Answers
Answer:
5
Step-by-step explanation:
LM + MN = LN
4+5x = 9x
Subtract 5x from each side
4+5x-5x = 9x-5x
4 = 4x
Divide by 4
4/4 = 4x/4
1 =x
We want MN
5x =5*1 = 5
MN =5
Answer:
the length of MN is 5(1), or 5
Step-by-step explanation:
Segments add up to 9x here: 4 + 5x = 9x, so 4 = 4x and x must therefore be 1.
Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.
Related Questions
Calculate the original price of these items before the
percentage changes shown. Show all of your working.
a) A coat that costs £46.50
after a 7% price reduction
b) A jumper that costs £32.80 after a price increase of
6%
Answers
Answer:
50 and 30.94
Step-by-step explanation:
aThe coat cost 46.5 pounds after a 7 percent reduction
so we can write:
46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percentusing the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
bThe jumper costs 32.8 pounds after an increase of 6 percent
so:
32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percentusing proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
a. £50
b. £30.94
Step-by-step explanation:
100-7=93
x×93/100=46.50
x×93=46.50×100=4650
x=4650/93=50 £
b.
100+6=106
y×106/100=32.80
y×100=32.80×100=3280
y=3280/106≈30.94£
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answers
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
describe the rule of continuing this sequence 44, 41, 38, 35, 32
Answers
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3nHelp ASAP I need this one answered please please please
Answers
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
Multiply 1 and 3/4 × 4/5.One and three-fourths written as an improper fraction is .
The product written as an improper fraction in lowest terms is .
The answer written as a mixed number is .
Answers
Answer:
Multiplication:
1 x (3/4 x4/5)
= 3/5
Answer:
7/5 (improper fraction), or 1 2/5 (mixed number)
Step-by-step explanation:
One and three-fourths written as an improper fraction is 7/4.
Now we multiply 4/5 by 7/4. The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)
Algebra 1 help please
Answers
3x-9≤12
3x≤21
x≤7
-5x+10≤20
-5x≤10
x≥-2
Answer:
X = 4
Step-by-step explanation:
First, You need to rewrite the expression to look like this
9 - 3x = 12
An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this
3x = 12
Then divide both sides by 3 to get
x = 4
What is EF? Please help me on this question.
Answers
Answer:
EF = 8
Step-by-step explanation:
FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is
[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values
[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )
54x = 24(x + 10) ← distribute
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Thus EF = x = 8
Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min
Answers
Answer:
The correct option is A:
A) Time of flight = 7 hours 5 minutes
Step-by-step explanation:
If
For eastern time zone, t = 12:00 pm
Then, pacific time zone , t = 9:00 am
Which means the pacific time lags 3 hours to eastern time
Time of departure = 9:15 am (eastern time)
TIme of arrival = 1:20 pm (pacific time)
Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.
Converting both in pacific time zone.
Time of arrival = 1:20 pm (pacific time)
Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)
Time of departure = 6:15am (pacific time)
Time of flight = Time of arrival - Time of departure
Time of flight = 1:20pm - 6:15am
Time of flight = 7 hours 5 minutes
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there? WILL MARK BRAINLIEST NEEED ASAP
Answers
Answer:
4*5*5*2=200 numbers
Step-by-step explanation:
this is because 2,4,6,8 can be the first digit.
2,4,6,8,0 can be the second same for the third.
2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.
Answer:
100 numbers
Step-by-step explanation:
Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared
Answers
Answer:
The correct option is:
14 inches
Step-by-step explanation:
The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.
We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.
The area of trapezoid is given as:
Area = ((Top width + Bottom width)/2) · h
Area = ((9+5)/2) · 2
Area = (14/2) · 2
Area = 7 · 2
Area = 14 inch²
Answer:
14
Step-by-step explanation:
SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?
Answers
Answer:
x = 8
Step-by-step explanation:
Let us take the breadth as 'x'
breadth = x
length = 3 + x
perimeter = 38m
perimeter of a rectangle = 2 ( l + b )
= 2( x + x + 3 ) = 38
4x + 6 = 38
4x = 38-6
x = 32/4
x = 8
breadth = 8
length = 11
Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answers
Answer:
D. 9
Step-by-step explanation:
We are told in the question that: The number of tennis balls represented by P(n), in n layers of the square pyramid is given as
P(n) = P(n - 1) + n²
Let's take the first layer
n = 1
P(1) = P(1 - 1) + 1²
P(1) = 1 tennis ball.
It is important to note that the first layers we have one tennis ball.
