Answer:
20
Step-by-step explanation:
→ First find the value of x and y
x + y = 5
x - y = 4
→ Add the equations to cancel out the y's
2x = 9
→ Divide both sides by 2 to find the value of x
x = 4.5
→ Substitute x = 4.5 back into x - y = 4 to find the value of y
4.5 - y = 4
→ Minus 4.5 from both sides to isolate -y
-y = -0.5
→ Multiply everything by -1
y = 0.5
→ Substitute x = 4.5 and y = 0.5 into x² - y²
4.5² - 0.5² = 20.25 - 0.25 = 20
Which statement best describes Janelle's conclusion? Her conclusion is incorrect because 2x + 10 is not equal to 3x – 5. Her conclusion is incorrect because the angles are not marked; therefore, no conclusion can be drawn. Her conclusion is correct because the value of x is 15. Her conclusion is correct because mAngleLKM + mAngleLKJ = mAngleMKJ.
Answer:
c
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 228, find the numbers.
Hey there! I'm happy to help!
Let's call these numbers x and y and model the information we have.
x=1/5y
y-x=228 (we see that x is smaller than y in the first equation, so we put it second )
We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.
y-1/5y=228
4/5y=228
We divide both sides by 4/5.
y=285
We know that x is 1/5 of y, so we divide by 5.
285/5=57
x=57
So, our numbers are 57 and 285.
Have a wonderful day! :D
The 2 positive numbers are 285 and 57 and they have a difference of 228.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the bigger positive number and y the smaller number. Hence:
y = (1/5)x y - (1/5)x = 0 (1)Also:
x - y = 228 (2)Solving equation 1 and 2 simultaneously gives:
x = 285, y = 57
The 2 positive numbers are 285 and 57 and they have a difference of 228.
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 48 N acts on a certain object, the acceleration of the object is 6 m\s2 If the acceleration of the object becomes 10 m/s2, what is the force
Answer:
80N
Step-by-step explanation:
F = ma (Newton's second law)
When F=48N, a = 6m/s2
--> m = F/a = 48/6 = 8 (kg)
When a = 10m/s2
--> F = ma = 8 . 10 = 80N
1-1 Relations and Functions
An electrician charges $35 to make a trip to a job site. She charges an additional $50 per hour for two hours or less. If the job takes over two
hours, she charges $45 per hour and doesn't charge for the trip.
A mapping diagram for her rates from 1 to 4 hours, including half hours, is shown.
Domain
Range
1
85
1.5
2
2.5
- 110
135
112.5
157.5
3
3.5
4
+180
Is the relation between hours and dollars charged a function? Explain.
A. No: for any given number of hours, there is only one possible cost
B. No, for 135 there are two possible numbers of hours.
оо
C. Yes, for any given number of hours, there is only one possible cost.
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Question 5
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Answer:
C, Yes; for any given number of hours,there is only one possible cost.
Step-by-step explanation:
Simple Function question, if there’s an X with the same number, it’s not a function. It wasn’t D since it’s justifying the range being the same number
Need to find <1 and <2
Answer:
<1 and <2 value is 120°
hope it will help you
What is the value of x in 4(x + 7) = 80
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4(x+7)=80[/tex]
First, divide everything by 4:
[tex](4(x+7))4=(80)/4[/tex]
Simplify:
[tex]x+7=20[/tex]
Subtract 7 from both sides:
[tex]x=13[/tex]
So our answer is 13 :)
Please help ASAP
Sara kicked a football. The height of the ball (in meters above the ground) ttt seconds after Sara kicked it is modeled by h(t)=-5t^2+20th(t)=−5t 2 +20th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t Sara wants to know the height of the ball above the ground at its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. 2) At its highest point, how far above the ground was the ball?
Answer:
20 m
Step-by-step explanation:
2) t = -b/2a (FROM QUAD. FORMULA)
t = -20/2(-5)
t = 4/2 = 2/1 = 2
t = 2, insert
h(2) = -5(2)² + 20(2)
h(2) = -20 + 40
h(2) = 20 m
VERTEX: (2,20)
Answer:
20m
Step-by-step explanation:
If BG = 19+ 2w and GC = 5w + 4, then find the value of w.
Answer:
Step-by-step explanation:
5w + 4 = 2w + 19
3w + 4 = 19
3w = 15
w = 5
What is the value of the expression below when z=6 ?
Answer:
51
Step-by-step explanation:
[tex]z^{2}[/tex] + 3z - 3
36 + 18 - 3
51
PLEASE HELP explain how you can prove two circles are similiar.
