At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
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]
When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When n = 7
[tex]n + 3[/tex][tex]7 + 3[/tex][tex]10[/tex]hence, the given expression is equal to 10, when n = 7
can someone please please please help me asap?!
Answer:
-1.5
Step-by-step explanation:
Rise is 3, run is -2
I hope this helps..
Angle A and angle B are complementary. If angle A measures 45 degrees, what does angle B measure?
a is 45 degrees and b is 45 degrees
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 3 years?
Answer:
$329.18
Step-by-step explanation:
315 + 14.18 = $329.18
4/3(6y+21)-17>43 help pls
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
Please help
Need working for 2 and 3
Answer:
Question 3:
51/16
As a mixed number =
3 3/16
Step by step explanation:
You have to convert the fraction into improper fractions so 8 ½ = 17/2
and 2⅔ = 8/3
then you do 17/2 ÷ 8/3 which =
51/16 theb turn this number into a mixed number which is
3 3/16
There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?
Answer:
Le answer tis 4 UwU
Step-by-step explanation: G'day mate!
P.S- Brainlest plzz??
Answer:
5
Step-by-step explanation:
e
Please help this is a major gradeeeeee
Answer:
45
Step-by-step explanation:
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
Decrease £313 by 62%
Give your answer rounded to 2 DP.
Answer:
194.06
Step-by-step explanation:
£313 decreased by 62% is £118.94
In order to determine the answer, the first step to take is to determine the value of 62% of £313.
Value of 62% = 62% x £313
0.62 x £313 = £194.06
The second step is to subtract the value of 62% of £313 from £313
£313 - £194.06 = £118.94
In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.
A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults
Find the greatest common factor.
3x^2a+3xa^2
Since
3
x
2
a
,
3
x
a
2
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
3
x
2
a
,
3
x
a
2
:
1. Find the GCF for the numerical part
3
,
3
2. Find the GCF for the variable part
x
2
,
a
1
,
x
1
,
a
2
3. Multiply the values together
Find the common factors for the numerical part:
3
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
List all the factors for
3
,
3
to find the common factors.
3
:
1
,
3
3
:
1
,
3
The common factors for
3
,
3
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
x
2
,
a
,
x
,
a
2
The factors for
x
2
are
x
⋅
x
.
x
⋅
x
The factor for
a
1
is
a
itself.
a
The factor for
x
1
is
x
itself.
x
The factors for
a
2
are
a
⋅
a
.
a
⋅
a
List all the factors for
x
2
,
a
1
,
x
1
,
a
2
to find the common factors.
x
2
=
x
⋅
x
a
1
=
a
x
1
=
x
a
2
=
a
⋅
a
The common factors for the variables
x
2
,
a
1
,
x
1
,
a
2
are
x
⋅
a
.
x
⋅
a
The GCF for the variable part is
x
a
.
GCF
Variable
=
x
a
Multiply the GCF of the numerical part
3
and the GCF of the variable part
x
a
.
3
x
a
Answer: 3xa
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor
14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.
Answer:
A. ($39)+(8)+(8)+(8)+(8)=71
Therfore he can buy 4 pairs of shorts.
B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.
C. The most amount of shorts he can buy would be 4 WITH the sneakers.
Step-by-step explanation:
Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?
9,18,36,... Find the 6th term.
Answer:
576
Step-by-step explanation:
The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.
Answer:
D. a rectangle
Step-by-step explanation:
solve for x and y and explain
Answer: x=9 and y=9
Step-by-step explanation: Y is in the same spot as x! Good luck! :D
Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.
Answer:
the answer is D. dense means heavier, basically
Answer:
its D dense
Step-by-step explanation:
because dense means more inside
help will mark brainliest plz plz plz
hope it will help you..............
Answer:
4.3
Step-by-step explanation:
subtract CD from CZ to find DZ
this is the same thing as CZ - CD = DZ
substitute in our values: 6.7 - 2.4 = DZ
you get DZ = 4.3
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
I need some help with this question don't get it help please.
Answer:
Scale factor is 3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2
Hope this helps you!
how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!
Answer:
144
Step-by-step explanation:
12 inches by 12 inches is 144. quick mafs
Answer:
144
Step-by-step explanation:
???????????????????¿
I'm just going to take a chance and say 1.A, and 2.D.
If tan 0 = 8/15, what is sin 0?
Determine whether the following graph represents a function.
A. Function
B. Not a function
Answer:
B. not a function
Step-by-step explanation:
A function is a set of data in which no x values repeat, but where y values may or may not repeat.
help me pleaseee pleaseee
Answer:
x=3
PAW = 40
Step-by-step explanation:
-11x+173-x+43=180
-12x+ 216 = 180
12x = 36
I need help pls because I am confused.
Answer:
1/8
Step-by-step explanation:
The answer before you simplyify will be 24/4. that = 6
The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.
Answer:
when you do 15×528 you get 7920 books
Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answer:
no sé eres tú
Step-by-step explanation:
Please help with this!! I will mark brainliest! I just need a simple explanation
Answer: x = 29
Step-by-step explanation:
The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.
5x - 23 + 5x - 23 + 2x + 2x = 360
14x - 46 = 360
14x = 406
x = 29