Answer:
[tex]\displaystyle [6, -3][/tex]
Step-by-step explanation:
To begin this process, we will first select the second equation. Here is how the Substitution method wourks:
[tex]\displaystyle \left \{ {{3x + 5y = 3} \atop {x + 2y = 0}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {x = -2y}} \right. \\ \\ 3[-2y] + 5y = 3 \hookrightarrow -6y + 5y = 3 \hookrightarrow -y = 3; -3 = y, 6 = x \\ \\ \\ \boxed{[6, -3]}[/tex]
So, you substitute [tex]\displaystyle x[/tex]for [tex]\displaystyle -2y[/tex]and continue combining like-terms until you receive the y-value. You then plug this back into the system to get the x-value, which was what you saw.
I am joyous to assist you at any time.
100 points!!!!! How many more brick houses did Company N build than Company M?
Answer:
company N built 10 more brick houses
Step-by-step explanation:
if company M builds 2x as many wooden houses as the do brick houses that would be 1/2 of 100 which is 50, and the ratio of wood houses to brick houses for company M is 5:3, 5x20=100 3x20=60. 60-50=10
Answer:
10 houses
Step-by-step explanation:
If Company M builds half as many brick houses as wood houses, then if this company builds 100 wood houses, it builds 50 brick houses.
For Company N, create a linear equation showing the relationship between wood houses (x) and brick houses (y). For every increase in x by 5, y increases by 3:
y = (3/5)x
Therefore, when x = 100: y = (3/5)(100) = 60
So Company N builds 60 brick houses when it builds 100 wood houses.
Company N - Company M = 60 - 50 = 10 houses
Therefore, Company N built 10 more brick houses than Company M.
Find the measure of angle x in the figure.
Note: Angles not drawn to scale.
Angle x measures=
Answer:
x = 125°
Step-by-step explanation:
There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.
Total of angles
= (n - 2)•180°
Put in 7, because there are 7 angles.
= (7 - 2)•180°
= 5•180°
= 900°
So the total of the angles should be 900°. We know all of the angles except one.
900° = 123°+129°+128°+128°+132°+135°+ x
900° = 775° + x
Subtract 775.
125° = x
The missing angle is 125°.
Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36
The total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount of annual payment is given as,
[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]
Here, P is principal amount, the rate is r and time period is t.
Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.
Total months in ten years,
[tex]t=10\times12\\t=120[/tex]
The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,
[tex]r=0.062[/tex]
Put the values in the above formula as,
[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]
Total payment paid by her in 1 year of time is,
[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]
Thus, the total amount Bianca has to pay monthly to avoid interest capitalization is $13.43.
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How is y = x + 4.5 related to y = x ?
Answer: the graphs of the two lines are ||.
Step-by-step explanation: Notice that in this problem, we have
the parent graph y = x and the equation y = x + 4.5.
Notice that both of these equations have the same slope.
When two equations have the same slope and
have different y-intercepts, the lines are ||.
Answer :it related because it is a slope form.
Step-by-step explanation:
Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.
The wingspan of 127 butterfly specimens is an illustration of the line of best fit
The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slopeIn (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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Find the coordinates of the midpoint of
segment XY for X(-2, 3) and Y(-8, -9).
Answer:
use formula
(x,y) =[ (x1+x2)/2 ,(y1+y2/2)]
=[(-2-8)/2, (3-9)/2]
=(-10/2 ,-6/2)
=(-5,-3)
1) Explain what opposite reciprocals means. Then explain how it is important/relevant in geometry.
Answer:
Step-by-step explanation:
a
Opposite means add a negative sign in front of it.
The opposite of 6 is -6,
7 --> -7,
-10 --> 10.
Reciprocal means flip it.
Reciprocal of 6 is 1/6
of 7 is 1/7
of -10 is -1/10
Opposite reciprocal means add a negative sign AND flip it.
