The value of y is directly proportional to the value of x If y=81 when x=54, what is the value of y when x=38

Answers

Answer 1

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38


Related Questions

Which problem situation could be used to solve the open sentence below? p/12=? please help it’s overdueee

Answers

Answer:

Its B, If P is the total amount of $ you would divide by 12 to find the number of times she took the garbage out

Find the gradient of the line segment between the points (4,3) and (5,6​

Answers

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

Becky used 8 gallons of gas driving to visit her friend. Her car used gas at the rate of 24 miles per gallon. How far did she drive?

Answers

Answer:

192

Step-by-step explanation:

8 x 24 = 192

I'm very confused on what the answer to this one is​

Answers

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

P (-6, 3) Q(0, 6) R (6,6)

Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dollars, where n is the number of checks written by Noelle. In Micah's account, the monthly cost is proportional to the number of checks written. The monthly cost for Micah's account is $1.20 for writing 3 checks. How many checks must Noelle and Micah write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?

Answers

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = [tex]\frac{C'}{n}[/tex]

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = [tex]\frac{1.2}{3}[/tex]

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40

39/8 as a decimal... I've forgotten how to turn fractions into decimals ​

Answers

Answer:

4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's

Answer:

4.875

Step-by-step explanation:

Pretty simple, just divide the numerator by the denominator.

A blackboard has an area of 28 ft2 and a perimeter of 22 ft. What are the dimensions of the board?

Answers

Answer:

4 ft by 7 ft.

Step-by-step explanation:

7/8 ÷ 7/16 = Reduce your answer to the lowest terms.

Answers

I got 2/1= 2
You just divide and reduce

If the dimensions of a triangle are cut in ____, then the new perimeter is one-fourth of the original perimeter.

1. half
2. thirds
3. fourths

Answers

Answer:

Fourths

Step-by-step explanation:

If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.

work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]

Hope this helps.

give me a decimal to divide, substract and multiply. (3 of each)​

Answers

Answer:

Step-by-step explanation:

0.34/ 0.14

0.621/ 0.512

0.536/ 0.612

0.64 - 0.12

0.12 - 0.36

0.59 - 0.25

0.5123 x 0.51232

0.593920 x 0.0591923

0.59129 x 0.5919232

help neither me or my friend know how to do this

Answers

Answer:

X [tex]\leq[/tex] -5

Step-by-step explanation:

Answer:

x ≥ -6

Step-by-step explanation:

Here you go, this might help you

https://courses.lumenlearning.com/collegealgebracoreq/chapter/temp-4-review/

Estimate 12% of 77?

Answers

Answer: 9.24

Step-by-step explanation:

12*77 = 924

= 9.24

The answer to the given question is estimating 12% (percent) of 77, we get the answer 9.24.

To calculate 12% of 77 precisely, we can use the following formula: percent / 100 × given number

= 12% of 77

= (12/100) × 77

= 9.24

Therefore, 12% of 77 is 9.24.A percentage is a way of expressing a number as a fraction of 100. The symbol "%" is used to is used to indicate a percentage. For example, if we say that something is 25%, we mean that it is 25 out of 100 or 0.25 as a decimal. Percentages are used in many different areas, such as finance, statistics, and science. They can be used to represent proportions, rates of change, or as a way to compare different quantities. One common use of percentages is to calculate percentage change or increase. This is done by finding the difference between two values and expressing it as a percentage of the original value.

To learn more about Percentages click here

brainly.com/question/16797504

#SPJ1

See image for question.

Please show workings and diagrams.​

Answers

Answer:

a) 7 kmb) 298°

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

y = √(5² + 3² - 2*5*3*cos 135°) =  7 km (rounded)

b) Now using the law of sines find the measure of angle X:

7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)

The bearing of Z from X is:

270° + 28° = 298°

Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Even more trig ratios see attachment

Answers

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

16^2+KM^2=34^2256+KM^2=1156KM^2=900KM=30

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

solve for t i need help

Answers

Answer for t: t= 1/2

[tex]4(t+\frac{1}{4})=3[/tex]   distribute by multiplying 4 into the parenthesis.

[tex]4t+1 = 3[/tex]

    [tex]-1[/tex]   [tex]-1[/tex]     subtract 1 on both sides, solve for 3 - 1, which is 2.

__________

[tex]\frac{4t}{4} =\frac{2}{4}[/tex]     divide 4 on both sides.

[tex]t = \frac{2}{4}[/tex]       simplify 2/4.

[tex]t = \frac{1}{2}[/tex]       final answer

hope this helps :)


In an isosceles triangle, one side is 6 more than 3 times a number and the congruent side is 10 less than
5 times the same number, what is that number?

a.2
b.8
c.16
d. none of above

Answers

The answer would be B.

Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 32

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 38 - 35 = 41 - 38 = 3

This indicates the sequence is arithmetic with n th term ( explicit formula )

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 35 and d = 3 , then

[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32

4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from the graph of h to the graph
of k? A.) A reflection over the x-axis and a vertical
stretch
B.) A reflection over the x-axis and a vertical
compression
C.) A reflection over the y-axis and a vertical
compression
D.) A reflection over the y-axis and a vertical stretch

Answers

Answer:

A. A reflection over the x-axis and a vertical stretch.

Step-by-step explanation:

Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:

(i) Vertical stretch

[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]

(ii) Reflection over the x-axis

[tex]g(x) = -f(x)[/tex]

Let prove both transformations in [tex]h(x)[/tex]:

Step 1 - Vertical stretch ([tex]k = 4[/tex])

[tex]h'(x) = 4\cdot x^{2}[/tex]

Step 2 - Reflection over the x-axis

[tex]k(x) = -4\cdot x^{2}[/tex]

Hence, correct answer is A.

whts the factored answer

Answers

Step-by-step explanation:

x^2-25=

[tex] {x}^{2} - 25 = (x - 5)(x + 5) [/tex]

Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of
games, g, that Roberto can buy.
Inequality (use g as your variable):
Roberto can buy up to
video games.

Answers

Answer:

$200.00/$25.50 = g

Step-by-step explanation:

200.00 / 25.50 = 7 games

Help need answers to this asap

Answers

here it is we used the formula of the lateral area of the cylinder

a student wrote a proof about the product of two rational numbers:
Let x = a/b and let y = c/d, where a and c are defined to be integers, and b and d are nonzero integers.
By substitution, xy = ac/bd.
By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product xy?
A- the product xy is a nonzero Integer because nonzero Integers are closed on division.
B- the product xy cannot be an integer because bd is a nonzero Integer.
C- the product xy may be elther rational or Irrational because the values of a, b, c, and d are unknown.
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Answers

pretty sure that the answer is D

A rational number is a number that can be expressed as a fraction of integers.

The conclusion the student can make about product xy is that:

D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Given that:

[tex]x = \frac ab[/tex]

[tex]y = \frac cd[/tex]

The product xy is:

[tex]x \times y = \frac ab \times \frac cd[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

From the question, we understand that:

[tex]Integers \to a, c[/tex]

This means that, ac would be an integer (by closure property)

Also:

[tex]Non\ zero \to b,d[/tex]

This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]

The quotient of an integer and a non-zero integer is always be rational.

Hence, option (d) is correct.

Read more about rational numbers at:

https://brainly.com/question/15815501

Trigonometry can anyone help me out

Answers

Answer:

y = 11

x = 11 root 3

[tex]x = 11\sqrt{3} [/tex]

[tex]y = 11[/tex]

Step-by-step explanation:

Cos 60 =

[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]

[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]

Answer:

y = 11

x = 11 root \3

Step-by-step explanation:

What is the value of the expression
-3-(-4)?

Answers

Answer:

The value of this expression is -7

PLZZZ HELP WHAT IS THE AREA OF THIS TRAPEZOID?!?!?!

Answers

152 or 76 either one of those 2

Find the area of the figure below

Answers

Answer:

4.5 x 14 = 63

Explanation:

The area of a parallelogram is the product of any base and the altitude to that base: A = bh.

The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1

Answers

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Given that;

The given function is,

⇒ f (x) = x²

Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;

⇒ g (x) = (x - h)² + k

Where, (h,k) is the vertex of the parabola.

Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),

Therefore, the equation of parabola is,

⇒  g (x) = (x - 4)² + 1

Thus, The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

please help, i will give 20 points

Answers

4. Overall, there are 45 students.

13 students achieved a mark over 65

[tex]\frac{13}{45} *100[/tex] = 29%

Therefore the answer is b. 29%

5. b is incorrect.

This is because retrievers account for 10% of the dogs, not 15%.

