The equation that represents a line which is parallel to the y - axis would be B. x = −8.
Which lines are parallel to the y - axis?When a line is parallel to the y - axis, this means that the line does not cross the y - axis in any way and is both vertical and straight because the y - axis is vertical and straight.
Any line that is parallel to the y - axis will need to be expressed in terms of terms of x because the y axis is expressed in terms of x as x = 0. From the options, the only equation expressed in terms of x is x = -8. This line is therefore parallel to the y - axis.
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1 the leftmost end point of a line segment must be specified as the start point of the line. true false
False, the leftmost end point of a line segment cannot be specified as the start point of the line
Define line segment.A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.
Given,
False, the leftmost end point of a line segment cannot be specified as the start point of the line.
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A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. How much of each solution should she use?
Round your answer to the nearest ml
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
Define mixture.Mixture word problems require you to combine two or more separate items, and then calculate some quantity of the resulting mixture (such as a percentage, price, or number of liters, for example). There will always be some type of "rate," like miles per hour or price per pound. Mixtures are substances that contain two or more distinct substance categories. To separate them, utilize physical tools. Examples include air, different gases, a mixture of sugar and water, a solution of salt and water, and so on.
Given,
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution.
Equation:
X + y = 119
y = 119 - x
0.40x + 0.12y = 119 of 0.32
0.40x + 0.12y = 38.08
Using y = 119 -x
0.40x + 0.12(119 - x) = 38.08
0.40x + 14.28 - 0.12x = 3808 Eq(2)
0.28x = 23.8
x = 85
y = 119 - 85
y = 119 - 85
y = 34
Equating values in equation (2),
0.40(85) + 0.12(34)
34 + 4.08
38.08
A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
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Help please ty nobody is helpinf i am payint xtra
Answer:
A)- 65
B)- 25
c)- 25
To find A- pay attention to the bottom..add 60+55 then subtract that from 180
yu get 65..now we know that 65+90= 155 subtract that from 180 you get 25. so now we have B..B and C are congruent meaning they are equals
hope this helps
Work out the area of this circle. Take to be 3.142 and write down all the digits given by your calculator. Circles - Area 6.9 cm
The Area of the circle is 149.6 when the radius is 6.9cm.
Given that,
The radius is 6.9cm when the pi value is 3.142
Find the circle's area is what we must do.
We know that,
Radius is 6.9cm
r= 6.9cm
The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.
Area of the circle is πr²
Area of the circle= 3.142×6.9²
Area of the circle= 3.142×47.61
Area of the circle=149.6
Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.
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Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest. What was her initial deposit
Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700
Use the simple interest formula
I = P r t
where I = simple interest
P = principal
r= rate of interest
t= number of years
5922=Px6.3%x20
5922=Px1.26
P=5922/1.26
P=4700
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Helpp i need it quick lol
Answer: I would say it is 2 and 3
Step-by-step explanation:
I can't be 1 ben franklin was not the one fooling the king and France
It can't be 4 because Mesmers force did not exist.
Or the greenville tigers are having team shirts made. one option is to pay anthony's tees a $40 setup fee and then buy the shirts for $6 each. another option is to go to city printing, paying $20 for a setup fee and an additional $10 per shirt. the team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. what is the cost?
The total cost of the shirts that have same cost when x=5 is,
c=70
What is an equation?A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.
The entire cost is c
c = 40 + 6x
c = 20 + 10x
The quantity of shirts is x.
Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.
40+6x=20+10x
4x=20
x=5
You would solve for c in the first equation in this problem.
40+6x where x=5 then,
c=70
Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.
20+10x where x=5 then,
c=70
Therefore, the total cost of the shirts that have same cost is c=70 when x=5.
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Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4
The first equation is
3t = 12
t = 12/3
t = 4
The solution is {4}
The second equation is
3m + 7 = 14
3m = 14 - 7
3m = 7
m = 7/3
The solution is not {4}
The third equation is
4(4c + 1) = 68
4c + 1 = 68/4
4c + 1 = 17
4c = 17-1
4c = 16
c = 16/4
c = 4
The solution is {4}
The fourth equation is
9 = 5p - 11
5p = 9 + 11
5p = 20
p = 20/5
p = 4
The solution is {4}
Hence, Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4
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Which expression is equivalent to 4f^2
e
/
1
4f
Answer:
4f^2/3 divided 1/4f 16f^3/3 f/3 3/16f^3 3/f
✓ Lets use algebra and simplify:[tex]\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=…
A rectangular mural measures 238 centimeters by 435 centimeters. raegan creates a mural that is 27 centimeters longer. what's is the perimeter of ragans new mural
The perimeter of Ragans new mural is 530cm.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Here it is given that the measure of the rectangle is 238 cm and 435cm.
