Answers
Answer:
B
Step-by-step explanation:
Answer:
The answer is B : Perpendicular
Step-by-step explanation:
Parallel lines are lines that never intersect as or do not meet so this is not the case. Skew lines are lines that neither intersect nor they are parallel. This are lines that are in separate planes in space so they never touch. Adjacent lines are lnes that meet at a specific point , but can form any type of angle. Perpendicular lines are lines that cross and form 4 right angleso rangles of 90 degrees so this is the answer,
Related Questions
Really need help please Quadratic Equation?
A model rocket is launched with an initial upward velocity of 30 m/s. The rockets height h ( in meters) after t seconds is givenby the following.
h=30t-5t^2
Find all values of t for which the rockets height is 10 meters.
Round your answers to the nearest hundredth
Answers
Answer:
t = 0.35, t = 5.65
Step-by-step explanation:
You are given h = 30t - 5t^2. Put this in standard form order (ax^2 + bx + c) by switching the two terms.
h = -5t^2 + 30t
Now you want to find all the values of t for which the rocket's height is 10 meters, so your equation will be equal to 10 instead of h, because 10 is the height you are solving for.
10 = -5t^2 + 30t
Make the entire equation equal to 0 by subtracting 10 from both sides.
0 = -5t^2 + 30t - 10
To solve this quadratic equation, the easiest way would be to use the quadratic formula: [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Identify your a, b, and c values in the standard form equation (a = -5, b = 30, c = -10) and substitute these values into the quadratic formula.[tex]\frac{-(30)\pm\sqrt{(30)^2-4(-5)(-10)} }{2(-5)} \rightarrow \frac{-30\pm\sqrt{900-200=700} }{-10} \rightarrow \frac{-30\pm\sqrt{700} }{-10}[/tex]
We have (-30 ± sqrt 700)/-10.
Use a calculator to input the two solutions and solve for them; (-30 + sqrt 700)/-10 and (-30 - sqrt 700)/-10.
[tex]\frac{-30+\sqrt{700} }{-10} = 0.35[/tex]
[tex]\frac{-30- \sqrt{700} }{-10} =5.65[/tex]
The quadratic formula is used to solve the equation h = 30t - 5t^2 when h is set to 10 meters, yielding two times at which the rocket's height is 10 meters: approximately 0.59 seconds and 3.41 seconds.
10 = 30t - 5t2
Moving all terms to one side we get:
5t2 - 30t + 10 = 0
To simplify, we divide the entire equation by 5:
t2 - 6t + 2 = 0
Now we can apply the quadratic formula:
t = √ (62 - 4*1*2) )/ (2*1)
Calculating under the square root, we get:
t = (6 √ (36 - 8) )/ 2
t = (6 ± √28) / 2
Thus, the two solutions for t are:
t = (6 + √28) / 2 and t = (6 - √28) / 2
Rounded to the nearest hundredth, the values of t are approximately 0.59 s and 3.41 s. The rocket reaches a height of 10 meters at these two instances during its flight - once when ascending and once when descending.
In college math class of 50 student are 23 are boys 27 are girls on the final exam 15 boys and 14 girls made an A. What is the probability of choosing a boy or an girl A student is choosen at random from the class
Answers
Answer:
The probability of choosing an A student is 58% (0.58 or 29/50)
Step-by-step explanation:
The fact that 23 students are boys and 27 are girls is irrelevant to the question so we can ignore that.
There are 50 students in all and out of these students 15 boys and 14 girls made an A.
We can first add 15+14 which equals 29. So 29 students out of 50 made in A on the exam.
29/50 equals 0.58 or 58%.
6 painters can paint the fence in 15 hours. How long would it take 5 workers to do the same job?
