What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?

Answers

Answer 1

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29


Related Questions

simplify 2√2-3/√2+4/√8​

Answers

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?

Answers

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

9x-5
14x+24 A

Determine the value of x.

A) x = 32.2
B) x = -5.8
C) x = -7
D) x = 7​

Answers

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.

Answers

Using the binomial distribution, we find that:

a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

c) The mode is of 7.5 hurricanes.

For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

It gives the probability of exactly x successes on n trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mode of the number of trials needed for q successes is given by:

[tex]M = \frac{q}{p}}[/tex]

In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].

Item a:

This is the probability of at most 1 damage in 3 hurricanes, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

With [tex]n = 3[/tex].

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]

[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]

0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

Item b:

1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.

Then

[tex]0.432(0.4) = 0.1728[/tex]

0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

Item c:

Damage from 3 hurricanes, thus q = 3.

Then:

[tex]M = \frac{3}{0.4}} = 7.5[/tex]

The mode is of 7.5 hurricanes.

A similar problem is given at https://brainly.com/question/24923631

PLEASE HELP ME!! ILL GIVE BRAINLIEST!!

Kate is making hamburgers for her friends and has 7 1/2. pounds of hamburger. How many 1/4 pound of hamburgers can she make?


A. 15
B. 4
C. 30
D. 120​

Answers

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]

[tex]\\ \sf\longmapsto 30[/tex]

What is the product of (3y^-4)(2y^-4)

6/y^6
1/6y6
6/y16
1/6y16

Answers

Answer is 1/6y16 that’s the answer

Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.

Answers

Answer:

No! Both are wrong!

Step-by-step Explanation:

the value of absolute function, (|.|) is always positive

that means -6x always has to be positive

and for -6x to be positive x has to be negative

(since, two negatives make a positive)

therefore, the value of x to the equation will be a negative value and not a positive one.

Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.

ONLY negative value of x will be the solution.

Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term ​

Answers

Answer:

Step-by-step explanation:

You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you

whats 4(-2-9.2x)=3(2-7.6x) solve for x

Answers

Answer:

x = -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]

Step 2: Add 22.8x to both sides.

[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]

Step 3: Add 8 to both sides.

[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]

Step 4: Divide both sides by -14.

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

Therefore, x = -1.

The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.

What is the solution to the equation?

Given the equation in the question:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

4 × -2 + 4 × -9.2x  = 3( 2 - 7.6x )

-8 - 36.8x = 3( 2 - 7.6x )

-8 - 36.8x = 3 × 2 + 3 × -7.6x

-8 - 36.8x = 6 - 22.8x

Collect like terms:

-8 = 6 - 22.8x + 36.8x

-8 - 6 = - 22.8x + 36.8x

Add like terms:

-14 = 14x

14x = -14

Divide both sides by 14:

x = -14/14

x = -1

Therefore, the value of x is -1.

Learn more about equations here: brainly.com/question/14686792

#SPJ3

Which glide reflection describes the mapping triangle ABC to triangle DEF?

Answers

i think it’s B! good luck on the rest of your math!!

PLEASE HELP ME, GUYS!

Answers

Answer:

Okay I got youuu

Step-by-step explanation:

From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.

The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!

Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?

Answers

Answer:

He poured 2.5 liters into each container

Step-by-step explanation:

Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.

a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?

Answers

Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

(2) Below is the graph of a function, y = f (x).

(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)

(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.

Answers

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.


A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.

Answers

(3p-p)/(2-(-8))= -3

2p/10= -3

2p= -30

p= -15

Answer:

-15

Step-by-step explanation:

Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,

[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]

Substituting the respective values ,

[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)

Simplify ,

[tex]\longrightarrow[/tex] -3 = -2p/-10

[tex]\longrightarrow[/tex] -3 = p/5

[tex]\longrightarrow[/tex] p = 5 * -3

[tex]\longrightarrow[/tex] p = -15

Hence the value of p is -15 .

Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?​

Answers

Answer:

Martha will walk 1.125 miles.

Step-by-step explanation:

3/4 = 0.75

1.5 * 0.75 = 1.125

solve the attached question.
NO spam!
Step by step explanation needed!​

Answers

Step-by-step explanation:

hi I need help please, you can help me?

4 consecutive integers of 182

Answers

44,95,96,97

Step-by-step explanation:

first just do gcf and find your numbers with x

.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?​

Answers

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]

[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]

Take LCM of 3 & 5 is 15.

[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]

[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]

[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]

Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?

A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x

Answers

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimeters

If the actual width of the caliper is represented as x

The measurement error is an absolute value which can be calculated thus :

|Actual value - measured value| = absolute error

|x - 14.5| = 0.02

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

Learn more : https://brainly.com/question/15748955

HELP ME PLEASE AND HURRY

the sum of a rational number and a rational number is rational.

-ALWAYS true
-SOMETIMES true
-NEVER true

Answers

thae answer is something true

you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?

Answers

Answer:

Step-by-step explanation:

It will take 6weeks for you to have$150

Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?

Answers

Answer:

1.33

Step-by-step explanation:

Divide 3 by 3, making it one.  Now divide 4 by 3, making it 1.33.

whats 332.23 (234.320)

Answers

Answer:

The answer is 77848.1336

solve include real and non real solutions.
x^2-8=0

Answers

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

Distributive property 79x36

Answers

Answer:

1(79 x 36)

Step-by-step explanation:

Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?

Answers

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?

Answers

Answer:

.30times 28.99=$8.697

Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink

Answers

Answer:

a

Step-by-step explanation:

wht not

Am i right on this one?

Answers

Answer:

yes

Step-by-step explanation:

brainliest please

Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right

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