When y varies directly as x and x = 2 when y = 6.
What is the value of x when y = 10

Answers

Answer 1

Answer: its 15

Step-by-step explanation:


Related Questions

Liquid A and liquid B are mixed together in the ratio 4:11 by volume to make

liquid C.

Liquid A has density 1. 05g/cm

Liquid B has density 1. 27 g/cm

A cylindrical container is filled completely with liquid C.

The cylinder has radius 5 cm and height 20 cm.

Work out the mass, in g, of the liquid in the container.

Give your answer correct to 3 significant figures.

Answers

The mass of the liquid in the container is 18.17 g, correct to 3 significant figures

Calculate the volume of the container:

Volume = πr2h

Volume = π x (5 cm)2 x 20 cm

Volume = 3,142 cm3

Calculate the total volume of liquid A and B:

Total volume of A and B = 4:11

Total volume of A and B = 4 + 11 = 15 cm3

Calculate the volume of liquid A:

Volume of A = 4/15 x 15 cm3

Volume of A = 4 cm3

Calculate the volume of liquid B:

Volume of B = 11/15 x 15 cm3

Volume of B = 11 cm3

Calculate the mass of liquid A:

Mass of A = Volume of A x Density of A

Mass of A = 4 cm3 x 1.05 g/cm3

Mass of A = 4.2 g

Calculate the mass of liquid B:

Mass of B = Volume of B x Density of B

Mass of B = 11 cm3 x 1.27 g/cm3

Mass of B = 13.97 g

Calculate the total mass of liquid C:

Total mass of C = Mass of A + Mass of B

Total mass of C = 4.2 g + 13.97 g

Total mass of C = 18.17 g

The mass of the liquid in the container is 18.17 g, correct to 3 significant figures.

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Solve each trigonometric function IN THE INTERVAL [0, 2).

sin(x) + 1 = cos(x)

Answers

The solution of the trigonometric function sin(x) + 1 = cos(x) in the interval of [0, 2) will be 0.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The trigonometric function is given below.

sin(x) + 1 = cos(x)

Simplify the equation, then we have

sin(x) + 1 = cos(x)

(sin(x) + 1)² = cos² (x)

(sin(x) + 1)² = 1 - sin² (x)

sin² (x) + 2sin x + 1 = 1 - sin² (x)

2sin² (x) = 0

sin (x) = sin 0

x = 0

The solution of the trigonometric function sin(x) + 1 = cos(x) in the interval of [0, 2) will be 0.

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Need help brainliest explination

Rick and his dad are making rock candy. The first step is to pour sugar into boiling water. So, Rick opens a 3-cup bag of sugar. Rick's dad pours 2 cups into the water.

What fraction of the bag of sugar does Rick's dad pour into the water?

Answers

The fraction of the bag of sugar that Rick's dad pour into the water is 2/3

What is an equation?

An equation is an expression that shows the relationship between numbers and variables.

Fractions is a part of a whole number. It is the ratio of two numbers. The top number is the numerator while the bottom number is the denominator. Hence:

Fraction = numerator / denominator

Rick opens a 3-cup bag of sugar. Rick's dad pours 2 cups into the water. Hence:

Fraction of sugar poured into water = amount of sugar poured in water / total amount of sugar

Substituting:

Fraction of sugar poured into water = 2 cups / 3 cups = 2/3

Ricks dad pour 2/3 of the sugar into the water

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A cheetah travels
90 feet in 7 seconds.
How fast is that?

??? feet per second

Answers

The speed of the cheetah based on the information provided is 12.85 feet per second.

How to calculate the speed of the cheetah?

The speed of a body in movement can be expressed using different units such as:

kilometers per hour = km/hfeet per second= ft/smeter per minute = m/m

Based on this, it is necessary to find how much distance the cheetah covers every second by dividing the distance given by the time given as it follows:

90 feet / 7 seconds=12.85 feet per second

Therefore, the speed of the cheetah is 12.85 feet per second

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Joanne made emi-annual depoit of ₱820 into a aving account with an interet of 5% compounded emi-annually. How much i the account balance after eleven year?

