Answer:
x=16
Step-by-step explanation:
Answer:x=16
Step-by-step explanation: 10 divided by 5/8 is 16 so x equals 16
5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
7
2
If mZ1 = 4x + 14 and mZ2 = 8x + 10, lines m
and n are parallel when x equals
A. 1
B. 6
C. 13
D. 17
The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
As we can see in the figure, the lines m and n are cut by transversal p.
Then the sum of angles mZ1 and mZ2 is equal to 180 degree.
4x + 14 +8x + 10 = 180
12x + 24 = 180
12x = 156
x = 13
Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.
Learn more about the linear equation here:
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Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *
Answer: The answer should be 1.5.
Step-by-step explanation:
$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5
Answer:
$.5
Step-by-step explanation:
hope this helps y'all
For shipping packages, UPS charges $7.00 for the first pound, and $0.20 for each additional pound. FedEx charges $5.00 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same? Using p for the number of pounds, write and solve and equation to represent this situation.
Answer:
x=20
Step-by-step explanation:
7+0.20x=5+0.30x
then take the 7 and subtracet the 2 from it, then take the 0.30 and subtract the 0.20 from it then you should get 2=0.10x
then to get rid of the 0.10 you take it and divide it from the 2 which gives you 20 then you have 20=x and thats your answer
PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15
Answer:
x=0
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
3(2x−5)=−15
Step 1: Simplify both sides of the equation.
3(2x−5)=−15
(3)(2x)+(3)(−5)=−15(Distribute)
6x+−15=−15
6x−15=−15
Step 2: Add 15 to both sides.
6x−15+15=−15+15
6x=0
Step 3: Divide both sides by 6.
6x/6 = 0/6
x=0
Hope this helps :)
Answer:
2x-5= -3x times(x) 3 is -9
Step-by-step explanation:
PEMDAS
A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1
(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate is 1.2 units per second.
(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:
[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)
Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.
If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:
[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]
[tex]\frac{dy}{dx} = 4[/tex]
And the slope of a line normal of a curve is:
[tex]m_{\perp} = -\frac{1}{4}[/tex]
By definition of secant curve we calculate the remaining coordinate of the point Q:
[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)
Where:
[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:
[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]
[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]
[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]
[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]
[tex]x = 21[/tex]
The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:
[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]
[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]
[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]
[tex]y = 6\cdot \ln u[/tex]
[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]
And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:
[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]
[tex]C = -1.592[/tex]
The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:
[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)
If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:
[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]
[tex]\frac{dy}{dt} = 1.2[/tex]
The rate of increase of the y-coordinate is 1.2 units per second.
To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911
i). The coordinates of Q is equal to:
[tex](x,y) = (21, 0)[/tex]
ii). The equation of the curve is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate when x = 1:
[tex]1.2 units[/tex] per second
i). Using analytical geometry,
[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.
[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.
Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-
-1/4 = (0-5)/(x - 1)
∵[tex]x = 21[/tex]
Thus, the coordinates of y = (21, 0)
ii). Through isolating the variables and employing integration:-
[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]
by integration and integration constant (1,5), the equation is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate:
[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]
∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]
Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.
Learn more about "Co-ordinates" here:
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pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
C. There is one solution, because the coefficients of the variables on both sides of the equation are different.
Step-by-step explanation:
The solution is m = 1
~theLocoCoco
Help me please!! I can’t figure this out...
Answer:
-2
Step-by-step explanation:
-2-4/3-0=-2
you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values
Answer:
-2
Step-by-step explanation:
You can use the equation rise over run, which is basically y2-y1 over x2-x1
Y2 is -2 and y4 is 4, x2 is 3 x1 is 0
-2-4 over 3-0=-6/3=-2
Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.
Answer:
0.75
Step-by-step explanation:
y²-y¹/x²-x¹
8-5/1-(-3)
3/4
=0.75
Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
What is the transformation!
reflection, rotation, translation, none of them !
Answer:
translation
Step-by-step explanation:
Sliding: moving a shape without rotating or flipping it.
I don’t understand help me plz hard
Answer:
-2 1/2 is the correct answer
I hope this helps! If it is correct please mark brainliest answer, thank you!
Stay safe, God bless and happy studying!
3 + 2p - 4 = 11
algebra 1 solving equations
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
If the point (2,3) lies on the line 4y = ax +5 , then a -
(a) 7/2
(b) 1
(o) -2
(d) none of these
Answer:
B
Step-by-step explanation:
Parallel or perpendicular 3x+5y=10 and 5x-3y=-6
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
Given h(x) = 4(x + 5) - 7
Find h(7)
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 5x - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(2a) = 5(2a) - 4[/tex]
[tex]f(2a) = 10a - 4[/tex]
[tex]156 = 10a - 4[/tex]
[tex]10a - 4 = 156[/tex]
Add sides 4
[tex]10a - 4 + 4 = 156 + 4[/tex]
[tex]10a = 160[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]
[tex]a = 16[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
She getting up there
Answer:
that's a lot of clients
WILL MARKDOWN BRAINLIEST
Answer:
1. $539
2. $300
3. C
Step-by-step explanation:
May I have brainliest?
how do you do this? plz help me with math!
Answer:
it's x=50 hope this helps
Answer:
[tex]\frac{50}{5}[/tex] is the answer
Step-by-step explanation:
you would times 10 by 5 and you have your answer
can someone help me?
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
Help pleasseeeeeeeeeeeeeeeeeeer
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answer:
bruh 4 days duh
Step-by-step explanation:
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
Evaluate the following expression. 1 + tan^2(pi/6)
A. 2
B. 4
C. 11/3
An explanation of the answer will be awarded extra points
Answer:
B
Step-by-step explanation:
I Can't explain it,I'm sorry
Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
please help me thanks
Answer: I think its Consine
Step-by-step explanation:
. A person weighing 120 pounds has about 20 pints of blood in their body. Which equation below represents the relationship between pints of blood, b, to a person's weight, w?
Answer:
[tex]w = 6b[/tex]
Step-by-step explanation:
Given
[tex]b = blood[/tex]
[tex]w = weight[/tex]
[tex]b = 20; when\ w = 120[/tex]
Required
Determine the equation that binds both parameters
First, we need to determine the constant of proportionality using:
[tex]w = k * b[/tex]
Where k represents the constant.
Substitute 120 for w and 20 for b
[tex]120 = k * 20[/tex]
Divide both sides by 20
[tex]6 = k[/tex]
[tex]k = 6[/tex]
Using the same formula, substitute 6 for k
[tex]w = 6 * b[/tex]
[tex]w = 6b[/tex]
Hence:
The equation is represented as [tex]w = 6b[/tex]