Answer:
x = 2, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]
[tex]\mathrm{Substitute\:}[/tex]
[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]
[tex]\mathrm{Simplfy}[/tex]
[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]
[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]
[tex]x=3-1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=2,\:y=1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check Answer:
Since [tex]x =2 , y =1[/tex]
[tex]2(2)+2(1)[/tex]
[tex]4 + 2[/tex]
[tex]= 6[/tex]
True
[tex]3(2) - (1)[/tex]
[tex]6 -1[/tex]
[tex]5[/tex]
True
Hence, [tex]x = 2, y = 1[/tex]
~Lenvy~
I need help please with these 2 problems
Step-by-step explanation:
1a) =>3(3x+1)/4(3x+1)=3/4
b) => 2x(x+5)/(x+5)²=2x/x+5
2) a raph restriction means that the graph stops where the restriction says. But because the y's are the output of the x's, they only give u the x restriction and then you can calculate the point by finding the y coordinate. This may sound weird but here is an example:
[1,3] => this means the graph will only show between the points 1 and 3 (on the x-as). Both points are included in the graph.
[1,3[ => this means the raph will only show between the points 1 and 3 but 1 is still a part of the graph but not 3 so up till every little number but just not 3.
hope u get it lol
The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}
Answer:
See below.
Step-by-step explanation:
Arranging the data in ascending order:
Team one: { 47, 49, 51, 53, 54, 54, 57, 59, 60, 62}
Team two: {43, 48, 49, 51, 52, 53, 56, 57, 61, 63}
The mean for team one = sum of the scores / 10 =
= 546/10 = 54.6.
The median for team 1 = 54.
The mean for team two = sum of the scores / 10 =
= 533/10 = 53.3.
The median for team 2 = 52.5.
Team 1 has a higher mean than team 2: 54.6 - 53.3 = 1.3 higher.
In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.
Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.
Answer:
7.5 minutes
Step-by-step explanation:
90 seconds is equivalent to 1.5 minutes
1.5×5=7.5
Explain three key differences between index funds and mutual funds
The three main differences are management style, investment objective and cost — and index funds are the clear winner.
Sure hope this helps you and pls mark me brainiest!
The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.
What is index funds?"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."
What is mutual funds?"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "
"If a mutual fund is active, then it has high fees than index fees."
"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."
To learn more about index fund and mutual fund here
https://brainly.com/question/2804420
#SPJ2
A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table
The variables of the hypothesis test include the favorite type of pizza and the gender
The null hypothesis is Favorite pizza and gender are independent
How to determine the null hypothesis?
From the complete question, the variables that are measured are:
Favorite type of pizzaGenderThe null hypothesis of a test used the equality statement.
So, the null hypothesis would be
Favorite pizza and gender are independent
Read more about null hypothesis at:
https://brainly.com/question/15980493
Q. If the word problem is asking you to find the space inside the circle, which formula should you use?
answer choices
Answer:
The last option: bottom right
Step-by-step explanation:
y = 4
2x + y = 14
solve using substitution
Jasmin rakes at two different houses. it takes her 2 1/3 hours to rake leaves at the first. it takes her 1/2 of that time to rake at the second house. how long does it take jasmin to rake at the second house?
Answer:
Jasmin rastrilla en dos casas diferentes. le toma 2 1/3 horas rastrillar las hojas al principio. le toma 1/2 de ese tiempo rastrillar en la segunda casa. ¿Cuánto tiempo tarda el jazmín en rastrillar en la segunda casa?
Step-by-step explanation:
How to write expressions as the sine, cosine, or tangent of a single angle
Rhys's house had a temperature of 12°C. He put the heating on and the temperature rose by 8°C. As he was still co Rhys decided to light a fire which increased the temperature by a further 13°C. What was the temperature in the hou now?
Answer:
this is very easy.
Step-by-step explanation:
if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius
A frame contains 4 pounds of gold. suppose gold is worth $1,277 per ounce. how much would the gold in the frame be worth?
Answer:
$81,728
Step-by-step explanation:
For reference: 1 pound = 16 ounces.
Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.
Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.
The key word here is "per", which means to multiply.
Answer:Answer:5,108
Step-by-step explanation:
Help please I'ma giving alot of points if you say something else just to get the points I will report
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
PLSSSSSS HELP ME WITH THISS!!!
Answer:
Her total would be $59 so, we would be a dollar extra.
The answer is Yes, the total will be $59.
Step-by-step explanation:
$58 - $18.50 = You need to earn $39.5.
Garden = $6.50 per hour
Cakes = $5.25 per hour
$6.50 X 3 hours = $19.50
$5.25 X 4 hours = $21
$21 + $19.50 = $40.50 totall
$18.50 + $40.50 = $59
Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5
Answer:
Step-by-step explanation:
First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.
To clarify...
*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1
*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3
After we determine the slope of the perpendicular line, we are also know the point it must pass through.
Given that, we can find the equation.
Using y=mx+b
Plug in known varibles
y=-5
x=-4
m=2
b=?
-5=2(-4)+b
b=3
So now that we have b, we can put the equation in standard form.
y=2x+3
Hope this helps!!!
please help I am confused
Answer: -5
Step-by-step explanation:
Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.
71-2x + 2
y2= -x+8
Albert created this table of solutions for the equations.
X
-2
0
4
N
S
yu
2 | 2
6
10
y2
10
8
6
4
Which point is a solution to the system of equations?
А.
(-2,-2)
B. (0,8
C.
(2,6
Cinem
D. (10,4)
in
Answer:
(2,6)
Step-by-step explanation:
y1 = y2
2x + 2 = - x + 8
2x + x = 8 - 2
3x = 6
x = 2
y1 = y2 = 6
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angles appear to be congruent.
A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.
What is a polygon?A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).
What is an octagon?An octagon is a polygon that has 8 number of sides.
As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.
An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.
Hence, the polygon that best describes a stop sign is a regular octagon.
Learn more about Polygon:
https://brainly.com/question/17756657
Answer:
8, an octagon, regular
Step-by-step explanation:
on e2020
A cube has a side length of 5 inches. What is the surface area, in square inches of the cube?
Answer:
A=6a2=6·52=150in²
Step-by-step explanation:
Please help me with this please and thank you
Answer:
b. [tex]3^{-x}[/tex]
Step-by-step explanation:
(-2, 9)
[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]
(-1, 3)
[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]
(0 1)
[tex]f(0)=3^{0} =1[/tex]
Hope this helps
6. On Marika's 8th birthday, in 2004, her father said, "My age is now four times your age."
In what year will Marika's father be able to say, "My age is now three times your age," on
Marika's birthday?
Answer:
2008
Step-by-step explanation:
when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.
Answer:
2008
Step-by-step explanation:
The difference in their ages is ...
4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)
__
Marika's age when the father was 3 times her age was ...
3m -m = 2m = 24 . . . years
m = 12 . . . . . Marika was 12 when her father was 3 times her age
That is 12 -8 = 4 years from 2004, so it will be true in 2008.
please help! pleaseeeeee
Answer:
D-27 cm
Step-by-step explanation:
we are given that the top is 8cm
one side is 3..the 2 sides are the same length so total of 6
the bottom is 5, we know the top is 8 so 8-5 =3
the 2 breaks are 1 each
so we do
8 + 5+ 6+ 2+3 =24
Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?
A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.
The true statement is that the 6-pack contains 0.130 litres more soda.
He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.
6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.
Proportional relationship1 pack = 0.355 litre can
6 pack = ?
cross multiply
volume of soda = 6 × 0.355 = 2.13 litres
The 6-pack of 0.355-liter cans contains 2.13 litres of soda.
difference = 2.13 - 2.00 = 0.13 litres
Therefore, the 6-pack contains 0.130 litres more soda
learn more on volume here: https://brainly.com/question/20887167
Fill in the table using this function rule
y=5+4x
This is the FORTH time I’ve posted this question PLEASE answer IT
20 POINTSSSSS
Answer:
-6,-1,4,9,14
Step-by-step explanation:
Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14
B^2-7b-8 (b=-4) evaluate the expression
Answer:
4
Step-by-step explanation:
find the missing side of the parallelogram. keep answer in simplest form
Area of parallelogram is Base×height
10×18=15× x
x= 12
hope it helps
Answer:
x = 12
Step-by-step explanation:
So, area of a parallelogram is base times height.
In this picture, one of the base, height pair is 18 and 10.
18 * 10 = 180
The other base, height pair is 15 and x.
So, 15 and x should equal to 18 * 10.
Then, 15x = 180.
Divide both sides by 15, and you get 15x/15 = x and 180/15 = 12.
So, x = 12
help i’ll mark brainlist
You are going to the mall with your
friends, and you have $200 to spend.
you find a store that has all jeans for
$25 and all shirts for $10. you buy a
total of 14 items. how many of each
item did you buy?
Answer:3 jeans and 11 shirts with 15 dollars leftover
Step-by-step explanation:
3x25=75
11x10=110
110+75=185
200-185=15
25x4 will make the leftover money higher, so 3 and 11
Can you pls help me with this
Solve for x.
4=8x - 10y
Answer:
x= 1/2 + 5y/4Hello people ~
factorise: : x^2 – 21x + 108
[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]
Use midterm splitation[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]
[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]
[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]
Done!