Answers

The account balance after eleven years would be ₱14,925.08. Calculate the future value of the account: FV = PV x (1 + r)^n = 820 x (1 + 0.025)^22 = ₱14,925.08. total number of semi-annual periods: 11 years x 2 semi-annual periods per year = 22 semi-annual periods.

The account balance after eleven years would be ₱14,925.08.

1. Calculate the compounded interest rate: 5% per year compounded semi-annually = 2.5% per semi-annual period.

2. Calculate the total number of semi-annual periods: 11 years x 2 semi-annual periods per year = 22 semi-annual periods.

3. Calculate the future value of the account: FV = PV x (1 + r)^n = 820 x (1 + 0.025)^22 = ₱14,925.08.

The account balance after eleven years would be ₱14,925.08.

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Ken Made $14,500 in five months at his new job.How much can he expect to make in two years if his pay remains constant.

Answers

If Ken's pay remains constant, he should expect to earn $69,600 in two years.

What is a proportional relationship?

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

y represents the wages.x represents the time in months.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) for the data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 14,500/5

Constant of proportionality, k = 2,900

In two (2) years, Ken's wages is given by:

y = kx

y = 2,900(24)

y = $69,600.

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Lucy ha a trawberry lace that i 36cm long. She need piece 18mm long to decorate a cake

Answers

The length of the strawberry lace Lucy has is 36cm, and she needs a piece 18mm long for her cake decoration.

To calculate how many pieces of the strawberry lace she needs, we must convert the measurements from centimeters to millimeters.

We can do this by multiplying 36 centimeters by 100 to get the length of the lace in millimeters (36 cm x 100 = 3600 mm). We then divide this number by the length of the desired piece (3600 mm / 18 mm = 200). Therefore, Lucy needs 200 pieces of 18mm long strawberry lace to decorate her cake.

To summarize, the formula used to calculate the number of pieces Lucy needs is:

(Length of lace in millimeters) / (Length of desired piece in millimeters) = Number of pieces needed.

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39-3×12²÷24 please solve and show steps

Answers

Answer:

To solve the equation:

39 - 3x12²÷24

Step-by-step explanation:

First, we need to simplify the expression inside the parentheses:

12² = 12*12 = 144

Then we can substitute that value into the equation:

39 - 3x144÷24

Next, we can simplify the expression inside the parentheses:

144÷24 = 6

Then we can substitute that value into the equation:

39 - 3x6

Now we can solve the equation by performing the multiplication and subtraction:

39 - 18 = 21

So the solution is 21.

Steps:

1. 12² = 144

2. 144÷24 = 6

3. 39 - 3x6 = 39 - 18 = 21

So, 39-3*12²÷24 = 21

Answer:

36

Step-by-step explanation:

39 - 3 x [tex]12^{2}[/tex] ÷ 24  First simplify the exponent

39 - 3 (12 x12) ÷ 24

39 - 3 x 24 ÷ 24  Next do multiplication and division going from left to right

39 - 72 ÷ 24

39 - 3  Subtract 3

36

-4t + 14 = -9t + 24
what value of t makes the equation true

Answers

Answer: t=2

Step-by-step explanation:

-4t+14= -9t+24

+9t     =+9t

5t+14=24

    -14=-14

5t=10

5t/5       10/5

t=2

You borrowed $95 for 1 year at 5. 2% interest that is compounded semi annually. What will you pay back in full

Answers

You will pay back $100.00

We know that the formula for the compound ineterst:

[tex]A = P(1 +\frac{r}{n})^{nt}[/tex]

where, A = Accrued amount

P = Principal amount

r = interest rate as a decimal

R = interest rate as a percent

r = R/100

n = number of compounding periods

t = time in years

First, convert R as a percent to r as a decimal

r = 5.2/100

r = 0.052 rate per year,

Now we solve the equation for A

[tex]A = P(1 +\frac{r}{n})^{nt}[/tex]

[tex]A = 95\times (1 +\frac{0.052}{2})^{2\times 1}[/tex]

A = 95.00 × (1 + 0.026)²

A = 100.004

A ≈ 100

Therefore, the total amount accrued with compound interest on a principal of $95.00 at a rate of 5.2% per year compounded semi annually is $100.00.

