Answer:
9
Step-by-step explanation:
Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.
The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Given the system of linear equations:
-3x + 2y = 8 ---> eqn. 1
3x + 2y = -6 ---> eqn. 1
First add both equations together:
Step 1: 4y = 2
Next, divide both sides by 4:
Step 2: y = 2/4
y = 0.5
Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.
The right option will be: No, she made an error in step 2. She should have found y = 0. 5.
Learn more about system of equations on:
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cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)
Answer:
97
Step-by-step explanation:
The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?
Answer:
V = B * H area of base * height
B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2
H = V / B = 600 cm^3 / 78.5 cm^2 = 7.64 cm
four water bottles can hold 8 gallons of water how much water can ten big water bottles hold
Answer:
20 gallons of water.
Step-by-step explanation:
4 water bottles = 8 gallons
1 water bottle = 2 gallons
X = Number of Water bottles
N = Gallons Per Water Bottle
X * N
10 * 2
20
Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.
The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169
Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)
Answer:
160
Step-by-step explanation:
23.4456 x 6.66=156.147696 respectively.
156.147696 to the nearest ten is 160.
k + a/6 = 3k help b4 i cry my eyes out :’/
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
factor the expression 14x - 21 using the GCF
There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters
Answer:
585
Step-by-step explanation:
Since there are 8 tanks and 5 barrels, you must add the two together,
[tex]8+5=13\\[/tex]
Then since there are 45 liters of oil in each containe, you have to multiply,
[tex]13x45=585[/tex]
There are 585 liters of oil
Write an exponential function to model each situation. Find each amount after the
specified time.
A population of 1,236,000 grows 1.3% per year for 10 years
Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?
Answer:
0.8 or 0.08 i believe
Step-by-step explanation:
hope this helps!
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
To learn more about Pythagoras theorem, click:
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#SPJ7
Which is the graph of the ordered pairs from the table below?
X Y
3 5
5 7
7 9
9 11
Answer:
It is the second
Step-by-step explanation:
Answer: number 2 ᕙ(＠°▽°＠)ᕗ
Step-by-step explanation:
9=[tex]9=\frac{2-4t}{t+3}[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Let's Solve for t ~
➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]
➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]
➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]
➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]
➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]
➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]
Answer:
t = (2 - 3q)/(q + 4).
Step-by-step explanation:
We cross multiply:
q(t + 3) = 2 - 4t
qt + 3q = 2 - 4t
qt + 4t = 2 - 3q
t(q + 4) = 2 - 3q
t = (2 - 3q)/(q + 4).
Please help me :) triangles, and i need help Brainliest to correct answers!!! NO LINKS
Answer:
Step-by-step explanation:
ur mom
The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer
Answer:
3 units
Step-by-step explanation:
I hope it helps you!
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
Help stuck on this question
please tell me how do I answer questions. I repeat I need to know how to answer the questions? tell me please
Answer:
So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.
Step-by-step explanation:
1. Ask a teacher if you don't know answer to a certain subject you are studing
2. Practice makes perfect
3 . Discuss and work with partner
What is the domain and range of the function f(x)=17?
A shopkeeper bought 24 bottles of fruit juice for $63 dollars.
She sold them for $2.95 each.
Calculate her percentage profit or loss.
Answer:
0.325
Step-by-step explanation:
$63 divide by 24 you'll get 2.625
then $2.95 minus 2.625 you'll get 0.325
Help meee please thank you will mark brainlist….
Answer:
It's 47 because it's an isosceles triangle.
Step-by-step explanation:
Answer:
F is equal to 47
Step-by-step explanation:
G is equal to F
Given the function below, if h(x) = -1, find x.
h(x) = -6 + 20
Answer:
This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v
Step-by-step explanation:
Help me with this fractions work
Step-by-step explanation:
a. 5 2/5 can be converted to 27/5
Multiply the numerators and denominators of 7/9 and 27/5
You will get: 189/45
This can be simplified to 21/5
b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6
Using the same process as before, you get: 175/24
2x3 + 8x2 + 10x + 4 all potential roots and actual roots
Answer:
potential: {±1/2, ±1, ±2, ±4}actual: [-2, -1, -1}Step-by-step explanation:
The Rational Root Theorem tells you that potential rational roots are ...
±(divisor of constant term)/(divisor of leading coefficient)
Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...
±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots
Examination of the graph of the function shows the actual roots are ...
x = -2, -1 (multiplicity 2)
_____
Additional comment
Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)
Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.
what is the slop of 2x-5y=10
Answer:
2/5
Step-by-step explanation:
Subtract 2x from both sides
-5y = -2x + 10
Divide both sides by -5
y = 2/5 x -2
The slope is 2/5.
Guided Practice
Give a reason to justify the equation.
3y+ (-5y) = [3+ (-5)]y
A. Commutative Property of Addition
B. Associative Property of Addition
C. Distributive Property
What is the value of the expression below when z=
5?
5z - 4
Answer:
Well we’ll just substitute
So 5z-4
And z is 5
5*5-4
25-4=21
The value is 21
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
PLEASE HELPPPP
4(x−2 1/4)=−3.7