The number of blue cars is 375.
What is a ratio?
Ratio is a relationship between two values, represented by numbers or percentage Which expresses which of the two value are bigger. And to find that we cancel the common factor between them.
We are given that the ratio of blue cars to red cars is 3:5
Also there are 600 cars in the parking lot
Now, Let the common factor between them be 'x'
Hence the number of red cars is 3x and number of blue cars is 5x
Hence the equation can be given as
3x+5x = 600
8x = 600
Dividing both sides by 8 we get
x= 75
Hence the number of blue cars is 5(75)= 375
The number of blue cars is 375
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What is an equation of the line that passes through the points (-1, 7)and (1,−3)?
Answer: y = -5x+2
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]
therefore, given those two points,
Slope = [tex]\frac{(-3)-7}{1-(-1)}[/tex]
Slope = [tex]\frac{-10}{2}[/tex]
Slope = -5
Since the m value is the slope, m = -5
In order to find the b value, just substitute the values in the equation with any of the two points given. I'll use (-1,7) but you can use the other one just fine.
let x =1, y = -3
-3=-5(1)+b
-3 = -5+b
-3+5 = b
b = 2
Plug b in the equation:
y=-5x+2
[tex]\frac{bd}{a}[/tex]+c if a=−2, b=3, c=−12, and d=−4.
Answer:
-6
Step-by-step explanation:
3(-4)/-2+(-12)
=-12/-2+(-12)
=6-12
=-6
K 39b
2. Find the equation of the parabola that is a translation of y=2x²-3x+4.
passes through point (2, -1), and has x= 1 as its axis of symmetry.
Then draw the graph.
The axis of symmetry has the equation x=2, and the vertex is (2,4). The chart is displayed below.
What is parabola?A quadratic function's graph is a parabola. A parabola, according to Pascal, is a circle's projection.Galileo described the parabolic route that projectiles take as they fall under the influence of uniform gravity. Many bodily movements have a curvilinear course that has the shape of a parabola.In mathematics, a parabola is any planar curve that is mirror-symmetrical and typically resembles a U shape.Here, our goals are to comprehend the origin of the parabola's standard formula, its several standard forms, and its characteristics.For example,
Find the vertex of y = x^2 - 4x + 8 and sketch its graph.
Solution
Completing the square, we have
y = x^2 - 4x + 8
= (x-2)^2+4 .
Hence the vertex is (2,4) and the axis of symmetry has equation x=2.
The graph is shown below.
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The volume of a cylinder is V=nr²h. What is r in
terms of h and V? (Solve for r)
The volume of a cylinder in terms of r is √V/πh.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, the volume of a cylinder = πr²h
Solving in terms of r,
r = √V/πh
Hence, The volume of a cylinder in terms of r is √V/πh.
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Help me with this question I’ll give highest rating
The value of [tex]x_4[/tex] = 5.8284.
Given:
An iterative formula:
[tex]x_{n+1} = 19/x_n + 3[/tex]
and [tex]x_1[/tex] = 9
for x_2 n = 1 substitute
[tex]x_{1+1} = 19/x_1 + 3[/tex]
[tex]x_{2} = 19/9 + 3[/tex]
= 19 + 3*9 / 9
= 19+27 / 9
= 46/9
[tex]x_3 = 19/x_2 + 3\\[/tex]
= 19/46/9 + 3
= 19*9 / 46 + 3
= 171+138 / 46
= 309/46
[tex]x_4 = 19/x_3 + 3[/tex]
= 19/309/46 + 3
= 19*46+3*309 / 309
= 1801/309
= 5.8284
Therefore The value of [tex]x_4[/tex] = 5.8284.
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31.95 divided by 36.05
round answer in 2 decimal places
Answer:
0.89
Step-by-step explanation:
31.95 is about 32
36.05 is about 36
32/36 is 0.888...
rounded is 0.89
Answer:
.89
Step-by-step explanation:
How do you evaluate log6 36?.
After evolution of log_6(36) value obtain is 2..
What is Logarithm?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 103, the logarithm of 1000 in base 10 is 3, or log10 = 3.
Given that;
log6 36
Formula we used to solve this logarithm equation is :
logb(x) = y, if b^y = x
So,
y = log6 36
= log6 62
= 2 log6 6 = 2 x 1
log6 36 = 2
Hence ,the value log6(36) is 2.
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A parabola can be drawn given a focus of (7,3) and a directrix of y = 5. What can be
said about the parabola?
The parabola has a vertex at
), has a p-value of and it [
A parabola that have a focus of (7,3) and a directrix of y = 5 has these attributes
The parabola is a vertical parabola and facing down
the vertex of the parabular is v(7, 4)
p value of the parabola = -1
How to describe parabola with focus of (7,3) and a directrix of y = 5A parabola refers to shape that traces equation of the form
ax² + bx + c
The directrix of a parabola refers to a vertical or horizontal line that never touches the parabola and at distance p to the vertex of the parabola., and 2p to the focus of the parabola.
when the directrix is on the y coordinate, the parabola formed is a vertical parabola.
If the value of the directrix is more than the corresponding focus or vertex there will be negative p and the parabola will face downward.
conversely, If the value of the directrix is less than the corresponding focus or vertex there will be positive p and the parabola will face up.
from definition of the directrix we calculate for p
2p = y coordinate of focus - equation of directrix
2p = 3 - 5
2p = -2
p = -1
vertex, v(h, k) compared with f(h, k + p)
h + p = 3
h = 4
therefore vertex is (7, 4)
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Write the following expression in simplest form.
(4 + 15.6a) − (7 + 3.7a)
Answer:
19.3a - 3
Step-by-step explanation:
(4 + 15.6a) − (7 + 3.7a) =
4 + 15.6a - 7 + 3.7a =
19.3a - 3
Answer:
[tex] \sf \: 11.9a - 3 [/tex]
Step-by-step explanation:
Now we have to,
→ simplify the given expression.
The expression is,
→ (4 + 15.6a) - (7 + 3.7a)
Let's simplify the expression,
→ (4 + 15.6a) - (7 + 3.7a)
→ 4 + 15.6a - 7 - 3.7a
→ (15.6a - 3.7a) + (4 - 7)
→ (11.9a) + (-3)
→ 11.9a - 3
Hence, the answer is 11.9a - 3.
sarah baked blueberry and chocolate muffins in the ratio of 5:2. she gave 6 blueberry muffins to her brother and now the ration of blueberry to chocolate muffins has changed to 3:2. find how many blueberry muffins she has left.
The number of blueberry muffins she is left with is 9.
What is ratio?The quantitative relation between two amounts, showing the number of times one value contains or is contained within the other.
Given that, Sarah baked blueberry and chocolate muffins in the ratio of 5:2. she gave 6 blueberry muffins to her brother, and now the ratio of blueberry to chocolate muffins has changed to 3:2.
Let the number of muffins before be 5x and after be 3x, then
5x-6 = 3x
2x = 6
x = 3
Therefore, the number of muffins after = 3*3 = 9
Hence, The number of blueberry muffins she is left with is 9.
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There are 60 seconds in 1 minute.
Use the drop-down menus to help write the equation that can be used to find the
number of seconds, s, given the number of minutes, m.
Answer: Answer: 1m = 60s, what is the equation?
Step-by-step explanation: 1 minute = 60 seconds so 60s = 1m
What are the factors and multiples of 2000?
Answer:
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
&
The multiples of 2000 are 2000, 4000, 6000, 8000, 10000, 12000, 14000, 16000, 18000, 20000, ...
Saul wants to cash a check for $715 at his bank. He has $436 in his bank account. How much more money will he need in his bank account to cash the check?
(Write your answer in $00.00 amounts)
For 0 ≤ θ < 2π , what are the solutions to sin2(θ) = 2sin2 (startfraction theta over 2 endfraction)? left-brace 0, startfraction pi over 2 endfraction, startfraction 3 pi over 2 endfraction right-brace left-brace 0, startfraction pi over 2 endfraction, pi right-brace left-brace 0, pi, startfraction 3 pi over 2 endfraction right-brace left-brace startfraction pi over 2 endfraction, pi, startfraction 3 pi over 2 endfraction right-brace
Solutions for the given expression in the given interval will be {0, π/2, 3π/2}.
What are trigonometric expressions?
Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.
