Answer:
[tex]x = - \frac{25}{3} [/tex]
Step-by-step explanation:
[tex] \frac{10}{3} = \frac{x}{( - \frac{5}{2}) } [/tex]
i) simplify the complex fraction[tex] \frac{10}{3} = - \frac{2x}{5} [/tex]
ii) simplify the equation using cross multiplication[tex]5(10) = - 2x(3)[/tex]
[tex]50 = - 6x[/tex]
iii) swap the sides of the equation[tex] - 6x = 50[/tex]
iv) divide both sides of the equation by -6[tex] \frac{ - 6x}{ - 6} = \frac{50}{ - 6} [/tex]
[tex]x = - \frac{50}{6} [/tex]
v) simplify the fraction[tex]x = - \frac{25}{3} [/tex]
No solution:
3(x-4/3)=3x+?
Answer:
yes I try but not any solution come
please mark me brainliest and follow me my friend.
Solve for x.
Question 4 options:
A)
12
B)
13
C)
10
D)
11
Answer:
A cuz x+6 is double x-3 so divide them and equate it to 2 you'd get x+6 = 2x-6
12=2x-x
The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Answer:
Length of Mr. Roger's field = 5 miles
Step-by-step explanation:
Given that:
Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles
Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile
Let,
l be the length of Mr. Roger's field
Area of field = Length * Width
[tex]\frac{10}{3}=\frac{2}{3}l[/tex]
Multiplying both sides by 3/2
[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]
Hence,
Length of Mr. Roger's field = 5 miles
25/8 in decimal form
Answer:
3.125
Step-by-step explanation:
Answer:
25/8 in a decimal form is
Step-by-step explanation:
3.125
create an equivalent expression for 4t-18-t+2t+20
Answer:
5t + 2
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
4t - 18 - t + 2t + 20
Step 2: Simplify
Combine like terms (t): 5t - 18 + 20Combine like terms (Z): 5t + 2Answer:
5 t + 2
That's the answer
3 is 75% os what number?
Answer:
12
Step-by-step explanation:
Answer:
3 is 75% of 4
You can use quarters to help to :)
i need help with this question
9514 1404 393
Answer:
11/20
Step-by-step explanation:
It is appropriate to "invert and multiply".
[tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]
Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4
The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given equation of a line in slope-intercept form is y = (2/3)x + 4.
Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.
If one line has a slope of 'm' the line perpendicular to it will have slope
(-1/m).
Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.
learn more about lines and slopes here :
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PLEASE PLEASE PLEASE HELP ME
Answer:
We get the value of x: x= 2
Step-by-step explanation:
Since the triangles are similar, the ratios of the lengths of corresponding sides are same.
We can use proportions to find the value of x
The proportion will be:
[tex]\frac{BD}{DA}=\frac{BE}{EC}[/tex]
Now putting there values we can find value of x
We have:
BD = 6, DA = 4, BE = x+1, EC =x
Putting values
[tex]\frac{BD}{DA}=\frac{BE}{EC}\\\frac{6}{4}=\frac{x+1}{x} \\Cross\:Multiply\\6x=4(x+1)\\6x=4x+4\\6x-4x=4x+4-4x\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
So, we get the value of x: x= 2
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
-3/4y - 1/5y = 380 can be simplified to -19/20y = 380.
In order for the student to incorrectly get 361, they likely just multiplied the 380 by 19/20 rather than multiplying by the reciprocal (which would be -20/19).
This means the best answer should be B.
please answer if you think you are kind and beautiful of world
Answer:
y = 0
Step-by-step explanation:
Given (-5, 0) and (0, 0),
Find the slope (m):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{0 - (-5)} = \frac{0}{5} = 0 [/tex]
Slope (m) = 0.
Find the y-intercept (b):
y-intercept (b) = 0. This is the value of y, when x = 0.
To write the equation of the line, substitute m = 0, and b = 0 into y = mx + b
y = (0)(x) + 0
y = 0 + 0
y = 0
I GIVE BRAINLIEST!
Which statements are true about all points on the x-axis? Check all that apply.
They have a y-value of 0.
They have an x-value that is not 0.
They are not to the left or to the right of the origin.
They are in Quadrant I.
They are not in any of the quadrants.
They are not above or below the origin.
Answer:
They have a y-value of 0.
They are in Quadrant I.
They are not above or below the origin.
Step-by-step explanation:
i hope this helps:)
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
[tex]\displaystyle y=2\sqrt{6}[/tex]
[tex]\displaystyle x=2\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]
Solving for y:
[tex]y=4\sqrt{2}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\displaystyle y=2\sqrt{6}[/tex]
Now we use the sine ratio:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]
Solving for x:
[tex]x=4\sqrt{2}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}:[/tex]
[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]
Simplifying:
[tex]\displaystyle x=2\sqrt{2}[/tex]
The choices are not clear, but it seems like the correct answer is C.
