanation:
Over what interval is the function decreasing?
PLS HELP. (step by step explanation preferred. )
Step-by-step explanation:
according to the drawing, the minimum value of the function is 0, the domain of the function decreasing is x < 0,
so, the correct answer is
a. (-oo, 0)
A kayak rental pavilion charges $15.00 per hour and $2.50 for a brief lesson on kayak safety. The total cost y to rent the kayak for x hours is given by y = 15x + 2.5. Interpret the slope and y-intercept.
Answer:
Step-by-step explanation:
What is (23)(−98)(−45)(−1)
Answer:
(23)(−98)(−45)(−1)= -101430
What is the answer for 2x+34
Answer:
16
Step-by-step explanation:
A group of 20 friends plays a card
game. The game can be played with
2 or more teams of equal size. Each
team must have at least 2 members.
List the possible numbers and sizes
of teams.
There can be two groups of 10 players on each team, or four groups of 5 on each team.
Nikita bought a flat for rupees 4987653. Round off the price of the flat to the nearest thousands.
Steven has $50 yend on drinks for his coworkers. The
cholces are fresh orange juice, which costs $2 75 per
cup, and coffee, which costs $2.50 per cup. I Steven
spends $31 and purchases twice as many cups of coffee
as cups of orange juice, how many ops of orange julce
does he buy?
A-1
B-2
C-6
D-8
E-16
Answer:
I'm pretty positive it's C but I may be wrong, sorry if I am.
Step-by-step explanation:
Anybody? need help asap
Answer:
x = -1
Step-by-step explanation:
5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms
3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides
x = -1
How many bagels can u make in 18 hours
Answer:
4 but i'm bad at cooking cause i'm 15 so
Step-by-step explanation:
Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.
The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
[tex]y = x + \epsilon[/tex] (1)
Where:
[tex]x[/tex] - Measured magnitude, in millimeters.[tex]y[/tex] - Possible magnitude, in millimeters.[tex]\epsilon[/tex] - Uncertainty, in millimeters.If we know that [tex]y = 67.5\,mm[/tex] and [tex]\epsilon = 1\,mm[/tex], then the lower bound of the measurement is:
[tex]y = 67.5\,mm - 2\cdot (1\,mm)[/tex]
[tex]y = 65.5\,mm[/tex]
The lower bound of the measurement is 65.5 millimeters.
We kindly invite to check this question on measurements: https://brainly.com/question/4205362
2^2 x 5^2 is the prime factorization of what number
Answer:
100 is the correct answer.
Step-by-step explanation:
=2×2×5×5
=4×25
=100
Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. :)
Answer:
2^2 × 5^2
2× 2 × 5×5
4 × 25
100
A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she have left?
Answer:
= 17.25 pounds (Answer)
Step-by-step explanation:
Potatoes she bought = 23 pounds
Amount she gave outsiders= 10+15=25%
= 23×25/100= 23/4=5.75 pounds
Potatoes left with her= 23 — 5.75
= 17.25 pounds (Answer)
Answer:
17.25 pounds
Step-by-step explanation:
10% of 23 is 2.3
15% of 23 is 3.45
Add them together you get 5.75
Subtract 5.75 from 23
Answer is 17.25