Point S is on line segment RT. Given RT=4x, ST = 5x-10, and RS = 6 determine the numerical length of ST.
Answers
Answer:
ST=10
Step-by-step explanation:
Related Questions
Elsa purchased a prepaid phone card for $20 . Long distance calls cost 12 cents a minute using this card. Elsa used her card only once to make a long distance call. If the remaining credit on her card is $14.84 , how many minutes did her call last?
Answers
Answer:
4 minutes and 30 seconds
y varies directly with x Part 2
22. If y = 5 when x = -3, find x when y = -1
23. If y = -7 when x = -3, find y when x = 9
24. If y = 25 when x = 15, find y when x = 6
Answers
Problem 22
Answer: x = 3/5---------------------------------------
Explanation:
y = kx is the general form for direct variation. K is some constant.
Plug in (x,y) = (-3,5) to find k
y = kx
5 = k*(-3)
-5/3 = k
k = -5/3
-------------
The equation is y = (-5/3)x. Now plug in y = -1 to find x
y = (-5/3)x
-1 = (-5/3)x
(-5/3)x = -1
x = -1*(-3/5)
x = 3/5
==========================================================
Problem 23
Answer: y = 21---------------------------------------
Explanation:
Same idea as above. First we need to find k.
y = kx
-7 = k(-3) .... plug in x = -3 and y = -7
-3k = -7
k = 7/3
The equation is y = (7/3)x
-------------
We can use this to find y when x = 9
y = (7/3)x
y = (7/3)*9 .... plug in x = 9
y = 21
==========================================================
Problem 24
Answer: y = 10---------------------------------------
Explanation:
First find k
y = kx
25 = k*15
25/15 = k
5/3 = k
k = 5/3
The equation is y = (5/3)x
------------
Now find y when x = 6
y = (5/3)x
y = (5/3)*6
y = 10
Answer:
22. 3/5
23. 21
24. 10
Step-by-step explanation:
In each case, multiply the old value of the variable of interest by the new/old ratio of the given variable values.
__
22. x = (-1/5)(-3) = 3/5
23. y = (9/-3)(-7) = 21
24. y = (6/15)(25) = 10
_____
The proportions can be written as either of ...
newX/newY = oldX/oldY ⇒ newX = (newY/oldY)(oldX)
or, the same thing with x and y interchanged:
newY/newX = oldY/oldX ⇒ newY = (newX/oldX)(oldY)
What is the value of y?
Answers
Answer:
A
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is always 180 degrees. We are given that two of the interior angles of the triangle are y and the exterior angle that is connected to the missing interior angle is 130 degrees. We can see from the image that the given exterior angle and the missing interior angle are supplementary, or they add up to 180. Knowing this, we can find the missing interior angle:
130 + a = 180
a = 50
So we now know that the missing interior angle is 50 degrees. Since the sum of the interior angles for a triangle is 180 degrees, we can make the equation:
50 + y + y = 180
and solve for y.
50 + y + y = 108
50 + 2y = 180
2y = 130
y = 65
So now we know that y = 65.
I hope you find my answer and explanation to be helpful. Happy studying. :)
solve. check for extraneous solutions
3 l4w-1l -5 = 1
Answers
Answer:
w = 3/4 or w = -1/4
Step-by-step explanation:
3l4w - 1l - 5 = 1
Add 5 to both sides.
3|4w - 1| = 6
Divide both sides by 3.
|4w - 1| = 2
Set the inside of the absolute value equal to 2 and -2.
4w - 1 = 2 or 4w - 1 = -2
Add 1 to both sides.
4w = 3 or 4w = -1
Divide both sides by 4.
w = 3/4 or w = -1/4
Check w = 3/4:
3l4w - 1l - 5 = 1
3|4(3/4) - 1| - 5 = 1
3|3 - 1| - 5 = 1
3|2| - 5 = 1
6 - 5 = 1
1 = 1
w = 3/4 works.
Check w = -1/4:
3l4w - 1l - 5 = 1
3|4(-1/4) - 1| - 5 = 1
3|-1 - 1| - 5 = 1
3|-2| - 5 = 1
3(2) - 5 = 1
6 - 5 = 1
1 = 1
w = -1/4 works.
There are no extraneous solutions.
Answer: w = 3/4 or w = -1/4
Jim and Mary saw a commercial on TV for a cruise line. The longer trip costs ???. The shorter trip costs only $1,629. How much less will Mary and Jim spend if they take the shorter ocean trip? If the answer is $529, find the number that will correctly replace ?
Answers
Answer:
2158
Step-by-step explanation:
Answer:
Step-by-step explanation:
54
Plzzzz help will give Brainyest. No spamming plz it’s due in 10 mins plz answer if you know I will give you 30 points if you don’t know the answer don’t answer because I can only have one attempt
Answers
Answer:
The 2nd answer point is correct
Step-by-step explanation:
Multiple sites
What numbers are the arrows pointing to
Answers
Answer:
a= 365
b= 700
c=76.5
Step-by-step explanation:
the first one goes by 10, and the arrow is in the middle of 60&70, so it is 365
the second one goes by hundreds, so it is 700
the third one goes by .5, and the third one is 76.5
765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
Answers
Answer:
All the ordered pairs (a,b) are
(0,5), (2,3), (4,1), (6,8), and (8,6).
