Which step can you use to solve the equation c-7 = 13 for c?
A. Add 7 to both sides of the equation.
B. Subtract 7 from both sides of the equation.
C. Multiply both sides of the equation by 7.
D. Divide both sides of the equation by 7.
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. Add 7 to both sides of the equation.
»»————- ★ ————-««
Here’s why:
To solve for a variable we need to use inverse operations to 'undo' a value. We would do this on both sides for the equation to remain balance.The opposite of subtraction is addition, so we would add 7 to both sides of the equation to solve for c.⸻⸻⸻⸻
\(\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Hey there!
Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question
The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting
Answer you're looking for: Option A. Add 7 to both sides of the equation
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Question 14 of 40
In the rectangle below, AC = 36 units. What is DE?
с
E
A
B
o
A. 24
B. 18
ОО
C. 12
O
D. 36
SUBMIT
Р.
to
Answer:
B. 18
Step-by-step explanation:
Quadrilateral ABCD is a rectangle.
Diagonals AC and BD intersect at point E.
Diagonals of a rectangle are equal in length.
\(\implies BD = AC\)
Diagonals of a rectangle bisect each other.
\(\implies\frac{1}{2} BD = \frac{1}{2} AC\\\\\implies DE = \frac{1}{2} \times 36\\ \\ \implies DE = 18\)
Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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Find the 8th term of the sequence with formula tn= 7+2 (n-1)
Answer:
Your answer is 71
Step-by-step explanation:
7+2(n-1)
we have our n as 8
so,7+2(8-1)
9(7)=63
Find the shortest distance from Starting vertex A to F on the network below
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
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Karen y su madre se fueron de vacaciones. Karen pago la gasolina y su madre el alojamiento. Kieren gasto $65.25 más que un cuarto de lo que gastó su madre. Gastaron $659
Step-by-step explanation:
attached file 18. Given a chord AB is of length 5cm, of a circle with centre 0 . OL is perpendicular to chord AB and OL 4 cm. OM is perpendicular to chord CD such that OM =4 cm. to
cuál es el perímetro del triángulo amarillo?
Answer:
a/2 + b unidades
Step-by-step explanation:
Mi primera lengua es ingles (tienes paciencia por favor). Se da que la parte inferior es a/2 unidades. La parte anaranjada tiene un lado que es b/2, entonces todos los lados son b/2 tambien. Entonces el lado del derecho es b/2. La izquierda es b/2 tambien ( se da eso). Entonces el perimetro del triangulo amarillo es a/2 + b/2 + b/2 = a/2 + b unidades.
Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answer:
Step-by-step explanation:
Doug collects baseball and football cards. He has 5 baseball cards in his collection for every 4 football cards. If Doug has 68 football cards in his collection, how many baseball cards does he have?
What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
ASSESMENT. Indicate the voltage/resistance reading of the voltmeter/ohmmeter/multimeter below.
Correct answer= Brainlest and 5 stars with heart.
Nonsense= Report/ and I can disable ur acc so beware.
Answer:
When looking straight at the display, read the position of the needle along the scale.
Step-by-step explanation:
YAN PO YUNG CLUE TRY MO PONG GAWIN PERO YANG SAGOT KO HINDI PO NONSENSE
Which linear function represents the line given by the point slope equation y - 2 - 4(x - 3)? O RX) - 6x 1 O Rx) = ax - 6 O P(x) = 4x - 14 O x) = 4x -10
Answer:
Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10
Step-by-step explanation:
The graph shows the probability of cardiovascular disease by age and gender
Answer:
Can you add a screenshot or better quality image so I can answer
Step-by-step explanation:
Given m||n, find the value of x.
>m
(7x-1)
(9x+5)
>n
Answer:X=11
Step-by-step explanation:
Angles on a straight line sum up 180°
=>Let take line t (the diagonal) as our straight line
Therefore ; (7x – 1)° + (9x + 5)° = 180°
=>(7x + 9x + 5 – 1) = 180
=> 16x + 4 = 180
=> 16x = 180 – 4
=> 16x = 176
=> (16x)/16 = (176/16)
=> x = 11
HOPE MY EXPLANATION HELPED YOU
i need help pls thank y
help mee pleaseeeeee
Answer:
Option 1
Step-by-step explanation:
I need help with this differential equation.