6 --> -1/6
7 ---> -1/7
-10 --> 1/10
In geometry, perpendicular lines on a graph have opposite reciprocal slopes.
4x + 6+ 3= 17
Show answer
Answer:
x= 2
Step-by-step explanation:
4x+6+3=17
4x+9=17
-9 -9
4x= 8
4x/4 = 8/4
x= 2
Hope this helps!
The volume of this triangular prism is 32 cubic inches. What is the value of d?
Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
Help ASAP im in 6th so this could be easy for sum of you to answer! okay so click on this question to see the rest please help me! Billy's soccer team won 17 out of the 20 games played. Sam's soccer team lost 3 games of their 12-game season. Which statment is NOT true about the wins and losses for both Billy's and Sam's soccer teams?
Group of answer choices: A, Billy's soccer team won 17 games which represents 85% of their games.
B, Sam's soccer team won 9 games which represents 3/4 pf their games.
C, Both of their teams lost 3 games, so their losing percentage would be the same.
D,Sam's soccer team lost 3 games which represents 25% of their games.
Answer:
C
Step-by-step explanation:
I believe it is C because since they each have a different amount of games even though they both lost three, the percentage will be different. Just like if you missed 2 questions on a 4 question test you would fail, but if you missed two questions on a 20 question test you would get a good score.
Answer
C
Step-by-step explanation:
8 x 8 x 8 x 8 using an exponent
Hey there!
We have
8×8×8×8
Let's write it using an exponent.
8=8¹
8×8=8²
8×8×8=8³
8×8×8×8=8⁴
So we multiplied 8 times itself 4 times (that's why the exponent is 4)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
is this relation A function? (a lot of points i’ll give)
Help me asp 25 points and will mark
What is the area of this parallelogram?
Please help :)
Answer:
D
Step-by-step explanation:
Remark
We will change the dimensions to decimals
h = 3 7/8 = 3.875
b = 6 1/2 = 6.5
Formula
Area = h * b
Solution
Area = 3.875 * 6.5
Area = 25.1875
0.1875 = 3/16
Answer: Area = 25 3/16
Answer: D
Can anyone please help me!! D: :D
Answer:
4
Step-by-step explanation:
18/6=3
24/6=4
42/6=7 ...
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Answer: The Correct answer is 8.2
Explanation: I took the K12 test and got it right
The height of the prism is 8.2 feet.
What is Volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
We have,
The volume of this right prism is 266.5 ft³.
As, the formula for Volume of Trapezoidal prism is
= 1/2 ( base 1 + base 2) x height x length
So, Volume of prism
266.5 = 1/2 (5 + 8) x 5 x y
266.5 = 32.5 y
y= 8.2
Thus, the height of the prism is 8.2 feet.
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This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended their second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.
Answer:
4.1
Step-by-step explanation:
The price of a gallon of gasoline dropped by $0.08 on Wednesday and by 0.25 of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday? –0.32 –0.02 0.02 0.32
Answer:
- 0.32
Step-by-step explanation:
because if you add 0.08 and 0.25 you get 0.32 but then you are subtracting that from the original price so I think it would be - 0.32
Answer:
-0.32
Step-by-step explanation:
I just answered that question
Can anyone answer this please?
-16/11
Step-by-step explanation:
16/3 %(- 11/3)
16/3 ×3/-11 = - 16/11
Find the area of the circle. Round your answer to the nearest hundredth. The area is about square inches.
Answer:
I believe it is 201.06 square inches
Answer:
201.06
Step-by-step explanation:
The area of a circle is pi * r^2. So, 3.14 * 8^2. So, it would be 201.06 (rounded). Hope this helps!
Sebastian goes out to lunch. The bill, before tax and tip, was $8.75. A sales tax of 5% was added on. Sebastian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
1.56
Step-by-step explanation:
just do 8.75x1.05, then multiply that number by .17.
please mark as brainlest.
a game show has 70 categories. There are 30 points in each categories. how many points are there in total on the game show?