Let's take the second layer
n = 2
P(2) = P(2 - 1) + 2²
P(2) = P(1) + 2²
Note that: P(1) above = 1
P(2) = 1 + 2²
P(2) = 5 tennis balls
It is important to note that the second layer we have five tennis balls
Let's take the third layer
n = 3
P(3) = P(3 - 1) + 3²
P(3) = P(3 - 1) + 3²
P(3) = P(2) + 3²
Note that: P(2) above = 5
P(3) = 5 + 3²
P(3) = 14 tennis balls
It is important to note that the second layer we have fourteen tennis balls
Let's take the fourth layer
n = 4
P(4) = P(4 - 1) + 4²
P(3) = P(4 - 1) + 4²
P(3) = P(3) + 4²
Note that: P(3) above = 14
P(3) = 14 + 4²
P(3) = 30 tennis balls
It is important to note that the fourth layer we have thirty tennis balls
Hence, the number of tennis balls from the first four layers will be: 1, 5, 14, 30,
So, the number of tennis balls that Coach Kunal could not have is 9.
A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!
Answers
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.Given that the triangles shown below are similar, what is the value of X?
Answers
Answer:
24
Step-by-step explanation:
Each side from triangle AHM to triangle DPL is divided by 2
32/2 = 16
40/2 = 20
Therefore, 48 / 2 = 24
Answer:
x = 24 (Answer B)
Step-by-step explanation:
Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.
Thus the length of x is half of the corresponding side in the larger triangle, that is: x = half of 48, or x = 24 (Answer B)
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answers
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
he price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution
Answers
Answer: I think it’s $1.80
Step-by-step explanation:
Sorry if I’m wrong
Answer:
Firstly, divide the tax rate by 100: 6/100 = 0.06 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.
Now, find the tax value by multiplying tax rate by the before tax price:
tax = 39.99 × 0.06
tax = 2.4 (tax value rouded to 2 decimals)
Add tax to the before tax price to get the final price:
The final price including tax = 39.99 + 2.4 = 42.39
Step-by-step explanation:
Find the area under the standard normal curve to the left of z = 1.5
Answers
Answer:
0.9332
Step-by-step explanation:
Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
-----------------------------------------
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which also represents the area under the normal curve to the left of Z.Looking at the standard normal table:
z = 1.5 has a p-value of 0.9332.Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
A similar problem is given at https://brainly.com/question/6316394
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation
Answers
Answer:
Find a common denominator on the right side of the equation
Step-by-step explanation:
I was taking the test and couldn't find the answer to this question anywhere so let me help you out...
abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.
(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)
Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;
ax²+bx+c = 0
Step 1: Subtract c from both sides
ax²+bx+c-c = 0-c
ax²+bx = -c
Step 2: Divide both sides of the equation by a
ax²/a + bx/a = -c/a
x² + bx/a = -c/a
Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
Step 4: Square the quantity b/2a on the right side of the equation
x² + bx/a + (b/2a)² = -c/a + b²/4a²
Step 5: Find a common denominator on the right side of the equation which is 4a²
x² + bx/a + (b/2a)² = -4ac/4a² + b²/4a²
Step 6: Add the fractions together on the right side of the equation
x² + bx/a + (b/2a)² = (-4ac+ b²)/4a²
Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.
Step 7: The equation on the left is to be written as a perfect square as shown
(x+b/2a)² = (-4ac+ b²)/4a²
Step 8: Take the square root of both sides
√(x+b/2a)² = √ (-4ac+ b²)/4a²
(x+b/2a) = √(-4ac+ b²)/2a
Step 9: subtract b/2a from both sides
x+b/2a - b/2a = -b/2a + √(-4ac+ b²)/2a
x = -b/2a + √(-4ac+ b²)/2a
Step 10: Add the fractions together on the right-hand side
x = -b±√(-4ac+ b²)/2a
This gives the required equation
Answer: A Find a common denominator on the right side of the equation
Step-by-step explanation: Took the test of FLVS
solve the equation [tex]\frac{x}{3} -\frac{3-2x}{6}=\frac{5}{2} x[/tex]
Answers
Answer:
x = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x
Multiply through by 6 to clear the fractions
2x - (3 - 2x) = 15x ← distribute and simplify left side
2x - 3 + 2x = 15x
4x - 3 = 15x ( subtract 4x from both sides )
- 3 = 11x ( divide both sides by 11 )
- [tex]\frac{3}{11}[/tex] = x
Answer: x=-3/11
Step-by-step explanation:
Question 19 (4 points)
Saved
2(x + 1) + 2(x - 2) = 3(x-3) + 4
Answers
Answer:
x=-3solution,
[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]
Hope this helps...
good luck on your assignment.
