Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical length of \overline{ST}. ST .
Answer:
[tex]ST = 10[/tex]
Step-by-step explanation:
Given
[tex]RT =4x[/tex]
[tex]ST = 5x - 10[/tex]
[tex]RS = 6[/tex]
Required
Determine ST
Since S is on RT, we have that:
[tex]RT = RS + ST[/tex]
[tex]4x = 5x - 10 + 6[/tex]
[tex]4x = 5x - 4[/tex]
[tex]4x - 5x= - 4[/tex]
[tex]-x= - 4[/tex]
[tex]x= 4[/tex]
Substitute 4 for x in [tex]ST = 5x - 10[/tex]
[tex]ST = 5 * 4 - 10[/tex]
[tex]ST = 20 - 10[/tex]
[tex]ST = 10[/tex]
Answer: It Equals 8
Step-by-step explanation:
Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.
\text{Label known information:}
Label known information:
R
S
T
2x + 7
5x – 7
RT = 4x + 9
RS+ST=
RT
Segment addition postulate
\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=
2x+7+5x−7=
\,\,\color{darkred}{4x+9}
4x+9
Substitute expressions
7x=
7x=
\,\,4x+9
4x+9
Combine like terms
-4x\phantom{=}
−4x=
\,\,-4x
−4x
3x=
3x=
\,\,9
9
\frac{3x}{3}=
3
3x
=
\,\,\frac{9}{3}
3
9
Divide by 33
x=
x=
\,\,\color{darkgreen}{3}
3
\text{Plug in value of }x\text{ to find }ST\text{:}
Plug in value of x to find ST:
ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8
ST=5x−7=5(3)−7=8
\text{You can plug }x\text{ into each expression:}
You can plug x into each expression:
Optional to check work
R
S
T
2(3) + 7
5(3) – 7
RT = 4(3) + 9
\text{Simplify:}
Simplify:
R
S
T
13
8
RT = 21
\text{Final Answer:}
Final Answer:
ST=\color{green}{\mathbf{8}}
ST=8
There is a leak in the attic due to rain.Jared is planning to use buckets to catch the dripping water.The number of buckets (y) filled during (x) hours can be represented by the equation y = 0.4x. How long will it take to fill 2 buckets(hours)
Answer:
5 hours
Step-by-step explanation:
The problem is giving you the equation
y = 0.4x; where y is the # of buckets filled and x is the hours.
If they you 2 filled buckets, then how many hours?
You need to solve for x
y = 0.4x; to get the x by itself, divide by 0.4
x = [tex]\frac{y}{0.4}[/tex] ; now substitute y with 2 ( for 2 filled buckets)
x = [tex]\frac{2}{0.4}[/tex] = 5; which means it took 5 hours to fill up 2 buckets.
PLS HELP I WILL HELP BACK 15 POINTS WILL GIVE BRAINLIEST Write the equation of a polynomial, in standard form, that has:
Zeros: 3, -2/5, 3i
leading coefficient of -5
Answer: -5x^3 -13x^2 -6x + 15ix + 39ix + 18i
Step-by-step explanation:
An equation with zeros at these numbers could be put in form x = number.
So, (x-3) could be set to 0 to get x=3.
So, you can look at these "answers" they give you and work backward to get:
(x-3)(x+2/5)(x-3i)
Multiply first two together.
x^2+2/5x-3x-6/5
simplify
x^2 - 2 3/5x -6/5
Change first term to have same denominator by multiplying by "1" in the form of -5/-5
-5x^2/-5 - 13/5x -6/5
Divide all terms by 1/5 (which is the same as multiplying each term by 5)
(-5x^2 -13x -6)
Now multiply by (x-3i)
-5x^3 -13x^2 -6x + 15ix + 39ix + 18i
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation:
Which is the function represented by the table ?
Answer:
its b
Step-by-step explanation:
Solve the proportion 2/7=c/28
Hurry!!!
Answer:
C = 8
Step-by-step explanation:
2/7 = c/28
Multiply to get c by itself
2/7 x 28 = c
Solve
2/7 x 28 = 8
C = 8
The value of c is 8 in the proportion 2/7=c/28.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given proportion is 2/7=c/28
Two divided by seven equal to c divided by twenty eight.
We have to find the value of c.
We find the value of c by applying cross multiplication
28×2=7c
56=7c
Divide both sides by 7
56/7=c
Divide numerator and denominator by 7
We get c=8
Hence, the value of c is 8 in the proportion 2/7=c/28.
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At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.
Answer:
12books
Step-by-step explanation:
4 books → 1 $5 coupon
$15 coupon = $15 / $5 = 3times of $5 coupons
3 $5 coupons → 4 x 3 = 12 books
this is a topic on forming and solving equations. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting notes for many topics and will also be posting some tips :)
The number of books for $ 15 coupon is 12 books
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
From the bookstore :
Number of books for $ 5 coupon = 4 books
So ,
Number of books for $ 15 coupon = Number of books for $ 5 coupon x 3
Number of books for $ 15 coupon = 4 x 3 books
Number of books for $ 15 coupon = 12 books
Therefore , the number of books is 12
Hence , the number of books for $ 15 coupon is 12 books
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cuales son las soluciones (o raices) de la ecuacion x^2 + 6x - 16 = 0?
Answer:
x = 2,-8
Step-by-step explanation:
Fraction 3•5 • fraction 4•9 =
Answer:
Step-by-step explanation:
3.5×4.9
=35/10×49/10
=1715/100
Or 17.15 answer
Answer:
Step-by-step explanation:
3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.
Answer:
a) 36
b) 8.5
c) 5/2
d) 6
e) 9
f) 8
Step-by-step explanation:
a) [tex]x \div 3 =12[/tex]
Multiply both sides by 3
[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]
b) [tex]2x+3=20[/tex]
Subtracting 3 from both sides
[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]
c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]
Multiply both sides by 3/4
[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]
d) [tex]-4x=-24[/tex]
Divide both sides by -4
[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]
e) [tex]2(x-4)=10[/tex]
Divide both sides by 2
[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]
f) [tex]-0.5x+1.1=-2.9[/tex]
Subtracting 1.1 on both sides
[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]
please help me in this question
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
Find the value of x. X=
Answer:
109°
Step-by-step explanation:
there are two ways to slove this kind of questions.
simply,x = 64 + 45
or x = 180-(180 - 64- 45)
1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club members structure the committee? a. 12 b. 120 c. 720 d. 604,800
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
helppp me plzzzzzzz i am no god at the maths
Answer:
i beleive its n-6
Step-by-step explanation:
can somebody help me
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.
Answer:
it is A
Step-by-step explanation:
At a clearance sale, Jolissa bought a jacket that was marked down 60%. The regular price of the jacket was $89. How much did she pay for the jacket?
Answer:
35.60
Step-by-step explanation:
Multiply the original price $89 times the mark down percentage 60%
You get 53.40, then subtract it from 89.
Answer:
She paid $35.60 for the jacket.
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
Answer:
84º
Step-by-step explanation:
If a line intersects parrelal lines, the angle in the same place will need to pe tha same.
Answer:
? = 84°
Step-by-step explanation:
For the lines to be parallel.
Then 84 and ? are corresponding angles and congruent, thus
? = 84°
PLEASE HELP !! 10 POINTS AND BRAINLIEST !! <3
Answer:
Your answer would be (7, -9)
Oscar has 30 pairs of sneakers. Of his sneakers, 8 pairs are white, 10 pairs are black, 10 pairs are blue and 2 pairs are blue. What percentage of Oscar's sneakers are black?
Answer: 33.33%
Step-by-step explanation:
Number of White sneakers = 8
Number of Black sneakers = 10
Number of Blue sneakers = 10
The percentage of Oscar's sneakers that are black will be:
= Number of black sneakers / Total sneakers × 100
= 10/30 × 100
= 33.33%
please help:) please help:)
Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb
Step-by-step explanation:
I’ll give brainliest
Answer:
6x+12
Step-by-step explanation:
2(5x+3)-2(2x-3)Expand, 10x+6-4x+6Combine like terms, 6x+12log(x+1)−log(x−8)=log(10)
How do i solve this?
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
The applicable rule of logarithms is ...
log(a) -log(b) = log(a/b)
__
Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.
log(x+1) -log(x-8) = log(10)
log((x+1)/(x-8)) = log(10)
(x +1)/(x -8) = 10 . . . . . . . take antilogs
x +1 = 10(x -8) . . . . multiply by x-8
81 = 9x . . . . . . . add 81-x, simplify
9 = x . . . . . . . . . divide by 9
_____
When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.
The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
can somebody please help me on these questions ASAP , I appreciate it so much :)
There are 4 boys and 9 girls on the track team how many students are on the track team altogether
Answer:
13 students
Step-by-step explanation:
4 plus 9 = 13
Answer:
ist it 13 students (・o・)
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
add hen sub ten bom anwwerHELP!!!plzzzzzzzzzzz!!!!!!!!!!!!!!
Answer:
m∠2 = 47°
Step-by-step explanation:
m∠1 + m∠2 = 90°
3x + 13 + 5x - 3 = 90
8x + 10 = 90 ⇒ x = 10
m∠2 = 47°
How many solutions does the system have?
y= -5x - 1
y = -5.2 + 7
Answer: y= -5x - 1
y = -5.2 + 7
Step-by-step explanation: y= -5x - 1 has 3. y = -5.2 + 7 has 1
Ennis ran 3 miles in 20 minutes and continues running at this rate for 1 hour. Cindy ran 6 miles in 30 minutes and continues running at this rate for 1 hour.
Answer:
Ennis=9 milesCindy=12 milesStep-by-step explanation:
Step one:
given data
For Ennis
distance covered= 3 miles
time taken = 20 minutes
Hence Ennis speed is
velocity= distance/time
velocity= 3/20
velocity=0.15miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.15*60
Distance= 9 miles
Step two:
For Cindy
distance covered= 6 miles
time taken = 30 minutes
Hence Cindy speed is
velocity= distance/time
velocity= 6/30
velocity=0.2miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.2*60
Distance= 12 miles