[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]
[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]
how to do this question pls tell mme
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
Best and correct answer gets BRAINLIEST!!!
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3
Answer: B
At a pizza party, where each person had their own pizza, 12 people ate 100% of their pizza, 7 people ate 75% of their pizza, and 3 people only ate 50% of their pizza. What was the average amount of pizza eaten by all people attending the party?
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time
Explanation:
The probability of rolling a "2" is 1/6
The probability of rolling a "4" is also 1/6
Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.
The probability of rolling a 2 the first time and a 4 the second time is 1/36
There are 6 faces on a die.
Of these 6 faces, one of them is 2 and one of them is 4
So, the probabilities of rolling a 2 and a 4 are:
P(2) = 1/6
P(4) = 1/6
The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:
[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]
This gives
[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]
Multiply
[tex]\mathbf{Pr = \frac 1{36}}[/tex]
Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36
Read more about probabilities at:
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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = y i + (z − y) j + x k S is the surface of the tetrahedron with vertices (0, 0, 0), (8, 0, 0), (0, 8, 0), and (0, 0, 8)
Answer:
[tex]\dfrac{-8^3}{6}[/tex]
Step-by-step explanation:
According to the divergence theorem;
The flux through the surface S is given by the formula:
[tex]\iint _S F.dS = \iiint_E \ div (F) \ dV[/tex]
where the vector field is:
F = [tex]\langle y,z-y,x \rangle[/tex]
Then the divergence of the vector field is:
[tex]div (F) = \bigtriangledown.F = \Bigg [ \dfrac{\partial (y)}{\partial x} + \dfrac{\partial (z-y)}{\partial (y)}+ \dfrac{\partial (x)}{\partial (z)} \Bigg ][/tex]
= 0 - 1 + 0
= -1
Thus, the flux through the surface of the tetrahedron is:
[tex]\iint_S . FdS = \iiint _E(-1) \ dV \\ \\ = - \iiint_E \ dV[/tex]
To determine the volume of the tetrahedron with vertices O(0,0,0), A(8,0,0), B (0,8,0) & C(0,0,6)
The equation of the plane P moving through the vertices A, B and C is:
[tex]P = \dfrac{x}{8}+ \dfrac{y}{8}+ \dfrac{z}{8} = 1[/tex]
x + y + z = 8
Range:
For z: 0 ≤ z ≤ 8 - x - y
For y: 0 ≤ y ≤ 8 - x
For x; 0 ≤ x ≤ 8
Thus;
[tex]\iiint_E \ dV = \int ^8_0 \int ^{8-x}_{0} \int ^{8-x-y}_{0}[/tex]
[tex]\int ^8_0 \int ^{8-x}_{0} [z] ^{8-x-y}_{0} \ dydx = \int ^8_0 \int ^{8-x}_{0} \ (8 -x-y) \ dy dx[/tex]
[tex]\int ^8_0 [ (8-x)^2 - \dfrac{(8-x)^2}{2} ] dx = \dfrac{1}{2} \int ^8_0 (8-x)^2 \ dx[/tex]
i.e.
[tex]= \dfrac{1}{2} [ \dfrac{(8-x)^3}{(-1)^3}]^8_0[/tex]
[tex]= \dfrac{-1}{6}[(8-8)^3-(0-8)^3][/tex]
[tex]= \dfrac{-8^3}{6}[/tex]
This question is based on the Gauss Divergence theorem. Therefore, the surface integral [tex]\int\limits {F.dS}[/tex] is -85.33.
Given:
F(x, y, z) = y i + (z − y) j + x k S in outward orientation.
Tetrahedron with vertices (0, 0, 0), (8, 0, 0), (0, 8, 0), and (0, 0, 8).
We have to evaluate the surface integral [tex]\int\limits {F.dS}[/tex] .
According to the Gauss divergence theorem ,
The flux through the surface S is given by the formula:
[tex]\int\int _s F.dS = \int \int \int_e div (F)\; dV[/tex]
Where the vector field is:
F = ( y, z-y, x )
Therefore, the divergence of the vector field is:
[tex]div(F) = \bigtriangledown .F = ( \dfrac{\partial( y)}{\partial (x)} + \dfrac{\partial(z-y)}{\partial(y)} + \dfrac{\partial(x)}{\partial(z)} )\\\\div(F) = \bigtriangledown .F = 0-1+0=-1[/tex]
Thus, the flux through the surface of the tetrahedron is:
[tex]\int\int _s F.dS = \int \int \int_e (-1)\; dV = -\int \int \int_e \; dV[/tex]
Now, determine the volume of the tetrahedron with vertices O(0,0,0), A(8,0,0), B (0,8,0) & C(0,0,6).
