Kevin and Randy Muise have a jar containing ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$. How many of each type of coin do they​ have?

The age of Raj is 4 years.

Amaan's age is 8, more than 4 times the age of Raj.

Amaan is 24 years old.

The age of Raj can be found as follows;

Therefore, the situations will form an algebraic equation.

let

the age of Raj = x

The age of Amaan is 8 more than 4 times the age of Raj.

Hence, the age of Amaan can be represented as follows:

Amaan age = 8 + 4x

Hence,

24  = 8 + 4x

subtract 8 from both sides of the equation

24 - 8 = 8 - 8 + 4x

16 = 4x

divide both side by 4

x = 16 / 4

x = 4

Therefore,

age of Raj = 4 years

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The equations representing the data in the table are:

y-6 = -5/4(x+2)

y-3.5 = -1.25x

y-1 = -5/4(x-2)

The table with x and y values are:

x       |      y

-2           6

0          3.5

2             1

4          -1.5

We need to find the equation of the table in point slope form for this table by considering each point and the slope.

First two find the slope, consider two points (x₁, y₁) = (-2,6) and (x₂, y₂) = (2, 1).

Then slope, m = (y₂ - y₁)/(x₂ - x₁)

                        = (1-6)/2--2)

                        = -5/4

Now we find the point-slope form for each point (x', y') from the table.

The equation in point -slope form is y - y' = m(x-x')

y-6 = -5/4(x+2)

y-3.5 = -5/4x ⇒ y-3.5 = -1.25x

y-1 = -5/4(x-2)

y+1.5 = -5/4(x-4)

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The value of y when x is 2 1/2 is 350

Direct variation can be defined as mathematical or arithmetic relationship having two variables that can be expressed with an equation with one variable equivalent to the a specific constant times the size of the other variable.

From the information, we have that;

y varies directly with x.

This can be expressed as;

y α x

Add a constant;

k = y/x

Now, let's determine the constant of their variation, k' by substituting the values, we have;

k = 35/1/4

Take the inverse of the divisor and multiply

k = 35(4)/1

k = 140

To determine the value of 'y' for x = 21/2 = 5/2. we have

k = y/x

140 = y ÷ 5/2

cross multiply

y = 140 × 5/2

cross multiply

y = 350

Hence, the value is 350

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Step-by-step explanation:

100% = $2000

1% = 100%/100 = 2000/100 = $20

how many % are $300 ?

well, as many % as 1% fits into these $300 :

300 / 1% = 300 / 20 = 15%

15% of last semester's costs were spent on books.

Answer:

total= 2000

spent = 300

300/2000x100

= 15 %

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A road is 6 degrees inclined after 4900 feet of travel. The driver's increasing in altitude is 509.6

Given that,

A road is 6 degrees inclined after 4900 feet of travel.

We have to find the driver's increasing in altitude.

In a right angle triangle,

According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.

Sinθ=Altitude/Hypotenuse

Sinθ×Hypotenuse=Altitude

Altitude=Sin6°×4900

Altitude=0.104×4900

Altitude=509.6

Therefore, The driver's increasing in altitude is 509.6

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Answer:

B.

X>-5 and X<-1

Step-by-step explanation:

|x+3|<2

The absolute value is already isolated for, so now you make two different equations.

x+3>-2

and

x+3<2

you get x>-5 and x<-1

The information given regarding the hair products, a styling cream and a mousse shows that it's not double bind.

The subjects in a single-blind study are not made aware of the research treatment, if any, they are receiving. In a double-blind study, the researchers and participants are both unaware of the treatment allocation.

Due to the fact that neither the participant nor the researcher are aware of who has got what therapy, double-blind trials are regarded as the most credible type of research. This is done in an effort to lessen bias and the placebo effect.

It should be noted that in this case, one group was assigned to use the styling cream for the next two weeks and the other group was assigned to use the mousse.

Both groups should have been given same product to illustrate the double bind in the experiment.

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The day that they will shop at same time based on the information is in 40 days.

It should be noted that from the information given, Mrs Jannah goes to the store every 8 days and Mrs Byrne goes to the store every 10 days.

It should be noted that if they both went to shopping today, the date that they will shop at same time will be the least common multiple of 8 and 10. This will be:

Multiple of 8 = 8, 16, 24, 32, 40

Multiple of 10 = 10, 20, 30, 40

Therefore, the days is 40 days.

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The value of 'd' in the proportion 3:d:27:45 is 5

A proportion can simply be defined as a mathematical comparison of two different numbers.

The numbers mostly describes a comparison between people, elements, quantities, or things.

It is also seen as an equation having two ratios which are proportionally  set equal to each other.

The mathematical operations involved in proportion includes;

Given the expression:

3:d:27:45

This is represented as;

3 = d

27 = 45

To determine the value of 'd', we have;

cross multiply

27d = 135

Make 'd' the subject of formula by dividing both sides by 27

d = 135/27

d = 5

Hence, the value is 5

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The complete question:

3:d:27:45 . Find the value of d in the proportion

Answer:

A.) S(0) and S(6) represent the number of pairs of socks sold.

B.) S(0) = 14, S(6) = 2

C.) The domain of the function, the x-values, are all real numbers. As the domain doesn't have any imaginary number and its not infinite, as the graph shows. From (0,14) to (7,0)

Brainly pls :)

Step-by-step explanation:

B.)

S(0) = 14 - 2(0)

S(0) = 14

S(6) = 14 - 2(6)

S(6) = 2

If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23

The line AB and BC are intersecting at point B.

Ray BD bisect the  angle ABC

∠ABD = x+8 degrees

∠ABD=∠DBC = x+8

Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal

∠ABD+∠DBC= 4x-30 degrees

Because both are vertically opposite angles

Substitute the values in the equation

x+8 + x+8 = 4x-30

2x+16 = 4x-30

2x-4x = -30-16

-2x = -46

x = 23

Hence, if line AB and BC are intersecting at point B and ray BD bisect  the angle ABC, then the value of x is 23

The complete question is

Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?

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In this case, we're given the following information:

The mother's donation of $9 will not change no matter how many miles Isabelle has walked, so if both the mother's and grandmother's donations are equal, they must each owe 9$.

Each donor owes $9.

1 . For the two-variable linear equation, produce three points » ordered pair solutions (x, y).

2 . Put each point on a coordinate plane and plot it.

3 . Draw an arrow at each end of a line that passes through the indicated spots.

When two equations are given and we are supposed to draw a graph.

We first have to take any random value of x preferably a small number like 1, 2 etc. and put this value in the equation and get the value of y .

Similarly, do the same for the second equation and get atleast three to four values of both x and y and plot them in a graph .

To cross check whether the graph plotted is correct ; HINT : they should form a straight line .

The graph is given below :

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Answer:

Step-by-step explanation:

Let x represent the number.

The expression is built in two parts as:

Subtract the second part from the first part:

Answer:the answer is 6

Step-by-step explanation:

The value of k is 15 in the given equation f(x)=2x³ + kx - 4.

What exactly do we mean by equations?

So, the value of K:

The remainder when dividing by x-a is f(a) according to the remainder theorem:

- 18 is the remainder:

Therefore, the value of k is 15 in the given equation f(x)=2x³ + kx - 4.

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Answer:

x = 17

Step-by-step explanation:

          x² + 9 = 298

Subtract 9 from both sides,

         x² + 9 - 9 = 298 - 9

                 x²    = 289

Prime factorize 289,

                 x²   = 17*17

Take square root,

                [tex]\sf \sqrt{x^2}= \sqrt{17*17}[/tex]

                    x = 17

 y = 1/5x - 5 is the equation of slope-intercept form .

What is slope-intercept form explain?

equation y = 1/5 x - 4

compare y = mx + c , m = 1/5

put points (5,-4) in equation

                        y = mx + c

                        - 4 = 1/5 * 5 + c

                         - 4 = 1 + c

                             c = -5

put value of c in equation

                     y = 1/5x - 5

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Answer:

file has been attached

Step-by-step explanation:

Answer:

x = 42°

Step-by-step explanation:

 m∠AOB = 180°     {AB is a straight line}

m∠AOE + m∠EOF + m∠FOB = ∠AOB

x + 2x + 34 + 20 = 180°

Combine like terms,

       3x + 54 = 180

subtract 54 from both sides,

            3x  = 180 - 54

            3x  = 126

Divide both sides by 3

              x = 126 ÷ 3

              x = 42°

Answer:

$14.04

Step-by-step explanation:

-21.46 + 35.50 is the same as

35.50 - 21.46 = $14.04

Answer: 14.04

Step-by-step explanation: -21.46 + 35.50 = 14.04

The integers that are closest to the number √54 are 7 and 8.

The inequality is 7 <√54 < 8.

Inequality is a mathematical comparison of two integers or algebraic expressions that uses the terms greater than, larger than or equal to, less than, or less than or equal to.

The given number is √54.

Now, we need to find the square root of two numbers that are closest to the given number.

√49 and √64 are two square roots nearest to √54.

√49 = 7 and √64 = 8

Put these values in the inequality to complete it,

7 <√54 < 8

Therefore, 7 and 8 are the required integers closest to √54.

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Answer:

  V = 11 +3j volts

Step-by-step explanation:

You want the voltage in a circuit with current (3 -j) and impedance (3 +2j).

The voltage is the product of current and impedance.

  V = (3 -j)(3 +2j) = 3(3 +2j) -j(3 +2j)

  = 9 +6j -3j -2j² = 9 -2(-1) +(6 -3)j

  = 11 +3j

The voltage is V = 11 +3j.

__

Additional comment

In electronics, the letter j is used in place of the letter i to mean √(-1). This is because i means something else. (Here, i is used for "impedance." It is conventionally used for "current.")

The multiplication is carried out as though the values were polynomials. In the end, j² is replaced by -1.

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If a researcher uses u.s. census data to examine changes in the number of individuals in each racial group across states over time, she is using stratified sampling.

Samples may be classified as:

For this problem, we have that the population is divided into groups, according to their racial group, and then parts of the sample are surveyed, hence stratified sampling is used.

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[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ -4 }{ 5 } \implies - \cfrac{ 4 }{ 5 }[/tex]

The list that shows the numbers |-0.12|, 1/8, 1/9 in order from smallest to largest is:

1/9, |-0.12|, 1/8.

The absolute value of a number is the distance of the number to the origin, hence it is represented by the number without the signal.

In the context of this problem, the absolute value of -0.12 is:

|-0.12| = 0.12.

To convert a fraction to decimal, we divide the top term of the fraction, called numerator, by the bottom term of the fraction, called the denominator.

Hence, in the context of this problem, the decimal representation of the fractions is given as follows:

To order the three numbers, both have integer part 0, hence we look at which one has the greater decimal part, hence they are ordered as 1/9, |-0.12|, 1/8, from least to greatest.

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Answer:

(64799/1296) = 49.999

Step-by-step explanation:

If I understand this correctly...

10 × 5 - 6² ⁺ ⁻⁸

(10 × 5) - 6² ⁻ ⁸

(50) - (6⁻⁶)

50 - (1/46656)

(2332799/46656) = 49.999

or

10 × 5 - 6² ⁺ ⁻⁸

(10 × 5 - 6)² ⁻⁸

(50 - 6)⁻⁶

(44)⁻⁶

(1/7256313856)

I hope this helps!

Answer:

7inches

Step-by-step explanation:

using Pythagoras a²+b²=c²

so it's rearranged to c²-b²=a² or c²-a²=b²

first we get 13²-11²

next we do  169-121

this makes 48

square root 48 is 6.90 inches

this rounds up to 7 Inches

your answer would be : 7 inches

The most appropriate choice for square root will be given by-

Number of integers lying between [tex]\sqrt{60}[/tex] and [tex]\sqrt{145}[/tex] = 5

What is square root of a number?

If the number is raised to the power of [tex]\frac{1}{2}[/tex], then the result obtained is called square root of the number.

[tex]\sqrt{60} = 7.75\\\sqrt{145} = 12.04\\[/tex]

Integers lying between 7.75 and 12.04 = 8, 9, 10, 11, 12

Number of integers lying between 7.75 and 12.04 = 5

Number of integers lying between [tex]\sqrt{60}[/tex] and [tex]\sqrt{145}[/tex] = 5

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