Answer:
(13, -10, -7)
Step-by-step explanation:
Given
x+y+z=−4 .................. 1
2x+3y−2z=10 .................... 2
−x+2y−3z=−12 ................... 3
Reduce the equation to two equations, two unknowns:
Add eqn 1 and 3
y+2y+(z-3z) = -4-12
3y - 2z = -16 .......... 4
Also multiply eqn 3 by 2:
−2x+4y−6z=−24 ................... 5
Add 2 to 5:
3y+4y+ (-2z-6z) = 10-24
7y-8z = -14 ............... 6
Equate 4 and 6
3y - 2z = -16 .......... 4 * 4
7y-8z = -14 ............... 6 * 1
...............................................
12y - 8z = -64
7y-8z = -14
Subtract the resulting equations
12y-7y = -64+14
5y = -50
y = -50/5
y = -10
Substitute y = -10 into equation 4 to get z:
3y - 2z = -16
3(-10)-2z = -16
-30-2z = -16
-2z = -16+30
-2z = 14
z = 14/-2
z = -7
Substitute y = -10, z = -7 into eqn 1 to get x:
x+y+z = -4
x-10-7 = -4
x-17 = -4
x = -4+17
x = 13
Hence (x, y, z) is (13, -10, -7)
Question 3
65% of 700
Question 4
25% of 84
Answer:
question 3The answer for 65% of 700 is 455
Answer:
3= 455
4= 21
Explanation:
700 x .65
84 x .25
The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain
At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?
Show your work in the box below.
Answer _____________ price per gram of gold
Answer:
THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL
Step-by-step explanation:
he pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 115 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) belo
Answer:
97
Step-by-step explanation:
Given that:
Low = 43bpm
High = 115 bpm
Error = 3
α = 90%
To find the range estimate :
Standard destviation = (high - low) / 4
Standard deviation = (115 - 43) / 4
Standard deviation = 72/4 = 18
The sample size,(n) :
n = [(Zα/2 * sd)/E] ²
2 - tail = (Zα/2) = 1.645
[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²
= 97.41
Sample size = 97
A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 8 face cards. Leave your answer as a reduced fraction.
Answer: [tex]\dfrac{9}{66892280}[/tex]
Step-by-step explanation:
Number of combinations of r things from n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Number of combinations of choosing 9 cards out of 52 = [tex]^{52}C_9=\dfrac{52!}{9!(52-9)!}=3679075400[/tex]
Total face cards = 12
Number of combinations of choosing 8 face cards = [tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}=495[/tex]
Required probability = [tex]\dfrac{495}{3679075400}=\dfrac{9}{66892280}[/tex]
Hence, the probability that the hand contains exactly 8 face cards. = [tex]\dfrac{9}{66892280}[/tex]
Simplify the polynomial, then evaluate for x=-3
-x^2+2x-2x^2-3x+4+x^2
Step-by-step explanation:
Let's simplify step-by-step.
−x2+2x−2x2−3x+4+x2
=−x2+2x+−2x2+−3x+4+x2
Combine Like Terms:
=−x2+2x+−2x2+−3x+4+x2
=(−x2+−2x2+x2)+(2x+−3x)+(4)
=−2x2+−x+4
Answer:
=−2x2−x+4
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer: 25p+45>= 8
Step-by-step explanation:
The qoutient of 9 3/4 and 5/8?
Answer:
do you mean 9 3/4 divided by 5/8, if so, it gives you 78/5
Step-by-step explanation:
answer:
it is 15 3/5
your welcome
What is the length of the line segment with endpoints (−3, 8) and (7, 8) ?
Answer:
length/distance = 10 units
Step-by-step explanation:
Use the distance formula for both points / length / magnitude, d = √((x2-x1)^2+(y2-y1)^2).
Given endpoints (-3,8) [(x1,y1)], and (7,8) [(x2,y2)], plug in the corresponding y, and x values of both coordinates, and simplify.
√((8-8)^2+(7-(-3))^2) = √(0^2+10^2) = √100 = 10
*This may be in units if the unit used is unspecified.*
_______________________________
Also since the y values of both coordinates are the same, you can just subtract the x values in the coordinates, and take the absolute value since distance/length cannot be negative.
Step-by-step explanation:
[tex]|AB | = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
[tex] = \sqrt{( - 3 - 7)^{2} + (8 - 8)^{2}} \\ = \sqrt{100 + 0} = 10[/tex]
A model of the American flag was made out of 1,776 colored tiles. The star field took 444 blue tiles. The rest of the tiles were split evenly to form the red and white stripes. Choose the correct answer that represents the number of red or white tiles.
A. 540
B. 444
C. 1,332
D. 666
Answer:
D
Step-by-step explanation:
The number of red and white stripes = 666
Given, A model of the American flag was made out of 1,776 colored tiles.
The star field took 444 blue tiles.
The rest of the tiles were split evenly to form the red and white stripes.
