Answer:
x = 3, y = 3, z = - 2
Step-by-step explanation:
Given the 3 equations
x - y - 2z = 4 → (1)
- x + 3y - z = 8 → (2)
- 2x - y - 4z = - 1 → (3)
Add (1) and (2) term by term to eliminate x
2y - 3z = 12 → (4)
Multiply (1) by 2 and add to (3) to eliminate x
2x - 2y - 4z = 8 → (5)
Add (3) and (5) term by term to eliminate x
- 3y - 8z = 7 → (6)
Multiply (4) by 3 and (6) by 2
6y - 9z = 36 → (7)
- 6y - 16z = 14 → (8)
Add (7) and (8) term by term to eliminate y
- 25z = 50 ( divide both sides by - 25 )
z = - 2
Substitute z = - 2 into (7)
6y + 18 = 36 ( subtract 18 from both sides )
6y = 18 ( divide both sides by 6 )
y = 3
Substitute y = 3 and z = - 2 into (1)
x - 3 + 4 = 4
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Solution is x = 3, y = 3, z = - 2
Jonathan went for a jog every time he stops to tie his shoelaces, his jog last. 2 1/2 minutes longer . if he stops to tie his shoelaces four times how much longer does his jog take?
Answer:
10 minutes longer
Step-by-step explanation:
2 1/2 (or 2.5) times 4 equals 10.
what is -18+-90 i know im just answering it for you
Answer:
-18+(-90) = -18-90 = -108
Answer:-108
Step-by-step explanation:
PLEASE HELP!!! I AM BEING TIMED!
which of the following are Pythagorean triples?
One number is 4 more than three times a smaller number. If twice the lager number is decreased by three times the smaller number, the result is 32. Write an equation and solve to determine the numbers.
-3n-4n-17=25
What is n?
Answer:
-6
Step-by-step explanation:
add -3n and -4n= -7n
add 17 to 25
-7n=42
n=-6
Help needed ASAP will give you BRAINLIEST and 5 STARS RATE
Answer:
the 3 one
Step-by-step explanation:
the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.
Hope u do good on ur test or whtevr this is!!!!
Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions.
Answer:
I would say 6 or 4, if we don't know which direction he is walking
(11,-7) (-5,-5) midpoint
Answer:
(3,-6)
Step-by-step explanation:
The midpoint is the halfway distance between two points.
11+(-5)/2, -7+(-5)/2=
11-5/2, -7-5/2=
6/2, -12/2=
(3, -6)
Which of these represents the final step to a no solution problem?
1=1
x=2
x=x
2=3
Answer:
I'm probably incorrect, but I think it's the 3rd one
c + d, for c= (-6) and d = (- 12)
Answer:
-18
Step-by-step explanation:
1st- Subsitute the numbers
c + d c=-6 d=-12 (-6) + (-12)
Remember ( +, +) signs add ( +, - ) signs subtract
2nd- Add the two numbers (-6) + (-12) = -18
Hannah and Noah cannot stop eating chips and candy. Together, they
bought a total of 17 items at the store. If a bag of chips costs $3.50, a bar of
candy costs $1.75 and they spent $47.25, how many bags of chips did they
buy? *
Answer:
10 bags of chips
Step-by-step explanation:
at first i tried 15x3.50 and that was too much then i tried 13x3.50 and same result so i then tried 10x3.50 and i got 35 then did 7x1.75 and got 12.25 then when you add them together its 47.25...
srry for the late answer....
4 (3x + 2)-6
I neeeed help
Answer:
12x - 2
Step-by-step explanation:
Step 1: Write expression
4(3x + 2) - 6
Step 2: Distribute 4
12x + 8 - 6
Step 3: Combine like terms
12x - 2
Solve for .
Enter the solutions from least to greatest.
-x^2-8= -33
lesser x =
greater r =
Answer:
x = -5, or x = 5
Step-by-step explanation:
First, add both sides by 8: -x^2 = -25
Then, multiply both sides by -1: x^2 = 25
Lastly, take the square root of both sides: x = -5, or x = 5
Answer:
lesser -5
greater 5
Step-by-step explanation:
khan academy
A gym membership costs $110 to open and $30 per month after
1. What is the dependent and independent variable
2. Explain how you know the variables are independent or dependent
3. Is the relationship linear or non linear? Explain your reason
4. Do you think that given enough information you could create a table,graph, and an equation for the function? Why or why not
5. What information would you need to make your table/graph/equation?
Answer:
1) The dependent variable is the monthly charge and the independent variable is the $110 to open the membership.
2)The dependent variable is the monthly charge because it will change depending on how many months you plan to keep your membership.
3)This relationship is linear because it will go up by $30 every month.
4)You could create a graph off of this information because all you would need to do is graph the cost each month.
5)I would need the number of month that I would keep the membership going and the amount that i have already paid.
Write the equation of a line that is perpendicular to y = 7/5x + 6 and that passes through the point (2,-6).
Answer:
y = -5/7x - 32/7
Step-by-step explanation:
Perpendicular slopes are "opposite reciprocals."
7/5 goes to 5/7, then -5/7 (if you don't get it you can comment)
So the perpendicular equation line: y = -5/7x + b (you don't know the y-intercept yet)
Substitute (2, -6) because that perpendicular line is going through it.