Answers
Answer:
12.5 hours
Step-by-step explanation:
15/6 is 2.5. 2.5 is how many hours per worker. 5 times 2.5 is 12.5 hours
HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer coefficients
Answers
Answer:
[tex]n=241[/tex]
Step-by-step explanation:
We are given
[tex]5x^2+nx+48[/tex]
Let's assume it can be factored as
[tex]5x^2+nx+48=(5x-s)(x-r)[/tex]
now, we can multiply right side
and then we can compare it
[tex]5x^2+nx+48=5x^2-5rx-sx+rs[/tex]
[tex]5x^2+nx+48=5x^2-(5r+s)x+rs[/tex]
now, we can compare coefficients
[tex]rs=48[/tex]
[tex]5r+s=-n[/tex]
[tex]n=-(5r+s)[/tex]
now, we can find all possible factors of 48
and then we can assume possible prime factors of 48
[tex]48=-+(1\times 48)[/tex]
[tex]48=-+(2\times 24)[/tex]
[tex]48=-+(3\times 16)[/tex]
[tex]48=-+(4\times 12)[/tex]
[tex]48=-+(6\times 8)[/tex]
Since, we have to find the largest value of n
So, we will get consider larger value of r because of 5r
and because n is negative of 5r+s
so, we will both n and r as negative
So, we can assume
r=-48 and s=-1
so, we get
[tex]n=-(5\times -48-1)[/tex]
[tex]n=241[/tex]
Josh has five-eighths of a foot of plywood. To finish building the deck, he needs five times that amount. How many feet of plywood does Josh need?
A. 3 feet
B. 3 one-half feet
C. 3 one-eighth feet
D. 3 two-ninths feet
Answers
Josh needs 3 and one-eighth feet of plywood to finish building his deck. This conclusion is derived from multiplying the amount of plywood he currently has (5/8 feet) by 5.
Explanation:The problem stated tells us that Josh has five-eighths of a foot of plywood and he needs five times that amount to finish building the deck. We can solve this problem by performing a simple multiplication operation. The method to solve it would be: 5/8 (amount of plywood Josh has) * 5 (amount of plywood required) = 25/8 = 3 1/8 feet. Therefore, Josh needs 3 and one-eighth feet of plywood to finish building his deck.
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What does the t represent at the end of the vector?
Answers
The uppercase T means "transpose". A matrix transpose is where you swap the rows and columns. Anything that is row becomes a column, and vice versa. What this means is that instead of a row vector, you end up with a column vector. The dimensions are important so you can properly multiply matrices.
complete the following statement given: QXR=NYC a.QX= ? b. Y=?
Answers
Answer:
Step-by-step explanation:
The given congruent triangles △QXR and △NYC mean that corresponding sides and angles are equal. Hence, line segment QX equals NY and angle Y equals angle X.
The symbols △QXR and △NYC stand for two triangles which are mentioned to be congruent. Congruency in triangles means they have the same size and shape. This implies that the corresponding sides and angles of the two triangles are equal.
a) As per the congruency of the triangles, line segment QX in triangle △QXR would be congruent to corresponding segment in triangle △NYC, which is NY. Hence, line segment QX = NY.
b) Referring to the same principle, angle Y in triangle △NYC should be equal to its corresponding angle in triangle △QXR. Considering the order of the letters in triangles, angle Y would correspond to angle X. Hence, angle Y = angle X.
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a sea bird is 28 meters above the surface of the ocean what is the elevation
Answers
91.8 ft above sea level
5x-6=19 what is the variable
Answers
Answer:
x=5
Step-by-step explanation:
5x-6=19
first you add 6 to both sides now you have 5x=25 then you divide by 5 on both sides then you get x=5
Question
5x-6=19 what is the variable
Answer:
5Step-by-step explanation:
5x - 6 = 19
5x = 19 + 6
5x = 25
x = 25 : 5
x = 5
How to study for Hesi exam
Answers
You’ve studied and you know the material, but have you taken the time to look at the actual exam? Taking the time to look at the exam itself will help you to learn more about the details of the HESI exam and what you can expect when you take the actual exam.
Here’s what you need to know about the HESI test:
2. Read Everything Carefully
The HESI exam can be a tricky test, so it is important that you read carefully the entire question as well as all of the answers. Often times, the test writers will throw in a few tricks to distract you and to keep you from seeing the correct answer. They may throw in an answer or two that could seem correct but is not necessarily the “best” answer.
3. HESI Flashcards
Flashcards come in handy when you need to get right down to the detail of the concepts that you need to study. Not only will using flashcards to study help you get right down to the details, but they also help you remember more information for the long-term. Using flashcards will come in very handy when you’re studying for the vocabulary section of the HESI test.
4. Know That There Is No “Pass” or “Fail”
The HESI exam is scored on a scale ranging from 750 to 900, with 900 being the best score possible. While you don’t actually “pass” or “fail” the HESI exam, every school has their own set score, and which subtests, are required for admittance into the progress
5. Create a Study Schedule
Don’t wait until the last minute to start studying for your HESI exam. Once you have scheduled your test date, sit down and create a study schedule that you can stick with leading up until right before the test. Also, instead of cramming the night before the exam, use this time to get a good night’s sleep so you will be refreshed and ready for the exam the next day.