The Raegan creates a mural that is 27cm.
The formula to calculate the perimeter of a rectangle:
Perimeter = 2(length + breadth)
Earlier the length is 238cm and the breadth is 435cm.
Now replace the breath 435cm to 27cm.
length = 238cm
breadth = 27cm
Therefore we get the perimeter of the rectangle:
Perimeter = 2( 238 + 27)
= 2( 265)
=530cm
Therefore the perimeter is 530cm.
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Answer:
1400
Step-by-step explanation:
Show that a sum of the angles of a polygon could be 1800 and not 2000
Answer:
150
Step-by-step explanation:
The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.
What’s Question 6 and 7 ?
Step-by-step explanation:
6.
the factors need to be zero for the x-intercepts.
but (-3 - 3) = -6 and not 0.
the same for (-7 - 7) = -14 and not 0.
his mistake was the signs.
what do I need to add to -3 to get 0 ? 3. and 7 to -7.
so, the correct f(x) is
f(x) = (x + 3)(x + 7)
to get x-intercepts at -3 and -7.
7.
in the same way we get the factors here : for a given x the y value has to be 0.
how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.
therefore, for (-6, 0) the factor has to be
(x + 6) as -6 + 6 = 0
for (2, 0) the factor has to be
(x - 2) as 2 - 2 = 0
pick one of them as your answer. they are both correct factors for f(x).
Consider the circle represented by this equation.
x² + 4x + y2² - 2y - 4 = 0
Which features are features of the circle?
000
radius of 1
center at (-2, 1)
center at (-4, 2)
radius of 3
radius of 9
center at (2,-1)
Reset
Next
The given circle equation [tex]x^2+4x+y^2-2y-4[/tex]=0 has center(-2,1) and radius r=3.
What is circle equation?
For all values of g, f, and c, the general equation of any type of circle is written as x2 + y2 + 2gx + 2fy + c = 0. The collection of all points in a plane that maintain a fixed, finite distance r from a fixed point is known as a circle. O = (a,b). The definition of a circle on the coordinate plane can be expressed using the equation of a circle. The equation is where r is the radius and if the centre of the circle is at the origin of the coordinate plane.
Here the given circle equation is,
=> [tex]x^2+4x+y^2-2y-4[/tex]=0
=>[tex]x^2+4x+y^2-2y =4[/tex]
[tex]= > x^2+4x+4+y^2-2y+1=4+4+1\\= > (x+2)^2+(y-1)^2=9[/tex]
we know that equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]
Here (a,b)= center and r is radius.
=> [tex](x+2)^2+(y-1)^2=3^2[/tex]
Then the Center (a,b)=(-2,1) and radius r=3.
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Johnny has 8 pears, 5 apples, and 3 oranges. Draw a model to show the ratio of oranges to pears.
4, 7/4, -1/2, -11/4,
Arithmetic or Geometric
4, 7/4, -1/2, -11/4, is Arithmetic progression.
What is Arithmetic progression ?
An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
Here the series is given
4, 7/4, -1/2, -11/4,.....
In series, take 1st and 2nd terms to know common difference.
the common difference is = 7/4 - 4
= (7 - 16) / 4 = -9/4
Now, take 3rd and 2nd term
common difference = -1/2 - 7/4
= (-2 - 7) / 4 = - 9/4
so, we get the common difference is -9/4.
By that we can clearly say that given sequence of series is a Arithmetic sequence.
Hence, 4, 7/4, -1/2, -11/4, is Arithmetic progression
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William buys 5 small boxes of oat porridge and some large boxes too
in total he buys 6825 grams of porridge
work out the number of large boxes of oat porridge William buys
small boxes = 325 grams each
large boxes = 650 grams each
The number of large boxes of porridge that William bought, using a system of equations, was of:
8.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem.
For this problem, the variables are defined as follows:
Variable x: number of small boxes bought.Variable y: number of large boxes bought.William buys 5 small boxes of oat porridge, hence:
x = 5.
The total weight of his purchase is of 6825 grams, hence, considering the weight of each box, the following equation is built:
325x + 650y = 6825.
