Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
PLEASE CAN SOMEONE HELP ME???
Answer:
-8,4 and 4,-5
Step-by-step explanation:
A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?
HELP PLEASE!! SOLVE FOR "X"
Answer:
[tex]x=\frac{c^2y^2}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]
Answer:
c²y²
x = ----------
4
Step-by-step explanation:
Let's isolate √x: Multiply both sides of this equation by c/2. We get:
c*y
√x = ---------
2
To find an expression for x, square both sides of this result:
cy
x = {------ }²
2
This is equivalent to:
c²y²
x = ----------
4
16
17
25
31
25
31
Age of First - Time Fathers
19 20 21 21
26 27 27 28
33
34 35
36
19
26
32
22
29
37
23
29
38
24
30
39
Answer:
whats this supposed to be?
Step-by-step explanation:
You might need:
Calculator
The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years, the
standard deviation is 0.6 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a lizard living between 2.5 and
4.3 years.
1%
Show Calculator
Report a problem
Plz HELP!!!
Answer:
Is there a picture of it so I can solve
Write the equation of a line that is parallel to y=x-4 and passes through the point (2,3)
Answer:
y = x - 1
Step-by-step explanation:
The given line is y = x - 4. Any line parallel to this one has an equation of the same form, though the constant will be different.
Substitute the coordinates of the given point (2, 3) into y = x - 4 and determine the value of b, which is the y-intercept:
3 = 2 - C
Then C = -1, and the desired equation is y = x - 1.
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.
Answer:
256x +2.500=17860
Step-by-step explanation:
So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.
UMMMM I NEED MORE HELP PLZ
Answer:
Step-by-step explanation:
3/5(-60)(-2/3)=24
choice C
Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!
The Answer: 60 ÷ 5 = T
Is this equation proportional? why?
y = 3x + 2x
Answer:
5x
Step-by-step explanation:
point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?
Find the solution set of the inequality
Can you help please?
12-6x > 24
Answer:
x < -2
Step-by-step explanation:
Hey there!
The answer to your question is [tex]x < -2[/tex]
Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!
[tex]12 - 6x > 24[/tex]
[tex]-6x > 12[/tex] (Subtract 12 from both sides)
[tex]x < -2[/tex] (Divide both sides by -6)
Hope it helps and have a great day!
3x+2y=46 x+y=17 how u solve
Answer: (12, 5)
Step-by-step explanation:
3x + 2y = 46 x + y = 17
Subtract y from both sides of the equation.
x = 17 − y 3x + 2y = 46
Replace all occurrences of x with 17 − y in each equation.
51 − y = 46
x = 17 − y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
Subtract 51 from both sides of the equation.
−y = 46 − 51
x = 17 − y
Subtract 51 from 46.
−y = −5
x = 17 − y
Multiply each term in −y = −5 by −1
Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1
x = 17 − y
Multiply (−y) ⋅ −1.
y = (−5) ⋅ −1
x = 17 − y
Multiply −5 by −1.
y = 5
x = 17 − y
Replace all occurrences of y with 5 in each equation.
Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)
y = 5
Simplify 17 − (5).
Multiply −1 by 5.
x = 17 − 5
y = 5
Subtract 5 from 17.
x = 12
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(12, 5)
The result can be shown in multiple forms.
Point Form: (12, 5)
Equation Form: x = 12, y = 5
Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan. If Nolan has a total of 23 pens and pencils, and so does Fiona, which of these is a number of pens or a number of pencils that either Nolan or Fiona has?
Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
Amount determinationGiven that Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan, to determine, if Nolan has a total of 23 pens and pencils, and so does Fiona, the number of pens and pencils that either Nolan or Fiona has, the following calculation must be performed:
Pen = APencil = BN = 14A + 9B = 23 /// F = 3.5 + 19.5N = 12A + 11B = 23 /// F = 3A + 20BN = 20 A + 3 B = 23 /// F = 5 A + 18 B20 / 4 = 518 / 6 = 3Therefore, Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.
Learn more about amount determination in https://brainly.com/question/14342345
A child's ladder is made of 333 sections. Each section is \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction meters long. How long is the ladder when all 333 sections are extended to make one ladder? meters
Answer:
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Length = \frac{3}{4}m[/tex] per section
Required
Determine the length of the ladder
The length of the ladder is calculated by multiplying the number of sections by the length of each section.