Answer:
x = - 3
Step-by-step explanation:
2(x + 1) + 2(x - 2) = 3(x-3) + 4
2x + 2 + 2x - 4 = 3x - 9 + 4
2x + 2x - 3x = - 9 + 4 - 2 + 4
4x - 3x = - 3
x = - 3
I think it's 65° is it correct??
Answers
Answer:
129
Step-by-step explanation:
DCF = DCE + ECF
= 75+ 54
= 129
Answer:
m∠DCF = 129°
Step-by-step explanation:
∠DCF is ∠DCE + ∠ECF
You are adding the 2 smaller angles together to get the larger angle.
Plzz help, I will mark brainliest m Answer needed fast.
Answers
Answer:
A=bh=21·13=273
Step-by-step explanation:
using this formula A=bh
place base in b, and the height or hypotenuse in A
Answer: A~267.96
Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76
In the diagram, DG I EF
What additional information would prove that DEFG is an
isosceles trapezoid?
y
5
D-22) G 1.2)
O DE GF
O DE DG
O EF DG
O EF = GF
E(-4,-3)
F(3-3)
5
Answers
Answer:
a) DE ≅ GF
Step-by-step explanation:
In the picture attached, the diagram is shown.
An isosceles trapezoid is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. In this case, the left and right side lengths are DE and GF, respectively; then they are congruent.
6. At a bus interchange, a number of passengers boarded a bus. At the first
bus stop, of the passengers alighted the bus and 6 people boarded the
bus. At the 2nd bus stop, of the passengers alighted and 10 passengers
boarded the bus. There were 24 passengers on the bus when it left the
2nd bus stop. How many passengers boarded the bus at the interchange?
Answers
Answer:
The answer is given below
Step-by-step explanation:
Let the number of passengers that boarded the bus at the interchange be x.
At the first bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the bus.
Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]
At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers boarded the bus.
Therefore The number of passengers when the bus left the second bus stop
[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]
Given that there were 24 passengers on the bus when it left the 2nd bus stop
[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]
Therefore 32 passengers boarded the bus at the interchange
What is the circumference of the circle shown below? (Round your answer to
the nearest tenth.)
A. 93.0
B. 121.2
C. 46.5
D. 76.8
Answers
Answer:
C. 46.5
Step-by-step explanation:
The formula for circumfrence is:
C= 2*pi*r
You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.
What is the area of the parallelogram
Answers
Answer:
A = 300 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 20 *15
A = 300 cm^2
Drag steps in the given order to evaluate this expression. −3(−3+2)−6
Answers
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]-3(-3 + 2) - 6[/tex]
Required
Drag the steps
Note that not all steps in the given diagram will be used;
Step 1: Perform Multiplication; 9 + -6 - 6
Step 2: Simplify: -3
Further Explanation:
Step 1 is gotten by opening the bracket;
[tex]-3(-3 + 2) - 6[/tex]
[tex]9 +-6 - 6[/tex]
Step 2 is gotten by solving step 1 further
[tex]9 +-6 - 6[/tex]
[tex]9 - 6 - 6[/tex]
[tex]9 - 12[/tex]
[tex]-3[/tex]
X/5-2=11 what is the solution
Answers
Answer:
x=65
Step-by-step explanation:
x/5 - 2 = 11
x/5= 11+2
x/5=13
x=13×5
x=65
Answer:
X = 55 is the answer.Step-by-step explanation:
Question = x/5 - 2 = 11
1. Isolate the variable
x/5 - 2 = 11
+ 2 + 2
x/5 = 11
2. Remove the fraction
x/5 = 11
*5 *5
3. Simplify
x = 55
The answer is x = 55.
Hope this helped,
Kavitha
geometry! please help
Answers
Answer: 5.2
Step-by-step explanation:
This is known as the heart beat method. Search it up for a better explinations.
Basically you putting 3/x = x/9 and simplifying to get sqrt27.
Search this up and watch the video for a better explination
heartbeat method geometry
HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ASAP WITH EXPLANATION PLEASE
Answers
a) 382 mm
b) 505 mm
c) 3162 mm
d) 3103 mm
e) 5008400 mm
f) 9046850 mm
basically, there are 10mm in a cm, so you times by ten,
1000mm in a m so multiply by 1000
1000000mm in a km