6. HESI Practice Test
The only way you’re going to really know which areas you’re going to need work in is to take a HESI practice test. Not only will this give you an advantage of knowing which area you need more work in, but you will also get a feel of the real exam. When you’re ready to take a practice test, check out our HESI Practice Test.
7. Find Out Which Tests You Need
Many nursing schools require their applicants to take every section of the HESI exam. However, there are also many schools and programs that do not require every section to be completed. Make sure to check with the nursing school that you wish to attend to see about which sections of the HESI exam you will need to take. This way you can properly prepare for them.
8. Take The Individual Tests in Order from Easy to Difficult
You’re not required to take the individual tests in a specific order, you can choose which section you want to take first. In this case, take the sections of the exam that are easier for you and leave the more difficult sections for a later date. Not only will this give you more time to study for the more difficult section of the HESI exam, but you’ll be able to get some of the easier sections out of the way.
10. Check Your Answers
The HESI test as a whole is timed. However, the individual sections are not. This means that you can spend as much time as you need to on an individual section. Since you’re not timed during individual exams, you can go back and check your answers to make sure you didn’t make any mistakes. This will be very important when it comes to the Mathematics section.
Im wishing you all the best
In ΔABC, m∠A = 40°, m∠B = 60°. Find m∠C. (Hint: Draw the auxiliary line BD parallel to the line segment AC and take a look at the same side and the alternate interior angles)
Answers
Answer:
The measure of angle C is 80 degree.
Step-by-step explanation:
Given information: In ΔABC, ∠A = 40° and ∠B = 60°.
Draw the auxiliary line BD parallel to the line segment AC.
If a transversal line intersects the pair of parallel line, then the alternate interior angles are same.
The angle 1 and 2 are alternate interior angles of angle A and B respectively. Therefore angle 1 is equal to angle A and angle 2 is equal to angle C.
Angle 1,2 and B are supplementary angles because they lie on a straight line, therefore their sum is 180 degree.
[tex]\angle 1+\angle B+\angle 3=180^{\circ}[/tex]
[tex]\angle A+\angle B+\angle =180^{\circ}[/tex]
[tex]40^{\circ}+60^{\circ}+\angle C=180^{\circ}[/tex]
[tex]\angle C=180^{\circ}-100^{\circ}[/tex]
[tex]\angle C=80^{\circ}[/tex]
The angle sum property is another way to solve this problem.
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.
Therefore the measure of angle C is 80 degree.
Jay is letting her bread dough rise. After three hours, her bread dough is 11/5 of its original size.
What percent of its original size is Jay's bread dough?
Answers
Answer:
original size of Jay's bread dough is raised to 220%
Step-by-step explanation:
Let 1 be the original size of the bread
her bread dough is 11/5 of its original size.
[tex]1* \frac{11}{5} = 2.2[/tex]
The original size of the bread is raised to 2.2
To get percentage we multiply by 100
2.2*100 = 220%
original size of Jay's bread dough is raised to 220%
a boat can travel 176 kilometers on 88 liters of gasoline. How much gasoline will it need to go 250 kilometers
Answers
Answer:
176 km/88 liters = 2 km/liter
(250 km)(1 liter/2 km) = 125 liters
What is the solution to the inequality −3x < 7.5?
Answers
Answer:
The solution of the inequality is [tex](-2.5,\infty)[/tex].
Step-by-step explanation:
The given inequality is
[tex]-3x<7.5[/tex]
If an inequality divided by a negative number,then the sign of inequality change. Divide both sides by -3.
[tex]\frac{-3x}{-3} >\frac{7.5}{-3}[/tex]
[tex]x >-2.5[/tex]
Therefore the solution of the given inequality is all real numbers greater than -2.5.
In interval notation it can be defined as
[tex](-2.5,\infty)[/tex]
Answer:
x > −2.5
Step-by-step explanation:
i got the correct answer
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule A(n)=-3+(n-1)(-2.2)
Answers
[tex]A(n)=-3+(n-1)(-2.2)=-3+(n)(-2.2)+(-1)(-2.2)\\\\A(n)=-3-2.2n+2.2=-0.8-2.2n\\\\\text{Substitute n = 1, n = 4, n = 10}:\\\\A(1)=-0.8-2.2(1)=-0.8-2.2=-3\\\\A(4)=-0.8-2.2(4)=-0.8-2.2(4)=-0.8-8.8=-9.6\\\\A(10)=-0.8-2.2(10)=-0.8-22=-22.8[/tex]
Determine the maximum value of the objective function, P.