So, we have:
[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]
[tex]Ladder = \frac{9}{4}\ m[/tex]
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m
Which inequality is true
Answer:
number 2 I'm pretty sure but wait for another answer jsut to double check
Answer:
I think the 2nd one, -2¾ < -1½, as for -1½ is bigger than -2¾.
Write an equation using x and y to represent the hanger?
Answer:
x + 3y = 4x + y
Step-by-step explanation:
it looks like both sides weight the same, also each triangle represents an x and each square represents a y
2x^2-2x , how do you graph this ?
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
8
−
1
2
0
0
1
2
2
8
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
8
x
y
−
2
8
−
1
2
0
0
1
2
2
8
help me yall like sis
Answer:
x= 10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
Answer:
x=10
Step-by-step explanation:
Vertical angles are always congruent, those to angles are vertical angles so they are congruent.
Set them equal to each other:
110=8x+30 subtract 30 from both sides
80=8x divide by 8 on both sides
x=10
Hope this helps :)
Which equation does the graph below represent?
Answer:
a
Step-by-step explanation:
i think its a
need help asap please
Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10
Answer:
y=16 and x=19
Step-by-step explanation:
Let's solve your system by elimination.
−2x+3y=10;10x−9y=46
Multiply the first equation by 5,and multiply the second equation by 1.
5(−2x+3y=10)
1(10x−9y=46)
Becomes:
−10x+15y=50
10x−9y=46
Add these equations to eliminate x:
6y=96
Then solve6y=96for y:
6y=96
6y
6
=
96
6
(Divide both sides by 6)
y=16
Write down an original equation:
−2x+3y=10
Substitute16foryin−2x+3y=10:
−2x+(3)(16)=10
−2x+48=10(Simplify both sides of the equation)
−2x+48+−48=10+−48(Add -48 to both sides)
−2x=−38
−2x
−2
=
−38
−2
(Divide both sides by -2)
x=19
Answer:
x=19 and y=16
The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given equations:
10x - 9y = 46 (1)
-2x + 3y = 10 (2)
Multiply equation 2 by 3
3 (-2x + 3y) = 10 × 3
-6x + 9y = 30 (3)
Add equation 3 and equation 1
10x - 9y + (-6x) + 9y = 46 + 30
4x = 76
x = 76 / 4 = 19
Put x = 19 in equation 2
-2 × 19 + 3y = 10
3y = 10 + 38
y = 48 / 3
y = 16
Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
To know more about equation:
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Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta
Answer:
320 pesos
Step-by-step explanation:
Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria
100% - 20% = 80% o 0.80
Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...
400 * 0.80 = 320 pesos
what is 1+1 please help
Please help!!!!! will give brainliest!!! thank you so so so much, I really appreciate it
Answer:
C
Step-by-step explanation:
Firstly, we will identify the angle that has the given cosine value
From what we can see, the arc cos of this value is 45 degrees
but, as we can see, the value is negative
On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant
2nd quadrant ranges from 90 - 180
That is pi/2 to pi
3rd ranges from 180 to 270
That is pi to 3pi/2
Kindly recall, we are considering angles from -360 to 360
So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive
Thus, we have the following;
5pi/4 is same as 225 degrees
This is on the 3rd quadrant, and cosine is negative there
7pi/4 is same as 315 and this is on the fourth quadrant
This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative
3pi/4 is same as 135
This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure
pi/4 is on the first quadrant and cosine is positive here;
Since the value we have here is positive, we have to negate the angle measure
So the correct angles are;
negative pi/4
positive 3pi/4
positive 5pi/4
negative 7pi/4
My guys pls help new you got me right I’m giving brainliest:)
Answer:
21 ft
Step-by-step explanation:
I'm not sure how to find x
HELP PLEASEEE!!!!!!!
Answer:
1/3^3 *1/3^2
1/27 *1/9
1/243
Answer: 1/243
Step-by-step explanation:
first, i calculate it.
3^-5
then, i expressed it with a positive exponent.
1/3^5
finally, i simplified it.
1/243
Sammy earns money for college by walking dogs and mowing lawns. She earns $3 for each dog she walks and $25 for each lawn she mows. Which expression can be used to determine the amount of money she earns from walking w dogs and mowing m lawns
Answer:
x = 3w + 25m
Step-by-step explanation:
The number of dogs she walks (w) and the number of lawns that Sammy mows (m) need to be multiplied by the amount of money that Sammy makes from each individual action. Both of these products are then added together to equal the total amount of money that Sammy has earned. All of this can be represented with the following expression where x is the total amount of money earned...
x = 3w + 25m