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If α and β are the zero of the quadratic polynomial p(x)=4x 2 −5x−1, find the value of α 2 ββ2 α

Answers

The value of α2ββ2α2 is -20. a quadratic polynomial p(x) = 4x2 − 5x − 1, we can calculate the two zeroes, α and β, of the equation.

Given,

p(x) = 4x2 − 5x − 1

α and β are the zeroes of the quadratic polynomial p(x).

Therefore,

α + β = -5/4

and

αβ = 1/4

Therefore,

α2ββ2α2 = (α+β)2αβ = (-5/4)2(1/4) = (-5/4)(-5/4)(1/4) = 25/16 = -20

Given a quadratic polynomial p(x) = 4x2 − 5x − 1, we can calculate the two zeroes, α and β, of the equation. To find the value of α2ββ2α2, we first need to find the sum and product of the two zeroes, which can be done by solving the equation. The sum of the zeroes is -5/4 and their product is 1/4. We can then use these values to calculate the value of α2ββ2α2, which is equal to (-5/4)2(1/4) = 25/16 = -20. Thus, the value of α2ββ2α2 is -20.

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Aaliyah and her children went into a bakery and will buy donuts and brownies. She must buy a minimum of 11 donuts and brownies altogether. Write an inequality that would represent the possible values for the number of donuts purchased, � d, and the number of brownies purchased, � . b.

Answers

The required inequality is d + b ≥ 11 representing the possible values for the number of donuts and brownies purchased.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We can represent the number of donuts purchased as d, and the number of brownies purchased as b. The inequality that represents the minimum number of donuts and brownies that must be purchased altogether is:

d + b ≥ 11

This inequality states that the total number of donuts (d) and brownies (b) purchased must be greater than or equal to 11.

This inequality can be represented graphically on a number line, with point 11 being the boundary between the solutions that satisfy the inequality and those that do not.

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nareh ave r.300. hi brother ureh ave r.220. how much money mut nareh gave hi brother o that both of them will have the ame amount of money

Answers

Nareh should give his brother $80. This means that once they have the same amount of money, Nareh will have $220 and Urch will have $300.

Subtract the amount of money that Urch has from the amount of money that Nareh has:

300 - 220 = 80

Nareh should give his brother $80 so that both of them will have the same amount of money.

Nareh currently has $300 and Urch currently has $220, so Nareh should give Urch $80 in order to make them have the same amount of money. This means that once they have the same amount of money, Nareh will have $220 and Urch will have $300.

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In 1985 Mat Biondi set a record for the men's 100 m freestyle event. It took him 49. 17 s to finish the race. What was his average speed to the nearest hundredth?

Answers

The average speed is S=2.033 m/s

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time.

The unit of speed is a meter/second.

Speed formula can be used to find the speed of objects, given the distance and time taken to cover that distance.

To calculate the average speed we have a general formula:

speed = distance ÷ time.

Given distance=100m

time=49.17 s

Plugging the values in the above formula:

speed=100/49.17

speed=2.033

Therefore, the average speed is 2.033 m/s.

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Tell whether each function is written in standard form. If not, rewrite it
in standard form.
1. y = 3x
2. 7-y = 5x + 11
Given a gla
3. -2(x+y)+9=1

Answers

Answer

1: 3x-y=0
2: 5x+y= -4
3: y=-x+4

Step-by-step explanation:

Find the distance between the points ( – 18,11) and ( – 18, – 19).