P= 15x+12y
6x+4y≤2000
2x+4y≤1000
x≥0
y≥0
Answers
Answer:
Maximum (250,125) Answer
Step-by-step explanation:
This is more of a graphing problem than it is anything else.
Begin by graphing all 4 given equations.
When you do that, mark the intersection points of at least 2 lines. In this case it is exactly 2 lines for each intersecting point.
6x + 4y <= 2000 and 2x + 4y <= 1000 intersect at (250,125)
x=>0 and y=>0 intersect at (0,0)
6x + 4y <=2000 and x => 0 intersect at 333.333
2x + 4y <=1000 and y>=0 intersect at 0,250.
Any other intersection points fall outside the range of the givens. The shaded part we are interested in is sort of a very dark green/blue. It is the interior of the quadrilateral determined by the 4 vertices that are marked.
Now all you have to do is determine the maximum point using P=15x + 12y
For 0,0 P = 15*0 + 12,0 = 0
For 0,250 P = 15*0 + 12*250 = 3000
For 333.3333,0 P = 15*333.3333 + 12*0 = 5000 rounded.
For 250,125 P = 15*250 + 12*125 = 5250 Which is the maximum
Answer (250,125) produces the maximum value Answer
To determine the maximum value of the objective function P in a linear programming problem, one must graph the constraints to find the feasible region and then use the corner-point method to evaluate P at each vertex of this region.
Explanation:The problem presented is a linear programming problem where we need to find the maximum value of the objective function P, given by P = 15x + 12y, subject to certain constraints involving x and y which must both be non-negative. To solve this problem, we will graph the constraints to find the feasible region and then use the corner-point method to evaluate the objective function at each vertex of this region to determine which gives the maximum value.
Step-by-Step Solution:Graph the constraints:6x + 4y ≤ 20002x + 4y ≤ 1000x ≥ 0y ≥ 0Identify the feasible region. It is the area where all the inequalities overlap and where x and y are both non-negative.Find the vertices of the feasible region. This can be done by solving the constraints as equations.Calculate the value of the objective function P at each vertex.Determine the maximum value of P from the evaluated vertices.PLEASE HELP!
If food costs $520.00 and your total budget is $2,100.00, what percent of your budget is spent on food?
<3 Please explain how to do it. :)
Answers
Answer:
24.7619048 %
Step-by-step explanation:
The percent spent on food
food/total
520/2100
.247619048
This is in decimal form
Multiply by 100 to change it to percent
24.7619048 %
All of my points to anyone who can help me with these..! Marking Brainliest as well
Answers
Answer:
Question one 186
Question two 240
Step-by-step explanation: You multiply the variable (the letter) by the number that the person is using
Answer:
1. 186
2. 240
Step-by-step explanation:
1. D =3w+60
D =3(42)+60
D =186
2. I =48t
I =48(5)
I =240
If f(x)=x2-2x and g(x) = 6x+4, for which values of x does (f+g)(x)=0
Answers
[tex]f(x)=x^2-2x;\ g(x)=6x+4\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=0\Rightarrow(x^2-2x)+(6x+4)=0\\\\x^2+(-2x+6x)+4=0\\\\x^2-4x+4=0\\\\x^2-2x-2x+4=0\\\\x(x-2)-2(x-2)+0\\\\(x-2)(x-2)=0\iff x-2=0\\\\\boxed{x=2}[/tex]
If the odds against an event are 2:7 ,then the pobability that the event will fail to occur is__?
Answers
Answer:
The probability will be 2/7.
Hope this helps :D
The probability that the event will fail to occur is 7:9 .
How to calculate the probability that event will fail to occur having given odds against -Given that the odds against an event is 2:7 or 2/7.
The meaning of odds against an event is the ratio of the number of times the respective event does not happen compared to the number of times the event occur .
So for the given problem, it refers that for every 2 occurrences that the event does not occur there will be 7 occurrences that it will happen.
Thus the total number of occurrences of the event is (2 + 7) = 9
This means that the event will occur definitely 2 times in every 9 times total outcome.
The probability that the event will occur is 2/9 or 2:9 .