Refer to the attachment for the Question:
[tex]\sin^2{(\theta)}=2\sin^2{(\frac{\theta}{2})}[/tex]
[tex][2\sin{(\frac{\theta}{2})}\cos{(\frac{\theta}{2})}]^2=2\sin^2{(\frac{\theta}{2})}[/tex]
[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]=2\sin^2{(\frac{\theta}{2})}[/tex]
[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]-2\sin^2{(\frac{\theta}{2})}=0[/tex]
[tex]2\sin^2{(\frac{\theta}{2})}[2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]
[tex]\sin{(\frac{\theta}{2})}=0[/tex]
[tex]{(\frac{\theta}{2})}=n\pi[/tex]
[tex]\theta=2n\pi[/tex] [Here, n = integer]
[tex]\theta=0,\pi,2\pi,....[/tex]
Therefore,[tex]\theta=0[/tex] [Since,[tex]0\le \theta < 2\pi[/tex] ]
[tex][2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]
[tex]\cos{\theta}=0[/tex]
[tex]x=\frac{\pi}{2}+\pi n[/tex] [Here, n = integer]
Therefore,[tex]\theta=\frac{\pi}{2}, \frac{3\pi}{2}[/tex] [Since, [tex]0\le \theta < 2\pi[/tex]]
Hence, solutions for the given expression will be {0, π/2, 3π/2}.
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Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–6
–4
3
5
y
–4
–6
–6
0
How many points should appear in Kelsey’s graph?
According to the given coordinates, there are 4 set of points will appear on the Kelsey’s graph and the graph is attached below.
Coordinates.
Coordinates refers the locations of points on a grid known as the cartesian plane or coordinate plane.
Given,
Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.
Here we need to find the number of points should appear in Kelsey’s graph.
In order to find the number of points, first we have to plot the table vales on the graph.
Once we plotted the values on the graph then the graph is look like the following graph.
While we looking through the graph we have identified that the points are (-6,-4), (-4, -6), (3, -6) and (5, 0) are presented on the graph.
Therefore, there are 4 points are plotted on Kelsey’s graph.
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X= 1/2 y= -2/5. X+2y
Answer:
X= 1/2 y= -2/5. X+2y= -1/5.
The equation of the line passing through the point with coordinates (1/2, -2/5) and having slope -1/2 is:
y = -1/2x + b.
Substituting coordinates of the point in the equation, we get:
-2/5 = -1/2(1/2) + b => b = 1/5.
Therefore, the equation of the line is:
y = -1/2x + 1/5.
Step-by-step explanation:
Carmen tutor hitory. For each hour that he tutor , he earn 30 dollar. Let E be her earning (in dollar) after tutoring for H hour. Write an equation relating E to H. Then ue the equation to find Carmen’ earning after tutoring for 13 hour
Camron (E) = 20h, she earns $300 for 15 hours.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
with the help of unitary methodCamron (E) = 20h, she earns $300 for 15 hours.Hence,Camron (E) = 20h, she earns $300 for 15 hours.
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john is $\frac{3}{4}$ the age of james. three years ago, john was $\frac{5}{7}$ the age of james. how old is james?
James is 24 years old.
Let John's age now is J.
Let james's age now is A.
From the question, we have
John is 3/4 the age of james.
J=3/4*A
J=3A/4
Three years ago, John was 5/7 the age of james.
J-3=5/7*(A-3)
J-3=(5A-15)/7
J=(5A-15)/7+3
3A/4=(5A-15)/7+3
21A=4(5A-15)+84
21A=20A-60+84
A=24
James is 24 years old.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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in a simple linear regression model (one independent variable), if we change the input variable by 1 unit. how much output variable will change?
In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.
What is linear regression?
According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.
Main Body:
For linear regression
Y=a + bx + error
If we neglect error
then Y=a + bx.
If x increases by 1
then Y = a +b(x+1) which implies
Y=a + bx + b.
So Y increases by its slope.
Hence their is an increase in the slope in y.
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what is 3+1x 4+ (-7)
Find the slope of the line graphed below.
Answer:
By counting, we see that the point travels down 3, over 6. This is a slope of -3/6. This then simplifies down to -1/2.
The slope is -1/2
Tell whether the pair of polygons is similar. Explain why or why not.
The pair of polygons in the diagram are not similar.
What are polygons?
A closed polygonal chain made up of a finite number of straight-line segments is what defines a polygon in geometry. A polygon can be defined as a region that is circumscribed by a bounding circuit, a plane, or both. The edges or sides of a polygon circuit are its segments.
Solution Explained:
Similar polygons have proportional matching sides and all corresponding angles that are congruent.
Since the polygons' side lengths ensure that they are parallelograms, the congruence of just one pair of related angles is sufficient to guarantee the congruence of all the others.
The ratio of side lengths in the left polygon is 13/8, whereas in the right polygon it is 5.2/2.4, which equals 13/6. The matching sides are NOT proportionate since their ratios are different from one another.
Hence, the pair of polygons are not similar.
