Answer:
x = 1 , y = 1 , z = 0
Step-by-step explanation:
Solve the following system:
{-2 x + 2 y + 3 z = 0 | (equation 1)
-2 x - y + z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Subtract equation 1 from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x - 3 y - 2 z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Multiply equation 2 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Add equation 1 to equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
0 x+5 y + 6 z = 5 | (equation 3)
Swap equation 2 with equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+3 y + 2 z = 3 | (equation 3)
Subtract 3/5 × (equation 2) from equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - (8 z)/5 = 0 | (equation 3)
Multiply equation 3 by 5/8:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - z = 0 | (equation 3)
Multiply equation 3 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 6 × (equation 3) from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y+0 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 2 by 5:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{-(2 x) + 0 y+3 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 3 × (equation 3) from equation 1:
{-(2 x)+0 y+0 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 1 by -2:
{x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Collect results:
Answer: {x = 1 , y = 1 , z = 0
Answer:
x= 1, y = 1, z= 0
Step-by-step explanation
-2x + 2y + 3z = 0
2x + 3y + 3z = 5
-2x - y + z = -3
2x + 3y + 3z = 5
(solving systems)
5y + 6z = 5
2y + 4z = 2
(rewriting)
z = 0
y = 1
-2x + 2 x 1 + 3 x 0
x=1
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?
Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds
Quantity of Queen city blend used in my secret coffee blend = 8 pounds
The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8
Quantity of Tanzanian blend with me = 20 pounds
Quantity of Queen city bend needed to make my secret coffee blend =
Let the quantity of Queen city blend I will need be x .
[tex] \frac{40}{8} = \frac{20}{x} [/tex]
[tex]8 \times 20 = 40 \times x[/tex]
[tex]160 = 40x[/tex]
[tex]x = \frac{160}{40} [/tex]
[tex]x = 4[/tex]
Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .
4 pounds of the Queen City coffee should you mix with it to get your secret blend.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.
In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.
We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.
Let x be the pounds of the Queen City coffee should you mix with it
Let us form a equation
40/8=20/x
Apply cross multiplication
40x=160
Divide both sides by 40
x=4
Hence 4 pounds of the Queen City coffee should you mix with it to
get your secret blend.
To learn more on ratios click:
https://brainly.com/question/1504221
#SPJ2
0.72...0.702 put < or > between the numbers in each pair
Answer:
0.72>0.702
Step-by-step explanation:
how do i determine the dimensions of a rectangle
What is the value of p in the equation shown?
3
p =-0.027
Answer:
According to the question,
3p=-0.027
By transposing '3' to the RHS, we get
p=0.027/3
= p=-0.009
So in this question p=-0.009
3y/4=21
pls urgent will mark u the brainliast
Answer:
y=28 Good Luck!
Step-by-step explanation:
Answer:
y=28
Step-by-step explanation:
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?
Answer:
75x+160<760
Step-by-step explanation:
uhh it should be that if it´s not i´m sorry
Answer:
75x+160>760
Step-by-step explanation:
A juggler throws a beanbag into the air with a speed of 1.0 \dfrac{\text m}{\text s} 1.0 s m 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction . How long does it take for the beanbag to reach its maximum height?
Answer:
0.102 s
Step-by-step explanation:
Given the following :
Initial speed (u) = 1 m/s
How long does it take the bean bag to reach maximum height?
At maximum height, the final velocity v = 0
Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²
Using the relation:
v = u + gt
0 = 1 - 9.8t
9.8t = 1
t = 1 / 9.8
t = 0.102 s
Answer:
0.10
Step-by-step explanation: Khan Academy
What is (4,5) reflected on the x-axis
Answer:
(4, -5)
Step-by-step explanation:
(4, 5) is 4 units to the right of the y-axis and 5 units above the x-axis.
When you reflect point (4, 5) over the x-axis, the new point is still 4 units to the right of the y-axis, so its x-coordinate is still 4. The distance that was above the x-axis now is below the x-axis, so the y-coordinate is -5.
Answer: (4, -5)
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2
Answer:
282
Step-by-step explanation:
322- 5(4)2
322-40
282
dose anybody know this? could you provide the step by step
Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION
Answer:
should be 15 hope I helped you out.