Therefore the probability that the event will fail to occur is 1 - 2/9 = 7/9 or 7:9 .
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6x-14=2-10x what is the x
Answers
[tex]6x-14=2-10x\qquad\text{add 14 to both sides}\\\\6x=16-10x\qquad\text{add 10x to both sides}\\\\16x=16\qquad\text{divide both sides by 16}\\\\\boxed{x=1}[/tex]
[tex]Check:\\\\6x-14=6(1)-14=6-14=-8\\\\2-10x=2-10(1)=2-10=-8\\\\CORRECT[/tex]
Answer:
x=1
Step-by-step explanation:
6x-14=2-10x
First step is to add 10x to each side
6x+10x-14=2-10x+10x
16x-14=2
Now add 14 to each side
16x-14+14=2+14
16x=16
Divide each side by 16 to isolate x
16x/16 =16/16
x =1
How do you do this
Help please
Thanks
Answers
It's a linear function. We need only two points to the plotting of the graph.
[tex]5x-y=5\qquad\text{subtract 5x from both sides}\\\\-y=-5x+5\qquad\text{change the signs}\\\\y=5x-5\\\\for\ x=0\to y=5(0)-5=0-5=-5\to(0,\ -5)\\\\for\ x=1\to y=5(1)-5=5-5=0\to(1,\ 0)[/tex]
A car rental agency advertised renting a car for $ 23.95$23.95 per day and $ 0.34$0.34 per mile. If TrevorTrevor rents this car for 22 days, how many whole miles can he drive on a $ 100$100 budget?
Answers
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
$23.95 x 2 = $47.90
$100 - $47.90 = $52.10
$52.10 ÷ .34 = 153.23 miles can be driven
If you need to round the number will be 153 miles
what is the approximate value of y - x
Answers
Answer:
17.2°
Step-by-step explanation:
using the tangent ration in the right triangle
tan y° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19.1}{14.1}[/tex], hence
y = [tex]tan^{-1}[/tex]([tex]\frac{19.1}{14.1}[/tex]) ≈ 53.6°
tan x° = [tex]\frac{14.1}{19.1}[/tex], hence
x = [tex]tan^{-1}[/tex]([tex]\frac{14.1}{19.1}[/tex]) ≈ 36.4°
y - x = 53.6° - 36.4° = 17.2°
Answer:
D) y -x = Approximate 17.1 degree.
Step-by-step explanation:
Given : Triangle .
To find : Approximate value of y - x.
Solution : We have given a right angle triangle with
Opposite side = 19.1 in.
Adjacent side = 14 .1 in.
Tan( y ) = [tex]\frac{Opposite}{adjacent}[/tex].
Plug the values
Tan( y ) = [tex]\frac{19.1}{14.1}[/tex].
tan(y) = 1.354.
Taking tan inverse both sides.
y = [tex]tan^{-1}(1.354)[/tex].
y = 53.55 degree.
Now, by the sum of angle of triangles is 180 degree.
Angle c + angle y + angle x = 180.
Plug the variable
90 + 53.55 + x = 180.
83.55 + x = 180
On subtracting both sides by 83.55
x = 36.45 degree
Then ,
y - x = 53 .55 - 36 . 45
y - x = 17.2
Approximate 17.1 degree
Therefore, D) y -x = Approximate 17.1 degree.
The letter X shown above has which type of symmetry?
1. Line Symmetry only
2. Point Symmetry only
3. Point and Line Symmetry
4. No Symmetry
Answers
The letter X shown ''Point and Line Symmetry''.
What is Line segment?
Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The letter is X.
Now,
We know that;
A point symmetry is defined as a type of symmetry in which a geometrical figure is divided into two equal and symmetrical parts by a central point.
Thus, Letter X has Point symmetry.
And, The line symmetry is defined as a type of symmetry that divides a geometrical figure into two equal and symmetrical parts.
Thus, Letter X has Line symmetry.
Therefore, The letter X shown ''Point and Line Symmetry''.
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Given: ∆ABC is isosceles m∠ACB = 120° M ∈ AB , CM = 12 m∠BMC = 60° Find: AB
Answers
Look at the picture.
This is isosceles triangle. Therefore, the angles at the base are congruent.
m∠ BAC = m∠ABC.
We know, the sum of the measures of the angles in a triangle is equal 180°.