It is already stated on the problem that x = 5, hence the value of y can be obtained as follows:
325(5) + 650y = 6825.
y = (6825 - 325(5))/650
y = 8 large boxes.
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There are 11,357 pets in a town that has a population of 47,500. What is the number of pets per capita?
Round your answer to 2 decimal places.
The number of pets per capita is 0.24
Given,
Number of pets in a town = 11,357
Population of the town = 47,500
We have to find the number of pets per capita;
Per capita;-
The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).
Here,
Number of pets per capita = Number of pets / Population
Number of pets per capita = 11,357 / 47,500
Number of pets per capita = 0.24
That is,
The number of pets per capita is 0.24
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How can I evaluate P = 3n+2r+t -1 when n=3, r=2, and t=5?
Answer:
p=17
Step-by-step explanation:
P = 3n+2r+t -1
when n=3, r=2, and t=5?
we will just substitute for the values
p=3(3)+2(2)+5-1
p=9+4+4
p=9+8
p=17
;- The value for p is 17
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Starting at midnight, Aarf the Dog barks for 15 seconds and
then is silent for the next 25 seconds. Aarf the Dog continues
this bark-fest until 1:01 AM that same morning. How many
times did Aarf the Dog bark for 15 seconds?
The number of times Aarf the Dog bark for 15 seconds if the dog starts barking at midnight and stops at 1:01 AM is 91.5 times
What is the number of times Aarf the Dog bark for 15 seconds?Time Aarf dog barks = 15 secondsTime Aarf dog become silent = 25 secondsTotal time of barking and silence = 15 seconds + 25 seconds
= 40 seconds
Time Aarf dog starts barking = 12:00 amTime Aarf dog stops barking = 1:01 AMDifference in time = 1:01 AM - 12:00 am
= 1 hour 1 minutes
Convert hours and minutes to seconds
1 hour = 60 minutes1 minutes = 60 seconds1 hour 1 minutes = 61 minutes × 60 seconds
= 3,660 seconds
Number of times Aarf the Dog bark for 15 seconds = Total hours Aarf dog barks / Total time of barking and silence
= 3,660 / 40
= 91.5 times
So therefore, the number of Aarf the Dog bark for 15 seconds is 91.5 times
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in a class of 150 students the ratio of boys to girls is 3 2 how many more boys than girls are in the class
The number of boys and girls in a class of 150 students is 90 and 60 respectively.
RATIO:
Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.
i.e., it shows how many times a number contains another.
Total number of students = 150
ratio of boys to girls = 3 : 2
B:G = 3 : 2
now
3x + 2x = 150
5x = 150
x = 30
the number of boys = 3x = 3 X 30 = 90 boys.
the number of girls = 2x = 2 X 30 = 60 girls.
The number of boys and girls in a class of 150 students is 90 and 60 respectively.
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Y intercept = -1 and goes through the point (3,8)
The equation of a line for y-intercept and the coordinate point is y=3x-1.
Given that, y-intercept is -1 and the line passes through the point (3, 8).
What is a y-intercept?In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
Put, c=-1 and (x, y)=(3, 8) in y = mx+c, we get
8=m(3)-1
⇒ 3m=9
⇒ m=3
Substitute c=-1 and m=3 in y = mx+c, we get
y=3x-1
Therefore, the equation of a line for y-intercept and the coordinate point is y=3x-1.
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Hi, how would I solve this question and what's the answer
Answer:
-4/5
Step-by-step explanation:
do -3/2to get your answer
Step-by-step explanation:
You find the image of triangle by translation
In a certain chemical the ratio of zinc to copper is 4 to 11. a jar of the chemical contains 484 grams of copper. how many grams of zinc does it contain
The jar of chemicals contains 176 grams of zinc.
Using ratio and proportion to calculate the amount of zinc. Let us assume the mass of zinc to be x. Equating the ratios.
4 : 11 = x : 484
Rewriting the equation in terms of x
x = (484 × 4) ÷ 11
Performing multiplication in numerator on Right Hand Side of the equation to find the value of x
x = 1936 ÷ 11
Performing division on Right Hand Side of the equation to find the value of x
x = 176
Thus, the mass of zinc is 176 grams.
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Can someone please explain how to factor X^2 + 2x - 15?
The factored form of x² + 2x - 15 is (x + 5)(x - 3).
