The ratio of male students to female students is 4 to 5. if there is a total of 6192 students, find the number of male syudents to the number of female students

Answer:

Different cities have different levels of sales tax for items purchased. Find each amount of sales tax?

What is 10% of $19.90?

$1.99

What is 7% of $20.00?

$1.40

Right on edge

Step-by-step explanation:

7 percent of the number 20.00 is 1.4.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that, 7% of 20.00

A percentage is a number or ratio that can be expressed as a fraction of 100.

Let x be the 7% of 20.00.

Here, 7% of 20.00 =x

7/100 ×20.00 =x (word "of" means multiplication)

0.07×20.00 =x

x=1.4

Therefore, 7 percent of the number 20.00 is 1.4.

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The difference of the given fractions is 1/2.

Given that, 6/8 - 1/4.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Here, 6/8 - 1/4

= 6/8 - 2/8

= (6-2)/8

= 4/8

= 1/2

Therefore, the difference of the given fractions is 1/2.

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24-7=17

17 pennies
7 nickles

total value is
5(7)+1(17)=35+17=52 cents

To find dy/dx by implicit differentiation, differentiate both sides of the equation with respect to x. Apply the product rule and isolate dy/dx by moving terms.

To find dy/dx by implicit differentiation, we'll differentiate both sides of the equation with respect to x. Let's start by differentiating y cos x = 5x2 + 3y2:

Using the product rule, we have: dy/dx * cos x + y * (-sin x) = 10x + 6y * dy/dx

Next, isolate dy/dx by moving terms:

dy/dx * cos x - 6y * dy/dx = 10x - y * (-sin x)
dy/dx * (cos x - 6y) = 10x + y * sin x
dy/dx = (10x + y * sin x) / (cos x - 6y)

Answer:

The first one :)

Step-by-step explanation:

Answer:

In probability, independent events are those that if one event occurs, it does not change the probability of the other event.

Whereas conditional probability is defined as the probability of one event occurring with some relationship to one or more other events.

The addition rule is used for both the independent and conditional probabilities.

For independent event the probability is shown as :

[tex]P(YorZ)=P(Y)+P(Z)[/tex]

For conditional: [tex]P(YorZ)=P(Y)+P(Z)-P(YandZ)[/tex]

The quotient of -18 and the sum of -2 and d can be represented mathematically as -18 ÷ (d - 2), where we subtract 2 from d and then divide -18 by that result.

The quotient of -18 and the sum of -2 and d refers to dividing -18 by the result of adding -2 to d (which we can represent as d - 2 because adding a negative number is equivalent to subtracting). Mathematically, we can express this as -18 ÷ (d - 2).

To perform this operation, we first need to know the value of d. Once we have that, we subtract 2 from it, and then divide -18 by that result.

For example, if d was 4, we would perform the operation as follows:  4 - 2 gives us 2, then -18 ÷ 2 gives us -9. So, the quotient of -18 and the sum of -2 and 4 (d being 4) is -9.

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Final answer:

The equation of the vertical line passing through the point (14, 15) is x = 14.

Explanation:

To find an equation of a vertical line that passes through the point (14, 15), we need to understand that a vertical line has an undefined slope and therefore cannot be represented by the slope-intercept form of a line, y = mx + b. Instead, vertical lines are represented by equations where x is equal to a constant value since every point on the vertical line will share the same x-coordinate. Thus, the equation of the vertical line passing through (x, y) = (14, 15) is simply x = 14.

Final answer:

To find the radius of a spherical tank with a capacity of 400 gallons, calculate the volume and use the formula for the volume of a sphere.

Explanation:

A spherical tank has a capacity of 400 gallons, which is approximately 533.47 ft³ (400 gallons x 0.1337 ft³/gallon).

To find the radius, use the formula for the volume of a sphere: V = (4/3)πr³. Set this equal to the volume and solve for the radius.

Substitute the volume (533.47 ft³) into the formula, solve for r, and you will find that the radius is approximately 4.88 feet.

Answer:

The correct answer is 4, 5 :)

Step-by-step explanation:

A system of linear equations can be solved by elimination, substitution or using graphs.

The values of x and y for [tex]6x + 7y= 59[/tex] and [tex]4x + 5y =41[/tex] are 4 and 5, respectively.

Given

[tex]6x + 7y= 59[/tex]

[tex]4x + 5y =41[/tex]

Make x the subject in [tex]4x + 5y =41[/tex]

[tex]4x = 41 - 5y[/tex]

Divide by 4

[tex]x = \frac 14(41 - 5y)[/tex]

Substitute [tex]x = \frac 14(41 - 5y)[/tex] in [tex]6x + 7y= 59[/tex]

[tex]6 \times \frac 14(41 - 5y)+ 7y = 59[/tex]

[tex]\frac 32(41 - 5y)+ 7y = 59[/tex]

Multiply through by 2

[tex]2 \times \frac 32(41 - 5y)+ 2 \times 7y = 2 \times 59[/tex]

[tex]3(41 - 5y)+ 14y = 118[/tex]

Open brackets

[tex]123 - 15y+ 14y = 118[/tex]

Collect like terms

[tex]- 15y+ 14y = 118 - 123[/tex]

[tex]-y = -5[/tex]

[tex]y = 5[/tex]

Substitute [tex]y = 5[/tex] in [tex]x = \frac 14(41 - 5y)[/tex]

[tex]x = \frac 14(41 - 5 \times 5)[/tex]

[tex]x = \frac 14(41 - 25)[/tex]

[tex]x = \frac 14(16)[/tex]

[tex]x = 4[/tex]

Hence, the solution to the system of linear equations is:

[tex]x = 4[/tex]

[tex]y = 5[/tex]

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Answer: [tex]x^2+y^2=81[/tex]

Step-by-step explanation:

The equation of circle ( in general form ) is  given  by :_

[tex](x-h)^2+(y-k)^2=r^2[/tex]

, where r= radius of the circle .

(h,k) = center of the circle .

Given : Center = (h,k)= (0,0)

Radius = r = 9 units

Then the equation of the circle will be :-

[tex](x-0)^2+(y-0)^2=(9)^2[/tex]

[tex]\Rightarrow x^2+y^2=81[/tex]

Hence, the required equation of the circle  = [tex]x^2+y^2=81[/tex]

Answer:

D:3y+1

Step-by-step explanation:

find the Algebraic expression has a term with a coefficient of 3

The number before the variable is the coefficient

A:5y-7

y has a coefficient of 5

B:-2y+5+3

y has a coefficient of -2

C:3(y-6)

y or 1y are same

Here , y has a coefficient of 1

D:3y+1

y has a coefficient of 3

To find the quotient of -7 ÷ 14/3, simplify the fraction 14/3 to 42/3 and then divide -7 by 42/3. The quotient is -1/2.

To find the quotient of -7 ÷ 14/3, we can simplify the fraction 14/3 to an improper fraction or a mixed number. Let's convert it to an improper fraction. We multiply the denominator (3) by the whole number (14) and add the numerator (0) to get the new numerator. This gives us 42/3. Next, we divide -7 by 42/3. When dividing by a fraction, we multiply by its reciprocal. So, -7 ÷ 42/3 is the same as -7 × 3/42. This simplifies to -21/42 which reduces to -1/2.

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Final answer:

The solutions to ax = 0 are all vectors in the null space of the matrix a. These solutions can be expressed as a parametric vector form, which may involve free variables if the matrix a has any. The general solution is a linear combination of the basis vectors for this null space.

Explanation:

The question is asking to describe all solutions to the equation ax = 0 in parametric vector form, given that a is row equivalent to a certain matrix. This matrix is understood to allow a decomposition of a vector into its perpendicular components. Such a matrix transformation typically reduces to finding the null space of the matrix.

To find the solution to ax = 0, we understand that any vector x that satisfies this equation is in the null space of a. The null vector is the most trivial solution, where all components of the vector are zero. But if there are free variables involved, the solutions may form a subspace spanned by these free variables. The general solution can then be expressed as a linear combination of these basis vectors that span the null space of a.

For instance, if our matrix a has one free variable, the parametric vector form of the solution might be t[1,0,0] if the first column of a is the pivot column and the rest are free columns. Here, t would be any scalar, representing a line through the origin in the direction of the vector [1,0,0] in three-dimensional space.

Answer:

C = 5 over 9(F – 32)

Step-by-step explanation:

The formula is [tex]F=(\frac{9}{5}C)+32[/tex]

We can do some algebra to solve for C (note the steps below):

[tex]F=(\frac{9}{5}C)+32\\F=(\frac{9C}{5})+32\\F-32=\frac{9}{5}C\\C=\frac{F-32}{\frac{9}{5}}\\C=\frac{5}{9}(F-32)[/tex]

Last answer choice is right.