Therefore:
m∠BAC + m∠ABC + m∠ACB = 180°
2m∠ABC + 120° = 180° subtract 120° from both sides
2m∠ABC = 60° divide both sides by 2
m∠ABC = 30°
m∠MCB = 90° → ΔMCB is a right triangle (30 - 60 - 90).
The sides of that triangle are in proportion: 1 : √3 : 2.
Therefore MC : BC : MB = 1 : √3 : 2
MC = 12 → BC = 12√3 and MB = 2 · 12 = 24
ΔCDB is the right triangle (30 - 60 - 90) too.
Therefore CD : BD : BC = 1 : √3 : 2
CD = 1/2 BC → CD = 1/2(12√3) = 6√3
BD = CD√3 → BD = 6√3(√3) = 6(3) = 18
AB = 2BD therefore your answer is:
AB = 2(18) = 36AB length is 24 cm
Further Explanation The first step, find the length of BM
Given length CM = 12 cm
and length CB = 12 sqrt 3
sin 60 ° = CB / BM
1/2 sqrt 3 = 12 sqrt 3 / BM
BM = 1/2 sqrt 3 * 12 sqrt 3
BM = 18 cm
Then find the length of the MA
sin 30 ° = CM / MA
1/2 = 12 / MA
MA = 1/2 * 12
MA = 6 cm
So, the length of AB is BM + MA = 18 cm + 6 cm = 24 cm
A triangle is the name of a shape made from three sides in the form of a straight line and three angles. The mathematician Euclid who lived around 300 BC found that the sum of the three angles on a triangle on a flat plane was 180° degrees. This allows us to calculate the magnitude of one angle when the other two angles are known.
Classification of triangles
According to the length of the sides:
The equilateral triangle is a triangle whose sides are the same length. As a result, all angles are equal, which is 60 °. Isosceles triangle is a triangle whose two sides are the same length. This triangle has two equal angles. An arbitrary triangle is a triangle whose sides have different lengths. Big all the angles are also different.According to the biggest angle:
A right triangle is a triangle whose angle is equal to 90°. The side in front of the 90° angle is called the hypotenuse or the hypotenuse. An acute triangle is a large triangle, all angles <90° An obtuse triangle is a large triangle with an angle of> 90°
Learn More
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Details
Class: Middle/High School and College
Subject: Mathematics
Keyword: degrees, angles, triangle
A swimming pool has 2.5 million liters of water in it. Some water evaporated and then the pool only has 2 millions liters in it. What percent of the water evaporated?
Answers
Answer:
20% was evaporated
Step-by-step explanation:
Formula:
((New value-old value)/(old value))*100
((2-2.5)/(2.5))*100 = 20
Answer:
20% of the water evaporated
Step-by-step explanation:
We know that 500,000 evaporated because 2,500,000-2,000,000 is 500,000.
100% - 2,500,000
500,000 - x%
2,500,000/500,000 = 100/x
x=(500,000)(100)/2,500,000
x= 20%
20% of the water evaporated.
12-packs Of Skwunch apple juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of the 12-pack? PLEASE HELP!!!!!!
Answers
Mulitply 2.5 by 3
2.5 * 3 = 7.5
The original price is $7.50
Answer:
3.00 = original price * (1-.4)
or
3 = original price*.6
Step-by-step explanation:
We know the cost after the discount.
Price after discount = original price - original price * discount rate
Factoring out the original price
Price after discount = original price (1- discount rate)
We know the price after discount = 3.00 and the discount rate =.40
Substituting these values in
3.00 = original price * (1-.4)
3 = original price*.6
Divide each side by .6
3/.6 = original price
5.00 = original price
Please help with the figure below
Answers
Answer:
<1 =33
<2 = 147
<4 = 147
Step-by-step explanation:
Angle 1 equals angle 3 because they are vertical angles. Vertical angles are opposite angles made by two intersecting lines.
<1 = <3
<1 = 33
Angle 2 and <3 are supplementary angles because they form a straight line. The add to 180 degrees
<2 + <3 = 180
<2 + 33 = 180
Subtract 33 from each side
<2 +33-33 = 180-33
<2 = 147
Angle 2 equals angle 4 because they are vertical angles
<2 = <4
<4 = 147
Your closet has 5 shirts for every 2 sweaters. Your closet has 30 shirts.How many sweaters are in your closet
Answers
Answer:
12
Step-by-step explanation:
So the ratio is 5:2, so we can set up a proportion! So there are 12 sweaters.