39.4 is what percent of 64 round to the nearest 100
Answer:61.7
Step-by-step explanation:
maths
Answer:
61.56%
Step-by-step explanation:
Find 39.4 out of 64 as a decimal:
Convert decimal to percent:
0.615625 × 100 = 61.5625% (Move decimal 2 places to the right)
61.56% (Round to the nearest hundredth)
(First to answer CORRECTLY gets brainliest!)The Mayflower Compact could best be described as a/an...
a
basic agreement requiring colonists to obey Virginia law.
b
early attempt at self-government in the English colonies.
c
detailed list of reasons why the Pilgrims left England for the United States.
d
trade contract between Great Britain and merchants in the Virginia colony.
Answer:
b, early attempt at self-government in the English colonies.
Another model rocket is accelerating at a rate of 3m/s squared with aforce of 1N. What is the mass of the rocket? plssssss hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! like right now plss
ty
Answer:
0.33333333333e3
Step-by-step explanation:
e = infinity
1+1 =? sos sos sos sos sos sos sos sos sos sos sos
Answer:
I think its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
LOL LOL LOL LOL
What's your highest tile in 2048?
I got 131072
. A driver travels 688 miles in 2 hours. How many miles would this person
drives in 4 hours?
Answer:
1,376
Step-by-step explanation:
688 • 2 = 1,376
Answer:IT MATH
Step-by-step explanation:
Cameron wants to buy a new bike that costs $112. He is saving $8 per week. How many weeks will it be until Cameron has all the money he needs to buy the
bike
the answer is 14
Step-by-step explanation:
Solve x for 8 x = 22 Give your answer as an improper fraction in its simplest form.
Step-by-step explanation:
8x =22
Divide by 8
X=11/4
The required improper fraction is 11/4.
What is an improper fraction?Improper fractions are defined as fractions for which the numerator is greater than the denominator.
Given that an equation, 8x = 22, we need to find the value of x,
8x = 22
Diving both the sides by 8, we get,
x = 22/8
x = 11/4
Here, the numerator is greater than the denominator.
Hence, the required improper fraction is 11/4.
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
2x² - 12 + 8x
Setting up the equation:
Let that [SOMETHING] be L
⇒ 3x² + 8x - 16 - (L) = x² - 4To avoid confusion, let's use parenthesis:
⇒ (3x² + 8x - 16) - (L) = (x² - 4)Simplifying the equation:
Subtract "(3x² + 8x - 16)" both sides to isolate "(L)":
⇒ (3x² + 8x - 16) - (3x² + 8x - 16) - (L) = (x² - 4) - (3x² + 8x - 16)⇒ -(L) = (x² - 4) - (3x² + 8x - 16)Take the "-" in the parenthesis:
⇒ -(L) = (x² - 4) + (-3x² - 8x + 16)Open the parenthesis:
⇒ -L = x² - 4 - 3x² - 8x + 16Combine like terms and simplify:
⇒ -L = x²(1 - 3) + (-4 + 16) - 8x⇒ -L = x²(-2) + (12) - 8x⇒ -L = -2x² + 12 - 8xPut both terms in parenthesis:
⇒ -(L) = (-2x² + 12 - 8x)Multiply both sides by -1:
⇒ (L) = -(-2x² + 12 - 8x)⇒ L = 2x² - 12 + 8xThus, the [SOMETHING] is 2x² - 12 + 8x.
Answer:
[tex]2x^2+8x-12[/tex]
Step-by-step explanation:
[tex]P=3x^2+8x-16[/tex]
[tex]= x^2-4[/tex]
The Quantity Subtracted
Let the Quantity be called "y"
[tex]P=y\\3x^2+8x-16-y=x^2-4[/tex]
Bring together like terms
[tex]y= 3x^2-x^2+8x-16+4\\y= 2x^2 + 8x-12[/tex]