Answers
Answer:2x+15+6x-37/2=3x+5
We move all terms to the left:
2x+15+6x-37/2-(3x+5)=0
We add all the numbers together, and all the variables
8x-(3x+5)+15-37/2=0
We get rid of parentheses
8x-3x-5+15-37/2=0
We multiply all the terms by the denominator
8x*2-3x*2-37-5*2+15*2=0
We add all the numbers together, and all the variables
8x*2-3x*2-17=0
Wy multiply elements
16x-6x-17=0
We add all the numbers together, and all the variables
10x-17=0
We move all terms containing x to the left, all other terms to the right
10x=17
x=17/10
x=1+7/10
The value of RS is 31.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If RS and UT are parallel, then their corresponding sides are proportional. Thus,
RS/UT = (2x + 15)/(6x - 37)
Now,
RS/UT = (2x + 15)/(6x - 37)
Cross-multiplying.
(2x + 15)UT = RS(6x - 37)
Expanding and simplifying.
2xUT + 15UT = 6xRS - 37RS
Rearranging.
6xRS - 2xUT = 15UT + 37RS
Factorizing.
2x(3RS - UT) = 15UT + 37RS
Dividing both sides by (3RS - UT):
2x = (15UT + 37RS)/(3RS - UT)
Substituting RS = 2x + 15 and UT = 6x - 37:
2x = (15(6x - 37) + 37(2x + 15))/(3(2x + 15) - (6x - 37))
Simplifying
2x = (90x - 555 + 74x + 555)/(6x + 36)
2x = (164x)/(6x + 36)
Multiplying both sides by (6x + 36):
12x² + 72x = 164x
Simplifying
12x² - 92x = 0
Factoring out 4x.
4x(3x - 23) = 0
So,
x = 0 or x = 23/3.
Since x cannot be 0 (as it would make UT = -37, (which is not possible),
x = 23/3.
Substituting this value of x into RS = 2x + 15.
RS = 2(23/3) + 15 = 31
Thus,
The value of RS is 31.
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Related Questions
what's the answer ?
[tex] \frac{ \sqrt{225} }{ \sqrt{} 25} [/tex]
Answers
Answer:
Hello.....
15/5
Step-by-step explanation:
thanks
Answer:
3
Step-by-step explanation:
here's your solution
=>. first u have to find out the root of 225
which is 15
=> and also root of 15 which is 5
=> now,we have to divide 15 by 5
=> hence, answer is 3
hope it helps
Round 0.731 to the nearest hundredth.
Answers
Answer: 0.73
Step-by-step explanation:
Answer:0.73
Step-by-step explanation: none the answer is right
fleas have six legs are five fleas on the dog in 3 fleas on the cat how many legs are there altogether
Answers
Answer: 90
Step-by-step explanation:
Answer:
48 legs
Step-by-step explanation:
5 times 6 equals 30
3 times 6 equals 18
I need help very fast please !
Answers
Answer:
Contents of this laser is 0.744 um and is a concise description of many of the in struments used in
Step-by-step explanation:
1.Introduction for the Royal College of Ophthalmologists and Ophthalmologists and I will #ثوره_طلابية غاضبة على قرار وزاره التعليم العالي باصدارها القرار المجحف وعليه يبداء من الان الاعتصام الطلاب #والاضراب_عن_الدوام لحين تحقيق المطالب.
تعليم الكتروني = امــتـحـان الكتروني
تعليم حضوري = امــتـحـان حضوري07725134341
What is the perimeter of the triangle below?
O 30
015
0 42
O 35
Answers
Your welcome:)
Hope this help?
Question 6
An environmental group volunteers to pick up trash along a road that is
Brady's claim correct?
milelong. The volunteers divide the road to 4 sections adams that each section of the roads
5
4
Yes How
Answers
Answer:
23
Step-by-step explanation:
is the answer to the problem
A box has a volume of 20 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
Answers
Answer:
h = 2.5 in
Step-by-step explanation:
v = bwh
20 = 2x4xh
h = 2.5 in
Can someone please help me !!
Answers
Answer:
(3a + 2)(a + 3)
Step-by-step explanation:
steps for gcf of 40x, 60x
Answers
2. Find the factors of 60.
3. You should come up with a common factor which is a common number listed for both 40 and 60.
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
How do you find the GCF of 24 and 60
Answers
Answer:
12
Step-by-step explanation:
Find the prime factorization of 24.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
Evaluate 18 + 2y, when y= 7
Answers
Answer:
32
Step-by-step explanation:
18 +2(7).
2 x 7 = 14
18 + 14 = 32.
A pair of sneakers is regularly at $52. The store sells it for $78. What is the percent increase?
A. 33.33% B. 50% C. 5%
Answers
The answer is A.33.33%.
2. Jada saw a music video that her favorite artist recently posted online. The equation
v(t)=450x3^t represents the number of views, v, of the video, t days since Jada saw the video
a. Find v(-2)
Answer:
b. What does v(-2) represent in this situation?
Answer:
Answers
Answer:
A. V=-640
Y=0
B. V represents the views 2 days before Jada saw the video.
Step-by-step explanation:
24% of what number is 6?
Answers
Answer:
6 is 24% of 25
Step-by-step explanation:
Ur welcome :)
Hope u have a good day
What is the area of the polygon in square units?