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x+5y-3z=19
2x-3y+4z=-11
4x+y-2z=9
guys i need help with this asap
The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.
Given that,
The equation x+5y-3z=19
2x-3y+4z=-11
4x+y-2z=9
We have to find the x,y ad z values. Its is nothing but the zeros of the polynomial.
Take the equations as,
x+5y-3z=19----->equation(1)
2x-3y+4z=-11----->equation(2)
4x+y-2z=9----->equation(3)
Subtracting equation (2) with 2×equation(1)
(x+5y-3z=19)×2⇒ 2x+10y-6z=38
2x-3y+4z=-11
----------------------------
13y-10z=49----->equation(4)
Now,
Subtracting equation (3) with 2×equation(2)
(2x-3y+4z=-11)×2⇒ 4x-6y+8z=-22
4x+y-2z=9
---------------------------
-7y+10z=-31-------->equation(5)
Now,
Adding equation (4) and equation(5)
13y-10z=49
-7y+10z=-31
-----------------
6y=18
y=18/6
y=3
Now,
Substitute y=3 in equation(5)
-7(3)+10z=-31
-21+10z=-31
10z=-31+21
10z=-10
z=-10/10
z=-1
Now,
Substitute y=3 and z=-1 in equation(1)
x+5y-3z=19
x+5(3)-3(-1)=19
x+15+3=19
x+18=19
x=19-18
x=1
Therefore, The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.
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Pre-image ABCD is dilated to be image A′B′C′D′ . The origin is the center of dilation. What scale factor is used to create the dilation? Enter your answer in the box. coordinate plane with two squares. square abcd has vertices a at (1, 2), b at (2, 2), c at (2, 1), and d at (1, 1). square a prime b prime c prime d prime has vertices a prime at (3, 6), b prime at (6, 6), c prime at (6, 3), and d prime at (3, 3).
Answer:
The scale factor is 3
Step-by-step explanation:
A van moves with a constant speed of 20
miles per hour. How far can it travel in
1/4 hour?
The van will travel 5 miles in 1/4 hours, if its speed is 20 miles/hour.
What is speed?Speed is the amount of distance covered in a unit of time.It speaks of the motion of an object.The magnitude of the velocity vector is the scalar quantity known as speed.It lacks a distinct direction.A higher speed indicates a faster rate of movement.If the speed is lower, it is moving more slowly.If something isn't moving at all, it has no speed.The constant velocity of an item moving straight ahead can be calculated using the formula:.r = d / t, andd is the distance traveled, and r stands for rate or speed (often written as v, for velocity).The time required to complete the movement
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Evaluate the expression: If x = -25 and y = 10, what is the value of x + y -10
Evaluating the expression in x = -25 and y = 10 gives the value -25.
How to evaluate the expression?Here we have the expression:
x + y - 10
And we want to evaluate it in x = -25 and y = 10, this just means that we need to replace the variables in the expression by the correspondent numbers.
Doing that we get:
-25 + 10 - 10
Now we can just simplify this expression:
-25 + 10 - 10 = -25 + (10 - 10) = -25
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find the LCM of 12 and 42
Asap pls.
Answer:
LCM of 12 and 42 is 84. it is correct
what is the value of y-coordinate of the solution of the systems of equation 2x+3y=6 and 2x+y=-2
The value of y-coordinate of the solution of the system of equation
2x + 3y = 6 and 2x + y = -2 is y = 4.
Given, a system of equation
2x + 3y = 6 and 2x + y = -2
On subtracting both the equations, we get
3y - y = 6 - (-2)
2y = 6 + 2
2y = 8
On dividing both the sides by 2, we get
2y/2 = 8/2
y = 4
So, the value of y-coordinate of the solution is y = 4.
Hence, the value of y-coordinate of the solution of the system of equation 2x + 3y = 6 and 2x + y = -2 is y = 4.
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which expression is equivalent to 10q+5
Answer:
5q+5q+5
Step-by-step explanation:
what are the next 2 terms for the sequence: 1, 8, 27, 64, 125
Answer:
216, 343
Step-by-step explanation:
1, 8, 27, 64, 125 ← are perfect cubes , that is
1³ = 1 × 1 × 1 = 1
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
4³ = 4 × 4 × 4 = 64
5³ = 5 × 5 × 5 = 125
continuing the pattern for 6 and 7
6³ = 6 × 6 × 6 = 216
7³ = 7 × 7 × 7 = 343
thus the next 2 terms in the sequence are 216, 343