(i) The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).
(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:
A/(factor 1) + B/(factor 2) + C/(factor 3) + ...
In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:
100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)
To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:
100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))
Now, we can equate the numerators:
100 = (A * (10 - x) + B * \(x^7\))
To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:
For x = 0:
100 = (A * (10 - 0) + B * \(0^7\))
100 = 10A
A = 10
For x = 10:
100 = (A * (10 - 10) + B *\(10^7\))
100 = B * 10^7
B = 100 / 10^7
B = 1/10^5
Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:
100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)
(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)
We are also given x = 1 when t = 0.
To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:
∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt
Integrating both sides:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C
Where C is the constant of integration.
Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:
-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C
-1 = 0 + C
C = -1
Plugging in the value of C, we have:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
To solve for t in terms of x, we can rearrange the equation:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Multiplying both sides by -1, we get:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
Simplifying further:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Now, we can isolate t on one side of the equation:
(1/100) * (10t - (1/2)t^2) = 1 - 1/x
10t - (1/2)t^2 = 100 - 100/x
Simplifying the equation:
(1/2)\(t^2\) - 10t + (100 - 100/x) = 0
At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:
t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))
Simplifying further:
t = (10 ± √(100 + 200/x)) / 1
t = 10 ± √(100 + 200/x)
Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).
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Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
I don’t know what to do
Answer:
B
Step-by-step explanation:
A cake mix calls for these ingredients 3 cups of milk 6 cups of flour 2 cups of sugar 1 cup of oil Which is the lowest ratio?
Answer:
3:6:2:1
Step-by-step explanation:
You can't divide any of them with a common denominator anymore, this is the lowest ratio.
A sculpture of the Earth is 829 kg. How many hydrpgen atoms
The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.
Given that,
Mass of the sculpture of the earth = 829 kg
We know that,
Mass of an hydrogen atom = 2 × 10⁻²⁷ kg
Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom
= 829 / 2 × 10⁻²⁷
= 414.5 × 10²⁷
= 4.145 × 10²⁹
Hence the required number of atoms is 4.145 × 10²⁹.
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How does the graph change between point A and point B?
On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B.
A. The graph increases.
B. The graph decreases.
C. The graph remains constant.
D. The graph increases, then decreases.
Answer:
the answer is b well i dont know i cant see any thing
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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You have started manufacturing tote bags from vintage fabric. It costs you
$12 to have each tote bag manufactured. You decide that you are going to sell them with a 50% markup. What will your retail price be?
Get me right twinnnn
Answer:
\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)
hope it helps:)
Answer:3x-21
Step-by-step explanation:
\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
\(5^2*5^4\\5^2^+^4\\5^6\)
What numbers can to equal 1080
Answer:
500 +500+80=1080
250+250+250+250+40+40=1080
Figure ABCD is a rhombus. Find the value of x.
3x - 13 8x - 7
x = [ ? ]°
Answer: 10
Step-by-step explanation:
For simplicity, I will let the intersection of the diagonals be point E.
Since diagonals of a rhombus bisect each other, we know that triangle DEC is a right triangle.
Thus, we can use the fact that the acute angles of a right triangle are complementary to conclude that:
(3x-13) + (8x-7) = 90 [angles that are complementary add to 90 degrees]11x - 20 = 90 [combine like terms]11x = 110 [add 20 to both sides]x = 10 [divide both sides by 11]\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: x = 10°\)
____________________________________
\( \large \tt Solution \: : \)
Diagonals of a Rhombus bisect each other at right angle (90°)
\(\qquad \tt \rightarrow \: x + 58 + 90 = 180\)
[ Sum of interior angles of a triangle ]
\(\qquad \tt \rightarrow \: 3x - 13 + 8x - 7 + 90 = 180\)
\(\qquad \tt \rightarrow \: 11x + 70 = 180 \)
\(\qquad \tt \rightarrow \: 11x = 180 - 70 \degree\)
\(\qquad \tt \rightarrow \: 11x = 110\)
\(\qquad \tt \rightarrow \: x = \cfrac{110}{11} \)
\(\qquad \tt \rightarrow \: x = 10 \degree\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Determine the measure of the missing angle in the figure below.
DRAG & DROP THE ANSWER
90
45
75
Missing angle:
Answer:
Step-by-step explanation: