Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
Need help ASAP pls thx
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+28+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{70}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{2}{5}[/tex]
Answer:
28/60
7/15.
7/15R.f(green)
Hope it helps
simplify
[tex] \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
please show all work!
Answer:
[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]
Step-by-step explanation:
we would like to simplify the following expression:
[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
recall distribution property thus:
[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]
remember that,
[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]so assign variables:
[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]simplify Multiplication:
[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]
rewrite 45 as 9×5:
[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]
utilize the formula:
[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]
simplify square:
[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]
and we're done!
[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]
Solution[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]
[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]
Or we can break 15n
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]
Simplify please explain step by step
Answer:
-4.4
Step-by-step explanation:
=3-[8-(7-6.4)]
=-4.4
Find the unit rate $30 for 2 1/2 hour of work.
Answer:
$12/ 1 hour of work
Step-by-step explanation:
30 : 2/12
Divide both sides by 2 1/2
12 : 1
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
Answer:
The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"
2 dived (8+3x3-4^2) What is the answer
Answer:
2
Step By Step Explanation:
= 2*(8+3*3-4^2)
= 2*(8+3*3-16)
= 2*(8+9-16)
= 2*(17-16)
= 2*(1)
= 2*1
= 2
Answer: 2
Step-by-step explanation:
2/(8+9-16)
2/1 = 2
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
in a scientific notation, M •10^n must be greater than or equal to 1 and less than
In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.
Classify each number below as a rational number or irrational number
Answer:
[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]
because -√49 = -7
[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]
can you figure out what 2x° equals and (90-x)°
I HOPE IT WILL HELP YOU.
Have a great day ahead.
find the sum of first 50 terms in the sequence 10n-15.
Answer:
485 bro just do it with calculator
Step-by-step explanation:
10×n-15
10×50-15
485
Answer:
12,000.
Step-by-step explanation:
First term = 10(1) - 15 = -5
50th term = 10(50) - 15 = 485
Sum of 50 terms = (50/2)(-5 + 485)
= 25 * 480
= 12,000
a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it
1 meter = 100 cm
4 meters x 100 = 400 cm
Divide total cm by cm per piece:
400/5 = 80
80 pieces.
7 out of 10 students can ride in a van on the field trip. In how many ways can the 7 students be selected
What is this expression in simplified form?
3/3 x 6/6
Answer:
18/18 = 1
Step-by-step explanation:
A student’s incorrect attempt to simplify an exponential expression is show in the box
What is his mistake!!!!!
Answer:
A
Step-by-step explanation:
x^a/x^b=x^(a-b). General rule of exponents
Step by step please (variable expression)
Answer:
139
Step-by-step explanation:
Substitute x for 15.
9(15)+4
Then multiply:
135+4
And then add:
139
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Hi ;-)
[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]
Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .
Answer:
Madarchod Benchod You Idiota You French
Solve for X when 7cos2x = 5
Answer: x = 22.21
Step-by-step explanation:
Given
7 · cos (2x) = 5
Divide 7 on both sides
7 · cos (2x) / 7 = 5 / 7
cos (2x) = 5/7
Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)
2x = cos⁻¹ (5/7)
Divide 2 on both sides
2x / 2 = [cos⁻¹ (5/7)] / 2
[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)
Hope this helps!! :)
Please let me know if you have any questions
What is the volume of a cone with a height of 27 cm and a radius of 13 cm? Round your answer to the nearest tenth
Answer:
[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]
Step-by-step explanation:
Given:
Height = 27 cm
Radius = 13 cm
Formula:
[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]
Solution:
V = 1/3 (3.14)(13)²(27)
V = (3.14)(169)(9)
V = 4778.4 cm³
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
Oceanside bike rental shop charges 14 dollars plus 7 dollars an hour for renting a bike. Sara paid 77 dollars to rent a bike. How many hours did she pay to have the bike checked out
Answer:
she paid for 77 hours
Step-by-step explanation:
First add 14+7 which equals 21 then keep adding 7 which is the total charge each our until you reach 77.
PLEASE help!10 points
Answer:
-24
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
Pre-Calc HELPP I’ll give brainliest
Solve the blank boxes on the graph and answer the question in red
Answer:
I can’t see the red question.
Step-by-step explanation:
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
Answer:
56
Step-by-step explanation:
The numerical length of QS is 128.
We have a Line Segment QT and a point R lies on the midpoint of QS.
We have to determine length of QS.
What is Mid - Point of a line?The mid - point of a line is a point that divides it into two parts of equal lengths.
According to question, we have -
RS = 2x - 4
ST = 4x – 1
RT = 8x – 43
Since, R is the midpoint of QS -
QR = RS = 2x - 4
QS = QR + RS = 2 x QR = 2(2x - 4)
Now -
ST = RT - RS
ST = 8x - 43 - 2x + 4
ST = 6x - 39
and
ST = 4x - 1 [Given]
Therefore -
6x - 39 = 4x - 1
6x - 4x = - 1 + 39
2x = 38
x = 19
Now -
QS = QR + RS = 2RS
QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128
Therefore - QS = 128
Hence, the numerical length of QS is 128.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ6
First person to answer this correctly gets Branilist!
Answer:
9. -1
First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.
10. 9
Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.
11. 11
Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.
12. 5
Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.
13. -5
Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.
14. -2
Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.
15. -3
Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.
16. -13
Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.
7) 17 is this number a integer, whole number, or rational number.
Answer:
Integer, whole number, and a rational number
A football tournament with 12 teams is organised.
Each team will play each other exactly once.
b) Work out the total number of games played
Answer:
66 gamesStep-by-step explanation:
Team 1 will play the rest 11 teams = 11 gamesTeam 2 = 10 gamesTeam 3 = 9 games...Team 11 = 1 gameTotal games:
11 + 10 + 9 + .. + 1 = (1 + 11)*11/2 = 66