Stuck on this please help!!

There were 24 female senators and 72 female members of the house of representatives.

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given In a certain year there were 96 female officials in Congress which is comprised of the house of reps and the Senator

total female members = 96

let the number of female senators be x,

and there were 48 more female members of the house of reps than female senators,

then the number of females representatives = 48 + x

according to condition

x + 48 + x = 6

2x = 96 - 48

x = 48/2

x = 24

the number of female senators = 24

the number of females representatives = 48 + x

the number of females representatives = 48 + 24 = 72

Hence, female senators, are 24 and female representatives are 72.

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The total population of the wolves after 2 years will be 500 + 125 = 625 wolves

a) After 1 year, the number of wolves in the forest will increase by 25% of the current population, which is 400 wolves.

The increase in population is equal to 0.25 * 400 = 100 wolves

The total population after 1 year will be 400 + 100 = 500 wolves

b) After 2 years, the number of wolves in the forest will increase by 25% of the population from the previous year, which is 500 wolves.

The increase in population is equal to 0.25 * 500 = 125 wolves

The total population after 2 years will be 500 + 125 = 625 wolves

Percentage is a way of expressing a number as a fraction of 100. It is denoted using the symbol %. For example, 50% means 50 per hundred, or 50/100.

Percentage is a convenient way of representing a ratio of a number to a whole, and it is often used to describe proportions and changes in quantities. For example, if a person's salary increases by 10%, their salary will be 10% higher than it was before. In mathematical terms, a percentage can be converted to a decimal or a fraction by dividing it by 100. For example, 50% can be written as 0.5 (as a decimal) or 1/2 (as a fraction).

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Yes, the new teaching method is quite successful.

Here, we have been told that the average score of the class mentioned in the question is 73 out of 100. This means that most of the class has been able to score at least 73% on the test.

This means that the new teaching method is quite successful as most of the students, that is 97% of the class, are able to understand what is being taught. Since the percentage of passing students is more than the percentage of children failing, we can conclude that the new teaching method is indeed successfully.

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Answer: To solve the problem, we need to find the total number of juice boxes.

We know that there are 3 packages of 10 juice boxes, which is 3*10 = 30 juice boxes.

And there are 7 extra juice boxes.

So the total number of juice boxes is 30 + 7 = 37 juice boxes.

We can write the number of tens and ones as:

Tens: 3

Ones: 7

And the total number of juice boxes is 37.

Step-by-step explanation:

The momentum of an object is 50 kg m/s and the kinetic energy of an object is 250 Joules.

In contrast to momentum, which is an object's size in motion, kinetic energy is the energy that any material has as it speeds. The relationship between kinetic energy and momentum exists because of how they relate to mass and velocity.

By using the following formula:

Momentum = mass x velocity, we will find the momentum of an object.

Substituting the values of mass and velocity,

Momentum = 5 km x 10 m/s

Momentum = 50,000 kg m/s

Kinetic energy = ½ x mass x (velocity)2

Kinetic Energy = ½ x 5 km x (10 m/s)2

Kinetic Energy = 250 J

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y(0.9) ≈ -658.91 using Euler's method with the ODE [tex]dy/dx + 5y^2 = sin x[/tex], initial condition y(0.3) = 5, and step size h = 0.3.

Given that ODE:

[tex]dy/dx + 5y^2 = sin x[/tex]

with the initial condition:

y(0.3) = 5

and step size h = 0.3, the value of y(0.9) using Euler's method can be approximated as follows:

Starting with the initial condition y0 = 5, use the formula:

[tex]y(x + h) = y(x) + hf(x, y(x))[/tex]

where [tex]f(x, y) = (sin x - 5y^2)/(dy/dx) + 5y[/tex] is the right-hand side of the ODE, and h = 0.3.

After two iterations, the approximate value of y(0.9) is y2 ≈ -658.91.

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The individual entrepreneur's income tax amount is 30,000 manat.

To calculate the income tax amount for an individual entrepreneur in Azerbaijan, we need to first calculate their total taxable income for the year.

