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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Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two numbers have a sum of 9$?
Answer:
Nifal received $ 4 for washing the first car.
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
Step-by-step explanation:
The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:
[tex]x + y = 9[/tex]
[tex]y = x+1[/tex]
Then, by eliminating y:
[tex]x + (x+1) = 9[/tex]
[tex]2\cdot x + 1 = 9[/tex]
Now, let is clear [tex]x[/tex]:
[tex]2\cdot x = 8[/tex]
[tex]x = 4[/tex]
Nifal received $ 4 for washing the first car.
The earning for the second car is: ([tex]x = 4[/tex])
[tex]y = x +1[/tex]
[tex]y = 4 + 1[/tex]
[tex]y = 5[/tex]
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
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:
I am thinking of two numbers, the sum of the two numbers is 11, their product is 24. What Are My Numbers?
Blank 1:
Blank 2:
Answer:
Hey there!
x+y=11
xy=24
The numbers are 8 and 3.
8 times 3 = 24
8+3=11
Hope this helps :)
Answer: 3 and 8
Step-by-step explanation:
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!
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
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.
5x + 3y = -6
3x - 2y = 4
Answer:
(3x-2y)=-4(5x-3y)=-2
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
9.7 x 10^3 in scientific notation
The answer to the question is 9,700.
The function is for –9 < x < –7. The function is increasing for . The point lies on the graph of the function.
Answer: the function is constant , the function is increasing for -7< x < -3 , the point (-5,8) lies on the graph of the function.
Edgunity
Answer:
The function is
✔ constant
for –9 < x < –7.
The function is increasing for
✔ –7 < x < –3
.
The point
✔ (–5, 8)
lies on the graph of the function.
Step-by-step explanation:
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
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
17n +5.4 - 3 = 64 solve.
HELP
Answer:
Hey there!
17n+5.4-3=64
17n+2.4=64
17m=61.6
m=3.623529...
Did you make a typo on the question?
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
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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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 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
what is b in the equation b-8+2b=20
Answer:
b = 28/3 or 9.3
Step-by-step explanation:
b-8+2b=20
3b-8=20
3b=20+8
3b=28
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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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 :)
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:
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.
of 5
Back
Next →
Question 5
Review progress
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
what is the solution of the follow inequality-3x+3> or equal to 9
Answer:
x ≤ - 2
Step-by-step explanation:
Given
- 3x + 3 ≥ 9 ( subtract 3 from both sides )
- 3x ≥ 6
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x ≤ - 2
Answer:
x<or equal to -2
Step-by-step explanation:
-3x>or equal to 9-3
-3x>or equal to 6(dividing both of them by -3)
x<or equal to -2
*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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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)
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
a tram moved downward 15 meters in 5 seconds at a constant rate. what was the change in the team's elevation each second?
Answer: 3 meters downward per second
Step-by-step explanation:
If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.
15/5 = 3
3 meters per second
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]
4/5 of the students in
both classes like
frosted flakes. While
1/10 prefer fruit loops.
How many more
students prefer frosted
flakes?
Answer:
4/5 - 1/10 = 8/10 - 1/10 = 7/10
Step-by-step explanation:
Answer:
The reason why "reposition its product" is the correct answer because Kellogg's is trying to reposition their product in order to make sales. Frosted Flakes was a big time thing for kids, due to the fact that advertisements involved children since Kellogg's target audience were children. Frosted Flakes were pretty much meant for children. Since the product was meant for children, Kellogg's left the people that actually buy the cereal--adults--out of the scene.
Kellogg's releasing advertisements of adults saying how much they loved Frosted Flakes allows viewers to have a thought of going to the store and getting some Frosted Flakes. With the advertisement, they're also trying to target adults because there are a lot of adults in this world, and if they can get adults to buy their product, then their sales will go big. Their goal for the advertisement is to get more sales for the Frosted Flakes product, and they're doing this by having a target audience of adults.
Step-by-step explanation: