Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Hey did you find the answer to it yet ? Because I’m having a hard time as well
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
Learn more on linear equation here: https://brainly.com/question/2030026
#SPJ1
Ravi says,” if 10 years are added to my age, then my age becomes 25.”if Ravi’s present age is x years,
then find the linear equation satisfying the given condition.
Answer:
The linear equation satisfying the given condition is,
\(x=t+15\)
where x is Ravi's age and t is the number of years
(after 10 years (t=10) his age becomes 25)
Step-by-step explanation:
Let x be Ravi's age
Now, his current age is unknown, but if you add 10 to it, then it becomes 25, so
x + 10 =25
so, his current age is x = 25 =10
x = 15
Now, we find the linear equation satisfying the given condition,
Let t be the number of years that have passed since the present time
so, if 0 years have passed, his age will be 15 years
after 1 year, his age will be 16 years
after 10 years, his age will be 25 years and so on
so
\(x = t + 15\)
this satisfies the given condition, since if we add ten years i.e t = 10,
then we get 25
The equation is:
⇨ x + 10 = 25Work/explanation:
Here's the linear equation for Ravi's age.
Ravi's age is x.
If you add 10 to x you get x + 10.
That gives 25.
So the linear equation is x + 10 = 25.
Find the unit price of each of the following items Round your answer to the nearest tenth
frozen orange juice
16.0% at $2.01
12 oz at $1.69
Answer:
12.56 cents
14.08 cent
Step-by-step explanation:
The unit price for each of the following items could be obtained thus :
The unit price = price of one item
Therefore, given that x numbers of a certain item cost y ;
The unit price will be : y / x
frozen orange juice
16.0 oz at $2.01
12 oz at $1.69
If 16 oz cost $2.01
1 oz = $2.01 / 16 = $0.125625 * 100 = 12.56 cents
If 12 oz = $1.69
1 oz = $1.69 / 12 = $0.1408333 * 100 = 14.08 cent
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
Maya has 846 beads. She is making bracelets with 18 beads on each. How many bracelets is she able to make?
Answer:
maya is able to make 47 bracelets
Step-by-step explanation:
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
Victoria is paid a salary of $550 a week at her job. She worked 5 hr of overtime during the holidays, and her weekly paycheck came to $690. What is her overtime pay per hour?
Answer:
$28 per hour
Step-by-step explanation:
Let's first find out how much extra Victoria was paid during the week she worked overtime.
Without overtime, Victoria's weekly paycheck would be $550. However, she received $690 that week. The difference between the two amounts is the extra pay for overtime:
Extra pay = Total pay - Regular pay = $690 - $550 = $140
Now, we know that Victoria worked 5 hours of overtime. To find her overtime pay per hour, we can divide the total overtime pay by the number of overtime hours:
Overtime pay per hour = Total overtime pay / Overtime hours = $140 / 5 = $28
Victoria's overtime pay is $28 per hour.
Hope this helps!
Answer:
Victoria is paid $28 per hour of overtime.
Step-by-step explanation:
Get the difference of Victoria's paycheck with and without overtime.
Difference = $690 - $550
Difference = $140
The difference is the amount that she was paid for the overtime.
Since she worked for 5 hours then we can just divide the amount over the time.
Rate = $140/5hours
Rate = $28/hr
Vertical and adjacent angles! Need help with 7,8,9 please!
Place the steps for finding f(x) in the correct order.
H
11
K
f(1) = 41 + 7
0·0-0-0-0
For finding the inverse of a function you have to write it as an ecuation.
\(y = 4x + 7\)
Invert the values of x and y.
\(x = 4y + 7\)
Our objetive now in this new equation is to clear y. First, subtract 7 in both sides of the equation.
\(x - 7 = 4y\)
Then, divide both sides by 4.
\( \frac{x - 7}{4} = y\)
Finally, invert the values of x and y again and put the equation like a function.
