It is known that
the pair of values x = –3 and y =8 is a solution to the equation
5x +by =17. Find the value of the coefficient b.

Answers

Answer 1

[tex] \huge\boxed { \frak{Answer : }}[/tex]

Given :

[tex] \: \: \: [/tex]

[tex] \rm \large \: x = - 3 \: , \: y= 8[/tex]

[tex] \: \: \: [/tex]

We Have To Find The Value Of " b ".

[tex] \: \: \: [/tex]

[tex] \sf \large \: 5x + by = 17 \: \: \: \: \: -- eqn( 1 )[/tex]

[tex] \: \: [/tex]

Now , Put the given value of x & y in the above eqn ~.

[tex] \: \: [/tex]

[tex] \sf \large \: \: \: \: ⇝5x + by = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝5( - 3) + b(8) = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝ - 15 + 8b = 17[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 17 + 15[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝8b = 32[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: \: \: \: ⇝b = \cancel\frac{32}{8} [/tex]

[tex] \: \: [/tex]

[tex] \boxed{\sf \large \: \: \: \: \underline{ \: \: ⇝b = 4 \: \: \: \: }}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

Answer 2

The value of the coefficient b in the linear equation 5x +by =17 is -4

How to determine the equation solutions?

The pair of values are given as:

(x,y) = (-3,-8)

The equation is given as:

5x +by =17

Substitute values for x and y in the equation

-5 * 3 - 8 * b =17

Evaluate the product

-15 - 8b =17

Add 15 to both sides

-8b = 32

Divide both sides by -8

b = -4

Hence, the value of the coefficient b is -4

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Related Questions

The blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute. which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate. h = negative 10 sine (startfraction pi over 15 endfraction t) 35 h = negative 10 sine (pi t) 35 h = 10 sine (startfraction pi over 15 endfraction t) 35 h = 10 sine (pi t) 35

Answers

Answer:

it is c

Step-by-step explanation:

:)

The sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]  an option (c) is correct.

It is given that the blades of a windmill turn on an axis that is 35 feet above the ground. the blades are 10 feet long and complete two rotations every minute.

It is required to model the sine equation.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the standard equation for the sine equation:

[tex]\rm y = Asin(wx)+h[/tex]

Where [tex]\rm T=\frac{2\pi}{w}[/tex]

[tex]\rm w = \frac{2\pi}{30}[/tex]   ( In one minute, they complete two rotations.)

[tex]\rm w = \frac{\pi}{15}[/tex]  ( T = 30)

At time t=0, the blade is horizontal. Hence, at t = 0, h = 35

And A = 10

Put all the values in the sine equation:

[tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex]

Thus, the sine equation is  [tex]\rm y = 10sin(\frac{\pi}{15} t)+35[/tex] an option (c) is correct.

Know more about trigonometry here:

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The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?

The measure of the larger angle is ____

Answers

Answer:

100 DEGREES

Step-by-step explanation:

Supplementary means they add to 180 degrees

4x + 5x = 180

x = 20

smaller angle  4 (20) = 80

 learger angle 5 (200 = 100

3. Classify the angle pair using all the names that apply.
2

Answers

Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.

Hope this helps!

What integer best represents
ascending 800 feet?

Answers

Answer:

positive interger.....

I need help!!!!! 4. Determine 3 possible solutions to the inequality below

Answers

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

What is the difference between the two fractions explain in full detail. Type out answer

Answers

Answer:

Step-by-step explanation:

There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:

[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]

Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:

[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]

Can someone help me with this pls

Answers

Answer:Koda is correct.Why is Koda correct?Koda is correct because when she divided the dividend, she took 1/8th reciprocal and changed the sign. This is the correct way to solve a constant being divided by a fraction.Why is Franz incorrect?Franz is incorrect because he did took 1/8th reciprocal, but forgot to change the sign. ALWAYS change the sign when you are taking a reciprocal of the fraction.

Correct solution:

⇒ 8 ÷ 1/8⇒ 8 x 8⇒ 64

Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!

Answers

a) y=5w+63
b) 5(-5)+63= 38

Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours

Answers

Answer:

Hope the picture will help you

Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.

Answers

(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)

Round 194 pounds to 190 ; 177 to 180

In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.

Find x . Round your answer to the nearest tenth of a degree.

Answers

The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

Trigonometry identity

From the given right angles triangle, we have the following parameters;

<A + 48 + 90 = 180 (sum of angles in a triangle)

<A =180 - 138

<A = 42 degrees

Using the SOH CAH TOA identity

sin48 = b/26

b = 26sin48

b = 19.3

For the value of a

sin42 = a/26

a = 26sin42

a = 19.3

a =17.4

Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

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Which expressions are equivalent to In e?

Answers

Answer:

lne = log(e)e = 1

Step-by-step explanation:

I hope this helps!

what is 445 fl oz into pints and why?

Answers

Answer:

27.8 nearest tenth pints

To find, divide the value by 16

One pint is 16 fl oz. So divide 445 fl oz to get 28.4375, or just 28.44 fl oz

Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .

Answers

[tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

[tex]\rm 3x^2[/tex]  and

[tex]x^2y+3xy^2+1[/tex]

For [tex]3x^2[/tex]

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, [tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

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Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

WILL GIVE BRAINLIEST !! I NEED HELP ASAP

In the figure, ABCD is a rhombus.BG and DCG are straight lines

Find CAD
Find ACG

Answers

Answer:

Below in bold.

Step-by-step explanation:

1) as ABCD is a rhombuc AC bisects < BAD and < BCD .

Therefore < CAD = 1/2 * 104 = 52 degrees.

2) < ACG  = < ADC +  < CAD  ( External angle of triangle theorem)

Therfore  < ACG = 76 + 52 = 128 degrees.

Luca owns a pool cleaning business. Luca wants to have a monthly profit of $5,867.00 with 50 costumers, fixed monthly expenses of $2,510.00, and variable expenses of $18.40 per pool. determine how much Luca needs to charge per customer to reach his profit goal.
$164.82
$170.34
$185.94
$200.31​

Answers

Answer:

$185.94

Step-by-step explanation:

5,867+2,510= 8,377

8,377÷50c= 167.54

167.54+18.40= $185.94

Help, please! It's all in the screenshot

Answers

A:

5=2+3

-> right triangle

B:

5=4+3

-> not a right triangle

C.

36= 25+16

36= 41

-> not a right triangle

D.

49= 25+25

49=50

-> not a right triangle

E.

100= 36+ 64

100= 100

-> right triangle

Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2

Answers

Answer:

Option C, the second one. (B and C are switched)

Step-by-step explanation:

a * a = a2

a * b = +ab

⬇️

2ab

⬆️

b * a = +ba or +ab

Two b's make b2 and don't worry, even with the negative sign it is a b2.

5[tex]5x^{2} + 20x - 60 =[/tex]

Answers

Answer:

5

x

2

+

20

x

60

Factor

5

out of

5

x

2

+

20

x

60

.

Tap for more steps...

5

(

x

2

+

4

x

12

)

Factor.

Tap for more steps...

5

(

x

2

)

(

x

+

6

)

Step-by-step explanation:

ANSWER IS =5X2+20X-60

------------------------------

THIS ANSWER IS CORRECT

Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?

Answers

Frazer got 28 spellings correct.

Explanation: 40 x .70 = 28

Hope this helps and please mark brainliest!

The number of the correct spellings is 28.

What are percentages?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Frazer scores 70% on a spelling test. If there are 40 spellings,

The number of the spellings are:-

N = 40 x 70% = 28

N = 40 x  (70/100)  =  28

Therefore the number of the correct spellings is 28.

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Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)

Answers

Answer:

purple

Step-by-step explanation:

The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .

Answers

Answer:

The hours students reported practicing their instruments last grading quarter were 29,  20,  36,  44,  30,  32,  and 40.

The mean hours students reported practicing their instruments is

✔ 33

.

The mean absolute deviation for the data is

✔ 6

.

Step-by-step explanation: answers.

A pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?

A.$3.50

B.$3.25

C.$4.00

D.$2.25

Answers

2 1/2 pounds = 2.5 pounds

A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25

-> Answer : B

The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.

What is the width of the rectangle? Remember that a measurement can only be positive.

Enter your answer in the box.

Answers

Answer:

I think the answer is 15 but I am not sure hoping this helps good luck

Answer:

its 13

Step-by-step explanation:

Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6

Answers

Answer:

It's a true solution.

Step-by-step explanation:

[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]

[tex]15 + 4 - 5 = 20 - 6[/tex]

[tex]19 - 5 = 14[/tex]

[tex]14 = 14[/tex]

i need help please hellp me

Answers

Answer:

Step-by-step explanation:

3

Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
Activate Windo

Answers

Answer:

All except the 3rd one

the one with 20 and 25

What percent is equivalent to 24\50? 24% 48% 50% 52%

Answers

Answer:

48%

Step-by-step explanation:

If you convert 24/50 to a percentage the answer is 48%

given:

[tex] \frac{24}{50} [/tex]

to find:

the equivalent percent.

solution:

[tex] \frac{24}{50} [/tex]

[tex] = 0.48[/tex]

[tex]0.48 \times 100\%[/tex]

[tex] = 48\%[/tex]

therefore, the equivalent percent of 24/50 is 48%

8 less than a number is more than 12 numeral form

Answers

8 less than a number means to subtract 8 from that number.


answer: n - 8 > 12

Answer:

n - 8 > 12

Step-by-step explanation:

Let the number be n.  Then n - 8 > 12

Explain how you know 3⁴=9² without calculating the values.​

Answers

Answer:

See below

Step-by-step explanation:

[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]

Answer:

think of it like this

Step-by-step explanation:

whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's

Now we got 3^4  how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same

basically you are multtiplying the left side to get the same number on the right because it tells you they are even

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