please help solve for y!

Please Help Solve For Y!

Answers

Answer 1

As both angles are supplementary

[tex]\\ \Large\sf\longmapsto 3x+(2x+3y)=180°[/tex]

[tex]\\ \Large\sf\longmapsto 3x+2x+3y=180[/tex]

[tex]\\ \Large\sf\longmapsto 5x+3y=180[/tex]

[tex]\\ \Large\sf\longmapsto 3y=180-5x[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]

And

[tex]\\ \Large\sf\longmapsto 3x=90[/tex]

[tex]\\ \Large\sf\longmapsto x=\dfrac{90}{3}[/tex]

[tex]\\ \Large\sf\longmapsto x=30[/tex]

Now

Putting value

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5(30)}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-150}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{30}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=10[/tex]


Related Questions

Which of the following is true about the relation shown below?
The relation is not a function, and its range is (-1,2,3,5).
The relation is a function, and its range is (-1, 2, 3, 5).
The relation is not a function, and the range is (-2,-1, 1, 3, 4).
The relation is a function, and the range is (-2,-1, 1, 3, 4).

Answers

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

Help help help math math

Answers

Answer:

Step-by-step explanation:

You already have the slope. It is + 1 as in y = (+1)x when you have been given

y = x + b

That means all you need do is subtract to find out what  b is

y =   x + b

x = 5

y = 11

Difference is 11 - 5 = 6

Try it a couple more times.

x = 10

y = 16

y = x + b

16 = 10 + b        Subtract 10

16 - 10 = b

b = 6 just as it did before.

y = x + b

x = 20

y = 26

26 = 20 + b      Subtract 20

26-20 = b

b = 6

So ? = 6

Circle A was dilated with the origin as the center of dilation to creat circle b

Answers

Answer: The answer is B.)

Have a great Day/Night!

Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?

A. $1830

B. $1860

C. $5024

D. $1524

Answers

First of all we have to find 8% of $1500
1500x8/100=120
Then, 120x3=360
After, 360+1500=1860
Answer is B. $1860

212 + 115 × 6 + 968 HELP ME please!

Answers

Answer:

1870

Step-by-step explanation:

Answer : 1,870

Step - by - step explanation :

When there is multiple math signs in a problem you use PEMDAS . . .

Parentheses, Exponents, Multiplication and Division ( from the left side to right ), Addition and Subtraction ( from the left side to right )

212 + 115 x 6 + 968 --> 212 + 690 + 968

212 + 690 + 968 --> 902 + 968

902 + 968 --> 1,870

Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12​

Answers

Answer:

maybe it's 12 but i don't know...

Help me pls :D Make the equations match with the number

Answers

Answer:

18 + s = 33 (drag to 15)

27 = 9 × s (drag to 3)

40 - s = 23 (drag to 17)

5 × s = 35 (drag to 7)

18/s = 3 (drag to 6)

m/5 = 10 (drag to 50)

m + 14 = 18 - m (drag to 2)

m + m + 12 = 22 (drag to 5)

n + 7 = 18 (drag to 11)

n-9 = 22 (drag to 31)

A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set?

Answers

Answer:

-19

Step-by-step explanation:

-20 + 55 + 10 + -15 = 30

30 - 11 = 19

-19

HELP
find the a,b,c of this table

Answers

Answer:

a = b = 1 , c = - 8

Step-by-step explanation:

ax² + bx + c = y

( - 5 )² a - 5b + c = 12

c = - 8

3² a + 3b + c = 4

25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ (1)

9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... (2)

(1) + (2)

8a = 8 ; a = 1

b = 1

y = x² + x - 8

Brainliest if correct What kind of coin is coin B And coin C

Answers

Answer:

coin B

Better Date 2000 American Silver Eagle 1 Troy Oz .999 Fine Silver BU Unc

Coin C

1923 United Kingdom Great Britain GEORGE V Silver Florin 2 Shillings Coin i63027

you can get those coins from ebay

7 x [(7 + 7) = 7
Help plz

Answers

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

7 x (7+7)=7

7x [(14)]=7

x=

[tex] x = \frac{1}{14} [/tex]

graph A represents the function f(x)=^3 graph B and C are transformations of graph A

Answers

Answer:

A3

Step-by-step explanatio

Graph question
f(x)=3/5x-5
two points of function

Answers

Step-by-step explanation:

1) plot a point at (0,-5)

2) count 3 units up and 5 units to the right, plot the new point

3) connect the points with a straight line

Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.