\( {f}^{ - 1} (x) = \frac{x - 7}{4} \)
This is correct because f(x) = x is the axis of symmetry for both functions (green one).
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
Learn more about area here:
https://brainly.com/question/2607596
#SPJ8
guys help plzz i need your help
Answer:
it correct because i took this before
Susan buys embroidery beads in packages that each hold several hundred beads. On May 1st, she counts her beads by color. She plans to repeat the count one month later, and again one month after that. The table shows the results of her first count. Find the angle measure of the sector of a circle graph that represents each color of bead.
The angle measure of the sector of a circle graph that represents each color of bead is obtained with the following procedure:
Obtain the proportion for each color.Multiply the proportion by 360º.How to obtain the angle measure?In total, a circle graph has an angle measure of 360º, and each possible color is attributed a region of this circle graph.
The region is measured in degrees, and is dependent on the proportion assumed by each color.
The proportion assumed by each color is obtained dividing the number of beads with the color by the total number of beads.
For example, if 20 beads out of 100 are blue, the proportion is given as follows:
20/100 = 0.2.
Then the angle measure is obtained multiplying the proportion by 360º, as 360º represents the entirety of the circle graph.
Hence, for the blue beads, the hypothetical angle measure is given as follows:
0.2 x 360º = 72º.
Missing InformationThe problem is incomplete, hence the answer was given in general terms.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
10=2x+12
What’s the steps
Answer: i got 10
Step-by-step explanation:
what ud o is 2x+12 let me see
PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
Kiera had 0.69 grams of pepper. Then she used 0.1 grams of the pepper to make some scrambled eggs. How much pepper does Kiera have left?
Answer:
0.68
Step-by-step explanation:
0.69-0.1=0.68
Answer:
0.59 g
Step-by-step explanation:
0.69 g - 0.1 g = 0.59 g
Remember that 0.1 is the same as 0.10
69 hundredths minus 10 hundredths equals 59 hundredths
P.S.
If she had used 0.01 g, then she'd have 0.58 g left, but this is not our question.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
4536.459792... ft^2 or 1444pi ft^2
Step-by-step explanation:
Surface area of a sphere
A = 4 x pi x r^2
Since we have the diameter we can divide that by two to get the radius
38/2 = 19
Then we plug the digits we have into the equation
A = 4 x pi x 19^2
A = 4536.459792... or 1444pi
Find the unknown number in the equation 4 x 12 = 6 x n.
Answer:
n = 8
Step-by-step explanation:
hope this helps
According to a poll, 80% of Americans report being afflicted by stress. Suppose a random sample of 1,200 Americans is selected. Complete parts (a) through (d) below.
a. What percentage of the sample would we expect to report being afflicted by stress?
The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%
How to calculate the percentage afflicted by stress?The percentage of a data set is when part of the data is represented per 100 with a symbol of %.
It was stated in the question that 80% of Americans report being afflicted by stress.
Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.
Learn more about percentage here:
https://brainly.com/question/24339661
#SPJ1
Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
3. Write an equation for the value of the phone, p, t years after it is released.
Answer:
p=(800)(3/5)^t
Step-by-step explanation:
Answer: 800 - (3/5xt)
Step-by-step explanation:
800 is the base value and you have to multiply 3/5 by t
Melinda is playing a game with a number cube. Each face of the cube has a number from 1 to 6. If she tosses a number greater than 4she wins the round. Which statement correctly describes her chances of winning?
A)Melinda will certainly win the round.
B)Melinda will most likely win the round.
C)Melinda has an equal chance of winning or not winning the round.
D)Melinda will most likely not win the round.
Answer:
Step-by-step explanation:
She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.
Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.
That would be a fair game.