Step-by-step explanation:
Answer:
15 sq unit
Step-by-step explanation:
Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.
the length of the said rectangle will be l = 1 + (-2)
and the breath b = 2 + (-3)
Area= lxb = 15 sq.unit
Find the annual rate.
1. =$24, P=$400, t=2 years
2. I=$54, P=$900, t=1 year
Answer: for number one it is t=2
And for number 2 the answer is t=1
Step-by-step explanation:
How many births occurred among women over the age of 40?
Answer:
66
Step-by-step explanation:
45+17+4
Answer:
66
Step-by-step explanation:
Following the x-axis on the chart, labeled Mother's age (in years), add all the values that happened after age 40 (45 + 17 + 4 = 66)
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
Enter your answer, as a decimal, in the box.
Answer:
-3.75 and oof i got it wrong i put 3.75
Step-by-step explanation:
-6y = -72 help!!!! PLZ
Answer: y = 12
Step-by-step explanation:
Divide both sides by -6
y = -72/-6
Two negatives make a positive.
y = 72/6
Simplify 72/6 to 12
y = 12
Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet
Answer:
10,500.93 feet
Step-by-step explanation:
From the question, we are told that Tom walks 3.2km every morning.
1 mile = 1.609km
1 mile = 5280 feet
Step 1
1.609km = 1 mile
3.2km = x mile
Cross Multiply
x mile × 1.609km = 3.2km × 1 mile
x mile = 3.2km × 1 mile/1.609.
= 1.9888129273 miles
1 mile = 5280 feet
1.9888129273miles = y
Cross Multiply
y = 1.9888129273 × 5280 feet/1 mile
= 10500.932256 feet
Approximately = 10,500.93 feet
Therefore, Tom walks for 10,500.93 feet
10560
Answer:
10,500.93 feet
Step-by-step explanation:
You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?
p − 14 ≤ 50
p + 14 ≥ 50
p − 14 ≥ 50
p + 14 ≤ 50
Answer:
p + 14 ≤ 50
Step-by-step explanation:
what you pick, p , plus the 14 you have, must be less than the 50 allowed.
Answer:
p + 14 ≤ 50
Step-by-step explanation:
Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.
send help pleaseeeeeee
Answer:
The answer is d 1:2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they are similar because AB/DE=BC/EF=CA/FD = 10/20 =6/12 = 7/14 = 1/2
(SSS) the ratio ABC to DEF is 1:2
Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?
Answer:
Somebody once told me the world is gonna roll me
I ain't the sharpest tool in the shed
She was looking kind of dumb with her finger and her thumb
In the shape of an "L" on her forehead
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Verse 2]
It's a cool place, and they say it gets colder
You're bundled up now, wait 'til you get older
But the meteor men beg to differ
Judging by the hole in the satellite picture
The ice we skate is getting pretty thin
The water's getting warm so you might as well swim
My world's on fire, how 'bout yours?
That's the way I like it and I'll never get bored
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
All that glitters is gold
Only shooting stars break the mold
[Interlude]
Go for the moon
Go for the moon
Go for the moon
Go for the moon
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars
[Verse 3]
Somebody once asked, “could I spare some change for gas?
I need to get myself away from this place"
I said, "Yep, what a concept
I could use a little fuel myself and we could all use a little change"
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go (Go!)
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Outro]
And all that glitters is gold
Only shooting stars break the mold
Step-by-step explanation:
Answer:
4,000%
Step-by-step explanation:
You can solve this problem by using a proportion.
So to start the proportion draw one line then put an equal sign and draw another line.
Then start filling out the proprtion. in proprtions your is and of can make it easier to solve the problem
is $10,000_________= ______________
of 5% 100%
First multiply $10,000 dollars by 100%, you get 200,000%
Then divide 200,000% by 5% and you get 4,000%
Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.
Answer:
C) is your choice
Step-by-step explanation:
SAS Similarity
Not Similar
SSS Similarity
AA Similarity
Answer:
So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.
Step-by-step explanation:
I just took a test of this lesson so I hope im right.
Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]
If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Solve the system of equation
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
Evaluate the expression 4.02 + 3y for x = 5 and y =6
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2
Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
can someone help me with this
Answer:x+90+20=180,70*
Step-by-step explanation
i hope this helped :D