Answers
Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
__
Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
The sum of two numbers is 68. Their difference is 15. Write a system of equations you could use to solve this problem.
Answers
Answer:
x+y=68
x-y=15
Step-by-step explanation:
A "sum" means that we will be using addition, while a "difference" indicates subtraction. Anytime we have two unknown numbers we generally use "x" and "y".
( 7 x 5 ) ( 9 x 3 ) simplify
Answers
Step-by-step explanation:
(7 x 5) (9 x 3)
=(35) (27)
=35 x 27
=945
Answer:
If this is an expression, then 945
If these are invidual factors, then (35) (27)
Step-by-step explanation:
Situation one: Multiply the numbers. Paranthesis are not needed as multiplication is communitive, which leads me to believe they are factors written out in that form for some reason, cit. possibility two.
I’ll give Brainliest I need help please & thanks
Answers
..—————————————————————
solve for x
a) -11
b) -10
c) 11
d) 10
Answers
Explanation:
4(10) + 11 = 51
5(10) + 1 = 51
The two angles are adjacent so they have to be equal
Hope this helps :)
Which expression is equivalent to sqrt48x^5 if x>0
Answers
sqrt 48 = 4 sqrt 3
sqrt (x^5) = sqrt x^4 . sqrt x
= (x^4)^1/2 . sqrt x
= x^2 . sqrt x
= 4 . sqrt 3 . x^2 . sqrt x
= 4x^2 sqrt 3x (C)
Answer:
sqrt (48x^5) if x>0
. implies multiplication
48 = 2. 2.2.2.3= 2^4 .3
sqrt [2^4 .3 (x^5) ] if x>0
sqrt [2^4 ] sqrt [3 ] sqrt [(x^5) ] if x>0
sqrt [16 ] sqrt [3 ] sqrt [(x^5) ] if x>0
4. sqrt [3 ] sqrt [(x^5) ] if x>0
We know, sqrt [(x^5) ] if x>0 = x^2. sqrt [(x) ]
4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0
4x^2 sqrt[3x] (answer c)
Step-by-step explanation:
Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book
Answers
Answer:
dimensions of the book are 2 in. by 24 in.
Step-by-step explanation:
I assume the book is a rectangle
Let w = the width
l = the length
A = lw = 48 P = 2w + 2l = 52
w + l = 26
l = 26 - w
w(26-w) =48
26w - [tex]w^{2}[/tex] = 48
[tex]w^{2} - 26 w + 48 = 0[/tex]
(w-2)(w -24) = 0
w = 2 or w = 24
if w = 2, then l = 26 - 2 = 24
if w = 24, then l = 26 - 24 = 2
So, the dimensions of the book are 2 in. by 24 in.
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Answers
Answer:
154°
Step-by-step explanation:
They are alternate angles.
Answer:
154 degrees
Step-by-step explanation:
I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.
Question
Type the forest answer in the box
A pack of 12 sedas costs $5,04 What is the unit rate in dollars per soda/
The unit rate in dollars per soda is
Answers
A basketball player scores 28 points in
a game. She scores 35% of the total
team points.
How many points does her team score in
total?
a 63
b 65
C 72
d 80
Answers
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ [tex]0.35x = 28[/tex]
divide 0.35 on both sides
⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]
solve:
⇒ x = 80
The total number of points will be 80. The correct option is D.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.
Calculate the number of the points below,
35% of x = 28 points
x = ( 28 x 100 ) / 35
x = 80 points
Therefore, the number of points will be 80. Option D will be the right answer.
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(1/5 x 5)^5 help please
Answers
Answer:
=1
Step-by-step explanation:
i hope this helps :)
WILL GIVE BRAINLIEST
Answers
Answer:
10 units
Step-by-step explanation:
You can create point c at (3,4) to make a right triangle
Then you know that the 2 legs are 6 and 8
We need to find the hypotenuse
You can use pythagorean theorem:
6^2+8^2=c^2
So c=10
So the distance is 10 units
:)
Classify the triangle by its angles and sides
Answers
The mean of six numbers is 14. If one of the six numbers is removed, the mean becomes 5. What is the value of the number removed?
Answers
Answer:
Remember, the mean is calculated by adding the scores together and then dividing by the number of scores you added. In this case, the mean would be 2 + 4 (add the two middle numbers), which equals 6. Then, you take 6 and divide it by 2 (the total number of scores you added together), which equals 3.
Step-by-step explanation:
Hope I helped.It's just a reminder of helpful things for means!
Answer:
59
Step-by-step explanation:
Suppose a, b, c, d, e and f represent the 6 numbers.
Then, [tex]\frac{a + b + c + d + e + f}{6} = 14\\[/tex]
(1) a + b + c + d + e + f = 84
Let's remove f
then [tex]\frac{a + b + c + d + e}{5} = 5[/tex]
(2) a + b + c + d +e = 25
Substitute 25 in for a + b + c + d +e in equation (1)
We have 25 + f = 84
f = 59
I need help finding the rate of Change please!
Answers
Answer: rise(y axis) over run (x axis)
rate of change/slope is 2x
plz solve this
1. 12/11 , 108/99
2. 1.5/9 , 1/6
3. 3/11 , 15/66
4. 1.7/1.2 , 2.9/2.4
and Determine whether each pair of ratios are equivalent ratios. Write yes or no.
Answers
Answer:
1. yes
2. no
3. yes
4. no
Step-by-step explanation: