Answer:
41
Step-by-step explanation:
when there is midpoint it bisects the segment(cuts it in equal halfs)
3x+5 = 5x-19
3x + 24 = 5x
24 = 2x
12 = x
3(12) + 5 =
36 + 5
41
Answer:
The value of segment DF is 41 units.
Step-by-step explanation:
If we know that F is the midpoint of DE, we can conclude that DF and FE have the same value. This lets us set up the following equation:
DF = FE, which when we substitute in our given values is:
3x + 5 = 5x - 19
The next step is to solve this equation. We should start by subtracting 3x from both sides of the equation.
5 = 2x - 19
Then, we can add 19 to both sides of the equation.
24 = 2x
Finally, we can divide both sides by 2.
x = 12
Now that we have a value for x, we need to find the length of DF. To do this, we can just plug in our value for x into the given expression for DF and simplify.
DF = 3x + 5 = 3(12) + 5 = 36 + 5 = 41
Therefore, the correct answer is 41.
Hope this helps!
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
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?
A hiker travels at 4 miles per hour at a heading of S 35° E from a ranger station. After 3
hours how far south and how far east is the hiker from the station?
Answer:
First, let's define our coordinates.
Let's call East as the positive x-axis and North as the positive y-axis.
Now the data that we have is:
Speed = 4 mph
Time = 3 hours.
Then the total distance traveled is:
D = 4mph*3h = 12 miles.
We also know that the angle is S 35° E.
(from east, 35° to south)
So we can write this angle as -35°.
Then if we want to know the component in South and East, we can first think this in polar coordinates
(R, θ)
where R = 12 miles, and θ = -35°
Now with this, we have that:
X = R*cos(θ) = the displacement to the east.
Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).
Then we have:
X = 12mi*cos(-35°) = 9.83mi
Y = 12mi*sin(-35°) = - 6.89 mi.
Then:
The displacement to the East is X = 9.83 miles
The displacement to the South is -Y = 6.89 miles.
The magnitude of southern displacement of the hiker is 6.88 miles.
The magnitude of eastern displacement of the hiker is 9.83 miles.
The given parameters;
Velocity of the hiker, v = 4 mphPosition of the hiker, θ = S 35⁰ ETime of motion, t = 3 hoursThe resultant displacement of the hiker is calculated as follows;
D = vt
D = 4 mph x 3 h
D = 12 miles
The magnitude of southern displacement of the hiker is calculated as follows;
[tex]D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles[/tex]
The magnitude of eastern displacement of the hiker is calculated as follows;
[tex]D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles[/tex]
Learn more about resultant displacement here: https://brainly.com/question/13309193
Oliver had to wash thirty-nine short sleeve shirts and forty-seven long sleeve shirts before school. If he had only washed twenty of them by the time school started, how many did he not wash?
Answer:
66
Step-by-step explanation:
At a butcher shop, Hilda bought 6 9/20 lb of beef and some pork. She left with 17 17/25 lb of meat. Express the number of pounds of pork she bought using a decimal.
Answer:
56.15
Step-by-step explanation:
First, convert [tex]6\frac{9}{20}[/tex] lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now [tex]\frac{129}{20}[/tex].
Now make [tex]17\frac{17}{25}[/tex] lbs an improper fraction. It would be [tex]\frac{442}{25}[/tex].
Now subtract the amount of pork from the total amount of meat. [tex]\frac{442}{25}[/tex] - [tex]\frac{129}{20}[/tex] . Find a common denominator. I'm going to use 500, although there might be something less.
[tex]\frac{5615}{100}[/tex] is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15
Really hope this helped, I tried explaining well! Ask more questions if you need!
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)
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:
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
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
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.
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.
Learn more about Line here:
https://brainly.com/question/21511618
#SPJ2
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:
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!
*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%.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
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
Re-write this subtraction as an ADDITION of signed numbers. 7 - 11 = ___
Answer:
-4 + 11 = 7
Step-by-step explanation:
Answer: An expression that would be equal to this one using addition would be 7 + (-11). There is also the option of -7 + 11. When you add a negative, it is the equivalent to subtracting, because you are adding a negative value to a positive value.
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:
5x + 3y = -6
3x - 2y = 4
Answer:
(3x-2y)=-4(5x-3y)=-2
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:
a line segment has one endpoint at the origin (0,0) and one endpoint at (0,6). how long is this segment?
5(x+9)-2(1-x)=1 equals 1
Answer:
x= -6
Step-by-step explanation:
5x+45-2+2x=1
7x+43=1
7x= -42
x= -6
Answer:
x=-6
Step-by-step explanation:
[tex]5(x+9)-2(1-x)=1\\5x+45-2+2x=1\\5x+43+2x=1\\7x=1-43\\\frac{7x}{7}=\frac{-42}{7}\\ x=-6[/tex]
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
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 the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles.
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x + 4
-5 -5
4x = 3x -1
-3x = -3x
1x = -1
x = -1
Answer:
x=-1
Step-by-step explanation:
4x+5=3x+4
subtract 3x from both sides of the equation
4x+5=3x+4
-3x -3x
x+5=4
subtract 5 from both sides of the equation
x+5=4
-5 -5
x=-1
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the child care cost is accurate?
Answer:
They are both the same.
Step-by-step explanation:
If you are doing for an hour for Gym B you would do .75 cents for ever 5 minutes of that hour.
60 minutes in an hour so
60/5=12
12*0.75=9.00
So both Gyms are the same.
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:
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 :)
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
do anybody know 15×18+12÷3+9
Answer:
283
First, multiply 15 and 18. You get 270. Then divide 12 and 3. You get 4. Add 270, 4, and 9 together to get 283
Choose the equation that has the
value of the variable furthest from
0 on a number line.
A) -4w= -7
B) 2x=3
C) y-1=-8
D) -1=z+4
Answer:
C) y -1 = -8
Step-by-step explanation:
The solutions to the various equations are ...
w = -7/-4 = 1.75 . . . . . divide by -4
x = 3/2 = 1.50 . . . . . . .divide by 2
y = -7 . . . . . . . . . . . . . .add 1
z = 5 . . . . . . . . . . . . . . add 1
The value farthest from 0 is y = -7, corresponding to choice C.