Answer:
if the radius and diameter of two circles is same/equal then those two circles are similar
Step-by-step explanation:
Answer:
if the radius and diameter of two circles is same/equal then those two circles are similar
Step-by-step explanation:
If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 without using a protractor
Answer:
The diagram for the question is missing, but I found an appropriate diagram fo the question:
Proof:
since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle
∠BCO = 45°
∠BOC = 45°
∠PCO = 45°
∠POC = 45°
∠DOP = 22.5°
∠PDO = 67.5°
∠ADO = 22.5°
∠AOD = 67.5°
Step-by-step explanation:
Given:
AB = CD = 297 mm
AD = BC = 210 mm
BCPO is a square
∴ BC = OP = CP = OB = 210mm
Solving for OC
OCB is a right anlgled triangle
using Pythagoras theorem
(Hypotenuse)² = Sum of square of the other two sides
(OC)² = (OB)² + (BC)²
(OC)² = 210² + 210²
(OC)² = 44100 + 44100
OC = √(88200
OC = 296.98 = 297
OC = 297mm
An isosceless tringle is a triangle that has two equal sides
Therefore for △OCD
CD = OC = 297mm; Hence, △OCD is an isosceless triangle.
The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles
Since BC = OB = 210mm
∠BCO = ∠BOC
since sum of angles in a triangle = 180°
∠BCO + ∠BOC + 90 = 180
(∠BCO + ∠BOC) = 180 - 90
(∠BCO + ∠BOC) = 90°
since ∠BCO = ∠BOC
∴ ∠BCO = ∠BOC = 90/2 = 45
∴ ∠BCO = 45°
∠BOC = 45°
∠PCO = 45°
∠POC = 45°
For ΔOPD
[tex]Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}[/tex]
Note that DP = 297 - 210 = 87mm
∠PDO + ∠DOP + 90 = 180
∠PDO + 22.5 + 90 = 180
∠PDO = 180 - 90 - 22.5
∠PDO = 67.5°
∠ADO = 22.5° (alternate to ∠DOP)
∠AOD = 67.5° (Alternate to ∠PDO)
What is the value of x? leave your answer in simplest radical form.
Answer:
2 sqrt(5) =x
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
2^2 +4^2 = x^2
4+16 = x^2
20 = x^2
Take the square root of each side
sqrt(20) = sqrt(x^2)
sqrt(4*5) = x
sqrt(4) sqrt(5) =x
2 sqrt(5) =x
Solve the system: 4x - y = 5 x + 2y = 8
Answer:
x = 2y = 3Step-by-step explanation:
4x - y = 5..........… Equation 1
x + 2y = 8 ............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 8 - 2y
We have
4( 8 - 2y ) - y = 5
32 - 8y - y = 5
- 9y = - 27
Divide both sides by - 9
We have the final answer as
y = 3Substitute y = 3 into x = 8 - 2y
That's
x = 8 - 2(3)
= 8 - 6
x = 2Hope this helps you
Step-by-step explanation:
4x-y=5-----×1.
x+2y=8----×4.
which will be....
4x-y=5
- 4x+8y=32.
____________
-9y=-27
----- ----
-9. -9.
y=3.
then substitute into any equation...
equation one.
4x-3=5.
4x=5+3.
4x=8.
x=8/4.
x=2.
therefore y=3 and x=2.
Is {(-4, 5), (1,-1), (2,-2)} represent a function
Answer:
it is a function
Step-by-step explanation:
Answer:
Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.
The relation is a function.
Hope this helps (●'◡'●)
*PLEASE ANSWER , DIFFICULT QUESTION PLEASE* A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. What is the probability of a passenger choosing chips and a soda? a.)25% b.) 33% c.) 50%
The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.
What is probability?In mathematics, probability is considered as the chances a specific situation or event occurs.
For example, you can calculate the probability that it rains tomorrow based on general weather patterns.
For example,
if you throw a die, then the probability of getting 1 is 1/6.
Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.
How to calculate the probability of two events happenning?
Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5Now, let's multiply these probabilities:Now,
Given that:
0.5 x 0.5
= 0.25
= 25% (0.25 x 100)
Hence, the probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.
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9.7 x 10^3 in scientific notation
The answer to the question is 9,700.
WILL MARK BRAINIEST. PLEASE HELP!!! question is below
Answer: -28/6
Step-by-step explanation:
6 ( n + 5 ) = 2
first, distribute "6(n+5)".
6n + 30 = 2
subtract 30 from both sides.
6n = -28
n = -28/6
which expressions are equivalent to 2(a+3b)
Answer:
The answer to which expression is equivalent to 2(a+3b) is 2a+6b
Answer:Do you have a picture of the answers
Step-by-step explanation:
Find an expression which represents the sum of (7x-6y) and (3x – 5y) in
simplest terms.
The sum of the expressions (7x – 6y) and (3x – 5y) will be 10x – 11y.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expressions are given below.
(7x – 6y) and (3x – 5y)
Then the sum of the expressions will be
⇒ (7x – 6y) + (3x – 5y)
⇒ 7x – 6y + 3x – 5y
⇒ 10x – 11y
More about the simplification link is given below.
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if a car travels 400m in 20 seconds how fast is it going
Answer:
44.73 mph
Step-by-step explanation:
Answer:
20 meters per second
Step-by-step explanation:
400m/20s = 20 m/s
5x + 3y = -6
3x - 2y = 4
Answer:
(3x-2y)=-4(5x-3y)=-2
I NEED THIS ANSWER TODAY PLEASE!!!! A hotel manager found that his gross receipts for the day, including a 3% sales tax, were $2766.58. Find the amount of sales tax collected.
==================================================
Work Shown:
x = amount of money collected before tax is added
3% = 3/100 = 0.03
3% of x = 0.03x = amount of tax
x + 0.03x = adding on tax to original amount
1.03x = amount after tax is added
1.03x = 2766.58
x = 2766.58/1.03
x = 2686 is the amount of money before the 3% sales tax is added
0.03x = 0.03*2686 = 80.58 is the amount of sales tax collected
As a check,
2686+80.58 = 2766.58
which confirms our answer
Answer:
Tax collected= $80.58
Step-by-step explanation:
Let's say that the amount he got from services was "x", and to that he had to add a 3% of sales tax.
Recall that 3% in math form is written as: 3/100 = 0.03
then, he had to include 0.03 times x to the "x" amount in hotel services:
x + 0.03 x = 2766.58
1.03 x = 27688.58
x = 27688.58/1.03
x= $2686
Then, the amount for the taxes is 3% of this which is:
0.03 * 2686 = $80.58
what is answer to this −k+3k
Answer:
2k
Step-by-step explanation:
[tex] - k + 3k[/tex]
Add or subtract the numbers
[tex]2k[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ 2k}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - k + 3k}[/tex]
Collect like terms
⇒2k
Hope I helped!
Best regards! :D
T is between points P and B.
PB=35 and TB=12.
What is PT?
A. 17
B. 12
C. 57
D. 23
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment PT is 23 units. The correct option is D.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that point T will lie between points P and B. Therefore, Point T is on the line segment PB. Therefore, it can be said Thus, we can write,
PB = PT + TB
As given the length of PB is 35 units, the length of TB is 12 units,
35 units = PT + 12 units
35 units - 12 units = PT
PT = 23 units
Hence, the length of the line segment PT is 23 units.
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A United States senator from Maine wants to find out the opinion of Maine voters on issues concerning education. The office of the senator sends out a survey to state residents who have contacted the senator in the past year. Is this sampling method random? Explain
It may seem random, but it's heavily biased toward those who participate in politics. It leaves out people who have not contacted the senator. A better method would be to look at voter registration data, and send out surveys to random people on the list.
Which irrational number is represented by point D?
Answer:
182
Step-by-step explanation:
182= 13.49
162= 12.73
204= 14.28
221=14.87
The irrational number represented by point D is 182. The correct option is A.
What is an irrational number?Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The value on the number line 13.49 is equal to the square root of 182.
√182= 13.49
√162= 12.73
√204= 14.28
√221=14.87
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PLEASE HELP!! MEEEEE 1
Answer:
(1,2) (3,2) ( 5,2)
Step-by-step explanation:
Each input value can only go to one output value
The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)
The hypotenuse of a
right triangle is 10 cm.
One of the side lengths is 8 cm.
What is the length of the other side?
Answer:
6 cm
Step-by-step explanation:
use Pythagorean theorem a² + b² = c²
let c = 10 cm , b = 8 cm
plug in values
a² + 8² = 10²
a² = 10² - 8²
a = [tex]\sqrt{10^2 - 8^2}[/tex]
a = 6 cm
Answer:
6 cm
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the missing side.
The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.
Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].
Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.
[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]
So the missing side is 6 cm long.
Hope this helped!
1.3.15
is Question Help
The monthly water bill is a function of the number of gallons used. The cost is $15.50 for 15,000 gal or less. Over 15,000 gal, the cost is $15.50 plus $1 for each
1000 gal over 15,000 with any fraction of 1000 gal charged at a fraction of $1. On what interval is the cost constant? On what interval is the cost increasing?
Answer:
The interval over which the cost is constant is from >0 to 15,000 gallons
The interval for which the the cost is increasing is from above 15,000 gallons
Step-by-step explanation:
For 15,000 gal or less the cost of the monthly water bill = $15.50
For over 15,000 gal, the cost of the monthly water bill = $15.50 plus $1 for each 1000 gal over 15,000 with any fraction of $1,000 charged at a fraction of $1
The interval for which the cost is constant is from 0 ≤ x ≤ 15,000 gal
The interval over which the const is increasing per 1000 gal over 15,000 gallons is from x > 15,000 gal.
Answer:
The interval in which the cost is constant is
[0,15000]
Step-by-step explanation:
The interval is increasing by [1500,∞]
1. Find x if B is the midpoint of AC
AB = 14 and BC = 2x + 3.
Answer:
x = 5.5 units
Step-by-step explanation:
Since, B is the midpoint of AC.
[tex] \therefore \: AB = BC \\ 14 = 2x + 3 \\ 14 - 3 = 2x \\ 11 = 2x \\ x = \frac{11}{2} \\ x = 5.5 \: units \\ [/tex]