What is factorisation?Factorisation is a process of finding the factors of algebraic equations and representing them in simple form instead of expanded form.
Therefore, let's factor x² + 2x - 15
x² + 2x - 15
let's find two numbers we can add to get 2 and multiply to get - 15. The two numbers are -3 and 5.
Therefore,
x² - 3x + 5x - 15
x(x - 3) + 5(x - 3)
(x + 5)(x - 3)
Therefore,
x² + 2x - 15 = (x + 5)(x - 3)
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Sarah needed to get her computer fixed. she took it to the repair store. the technician at the store worked on the computer for 5.25 hours and charged her $133 for parts. the total was $579.25. which equation could be used to determine cc, the cost of labor per hour?
The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.
Given:
The technician at the store worked on the computer for 5.25 hours and charged her $133 for parts.
Total charged = 579.25
Let x be the charge per hour.
so the equation = 5.25x + 133 = 579.25.
Technician charge = 579.25 - 133 = 446.25
5.25 hours = 446.25
divide by 5.25 on both sides
5.25 hours / 5.25 = 446.25/5.25
1 hour = $85
Therefore The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.
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Given g(x)=x-4 and h(x)=2x-8use the graph shown to evaluate the composition (f•g)(0)
Answer:
(f ￮ g)(0) = 3
Step-by-step explanation:
evaluate g(0) then substitute the value obtained into f(x)
g(0) means what is the value of g(x) when x = 0
from the graph g(0) = 2 , then
f(2) , that is what is the value of f(x) when x = 2
from the graph f(2) = 3
then
(f ￮ g)(0) = 3
Bert keeps honeybees on his farm. When he first started, he used a six frame beehive that have 40 pounds of honey. Now, he uses a 30 frame we have. It has the same ratio of frames to honey it’s a smaller behive.
How much honey does Burt‘s new beehive hold?
The amount of honey that Bert’s new beehive hold would be; 200.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given data that the Number of frame beehive = 6
The Pound of honey = 40
The Current Frame beehive = 30
First step is to formulate an equation and then use the formulated equation;
40 × 30 ÷ 6
Hence, 40 × 5
= 200 honey
Therefore, the number of honey would be; 200.
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A small park in the shape of a rectangle has dimensions 20m by 50m. a road through the park follows the diagonal of the rectangle. find the length of the road in simplest radical form.
The length of the road in the simplest radial form is 10[tex]\sqrt{29}[/tex].
Here a rectangle of dimensions is 20m by 50m. So the length of 50m and the breadth is 20m
As the road is diagonal of the rectangle.
So we have to find the length of the diagonal of the rectangle.
Formula to find the diagonal of rectangle:
Diagonal = [tex]\sqrt{l^{2} + b^{2} }[/tex]
length (l) = 50m
Breadth(b) = 20m
Diagonal = [tex]\sqrt{50^{2} + 20^{2} }[/tex]
= [tex]\sqrt{2500 + 400}[/tex]
= √2900
= 10√29
Therefore the length of the road is 10√29.
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The total measure of two adjacent angles is 153°. if one of the adjacent angles measures 104.7°, determine the measure of the other adjacent angle. 194.7° 257.7° 48.3° 75.3°
One of the unknown adjacent angle measures 48.3 degrees.
The adjacent angles are next to each other and hence are calculated by performing addition of the constituent angles. Let us assume the unknown adjacent angle be x.
Forming the equation based on x, adjacent angles and it's sum
104.7 + x = 153
Rewriting the equation as per the x
x = 153 - 104.7
Performing subtraction on Right Hand Side of the equation to find the value of x
x = 48.3 degrees
Thus, the measure of the adjacent angle is 48.3 degrees.
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Answer: its 48.3
Step-by-step explanation:
x+104.7= 153 -104.7 -104.7 =48.3
the distance y (in miles) that train A travels in x amount of time is represented by the equality y=78x. The graph shows the distance that train B travels.
URGENT PLS ANSWER!!!
ty!
We can conclude that train A is moving faster than train B
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
The distance y (in miles) that train A travels in [x] amount of time is represented by the equality y = 78x. The graph shows the distance that train B travels.
Train A is moving with speed s[A] = 78 miles/hour {As slope of the equation is 78}. The train B will move with speed given by -
s[B] = (132 - 66)/(2 - 1) = 66 miles/hour
Therefore, we can conclude that train A is moving faster than train B
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[In the complete question it is asking to find which train is moving faster]