100%-(35% + 45% + 10%) = 10%

Other Questions
find the value of given expression[tex] \sqrt{8100} [/tex] Clyde bought a belt for $25 at a tax rate of 5%. He also bought a shirt $14 at a tax rate at 5%. What is the sum, in dollars, that he will pay including tax? Certain viruses have a unique reproductive strategy: they use RNA to create DNA by usingan enzyme called reverse transcriptase. HIV (human immunodeficiency virus) belongs to this class of viruses. What is this type of virus called?RetrovirusReverse VirusLyric VirusLysogenic Virus Your class has adopted two equal sections of a highway to keep clean. The combined length is 6/7 of a mile. How long is each section?A.) 1/7 mileB.) 3/7 mileC.) 1/6 mileD.) 9/11 mile what is the solution to the inequality What is the difference between natural selection and selective breeding? Then, give examples of natural selection and selective breeding? WHO WANTS TO WALK WITH MEEEEEEEEEEE who refused to continue their journey to freedom? harriet tubman Do you think the minimum wage should be increased why or why not Today I need help in EnglishHere is the second pageI will be giving out points all day(and brainliest)(If you know the answer please answer my first question)First, choose two sources from each of the research documents provided on this page, and summarize each source below, in your own words. Be sure to include the title of each source in your summary.Second Page:Source: Acceptability of smartphone technology to interrupt sedentary time in adults with diabetesAbstractBreaking up sitting time with light- or moderate-intensity physical activity may help to alleviate some negative health effects of sedentary behavior, but few studies have examined ways to effectively intervene. This feasibility study examined the acceptability of a new technology (NEAT!) developed to interrupt prolonged bouts (20 min) of sedentary time among adults with type 2 diabetes. Eight of nine participants completed a 1-month intervention and agreed that NEAT! made them more conscious of sitting time. Most participants (87.5 %) expressed a desire to use NEAT! in the future. Sedentary time decreased by 8.1 4.5 %, and light physical activity increased by 7.9 5.5 % over the 1-month period. The results suggest that NEAT! is an acceptable technology to intervene on sedentary time among adults with type 2 diabetes. Future studies are needed to examine the use of the technology among larger samples and determine its effects on glucose and insulin levels.DISCUSSIONThe current study suggests that the NEAT! technology is a feasible and acceptable tool to intervene on sedentary time among adults with type 2 diabetes, who may be unduly adversely affected by excessive sitting. Participants used the technology for an average of 21 days over a 1-month period and indicated that using the technology made them more aware of how much time they spent sitting. Furthermore, the majority of individuals agreed that they would use the technology in the future if it were available, further suggesting NEAT!s acceptability. As smartphone usage in the USA continues to rise, this ubiquitous technology may provide an opportunity to intervene to improve the health of a large proportion of the population.CONCLUSIONSGiven the expected rise in the prevalence of diabetes in the USA, as well as the strong detrimental association between sedentary time and insulin or glucose levels, innovative approaches are needed to break up prolonged sedentary behavior among the large proportion of the population affected by diabetes. The results of this study suggest that the NEAT! technology is an acceptable tool for use by adults with type 2 diabetes. Additional refinement of the technology is needed further to optimize improvements in sedentary time, physical activity, and breaks in sedentary behavior. Examination of longer-term effects of using the technology on glucose and insulin levels is also warranted. One-half cup is 4 fluid Ounces. How many fluid Ounces will 7% cups be? Why is meiosis considered sexual reproduction? Enter an equation in the form y=mx+b that represents the function described by the graph What Asian physical feature is represented by #7? Maria buys 4 1/5 pounds of plums. The total cost after using the coupon for 55 cents off her entire purchase is 3.23$. If c represents the cost of the plums in dollars per pound, what equation could represent the situation? name any TWO markets within the four-sector circular flow model Cameron is selling boxes of cookies. His goal is to sell more than 5 boxes. Which graph shows how many boxes Cameron must sell in order to reach his goal? PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry Un da de compras El sbado pasado mi hermano y yo (1) nos(despedirse) ____________________ de mi madre temprano y fuimos de compras. Despus de dos horas en la tienda de ropa, mi hermano (2)(conseguir) _________________ una sudadera y una gorra. Yo (3) (elegir)________________ unas gafas de sol, un impermeable y un bolso que est de moda. La dependienta nos (4) (medir) ________________ la talla a mi hermano y a m. Al final, la dependienta nos (5) (pedir)_________________ una tarjeta de crdito, pero nosotros pagamos en efectivo. A mi hermano y a m nos gust ir de compras juntos. Choose one of the following projects as your extended writing assignment for this unit.1. Write a biography (750 to 1,000 words) of one of the presidents listed below. Include his political philosophy and theprograms Instituted during his time in office.2. Draw a Presidential blography of one of the presidents listed below, showing his life in pictures. Under each picture of amajor aspect of his life, write a short description of that part of his life.Choose from this list of presidents: Theodore Roosevelt Woodrow WilsonWarren G. HardingCalvin Coolidge Herbert Hoover Franklin Delano Roosevelt3. Use resource Information on World War I to write an essay describing the commanders, strategy and outcome of eachmajor battle.4. You learned that a large percentage of Immigrants from Ireland, Germany, and England came to the United States in themid to late 1800s. Using the Internet and other sources, determine why these people flocked to the United States In suchlarge numbers. Identify cities where they settled and the impact they had on the cities.