The equation of the plane P moving through the vertices A, B and C is:
[tex]P = \dfrac{x}{8} +\dfrac{y}{8} +\dfrac{z}{8} = 1[/tex]
x + y + z = 8
Range:
For z: 0 ≤ z ≤ 8 - x - y
For y: 0 ≤ y ≤ 8 - x
For x; 0 ≤ x ≤ 8
Thus,
[tex]\int\int\int_e dV = \int\limits^8_0\int\limits^{8-x} _ 0 \int\limits^{8-x-y}_0 \; dzdxdy\\= \int\limits^8_0\int\limits^{8-x} _ 0 [z]\limits^{8-x-y}_0 dx \\= \int\limits^8_0\int\limits^{8-x} _ 0 (8-x-y) dy dx\\= \int\limits^8_0 [ 8y-xy-\dfrac{y^{2} }{2} ]\limits^{8-x}_ 0 dx\\= \int\limits^8_0 ([ 8-x]^{2} - \dfrac{ [ 8-x]^{2}}{2} ) dx\\= \dfrac{1}{2} [\dfrac{(8-x)^{3} }{(-1)^{3} } ] \limits^8_0\\=\dfrac{-8^{3} }{6} \\\\= -85.33[/tex]
Therefore, the surface integral [tex]\int\limits {F.dS}[/tex] is -85.33.
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please help!!!! find x and y
9514 1404 393
Answer:
(x, y) = (10, 2)
Step-by-step explanation:
The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:
6x +10y +30 = 110
4x +10y +10 = 70
Subtracting the second equation from the first gives ...
2x +20 = 40
x +10 = 20 . . . . . divide by 2
x = 10 . . . . . . . . . subtract 10
Substituting into the second equation gives ...
4(10) +10y +10 = 70
4 + y + 1 = 7 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . . . . . subtract 5
The values of x and y are 10 and 2, respectively.
Answer:
9514 1404 393
Step-by-step explanation:
You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You started with five cubic feet of sand. What equation models the amount of sand after minutes?
Answer:
10% of the remaining sand You had 5 ft of sand So y=5(.10(x))Answer:
the RIGHT answer is y = 5 x 0.90^x
Step-by-step explanation:
ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).
8 stones and 2 pounds − 4 stones and 2 pounds
Answer:
4 stones is the answer use basic mathematics
what is the area of this trapezoid?
plss help
i will telling you a brainlist!!!
Answer:
30in²
Step-by-step explanation:
A=1/2(4)(5+10)
A=2x15
A=30in²
for the figure shown below, find the value of the variable and the measure of the angles.
x is
measure angle P
measure angle Q
measure angle R
Answer:
All triangles has a total angle of 180. So x+38+2x+18+x=180
Solve for x: 4x+56=180 so 4x=124, x=31
PLEASE I NEED HELP WITH MATH HOMEWORK
Answer:
x=59
Step-by-step explanation:
3x+3=180
3x=177
x=59
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
Help plssssssssssssssss
Answer:
C, 2(x-3) = 22
Step-by-step explanation:
2(x-3) = 22
2((14)-3) = 22
2(14-3) = 22
2(11) = 22
22 = 22
7.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A.The axis of symmetry is x = 1 and the vertex is (1,4).
s
B.The axis of symmetry is x = 1 and the vertex is (1, 2).
rabolas
C.The axis of symmetry is x = 0 and the vertex is (0, 1).
as
D.The axis of symmetry is x = -1 and the vertex is (-1,0).
arabolas
The axis of symmetry is x = -1 and the vertex is (-1,0). Therefore, option D is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given quadratic equation is y=x²+2x+1.
From the graph axis of symmetry is x=-1
Rewrite in vertex form and use this form to find the vertex (h,k).
(-1, 0)
Therefore, option D is the correct answer.
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The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
2 The ratio of beans to rice at T. Blancos place is 2 to 3. There are 27 grains answer of rice on the plate. What is the total number of beans and rice on the plate
Answer: 45
Step-by-step explanation:
From the question, we are informed that the ratio of beans to rice at T.Blancos place is 2 to 3 and that there are 27 grains answer of rice on the plate. The number of beans would be:
= 2/3 × 27
= 18.
Therefore, the total number of beans and rice on the plate will be:
= 27 + 18
= 45
. The graph below shows the amount of money spent on a homeowners insurance bill and the period of time passed. Based on the information in the graph, how much will the Jones family spend on homeowners insurance after 9 months?
Answer:
$450
Step-by-step explanation:
First, find an equation that represents the proportional relationship between number of months (x) and amount spent (y).
A proportional equation can be represented in the form, y = kx, where,
k = constant of proportionality = y/x
Using a point on the line, (1, 50),
k = 50/1 = 50.
Substitute k = 50 into y = kx
The equation would be:
y = 50x
After 9 months (x), they would pay the following:
Substitute x = 9 into y = 50x
Thus:
y = 50(9)
y = 450