Number of red or white stripes = (Total number of colored tiles - number of blue tiles)/2
= (1776 - 444)/2
= (1332)/2
= 666
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help please ?!??!!????
Answer:
2 hours 80 miles I believe is the answer hope this helps
Step-by-step explanation:
Mark used a number line to model dividing į by 3. He
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
parts. Mark says ſ = 3 is į
Is his answer correct? Explain why or why not.
No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.
Answer:
No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.
Step-by-step explanation:
sample responce
A number is divided by 4, and the quotient is added to 3. The result is 24. What is the number? (Please show how you got it)
(n/4) + 3 = 24
Answer:
84
Step-by-step explanation:
(x/4) + 3 = 24
so in this case try and make x the subject or in other words try to leave x on one side of the equation.
(x/4) = 24 - 3
(x/4) = 21
now multiply 21 by 4 using cross multiplication
so x= 84
The cost to build an amusement park ride by a certain contractor is represented by the function: Cost = 2*x2 – 10/x + 36*y + 25 where x is the number of people able to be on the ride at once. For what value of x would unit cost be minimized? What is the minimum cost for this number of passengers? Show mathematically that the value found is truly a minimum and discuss whether this solution is feasible.
Answer:
The minimum cost for this number of passengers is Rs.36.05
Step-by-step explanation:
The cost to build an amusement park ride by a certain contractor is represented by the function:
[tex]Cost = 2x^2 - \frac{10}{x}+ 36y + 25[/tex]
x : Number of people able to be on the ride at once.
Differentiate the function w.r.t x
[tex]\frac{\partial cost}{\partial x}=4x-(\frac{-10}{x^2})=0[/tex]
[tex]x^3=\frac{-5}{2}[/tex]
x=-1.3572
Differentiate the function w.r.t y
[tex]\frac{\partial cost}{\partial y}=36=0[/tex]
Minimum cost =[tex]2x^2 - \frac{10}{x}+ 36y + 25[/tex]
Minimum cost = [tex]2(-1.3572)^2 - \frac{10}{(-1.3572)}+ 36(0) + 25[/tex]
Minimum cost = 36.05
Hence the minimum cost for this number of passengers is Rs.36.05
Solve for x . − 9 x + 2 > 18 AND 13 x + 15 ≤ − 4
Answer:
x<−
9
--
16
and x≤−
13
--
19
Step-by-step explanation:
Double line graphs are used to compare two sets of data over the same period of time.
-True
-False
Answer:
the answer is true! :)
Step-by-step explanation:
24. Critical Thinking Anika wants to determine the maximum
number of tulip bulbs (t) she can purchase if each bulb costs $1.50.
She will also need to purchase separate pots for each bulb at $1.25
each and a bag of potting soil for $10.00. Set up an inequality to
determine how many tulip bulbs Anika can purchase without
spending more than $20.00, and solve it. Can Anika buy exactly
enough bulbs and pots to spend the full $20.00? Explain. Can you
think of a better inequality to describe the answer?
Answer:
t ≤ 3 ; kindly check explanation for more explanation
Step-by-step explanation:
Given that :
Number of tulip (t) =?
Cost of bulb = $1.50
Pot for each bulb purchased at =$1.25
Bag of potting soil = $10.00
Number of tulip bulb that can be purchased without spending more than $20
Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]
Cost = [(1.50 + 1.25)t + 10]
If spending should not exceed $20
2.75t + 10 ≤ 20
2.75t ≤ 20 - 10
2.75t ≤ 10
t ≤ 10/2.75
t ≤ 3.64
He cannot purchase more than 3 tulip bulbs
Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.
resta y suma de valor absoluto
Answer: Éstos son los pasos para usar la estrategia del valor absoluto. Para sumar dos enteros con el mismo signo, suma sus valores absolutos. Luego, coloca el mismo signo de los dos enteros originales a la respuesta. Para sumar dos enteros con signos diferentes, resta el valor absoluto menor al valor absoluto mayor.
Step-by-step explanation: Ojalá esto ayude !
Answer:
El valor absoluto de un número consiste en su valor, sin importar su signo. Cuando tomamos el valor absoluto de un número, éste es siempre positivo o cero. ... Por ejemplo, el valor absoluto de 5 es 5. El valor absoluto de -5 es también 5.
Step-by-step explanation:
miguel writes the expression 2n^4. He say that when you double the value of n, you double the value of the expression. Do you agree or disagree? Explain
Answer:
No, I disagree
Step-by-step explanation:
2n^4
let's put n to a real number. How about 2.
(2*2)^4=256
(2*4)^4=4096
No, I disagree, it doesn't double the expression.
Disagree. When you double the value of n, you quadruple the value of the expression.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related in a linear manner. If one quantity doubles in size, so does the other.
Now the given expression is,
2n^4
Let y = 2n^4
Since 2 is the constant and y and n are variables.
Thus we can write,
y ∝ n^4
This means when value of y increases one time, the value of n increases 4 times.
Thus,you Disagree. When you double the value of n, you quadruple the value of the expression.