Answers

Answer: 15.4

Step-by-step explanation: d= [tex]\sqrt{(-18)^{2} - 18^{2}) +((-19)^{2} - 11^{2})\\[/tex]

[tex]\sqrt{361 - 121}[/tex]

[tex]\sqrt{240}[/tex]

15.4

in a school of 330 students,85 of them are in the drama club 200 of them are in a sports team and 60 students do drama and sports

Answers

Answer: There would be 345 students because 85+200+60=345

Step-by-step explanation: it equal 245

A dozen long stemmed roses cost $48 What is the cost per rose?

Answers

The cost per rose is $4

A dozen roses = 12 roses

Since the total cost is $48 then you’re going to multiply it by a dozen (12)

ANSWERRRR : $4

Answer:

$4

Step-by-step explanation:

Given;

Dozen long stemmed roses cost $48

Question:

What is the cost per rose?

Solve:

Based on the given, we can see that it states that a dozen long stemmed roses cost $48.

Knowing that - Dozen = 12

Since, we know that dozen equal 12. Hence, 12 long stemmed roses cost $48.

Now, divide the cost by the amount to find the cost per rose.

Thus,

48 ÷ 12 = 4.

Therefore, the cost per rose is $4.

RevyBreeze

Cost of carpeting a floor 2.50 per square feet how much will it cost to carpet a rectangular floor 10 feet by 12 feet

Answers

Answer: It would cost a total of 48

Explanation: To find the cost of the 10 by 12, you first need to multiply them together and then divide by the cost of carpet per square foot. 10x12 is 120

And 120 divided by 2.50 is 48

What equation do you get when you solve sy-nd= dy/g for y? Please show work thank you!!

Answers

yes info i just get on its website to it so its all there and you can see

Simplify the expression.

-2. 6f +0. 7f-14-9

- 2. 6f +0. 7f-14-9 =

(Simplify your answer. Use integers or decimals for any numbers in the expression. )

what’s the answer

Answers

The simplified form of expression -2.6f +0.7f - 14 - 9 is -1.9f - 23

We know that an expression is nothing but a mathematical statement that consists of at least two terms( variables or constants) along with one algebraic operation.

As we know simplifying an expression means rewriting the same expression in a compact manner with no like terms.

To simplify expressions, we combine all the like terms ; solve all the given brackets, if any.

In the simplified expression, we left with unlike terms which cannot be reduced further.

Consider an expression:

-2.6f +0.7f - 14 - 9

We simplify above expression.

-2.6f +0.7f - 14 - 9

= (-2.6 + 0.7)f - (14 + 9)              .........(combine like terms)

= -1.9f - 23

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Serenity is going to invest in an account paying an interest rate of 4.4% compounded continuously. How much would Serenity need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 11 years?

Answers

Serenity is going to invest in an account paying an interest rate of 4.4% compounded continuously therefore Serenity would need to invest $400 to the nearest hundred dollars, for the value of the account to reach $670 in 11 years.


What is Compound interest?

This is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

We can solve the problem by :

1+(0.044÷365)= 1.0001205479

Yearly impounding factor, 1.0001205479^365=1.0449795838

For a period of 11 years, maturity factor,1.0449795838^11 = 1.6225043167.

$1 becomes $1.6225043167.

If Maturity value is to be,$670 which is amount to be invested,

670÷ 1.6225043167 = 412.942

To the nearest 100 dollars is $400.

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a survey for kindergartners asked about their favorite color. the children were asked to check the box corresponding to blue, red, green, yellow, or orange. what is the scale of measurement for this question? group of answer choices ordinal interval nominal ratio

Answers

Nominal scale- A nominal scale is a discrete classification of data, in which data are neither measured nor ordered but subjects are merely allocated to distinct categories.

Measurements on an interval scale have substantial differences between the values. In other words, the disparities between the scale's points are exact and measurable.

Ratio scales are interval scales where lengths are expressed in relation to a rational zero.

Ordinal scale: a scale where data is presented merely in terms of order of magnitude because there is no accepted method for determining differences.

Since there are 5 categories: Blue, Red, Green, Yellow, Orange, so by the above definition we can say that for this question we would use Nominal scale for measurement.

