Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .what will be it's selling price
Answer:
Rs 8500
Step-by-step explanation:
For a cost price of c, the marked price is ...
marked = c +25%·c = 1.25c
After the 15% discount, the sale price will be ...
s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c
The profit will be the difference between the sale price s and the cost c:
p = s -c
500 = (1.0625c) -c = 0.0625c
Then the cost is ...
500/0.0625 = c = 8000
and the sale price is ...
s = c +p = 8000 +500 = 8500 . . . rupees
The selling price will be Rs 8500.
help I have no clue what I'm doING
Answer:
3.0
4.5
6.0
7.5
Step-by-step explanation:
it rains at the rate of 1.5cm per hour
In two hours, the amount will be; 1.5 × 2
= 3cm
in the three hours, the amount will be 1.5×3
=4.5cm
in four hours, the amount will be; 1.5×4
=6cm
in five hours, the amount will be; 1.5×5
=7.5cm
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
been trying for an hour, need help
Answer:
[tex]\sqrt{\frac{5}{2} }[/tex]
Step-by-step explanation:
We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).
The sides are a, b (which equals a) and, c (which equals a*square root of 2).
In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex]. Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]
round 78300 nearest hundred
Answer:
78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300
Step-by-step explanation:
Hope this helps :)
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
Using the t-distribution, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]
The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
[tex]H_0: \mu \geq 60[/tex]
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
[tex]H_1: \mu < 60[/tex]
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]
[tex]t = -1.47[/tex]
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
A similar problem is given at brainly.com/question/24826023
Question 8 Tasha noticed that bags are not selling quite well. She reduced the original price of $300 by 20%. After, three months the bags were still not selling.She reduced the price again by 40%. A, What was the total percent of decrease? Show your work.
Answer:
84% decrease
Step-by-step explanation:
100 - 80 = 20%
80% = 4/5
300 * 4/5 = 240
100 - 40 = 60%
60% = 3/5
240 * 3/5 = 48
48/300 = 4/25 = 16%
100 - 16 = 84%
Really easy question!!! will mark BRAINLIEST
True or false. The weight of the moon is six times that of earth? Create an equation.
Step-by-step explanation:
False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.
PLEASE HELP ME RN PLEASE
Answer:
1.
[tex] \frac{n^{2} - 1 }{2} [/tex]
2.
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
Area of triangle=1/2×b×h
=
[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]
[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]
[tex] \frac{ {n}^{2} - 1 }{2} [/tex]
2. Area of triangle=14
[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]
[tex] {n}^{2} - 1 = 28[/tex]
[tex] {n}^{2} = 29[/tex]
[tex]n = \sqrt{29} [/tex]
please rate well and mark BRAINLIEST.
thanks
Ok ok ok ok ok ok ok
Answer:
ok ok ok ok ok
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.
Answer:
45°, 63°, 72°
Step-by-step explanation:
The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:
45° : 63° : 72°
For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=
Answer:
y=48
Step-by-step explanation:
180-135=55-7=y=48
8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex][tex] \sf64 + 9(4 \times 2) - 7[/tex][tex] \sf64 + 9(8) - 7[/tex][tex] \sf64 + 72 - 7[/tex][tex] \sf136 - 7[/tex][tex] \sf129[/tex]
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
There is a rack of 7 billiards balls, numbered from 1 to 7. If one ball is selected at random, determine the odds against it being an odd-numbered ball.
The odds are 0:0
(Type whole numbers. Simplify your answer.)
Answer:
Step-by-step explanation:
seven options 1, 2, 3, 4, 5, 6, 7
three successes for it being even. 2, 4, 6
odds are 3:7 of against randomly drawing an odd numbered ball.
Help me with this plzzzzzzzzz
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
Your family has a total of 60 t-shirts and you decide to give some away. If 4 of the t-shirts are being worn right now, and there are 25 t-shirts left in the family's closets, how many t-shirts did your family give away?
31
If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts
How do you find the slope of a line given any 2 points on the line
Answer:
rise over run
Step-by-step explanation:
you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.
Answer:
Step-by-step explanation:
From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.
11
For your job, you often fly between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) mus!
you make between Seattle and Miami in order to earn a free flight?
b. 5
c. 8
d. 9
e. 10
Answer 5
Answer:
b
Step-by-step explanation:
one trip = 2724 miles
one round trip = 2 trips = 2724 * 2 = 5448 miles
We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.
25000/5448 ≈ 4.6
If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6
Does anyone know the answer please help!!
Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.
Answer:
112cm^3
Step-by-step explanation:
Formula for volume of a cone is:
[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
r = radius and h = height
To find the radius you divide the diameter by 2:
12.9 ÷ 2 = 6.45
Now substitute values into the formula:
[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]
Which equals 112cm^3
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
Helppp it’s due today
Answer:
128
Step-by-step explanation:
Part 1 of 2
O Points
What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 44-ft diameter and 18-ft height?
The lateral surface area of the cylindrical oil storage tank is
(Round to one decimal place as needed.)
The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]
The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]
If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then
The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula
[tex]L=2\pi rh[/tex]
The Total Surface Area of the cylindrical oil storage tank has the formula
[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]
The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.
Calculate the Lateral Surface Area
[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]
Calculate the Total Surface Area
[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]
Learn more about the surface area of cylinders here https://brainly.com/question/1037971
The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle
The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
[tex]Rentals = 35[/tex] -- the cost of renting a cooler
[tex]Rate = 0.5[/tex] --- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:
[tex]C(x) = Rentals + Rate \times x[/tex]
So, we have:
[tex]C(x) = 35 + 0.5\times x[/tex]
Evaluate the products
[tex]C(x) = 35 + 0.5x[/tex]
Hence, the equation is [tex]C(x) = 35 + 0.5x[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
For the point P(-25,10) and Q,(-18,15) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Step-by-step explanation:
I really hope that that will be helpful to you
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14
Answer:
24
Step-by-step explanation:
13,14,18,21,22,26,32,39,39,42
middle is 22 and 26
therefore you add and divide by 2
then you'll get 24
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
The answer is C, 4 to the 21st over 5 to the 6th power.
please solve this quick
9 times 11 = 0.818181...
Explain?