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Find each quotient in the table below.
Write your answer as a fraction or a mixed number.
Problem
Quotient
6 1/4 divided by 2
10 1/7 divided by 5
8 1/2 divided by 11
5 2/3 divided by 2 1/8
Answer:
[tex]2 \frac{2}{3} [/tex]
Jayden's family watched 8 hours of TV last week. This week, they watchec
25% more than that. How many hours of TV did they watch this week? *
Answer:
I THINK that it is 10 hours
Step-by-step explanation:
(Sorry if I am wrong)
25% = 1/4 SO 8 divided by 4 = 2
Since they watched 25% MORE you add 2 to 8 and get 10
Complete the following table with the properties used to solve 4 (x + 3) = 20
#1) 4x + 12 = 20
#2) 4x = 8
#3) x = 2
If it not a good description, I'll put this as an example
4 (x + 3) = 20 is a Given Property
Answer:
Step-by-step explanation:
4 (x + 3) = 20 Distributive
#1) 4x + 12 = 20 Addition property of equality
#2) 4x = 8 Division Property of Equality
#3) x = 2 Answer
Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical without any food left over, what is the greatest number of plates Trevor can prepare?
Answer:
split the four extra pieces into smaller pieces to were it will give each plate the same amount.
Step-by-step explanation:
The area of a parallelogram is 24 square units. One side of the parallelogramis
36 units long. The other side is 4 units long. Which could be the parallelogram's
height? Choose all the correct answers.
A.1/6
B.2/3
C.3/2
D.6
E.9
The required height of the parallelogram is 2/3. Option B is correct.
Given that,
The area of a parallelogram is 24 square units. One side of the parallelogramis 36 units long. The other side is 4 units long. Which could be the parallelogram's height is to be determined.
A parallelogram is a quadrilateral consisting of pairs of parallel side.
Here,
We have given the area of the parallelogram and the measure of its base. So,
Area of the parallelogram = base * height
24 = 36 * height
height = 2 / 3
Thus, the required height of the parallelogram is 2/3. Option B is correct.
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Find the solution for the equation. 3 (n - 4) = -12
Answer:
0
Step-by-step explanation:
3n-12=-12
-3n=-0
n=0
Answer:
n=0.0
Step-by-step explanation:
3(n-4) = -12
3n-12 = -12
3n = 0
n = 0
ANSWER PLEASE NEED HELP ASAP
Answer: 43 should be divided into 0.37 to find “x”.
Step-by-step explanation:
Durant and Westbrook are playing a three-point challenge game to improve long
distance shooting. Each time each of them makes a basket, 3 points are added to
their respective scores. Durant has 18 points and Westbrook has 12 points.
Which of the following options has the pair of explicit formulas that represents the
number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n
Answer:
I THINK ITS A
Step-by-step explan I TOOK THE TEST TODAY I DONT NOW NOTHING
If the points P(5,2),Q(0,7) and R(-5,2) are drawn on coordinate plane,where must point S be located so that figure PQRS is square.
Answer:
(0, -7) i think
hope this helps :3
sorry if im wrong
ABX Clothing manufactures expensive jackets for sale to college stores in runs of up to
150. Its cost (in dollars) for a run of jackets is
() = + + .
, ( ≤ ≤ )
(a)ABX Clothing sells the jackets at $90 each. Find the revenue function.
(b) Find the profit function.
(c) How many should ABX Clothing manufacture to make a profit? (Round your answer up to
the nearest whole number.)
Answer:
a. R(x) = 90x b. -1500 -10x - 0.2x c. 148
Step-by-step explanation:
a. Since we have x jackets produced at a rate of $90 per jacket, the revenue function, R(x) = rate × number of jackets = 90 × x = 90x
R(x) = 90x
b. Since the cost function is C(x) = 1500 + 100x + 0.2x, the profit function P(x) = Revenue function - cost function = R(x) - C(x) = 90x - (1500 + 100x + 0.2x)
P(x) = -1500 + 90x - 100x - 0.2x
P(x) = -1500 - 10x - 0.2x
c. For a profit, P(x) > 0
-1500 - 10x - 0.2x > 0
0.2x + 10x + 1500 < 0
10.2x + 1500 < 0
10.2x < -1500
x < -1500/10.2
x < -147.05
x < -147
So, ABX Clothing needs to produce greater than 147 jackets to make a profit. So, they need to make 148 jackets to make a profit.
Let V be the volume of the pyramid of height 11 whose base is a square of side length 6. Find a formula for the area A of the horizontal cross section at a height y.
Answer:
Base area = 36
Volume of the pyramid = 132
Step-by-step explanation:
Volume of a pyramid = Base Area × Height/3
Base area = Length × Length (since base of the pyramid is a square)
Given the side length of the square = 6
Base area = 6×6
Base area = 36
Given height of pyramid =11
Volume of the pyramid = 36×11/3
Volume of the pyramid = 12×11
Volume of the pyramid = 132