Based on the information provided, their total taxable income for the year is calculated below.

40,000 + 30,000 + 25,000 + 55,000 = 150,000 manat.

Next, we need to determine the applicable tax rate based on their taxable income. According to the tax laws in Azerbaijan, the tax rate for individuals with a taxable income of up to 120,000 manat is 20%. For income between 120,000 manat and 200,000 manat, the tax rate is 25%, and for income exceeding 200,000 manat, the tax rate is 30%.

Since the individual's taxable income is 150,000 manat, the applicable tax rate is 20%. Therefore, their income tax amount is 150,000 × 20% = 30,000 manat.

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hope it helps! :)

Answer:

Charlotte can skate for 3 hours.

Step-by-step explanation:

To solve this equation, we can set up an equation that looks like this: 13.50h = 40.50

We can then divide both sides of the equation by 13.50 to get: h = 40.50/13.50

Simplifying this, we get: h = 3

Therefore, Charlotte can skate for 3 hours.

The energy expended in traveling by car is 3.6 mj/passenger-kilometer. the value for traveling by train is 1.1 mj/passenger-kilometer. Increase the number of passengers would be the best means to increase the efficiency of traveling by car. So the option 1 is correct.

Some ways to increase the efficiency of traveling by car:

1. Drive carefully and slowly

Driving on the open road is never the time for aggression. It impairs judgement and can cause rash actions. When operating your automobile, you must maintain a similar sense of composure and careful handling.

2. Turn off the engine while the car is idling.

If your car will be sitting still for more than 30 seconds, experts suggest shutting off the engine. Keeping your car's engine running when it is idling will only result in increased fuel consumption.

3. Travel at a steady pace.

Driving at a modest speed is the solution to the question of how to increase the mileage of your car. When this easy habit is followed, it will actually change things.

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The complete question is:

The energy expended in traveling by car is 3.6 mj/passenger-kilometer. the value for traveling by train is 1.1 mj/passenger-kilometer. What would be the best means to increase the efficiency of traveling by car? Please choose the correct answer from the following choices, and then select the submit answer button.

1. Increase the number of passengers

2. Decrease the number of passengers

3. Drive at High speed

4. Use aggressive driving

Answer:

b. The money cannot be fully insured and earn annual interest of $39,740.

Step-by-step explanation:

Simple interest is calculated by multiplying the principal deposited by the interest rate (in decimal form) and the time (in years).

Let x be the amount invested in the savings account that pays 12% simple interest and where deposits are insured to only $250,000.

Therefore:

As the total amount the student is investing is $390,000, the amount invested in the second account that pays 6.6% simple interest is (390000 - x).  Therefore:

To determine if the money can be deposited so that it earns annual interest of $39,740, equate the sum of the two expressions for interest to $39.740 and solve for x:

[tex]\begin{aligned}0.12x+0.066(390000 - x)&=39740\\0.12x+25740-0.066x&=39740\\0.054+25740&=39740\\0.054&=14000\\x&=259259.26\;\sf(2\;d.p.)\end{aligned}[/tex]

As x is not less than or equal to $250,000, it is not possible to deposit the money so that it is fully insured and earns the desired interest.

Answer:

3 2/5 = 17/5

3 4/6 = 22 / 6 = 11 / 3

17/5 + 11 / 3   need to find and 15 is the least common denominator

51 / 15 + 55 / 15 = 106 / 15

106 / 15 =  7  1 / 15     lowest terms

Note 7 1/15 = 7 2/30      second of 4 answers

The sum of the two integers we obtain as a consequence is the quotient. The quotient of 324÷4 would be 081

Division is the process of multiplying one number by any other number to produce a different number. Consequently, the dividend is the number that is divided in this instance. A number's divisor is the one that divides the given number. The quotient is the sum of the two numbers that we arrive at as a result.

The entire number that results from simplifying a fraction is known as the quotient. The quotient is the fraction's decimal representation when it is not possible to simplify a fraction to a whole number. A division issue involving two fractions can also have the quotient as its solution.