Answers

The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

The equations are given as:

[tex]2y = 3x - 4[/tex]

[tex]4x - 2y=4[/tex]

Make y the subject in both equations

First equation

[tex]2y = 3x - 4[/tex]

[tex]y = \frac 32x - 2[/tex]

Second equation

[tex]4x - 2y=4[/tex]

[tex]y = 2x - 2[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where b represents the y-intercept

So: By comparison,

[tex]b_1 = 2[/tex] --- the y-intercept of the first equation

[tex]b_2 = 2[/tex] --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

Read more about y-intercepts at:

https://brainly.com/question/4015585

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units
down on the parent function f(x)=x^2

Answers

Answer: The graph for x cubed has a steep incline levels for a little before another steep incline

explanation: Since choice B is the only one that looks like this the answer is B

JoAnn bought 18 apples for $12.42. What was the price for 1 apple?

Answers

0.69 cents just divide them :)

Answer: $1.45

Step-by-step explanation:

18/12.42 = $1.45

What is 5 x 2 3/10 as a mixed number in the simplest form
?

Answers

Answer:

11 1/2

Step-by-step explanation:

5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2

[tex]\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ [/tex]

How much is 1/9 of 3/8 (in lowest terms)?
A)4/17
B)03/17
C)1/36
D)1/24

Answers

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

04.03 HC)
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answers

Part A:

To find the average rate of change, let us first write out the equation to find it.

Δy/Δx = average rate of change.  

Finding average rate of change for Section A

Δy = f(1) - f(0) = 2(3)^1 - 2(3)^0 = 6 - 1 = 5

Δx = 1- 0 = 1

Plug the numbers in: Δy/Δx = 5/1 = 5

Therefore, the average rate of change for Section A is 5.  

Finding average rate of change for Section B

Δy = f(3) - f(2) = 2(3)^3 - 2(3)^2 = 2(27) - 2(9) = 54 - 18 = 36

Δx = 3 - 2 = 1

Plug the numbers in: Δy/Δx = 36/1 = 36

Therefore, the average rate of change for Section B is 36.  

Part B:

(a) How many times greater is the average rate of change of Section B than Section A?

If Section B is on the interval [2,3] and Section A is on the interval [0,1].  

For the function f(x) = 2(3)^x, the average rate of change of Section B is 7.2 times greater than the average rate of change of Section A.  

(b) Explain why one rate of change is greater than the other.  

Since f(x) = 2(3)^x is an exponential function the y values do not increase linearly, instead increase exponentially. In an interval with smaller x values the rate of change is lower than an interval with larger x values.

Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to each other in some order (such as Carol, Beryl, and Darryl, or Darryl, Beryl and Carol).

Answers

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)

A’= _ , _

B’= _ , _

C’= _ , _

Answers

Answer:

if it's only translated left 3, then it should be A (-5, -1) B (-1, -1) and C (-1, 2)

A. (-5,-1) B.(-1,-1) c (-1,2) is the answer

Which of the following satisfy x ≥ 4.1? Select all that apply.
x = 4
x = 3.5
x = 4.5
x = 4.1​

Answers

Answer:

x = 4.5

x = 4.1

Step-by-step explanation:

Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Group of answer choices 0.582 < p < 0.744 0.548 < p < 0.778 0.536 < p < 0.790 0.566 < p < 0.760

Answers

A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

The formula for calculating the confidence interval is expressed as;

[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]

p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645

Substitute the given parameters into the formula to have:

[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]

Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

Learn more on confidence interval here: https://brainly.com/question/15712887

Let f(x) = x^6( x − 8 )^7 / (x^2 +2)^2
Use logarithmic differentiation to determine the derivative.
f ' (x) =________

Answers

If

f(x) = x⁶ (x - 8)⁷ / (x² + 2)²

then taking the logarithm of both sides lets us expand the right side as

ln(f(x)) = ln(x⁶ (x - 8)⁷ / (x² + 2)²)

ln(f(x)) = ln(x⁶) + ln((x - 8)⁷) - ln((x² + 2)²)

using the property ln(ab) = ln(a) + ln(b).

We can also use the property ln(aⁿ) = n ln(a), so that

ln(f(x)) = 6 ln(x) + 7 ln(x - 8) - 2 ln(x² + 2)

Then differentiating both sides using the chain rule gives

f'(x)/f(x) = 6 x'/x + 7 (x - 8)'/(x - 8) - 2 (x² + 2)'/(x² + 2)

f'(x)/f(x) = 6 (1)/x + 7 (1)/(x - 8) - 2 (2x)/(x² + 2)

f'(x)/f(x) = 6/x + 7/(x - 8) - 4x/(x² + 2)

Solve for f'(x) :

f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) f(x)

and replace f(x) with the given function :

f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) • x⁶ (x - 8)⁷ / (x² + 2)²

We can expand the product :

f'(x) = 6 x⁵ (x - 8)⁷ / (x² + 2)²+ 7x⁶ (x - 8)⁶ / (x² + 2)² - 4x⁷ (x - 8)⁷ / (x² + 2)³

then simplify by factoring :

f'(x) = x⁵ (x - 8)⁶/(x² + 2)³  • (6 (x - 8) (x² + 2) + 7x (x² + 2) - 4x² (x - 8))

Simplify the rest :

f'(x) = x⁵ (x - 8)⁶ (9x³ - 16x² + 26x - 96)/(x² + 2)³

Solve for x (13x + 2) (5x - 7) (3x - 4)


Thank you

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

As we know, sum of interior angles of a triangle is 180°

that is ~

[tex] \sf13x + 2 + 5x - 7 + 3x - 4 = 180[/tex]

[tex] \sf21x - 9 = 180 [/tex]

[tex] \sf21x = 180 + 9[/tex]

[tex] \sf x = \dfrac{189}{21} [/tex]

[tex] \sf x = 9 \degree[/tex]

Hence, value of x is 9°

Answer:

x = 9

Step-by-step explanation:

Sum of interior angles is 180:

(13x + 2) + (5x - 7) + (3x - 4) = 18021x - 9 = 18021x = 189x = 189/21x = 9

Fid the value of the expression

Answers

Answer:

2

Step-by-step explanation:

The question askes what is k divided by m (k/m) when k is equal to 8 and m is equal to 4. So, plug the values into the original questions 8÷4.  This means that the number 8 is being split into 4 groups. When 8 is divided into 4 groups each group is left with 2. Therefore, the answer is 2.

Another way to solve this is to make a fraction. 8÷4 is the same as 8/4. If you simplify that fraction you also get 2.

Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?

Answers

The total cost of the trip Lisa wants to take over the weekend is $500.

Let the total cost of the trip be T.

Given the following data:

Savings account balance = $200Percent of trip expenses = 40%

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]

Total cost, T = $500.

Read more: https://brainly.com/question/2021001

165 of the city library members are children if there are 750 total members

Answers

Answer:

Step-by-step explanation:

Not sure what you require but (165/750) * 100

= 0.22 * 100

= 22% are children

Use logarithms to solve the equation 5^x = 3^(2x-1), giving your answer correct to 3 significant figures.

Answers

[tex]5^x = 3^{2x-1}\\\\\implies \ln(5^x) = \ln\left(3^{2x-1}\right)\\\\\implies x \ln 5 = (2x-1) \ln 3\\\\\implies x \ln 5 = 2x \ln 3 - \ln 3\\\\\implies 2x \ln 3 - x \ln 5 = \ln 3\\\\\implies x(2 \ln3 - \ln 5) = \ln 3\\\\\implies x =\dfrac{\ln 3}{2 \ln 3 - \ln 5} = 1.87[/tex]

The solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

To solve the equation 5ˣ = 3²ˣ⁻¹ using logarithms, we'll take the logarithm of both sides to bring down the exponent. Since the bases are different (5 and 3), we can use either the natural logarithm (ln) or the common logarithm (log base 10). Let's use the natural logarithm (ln):

Take the natural logarithm (ln) of both sides:

ln(5^x) = ln(3²ˣ⁻¹)

Apply the logarithm rule: ln(a^b) = b * ln(a):

x * ln(5) = (2x - 1) * ln(3)

Expand the equation:

x * ln(5) = 2x * ln(3) - ln(3)

Move the terms with "x" to one side of the equation:

x * ln(5) - 2x * ln(3) = -ln(3)

Factor out "x" from the left side:

x * (ln(5) - 2 * ln(3)) = -ln(3)

Solve for "x":

x = -ln(3) / (ln(5) - 2 * ln(3))

Now, we can calculate the value of "x" using a calculator:

ln(3) ≈ 1.099

ln(5) ≈ 1.609

x ≈ -1.099 / (1.609 - 2 * 1.099) ≈ -1.099 / (1.609 - 2.198) ≈ -1.099 / (-0.589) ≈ 1.864

Therefore, the solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

Learn more about natural logarithm from the link given below.

https://brainly.com/question/29154694

#SPJ2

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 59 kilograms. A
delivery of large boxes and 4 small boxes has a total weight of 149 kilograms. How much does each type of box weigh?
a

Answers

See the picture attached
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