Answer:
the correct t answer is d
The distance from Detroit, MI to Paris, France is approximately 3930 mi. Flying from Detroit to Paris takes 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream.
a. The speed of the plane in still air, rounded to the nearest whole number, is
b. The speed of the jet stream, rounded to the nearest whole number, is
Answer:
a. 482
b. 9.0
Step-by-step explanation:
The speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
How does air stream affects speed of flight?Flight speed in air stream = Flight speed in still air + effect of air stream
If the flight is going opposit, then:
Flight speed in air stream = Flight speed in still air - speed of air streamIf the flight is going along with flight, then:
Flight speed in air stream = Flight speed in still air + speed of air streamFor this case, we're specified that:
Distance from Detroid to Paris is approx 3930 milesTime it takes by flight along the air stream = 8 hoursTime it takes by flight against the air stream = 8.3 hoursSpeed of flight along the stream is:
\(S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8} = 491.25 \: \rm mph\)
Speed of flight against the stream is:
\(S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8.3} \approx 473.49 \: \rm mph\)
Let the speed of air stream be y, and that of the flight in still air be x miles per hour, then we get:
Along air stream:
\(x + y =491.25\\\) (in miles per hour)
and Against the stream:
\(x - y =473.49\\\) (in miles per hour)
Adding both the equations side by side, we get:
\(2x + y - y = 491.25 + 473.49\\\\x = \dfrac{964.74}{2} =482.37 \: \rm mph\)
Using this value, we get the value of y as:
\(x + y =491.25\\y = 491.25 - x = 491.25 - 482.37 = 8.88 \: \rm mph\)
Rounding to the nearest whole numbers, we get:
x = 482 mph, and y = 9 mph
Thus, the speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
Learn more about motion in stream here:
https://brainly.com/question/14297576
x + 121 = 4x - 20 what is x
Answer:
x = 47
Step-by-step explanation:
x + 121 = 4x - 20
-3x + 121 = - 20
-3x = -141
x = 47
So, the answer is x = 47
which expression has the greatest quotient?
A.-20 divided by -5
B.8 divided by -4
C.-6 divided by -3
D.12 divided by -3
please help you will get brainiest
-20 ÷ -5 has the greatest quotient.
Option A expression has the greatest quotient.
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
A.-20 divided by -5
= -20 ÷ -5
= 4
B.8 divided by -4
= 8 ÷ -4
= -2
C.-6 divided by -3
= -6 ÷ -3
= 2
D.12 divided by -3
= 12 ÷ -3
= -4
4 > 2 > -2 > -4
Hence, -20 ÷ -5 has the greatest quotient.
Option A expression has the greatest quotient.
Find out more information about expression here
brainly.com/question/19131200
#SPJ2
Simplify 8 to the -5th power over 8 to the -3rd power
Answer:
the first one
Step-by-step explanation:
i had that question
whats the GCF of x^6 and x^4
Scores on a recent national statistics exam were normally distributed with a mean of 82.2 and a standard deviation of 5.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
Answer:
The lowest score eligible for an award is 92.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 82.2, \sigma = 5\)
If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
The lowest score is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975. So X when Z = 1.96. Then
\(Z = \frac{X - \mu}{\sigma}\)
\(1.96 = \frac{X - 82.2}{5}\)
\(X - 82.2 = 5*1.96\)
\(X = 92\)
The lowest score eligible for an award is 92.
Sin(0)= cos(6) what is the value of 0?
We need to find Ο for : sin(Ο)= cos(6)
We know that:
cos θ =sin (90 - θ), so if we call θ = 6 then O will be:
O = 90 - θ
O = 90 - 6
O = 84The value of 0 is 84.
Given that,
Sin(0)= cos(6).
Based on the above information, the calculation is as follows:
cos θ =sin (90 - θ),
So in the case when θ = 6
So, O will be
O = 90 - θ
O = 90 - 6
O = 84
Learn more: brainly.com/question/17429689
Help with this question please!
What is 3/5 × 5 1/3 how do you do this problem
Answer:
3.2
Step-by-step explanation:
3.2 is correct