A class has 6 boys and 15 girls. What is the ratio of boys to girls in simplest form?

Answer:

2

Step-by-step explanation:

→ Find the scale factor

12 ÷ 7.5 = 1.6

→ Form an equation

x + 6 = 1.6 ( 2x+ 1 )

→ Solve

x = 2

Answer:

-5 and -6

Step-by-step explanation:

xy=30, x+y=-11

\(x = - 11 - y\)

\(( - 11 - y)y = 30\)

\( - y ^{2} - 11y - 30 = 0\)

\(y {}^{2} + 11y + 30 = 0\)

\((y + 5)(y + 6) = 0 \)

\(y = - 5 \: or \: - 6\)

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

Learn more about the piecewise function here:

https://brainly.com/question/12700952

#SPJ1

Answer:

300-26=274

The opera

Step-by-step explanation:

hope helps

Answer:

\(\boxed{Option \ B}\)

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = \(\frac{Adjacent}{Hypotenuse}\)

Cos B = 12/13

If the triangle is just like in the attached file!

Answer:

B) 12/13

Step-by-step explanation:

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

Learn more about  Role Strain from

https://brainly.com/question/14283116

#SPJ1

Answer:

D. all real numbers

Step-by-step explanation:

The domain is all the x's on a graph or that are permitted in an equation (if you have an equation instead of a graph)

If there is nothing on the graph to indicate the graph is a segment (endpoints that are either closed or open) or has other holes in it (literally a point on the line that is open) then the domain for a linear function (a line) is always all real numbers. The same is true for all of the above for the range as well, except the range is all the y's

Equation s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.

How to form an equation for a word problem?

Follow these steps:

Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.

Translate the problem to an equation. Assign a variable (or variables) to represent the unknown.

Carry out the plan and solve the problem.

According to the given question:

Leslie's most recent order included a total of 6 bracelets.

It takes 12 stone to make one bracelet.

Let the total number of stones be s.

If one bracelet requires 12 stones then 6 bracelets requires 12 x 6 stones

Therefore, s = 12 x 6 or s/12 = 6

On solving to get value of s we get 12 x 6 = 72 stones.

Hence s/12 = 6 represents the equation on how many stones were used for the order. On solving we get 72 stones.

Complete question:

Leslie creates designer bracelets with gemstones. Her most recent order included a total of 6 bracelets. It takes 12 stone to make one bracelet.

Write and solve an equation that represents how many stones were used for the order.

To know more about equation formation visit

https://brainly.com/question/2014340

#SPJ1

Answer:

14

Step-by-step explanation:

All you do is divide 56 by 1/4 which will give you 14.

to check you can mulitply 14 times 4 and you will get 56.

69 ÷ 7 = 9 r6

hope it helps.

Answer:

8.25

Step-by-step explanation:

55=100%

x=15%

100x=55*15

100x=825

x=8.25

or

15/100*55

0.15*55

8.25

Answer:

----

Step-by-step explanation:

1.(-44)-(-19)=19-44=-25

2.(+3)-(+10)=3-10=-7

3.(+22)-(+4)=22-4=18

-hope it helps

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

For more questions on quotient

https://brainly.com/question/11418015

#SPJ8

The value of variables a and b are,

a = - 4,

b = - 2

WE have to given that;

Function is,

⇒ f (x) = x³ - 12x² + 48x - 62

Now, We can simplify for change the function in the form of

f (x) = (x + a)³ + b as;

⇒ f (x) = x³ - 12x² + 48x - 62

⇒ f (x) = x³ - 12x² + 48x - 62 - 2 + 2

⇒ f (x) = (x - 4)³ + 2

Hence, We get;

By comparing we get;

a = - 4,

b = - 2

Thus, The value of variables a and b are,

a = - 4,

b = - 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

1539.38cm³

Step-by-step explanation:

V=πr2h=π·72·10≈1539.3804cm³

Answer:

11/10

Step-by-step explanation:

yay a good question

slope between points is

x2-x1/y2-y1

-7-4 = -11

-2-8=-10

11/10 is the answer

Determine the slope of the line passing through the points (4, 8) and (-2, -7).

From inspection on the given problem:

To calculate the slope of the line passing through the given points, we must use the formula below:

Substitute the given values into the slope formula and solve for m:

\( \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{- 7 - 8}{ -2 - 4} = \dfrac{ - 15}{ - 6} = \bold{-\dfrac{15}{6}}}\)

Therefore, the slope of the line passing through the given points is \(-\dfrac{15}{6}\).

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

For more such questions on logarithm

https://brainly.com/question/30128287

#SPJ8

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

The volume of the cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height:

V= πr²h = π(4cm)²(10cm) = 160π cm³

The density of the material is given by the mass per unit volume:

density = mass/volume = 500g / 160π= π(4 cm)²(10 cm)

= 160π cm³

The mass and volume are related by density (ρ), which is defined as mass per unit volume:

ρ = m/V

where m is the mass and V is the volume.

Substituting the given values, we get:

ρ = 500 g / 160π cm³

ρ ≈ 0.988 g/cm³

Therefore, the density of the material the cylinder is made of is 0.988 g/cm³.

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

Learn about interest rate here https://brainly.com/question/30512587

#SPJ9

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x

Step-by-step explanation:

hope this helps if not let me know

In total, the theater seats 1442 people.

Given : The number of rows in the theater = 26

The number of chairs in first row = 18

The number of rows in the second row = 21

The number of rows in the third row = 24

The common difference in the number of chairs for the consecutive rows \(=3\)

Thus its a Arithmetic progression.

Let n be the number of rows and d be the common difference , then the total number of chairs in n rows is given by:

\(\text{S}_{\text{n}}=\dfrac{\text{n}}{2}(2\text{a}+(\text{n}-1)\text{d})\), where a is the umber of chairs in first row .

Put a = 18, d = 3 and n = 26, we get

\(\text{S}_{\text{26}}=\dfrac{\text{26}}{2}(2(18)+(26-1)\text{3})=1442\)

Hence, In total, the theater seats 1442 people.

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

The angle that represents an exterior angle of the given triangle is: D. ∠CAB.

An exterior angle of a triangle is the angle that is located outside a triangle on an extended adjacent side of the triangle.

In the image given, and considering the options we have, ∠CAB is located outside a triangle ABF on an extended adjacent side CF of the triangle.

Therefore, the answer is: D. ∠CAB.

Learn more about the exterior angle of a triangle on:

https://brainly.com/question/17972372

#SPJ1

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

Answer:

Step-by-step explanation:

3 out of 4 to land on greater than 6 and 1 out of 4 to land on 9. 3/4 for greater than 6. 1/4 for 9.