Step-by-step explanation:
765ab4 to be divisible by 36, it must be divisible by both 9 and 4.
For any number to be divisible by 4, the last two digits of the number must be divisible by 4.
Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.
For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.
Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.
Now, we have b={0,2,4,6, 8}
For b=0,
S=22+a+0=22+a which is a multiple of 9.
So, the possible value of the digit a :
a=5
So, (a,b)=(0,5)
For b=2,
S=22+a+2=24+a which is a multiple of 9.
So, the possible value of the digit a :
a=3
So, (a,b)=(2,3)
For b=4,
S=22+a+4=26+a which is a multiple of 9.
So, the possible value of the digit a :
a=1
So, (a,b)=(4,1)
For b=6,
S=22+a+6=28+a which is a multiple of 9.
So, the possible value of the digit a :
a=8
So, (a,b)=(6,8)
For b=8,
S=22+a+8=30+a which is a multiple of 9.
So, the possible value of the digit a :
a=6
So, (a,b)=(8,6)
Hence, all the ordered pairs (a,b) are
(0,5), (2,3), (4,1), (6,8), and (8,6).
what is 3 divided by 2 fifths
Answers
Answer: 15/2
Please Mark me as Brainliest
3/1 divided by 2/5
flip 3/1 and it would be 1/3 times 2/5= 2/15
P (N) = N^2 - 2N; FIND P (A - 2)
Answers
Answer:
A^2-6A+8 is the answer.......
. At the beginning of the year, Jim weighed 201.64 pounds. By the end of
the year, Jim had lost 25.49 pounds. Which of the following represents
Jim's weight at the end of the year?
Answers
Answer:
176.15 lbs
Step-by-step explanation:
201.64 - 25.49 = 176.15
Plot the points (3,4) (4,4) on the coordinate plane below
Answers
Answer:
7 units is the distance
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =
9
Find f(g(4)).
f(g(4)) =
Find g(f(−1)).
g(f(−1)) =
Answers
Answer: 9
Step-by-step explanation:
The value of functions g(f(4)) is 9, f(g(4))=9 and g(f(−1)) is 64
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x) = x − 7 and g(x) = x²
We have to find g(f(4))
Let us find f(4) = 4-7=-3
g(-3)=9
g(f(4)) = 9
f(g(4))=f(16)
f(g(4))=9
g(f(−1))= g(-8)
g(f(−1))=64
Hence, the value of functions g(f(4)) is 9, f(g(4))=9 and g(f(−1)) is 64
To learn more on Functions click:
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How do you write 6.2 x 105 in standard form ??
Answers
Answer:
651.0
Step-by-step explanation:
1.) The island shown has a population of 12,175 people. Find the population
density in people per square kilometer.
18.5 km
11.1 km
Answers
Answer:
Population density = [tex]148.22\ \text{people per square kilometer}[/tex]
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :
[tex]H^2=B^2+P^2[/tex]
H is Hypotenuse, B is base and P is perpendicular
[tex]B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km[/tex]
Area of triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2[/tex]
[tex]\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}[/tex]
Hence, the population density is [tex]148.22\ \text{people per square kilometer}[/tex].
What transformation can be used to map ABCD to MNOP?
Answers
Answer:
Reflection across the y-axis
What is 2/3 x 6/5 ?
Answers
Answer:
4/5
Step-by-step explanation:
2/1 * 2/5 = 4/5
Question 5(Multiple Choice Worth 4 points) Which number is the largest? 1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103 1.2 × 104 4.5 × 10−3 3.8 × 103 7.5 × 103
Answers
Answer:
1.2 × 10^4Step-by-step explanation:
Which number is the largest?
1.2 × 10^4 4.5 × 10^-33.8 × 10^3 7.5 × 10^3The first one is the largest as it has the greatest power
What is standard form?
Answers
Answer:
Ax+By=C
Step-by-step explanation:
What is one characteristic of the cosine function?
It is an odd function.
It has a period equal to π.
Its graph is symmetric about the y-axis.
Its domain is between –1 and 1 and is inclusive.
Answers
Answer:
C. Its graph is symmetric about the y-axis
Step-by-step explanation:
I just took the pre-test
You can also graph the function and it is the same on both sides of the axis. For other questions like this I suggest: math-way
I was able to eliminate the first two answers using this website.
The characteristic of the cosine function is Its graph is symmetric about the y-axis.
What is Cosine function?cosine function formula in terms of sides of a right-angled triangle is written as:
cos x = Adjacent Side/Hypotenuse = Base/Hypotenuse, where x is the acute angle between the base and the hypotenuse.
