Given the equation 10r−9y=8, what is the value of r when y=18? r=

Answers

Answer 1

The value of r when y = 18 is 17.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given the equation which is linear having the exponent of the variable equals 1.

10r - 9y = 8

We have to find the value of r when value of y = 18.

Substituting y = 18 in the equation,

10r - (9 × 18) = 8

10r - 162 = 8

10r = 170

r = 170/10

r = 17

Hence when the value of y = 18, then the value of r = 17.

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Related Questions

Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051

Answers

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515

Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 times as many messages as alan. How many messages did they each send?

Answers

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.

Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Answer:

I think it would be 25m + 10b = 400

I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!

Answers

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Five decreased by twice a number

Answers

Answer:

5-2x

Step-by-step explanation:

Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD

Answers

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

❄️✨⚡️WILL MARK BRAINLIEST⚡️✨❄️

Answers

b. -10 each time

c. The height of the slide/ the height at the top of the slide

d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)

5) 15 – 3(x + 2) ??????????????????????

Answers

Answer:

-3x + 9

Step-by-step explanation:

Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!

Answers

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

what is the appropriate unit of measure for the mass of a steel cabinet?​

Answers


If you can pick it up with your fingers or one hand - grams.

If you can move it about, and maybe load it on a truck by yourself - kilograms.

If you can’t even budge it without help - tonnes.

What is the slope of the line that passes through the points (-2, 2), and (-4, -2)​

Answers

Answer:

Step-by-step explanation:

(-2 - 2)/(-4 + 2)= -4/-2= 2 is the slope

y - 2 = 2(x + 2)

y - 2 = 2x + 4

y = 2x + 6 is the equation

Answer:

The slope is 2

Step-by-step explanation:

Hope this helps!

need help solving..........

Answers

Answer:

Angle A always equal angles T

the first answer

Answer: sry i dont know

Step-by-step explanation:

Ayça, bir masanın uzun kenarını karışıyla 12 karış olarak ölçmüştür. Karışı 2 cm daha uzun olsaydı
masanın uzun kenarını 1 karış daha az olarak ölçecekti.
Buna göre Ayça'nın karışıyla ölçmek istediği masanın uzun kenarı kaç santimetredir?​

Answers

Answer:

sen türksün be ne işin var senin burada

Which side of DEF is the longest?

A. DE
B. EF
C. DF
D. Cannot be determined

Answers

[tex] \huge {\tt{Answer:}} [/tex]

A. DE

Option (A) DE side of the triangle DEF is the longest side.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.

The sum of the interior angles of a triangle is equal to 180°.

⇒ [tex]\angle D+\angle E+\angle F=180[/tex]

⇒ [tex]65+42+ \angle F=180[/tex]

⇒ [tex]\angle F=180-107[/tex]

⇒ [tex]\angle F=73[/tex]

The side corresponding to the ∠D is EF,  ∠E is DF,  ∠F is DE

The angle which is greater has the longest side.

⇒ [tex]\angle F > \angle D > \angle E[/tex]

⇒ [tex]DE > EF > DF[/tex]

Thus the side DE has the longest length.

Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.

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Chris needs to recover his drumhead. The drumhead's circumference is 40.82 inches. What is the area of the drumhead that needs to be covered? 1. 6.5 to the power of 2 (inches) 2. 132.67 to the power of 2 (inches) 3. 128.17 to the power of 2 (inches) 4. 64.09 to the power of 2 (inches)

Answers

Answer: 132.67 to the power of 2 (inches)

Step-by-step explanation:

The circumference of a circle is given as 2πr. Therefore, in his case,

2πr = 40.82

2 × 3.142 × r = 40.82

6.284r = 40.82

radius = 40.82/6.284

radius = 6.5 inches

Area will now be:

= πr²

= 3.142 × 6.5²

= 3.142 × 42.25

= 132.75 inches²

Therefore, the closest answer will be 132.67 to the power of 2 (inches).

Escribe 2 ejemplos que contengan universo, población y muestra. Pueden ser de artículos de tu agrado como: celulares, motos, consolas de juegos, etc.

Answers

Responder:

Teléfonos móviles :

Universo - -> {todos los teléfonos móviles} - unidad experimental

Población - -> {Samsung, tecno, LG, iPhone, Motorola, Huawei, .....} - -> valores variables de unidades experimentales

Muestra - - -> {Samsung, tecno, iPhone} - selección aleatoria de datos de población

Países europeos :

Universo - -> {todos europeos} - unidad experimental

Población - -> {Inglaterra, Noruega, Turquía, Italia, Francia, Holanda, .....} - -> valores variables de todos los países europeos

Muestra - - -> {España, Alemania, Polonia} - selección aleatoria a partir de datos de población

Explicación paso a paso:

Haciendo distinción entre universo, población y muestra. Univerae y la población se describen como sinónimos en algún texto. Sin embargo, otros textos estadísticos hicieron diferencias sutiles entre ambos; con el universo que se dice que contiene todas las unidades experimentales. ; siendo población el conjunto de valores de la variable. Sin embargo, podemos asumir de manera concluyente que ambos son sinónimos, ya que de ellos se extrae una muestra que es un subconjunto de un conjunto de datos más grande (población).

find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)

Answers

Eeeeeeeeeeeeeeeeeeee
3a2+30a-2a-20=3a2+28a-20
6b2+15b-30b-75=6b2-15b-75

please help solve this but don't spam ( Transposition method )​

Answers

Answer:

x = -⁷/9

Step-by-step explanation:

[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]

Multiply both sides by 3

[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]

[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]

Multiply both sides by 2

[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]

[tex] 2(9x - 8) = 3(9x - 3) [/tex]

[tex] 18x - 16 = 27x - 9 [/tex]

Subtract 27 from each side

18x - 16 - 27x = 27x - 9 - 27x

-9x - 16 = -9

Add 16 to both sides

-9x - 16 + 16 = -9 + 16

-9x = 7

Divide both sides by -9

-9x/-9 = 7/-9

x = -⁷/9

Solve the triangle. Round decimal answers to the nearest tenth. ​

Answers

Answer:

x = 5.7           y = 9.4

m∠H = 31°

Step-by-step explanation:

cos of an angle = adjacent side/hypotenuse

and sine of an angle = opposite side/hypotenuse

cos 59 = x/11          and sin 59 = y/11

11 cos 59 = x                  11 sin 59 = y

x = 5.7                             y = 9.4

m∠H = 90 - 59 = 31°

You need  to memorize the definitions of all the trig functions and then these types of problems will be easy for you.

[tex]x=5.7[/tex], [tex]y=9.4[/tex]  and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below :

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

What is the sum of angle of triangle?

The sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn)

According to question,

In Δ FGH ,

∠G = 59°

Hypotenuse of triangle = 11

Base of triangle according to the ∠G = x

Perpendicular of triangle according to the ∠G = y

Now,

Cosθ =  [tex]\frac{Base}{Hypotenuse}[/tex]

[tex]Cos[/tex] 59° =  [tex]\frac{x}{11}[/tex]

   [tex]x[/tex] [tex]=11[/tex]× [tex]0.515[/tex]     (  Cos59° = [tex]0.515[/tex] )

     x [tex]=5.7[/tex]

Sinθ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]Sin[/tex] [tex]59[/tex]° [tex]=\frac{y}{11}[/tex]

      [tex]y=11[/tex] * 0.857

       y [tex]=9.4[/tex]

         

According to the sum of angle of triangle

∠F + ∠G +∠H = 180°

90° + 59° + ∠H = 180°

∠H = 180° - 90 -59

∠H = 31°

Hence,[tex]x=5.7[/tex], [tex]y=9.4[/tex]  and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.

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In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many pennies as dimes, one more nickel than dimes, and twice as many.quarters as dimes. How many quarters did Theodore get in his prize? F. 4 G. 5 9 'H J. 7 K. 8

Answers

Answer:

6

Step-by-step explanation:

https://web2.0calc.com/questions/algebra_69756

Theodore get 6 quarters in Prize.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.

So, the expressions are

p = 3d                

n = d+1              

   = 5(d+1)

d = 10d

and, q = 2d              

           = 25 (2d)                    

and, the total is = $209

                          = 209

Then,

3d + 5(d+ 1)  + 10d  +25 ( 2d) = 209

68d + 5 = 209

d = 3                          

Thus, the number of quarters = 2d = 6 quarters.

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The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?

Answers

Answer:

$45

Step-by-step explanation:

17.95÷2 = 8.975

8.975 × 5 = 44.875

Round to $45

Answer:

$45

Step-by-step explanation:

17.95/2 would be 8.975

then 8.975 times 5 would be 44.875

rounding it to the dollar would be about 45 dollars

hope this helps

Please help asap I will give you brainliest Find the area of the shaded region

Answers

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo? ​

Answers

Answer:

segun yo es asi no confies mucho en mi

Step-by-step explanation:

200 kg total de papel

primer grupo= 60kg

segundo= 13kg

tercero= 45.93

cuarto= x

si sumamos el total recolectado por los tres primero grupos

60+13+45.93

esto nos da

118.93

si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado

200-188.93= cuarto grupo

cuarto grupo=81.07kg

i need help ASAP 6th grade work!!!!! HELP

Answers

Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7

Is 30% of 70 is the same as 3/7 of 70?

Answers

Answer:

No

Step-by-step explanation:

30% is the same as 3/10

3/7 is about the same as 43%  

There is a difference among the percentage so no it's not correct

Yes, the value 30% of 70 is the same as 3/7 of 70.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To show this mathematically, we can start by calculating 30% of 70:

30% of 70 = (30/100) x 70

= 0.3 x 70

= 21

Now, let's calculate 3/7 of 70:

3/7 of 70 = (3/7) x 70

= 30/100 x 70

= 0.3 x 70

= 21

As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.

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help plssss i give brainliest

Answers

Answer:

(7, - 2 )

Step-by-step explanation:

Given the 2 equations

x = - 3y + 1 → (1)

- 3x - 3y = - 15 → (2)

Substitute x = - 3y + 1 into (2)

- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side

9y - 3 - 3y = - 15

6y - 3 = - 15 ( add 3 to both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Substitute y = - 2 into (1) for corresponding value of x

x = - 3(- 2) + 1 = 6 + 1 = 7

solution is (7, - 2 )

an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100

Answers

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2

Answers

Answer:

C) -7/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6

simplify -14/6 to -7/3

solve the problem: -10 + +10 =

Answers

It equals zero negative plus positive equals zero

Answer:

0

Step-by-step explanation:

-10+ + 10

-10+10

0

f(x) = 5x-3
slove this its is Evaluate functions

Answers

Answer:

f(5) = 22

Step-by-step explanation:

When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.

f(x) = 5x - 3

f(5) = 5(5) - 3

5 * 5 = 25

25 - 3 = 22

f(5) = 22

I hope this helps you!

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