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Need help with 1-6 pls

Answers

1. The value of n in 3n + 19 = 28 will be 3.

2. The value of b in 34 - 4b = 18 will be 4.

How to calculate the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The value of n in 3n + 19 = 28 will be:

3n + 19 = 28

Collect the like terms

3n = 28 - 19

3n = 9

Divide

n = 9 / 3

n = 3.

The value of b in 34 - 4b = 18 will be:

34 - 4b = 18

4b = 34 - 18

4b = 16

Divide.

b = 16 / 4

b = 4

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Which of the following functions maps 3 to -6?
O f(x)=x-3
O f(x)=3-1²
O f(x)=3-x
O f(x)= x + 3

Answers

Answer:

A

Step-by-step explanation:

Pleaseee help 20 points
Maria read 9 books over summer vacation. Jim read b more books than Maria. Choose the
expression that shows how many books Jim read.

A) 9
B) b - 9
C) 9 + b
D) 9 - b

Answers

Answer:

c

Step-by-step explanation:

it wouldnt just be 9, thats marias books, to get what jim ahs and hers its 9+b

b representing the amount jim read

find the probability that a randomly selected bank has an overdraft fee greater than $25. (use decimal notation. give your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

On a certain hot summer's day, 544 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $964.00. How
many children and how many adults swam at the public pool that day?

Answers

Answer:

248 children

296 adults

Step-by-step explanation:

Define the variables:

Let x = number of children using the public pool.Let y = number of adults using the public pool.

Given information:

A total of 544 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totalled $964.00.

Create a system of equations with the given information and defined variables:

[tex]\begin{cases}\;\;\;\;\:\:\:x+y=544\\1.5x+2y=964\end{cases}[/tex]

Rearrange the first equation to isolate x:

[tex]\implies x=544-y[/tex]

Substitute the found expression for x into the second equation and solve for y:

[tex]\implies 1.5(544-y)+2y=964[/tex]

[tex]\implies 816-1.5y+2y=964[/tex]

[tex]\implies 816+0.5y=964[/tex]

[tex]\implies 0.5y=148[/tex]

[tex]\implies y=296[/tex]

Therefore, 296 adults swam at the public pool.

Substitute the found value of y into the equation for x and solve for x:

[tex]\implies x=544-296[/tex]

[tex]\implies y=248[/tex]

Therefore, 248 children swam at the public pool.

mr. brown went grocery shopping to buy meat for his annual office picnic. he bought 7 3 4 pounds of hamburger, 17.85 pounds of chicken, and 6 1 2 pounds of steak. how many pounds of meat did mr. brown buy?

Answers

There are 32.1 pounds of meat.

Addition is an operation used in math to add numbers. The result that is obtained after addition is known as the sum of the given numbers. The addition symbol is one of the widely used math symbols. The addition symbol consists of one horizontal line and one vertical line. It is also known as the addition sign or the plus sign (+). The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum. This can be understood with the help of the example shown in the figure given below. While adding numbers, if the sum of the addends is greater than 9 in any of the columns, we regroup this sum into tens and ones. Then we carry over the tens digit of the sum to the preceding column and write the ones digit of the sum in that particular column. In other words, we write only the number in 'ones place digit' in that particular column, while taking the 'tens place digit' to the column to the immediate left.

Add up the pounds of meat.

7.75 + 17.85 + 6.5 = 32.1 pounds

Thus, there are 32.1 pounds of meat.

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Find the coordinates of the vertices after a 90 rotation about the origin and about each of the points​ L, M, and N

Answers

After clockwise rotation 90°, we obtain vertices of image as (-2, -2), (-3, -6) and (3, -4). Therefore, option D is the correct answer.

What is rotation rule of 90°?

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Given that, triangle LMN with vertices L(2, -2), M(6, -3) and N(4, 3).

After clockwise rotation 90° we get

Here, L(2, -2) →L'(-2, -2)

M(6, -3) →M'(-3, -6)

N(4, 3) →N'(3, -4)

Therefore, option D is the correct answer.

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