-6 = -5/7(2) + b
-6 = -10/7 + b
-42/7 = -10/7 + b
-32/7 = b
Perpendicular line equation: -5/7x -32/7
Write the equation in standard form. 0.5x = y - 4
Answer:
y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)
Step-by-step explanation:
y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.
m = linear coefficient/slope(denoted by a in a 1 degree binomial)
b = constant coefficient / y-intercept (denoted by b in a 1 degree binomial)
to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.
0.5x = y - 4
0.5x (+4) = y - 4 (+4)
0.5x + 4 = y
y = 0.5x + 4
Answer:
y=0.5x+4
Step-by-step explanation:
0.5x= y-4
add 4 on both sides
and then you get:
y=0.5x+4
Y = -(X +5) + X +4 if X = -4, Y = ?
Answer:
y=-1
Step-by-step explanation:
Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida. He then flies from Miami to San Juan, Puerto Rico, a distance of 1,033 miles. How many miles will he travel flying from Columbus to San Juan? How many more miles does he have to fly to Kralendijk?
Answer:
460 miles
Step-by-step explanation:
Given
Total = 2488 miles
Miami = 995 miles
San Juan = 1033 miles
Required
Determine the remaining distance
Assuming the points are on a straight path.
The remaining distance is:
Remainder = Total - Miami - San Juan
Remainder = 2488 - 995 - 1033
Remainder = 460 miles
Is this right? Also what do I have to right in the box.
Answer:
WHAT IS RIGHT
Step-by-step explanation:
Is this right? Also what do I have to right in the box. WHAT IS...
Help help help help help
Answer:
how how how how how how how
Pls help me (don’t mind the yagami Yato)⭐️
Answer:
7 1/2 or 7.5
Step-by-step explanation:
3 ÷ 2/5 = ?
To divide you need to flip the second fraction and multiply:
3/1 x 5/2 = 7 1/2 or 7.5
For his art project, Dorian is using square tiles of different sizes and colors to make a mosaic. The first three tiles are: 1. A = 5 cm2 2. A = 7 cm2 3. A = 9 cm2
which tile's side lengths will Dorian need to estimate?
Answer:
3cm²
Step-by-step explanation:
Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square
Area of a square = L²
L is the side length of the tiles
For the tiles with area 7cm²
7 = L²
L² = 7
L = √7
L = 2.65cm
For tiles with area 5cm²
5 = L²
L² = 5
L = √5
L = 2.24cm
For tiles with area 9cm²
9 = L²
L² = 9
L = √9
L = 3.0cm
Since for all the square tiles the length of the tile is ≤ 3 cm, then the tile's side lengths that Dorian will need to estimate is approximately 3cm
1) Jesse agrees to watch his friend's dog, Spot. His friend leaves 119 ounces of
Spot's dog food for the week. How much food will Spot eat each day?
Answer:
17 ounces
Step-by-step explanation:
you first divide 119÷7 = 17 which is your answer
Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and earned $535.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.
Answer:
[tex]r = \$14.71[/tex]
Step-by-step explanation:
Given
Normal Hour = 32 hours
Overtime = Hours above 32
Rate for Overtime = 1.4 times normal rate
Earnings = $535.62
Required
Determine the normal hour pay
First, we need to determine the hours worked overtime.
This is:
[tex]Overtime = 43 - 32[/tex]
[tex]Overtime = 11[/tex]
The equation that binds all the parameters is:
[tex]Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate[/tex]
This gives:
[tex]535.62 = 21 * r + 11 * 1.4r[/tex]
[tex]535.62 = 21r + 15.4r[/tex]
[tex]535.62 = 36.4r[/tex]
Solve for r
[tex]r = 535.62/36.4[/tex]
[tex]r = \$14.71[/tex]
yoo ill give brainiest doe
Answer:
2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 5 limbs, lost 12 limbs, and grew another 2 limbs. How many limbs does the mutant-zombie have compared to yesterday?
Answer:
Today it has 5 limbs but there is only half the info. Where is the rest or the question?
Step-by-step explanation:
Answer:
5 limbs i think im not sure
Step-by-step explanation:
Please help me out!
Answer: Rotate 180 degrees around the origin
You can do this clockwise or counterclockwise.
Whenever we move from one quadrant to the complete opposite quadrant like this, we perform a 180 degree rotation. Connect any preimage point to its corresponding image point, and this segment will go through the origin. This works because the origin is the center of rotation, and only works with 180 degree rotations.
Wally's grandmother started a college savings account for him with
$3,000. What is the total amount of money in the account after 5 years if
the annual simple interest rate is 3%?
I need this plz help explain the proses thx ASAP
Answer:
$450
Step-by-step explanation:
You want to calculate the interest on $3000 at 3% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $3000.00.
r is the interest rate, 3% per year, or in decimal form, 3/100=0.03.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 3000 × 0.03 × 5 to get that:
The interest is: $450.00
Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),
or 3000.00 + 450.00 = 3450.00.
How much is -1/4 of 1 1/3?
A. -1/3
B. 3/16
C. 1 1/12
D. -5 1/3
Answer:
-0.33333333333 or A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Translate and solve. Use the letter (x) for your variable.
The difference of (-12) and some number is ten.
Step-by-step explanation:
let the unknown be x
(-12) - x = 10
(-12) - 10 = x
-22 = x
if you wanna check,
(-12) - (-22) = 10
10 = 10