Properties of Cosine FunctionProperties of cosine depend upon the quadrant in which the angle lies. The cosine function is a special trigonometric function and has many properties. Some of them are listed below:
The cos x graph repeats itself after 2π, which suggests the function is periodic with a period of 2π.Cos x is an even function because cos(−x) = cos x.The domain of cosine function is all real numbers and the range is [-1,1].The reciprocal of the cosine function is the secant function.As, The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of .
Hence, the graph is symmetric about the y-axis.
Learn more about cosine function here:
https://brainly.com/question/17954123
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what is 3 divided by 320 equal?
Answers
[tex]\tt{Hey~there![/tex]
[tex]\tt{3\div320[/tex]
[tex]\tt{Divide~the~two~numbers:[/tex]
[tex]\tt{3\div320=0.009375[/tex]
[tex]\boxed{\tt{0.009375}}[/tex]
[tex]\tt{Hope~this~helps![/tex]
[tex]\boxed{\tt{-TestedHyperr}}[/tex]
Seth can also get dropped off at Bus Stop #2, which is closer to his school.
Which will get him to school faster? (School is 17 miles away.)
Answers
Answer: bus stop #2, by 6.5 minutes
Step-by-step explanation: Took the quiz on edge2020
Answer:
bus stop 2 by 6.5 mins
Step-by-step explanation:
have a great day :)))
Multiplying binomials please help asap
Answers
Step-by-step explanation:
________________________________
Step 1:
[tex](2x + 3)(2x - 4)[/tex]
Write the equation
step 2:
[tex] = 4 {x}^{2} - 8x + 6x - 12[/tex]
open brackets and multiply (2x+3) with (2x-4)
step 3:
[tex] = 4 {x}^{2} - 2x - 12[/tex]
subtract -8x and +6x
_______________________________________
Personal Math Trainer
Lesson 4.3 - Homework - Homework
« 123456
Bob and Cheryl are taking a road trip that is 181.60 miles. Bost drove
of the total distance.
Alw
How many miles did Bob drive?
He has driven
miles so far.
bob and Cheryl are taking a road trip that is 181.60 miles,Bob drove 3-4 of the total distance how many miles did bob drive
Answers
Answer:
He drove 45.04 miles
Step-by-step explanation:
Givenf(x)=8(1-x), what is the value of f(-6)
Answers
Answer:
you plug -6 and get 8x(1-(-6))=8×7=56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
f(-6) = 8(1 - (-6))
f(-6) = 8(1 + 6)
f(-6) = 8(7)
g(-6) = 56
Best of Luck!
2. A sporting goods store charges an initial charge of $25 to rent a surfboard, then $15 an hour. Joey
rents a surfboard for 6 hours. How much money will he
pay total?
Answers
Answer:
$115
Step-by-step explanation:
15x6=90
90+25=115
What is the median for the following data values 10,11,12,15,19,24,27,29,33,38
A.21.8
B. 21.5
C. 19
D.24
Answers
Answer:
B. 21.5
Step-by-step explanation:
Median is the center value in a list of numbers arranged in ascending order.
In this case, values given in the list are in increasing order ;
10 , 11, 12, 15, 19, 24, 27, 29, 33 ,38 --------identify the middle value
The middle position has two values , 19 , 24 ---------find the average
( 19+24 )/ 2
43 / 2 = 21.5
The median is 21.5 (answer choice B).
Choice A is incorrect because sum of middle values (43) divided by two is not 21.8 .It is 21.5
Choice C and D are incorrect because 19 and 24 are both at the middle of the list of numbers so to get the correct median you get the average of the two middle values.
Factorise 3x^2+13x+4 by splitting the middle term
Answers
Answer:
( x + 4 ) ( 3x + 1 )
Step-by-step explanation:
→ Identify the product, sum & factors
Product = 4
Sum = 13
Factors = 4 & 1
3x² + 12x + x + 4
→ Factorise 3x² + 12x and x + 4
3x² + 12x ⇔ 3x ( x + 4 )
x + 4 ⇔ 1 ( x + 4 )
→ Take out the ( x + 4 ) as a factor and ( 3x + 1 )
( x + 4 ) ( 3x + 1 )
How many solutions does the following equation have 3x + 9 = 9 -3x
Answers
Answer:
1
Step-by-step explanation:
3x + 9= 9 -3x
Collect like terms
3x + 3x = 9-9
6x = 0
X = 0
6
Answer:
1 Solution
Step-by-step explanation:
Step 1:
3x + 9 = 9 - 3x
Step 2:
6x + 9 = 9
Step 3:
6x = 0
Answer:
x = 0
Hope This Helps :)
Use the drop-down menus to label the points on the number line will mark brainliest
Answers
Answer:
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is halfway between negative 2 and negative 1. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 1. Point D is 1 mark to the left of 2.
Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
Branliest PLZ!!!!!!! <3
Answer:Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
also the guy above me is 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 percent right
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