When you divide a number, you get a "quotient," and when you multiply it, you get a "product." Less than the dividend and the divisor is the quotient. Greater than the multiplied numbers is the product.

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The worth of Cobie's investment after 5 years is 3866 dollars.

Cobie invest $3500 into an ETF  which earns 2% per years. The amount Cobie investment will be worth if the interest is compounded semi annually can be calculated as follows:

using compound interest formula,

Then solve the equation for A

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

Therefore,

Hence,

[tex]A = 3500(1 + \frac{0.02}{2} )^{2(5)}[/tex]

A = 3,500.00(1 + 0.01)¹⁰

A = $3,866.18

Therefore,

worth of the investment = $3,866

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The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

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x = (31 - 2) * 12

Explanation:

Mark divides by 12 then adds 2 to get an answer of 31. We can reverse this process by subtracting 2 from 31 and then multiplying by 12 to get the original number x.

Answer:

1350 millivolts

Step-by-step explanation:

The output voltage is calculated as follows:

Output voltage = Input voltage * Gain

In this case:

Output voltage = 45 mV * 30 = 1350 mV = 1350 millivolts

So, the output voltage would be 1350 millivolts.

weight of Train A = 102 tons

weight of Train B = 98 tons.

This can be solved using the concept of equation.

The connection between the two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.

Let, weight of of Train A = x

Weight of Train B = y

So, Train A and train B, weigh a total of 200 tons:

x + y = 200 ...... (1)

The difference of their weights is 4 tons:

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

Solving the both equation, we get-

2x = 204

or, x = 102

thus, y = 200 - x

or, y = 200 - 102

y = 98

Thus, weight of Train A = 102 tons

weight of Train B = 98 tons

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According  to the question found the sum,

First number: 44,

Second number: 220,

Third number: 245 .

A number is an arithmetic value used for representing the quantity and used in making calculations. A written symbol like “3” which represents a number is known as numerals. A number system is a writing system for denoting numbers using digits or symbols in a logical manner.

First number: 44

Second number: 220

Third number: 245

The first number, x, is 44 since 5x = 220 and x + 220 + 245 = 289. The second number is 5 times the first number, which is 220. The third number is 100 more than the first number, which is 245.

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The solution to the equations are

a) The city will have 231 streetlights at the end of 49 weeks

b) The city will have 191 streetlights at the end of 29 weeks

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The initial number of streetlights in the city = 133 streetlights

The number of streetlights installed per week = 2 streetlights

So , the number of streetlights after 49 weeks = 49 x number of streetlights installed per week

Substituting the values in the equation , we get

The number of streetlights after 49 weeks = 49 x 2 = 98 streetlights

And , the total number of streetlights after 49 weeks = initial number of streetlights in the city + number of streetlights after 49 weeks

Substituting the values in the equation , we get

The total number of streetlights after 49 weeks A = 133 + 98

The total number of streetlights after 49 weeks A = 231 streetlights

Now ,

Let the number of streetlights after n weeks = 191 streetlights

So , the number of weeks n = ( 191 - initial number of streetlights ) / 2

Substituting the values in the equation , we get

The number of weeks n = ( 58 ) / 2

The number of weeks n = 29 weeks

Hence , the equations are solved

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Margo practices 15 minutes everyday.

Given is that Margo practices for 1/4 of an hour.

Assume that she practices for {x} minutes. We can write -

{x} = 1/4 x 60

{x} = 15 minutes

Therefore, Margo practices 15 minutes everyday.

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The correct answer is B. on average it takes 1.8 beers to increase blood alcohol content by 1%.

The equation implies that for each beer consumed, the blood alcohol content increases by 0.0180, meaning it takes 1.8 beers to increase the blood alcohol content by 1%.

It is important to note that different people metabolize alcohol at different rates, so the number of drinks it takes to reach a 0.08% BAC can vary significantly. Generally, it takes about 1.8 drinks to raise the BAC by 1%. This means that an average person would need to consume 15 drinks in order to reach the legal limit of 0.08%.

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Answer:

Neither.

Step-by-step explanation:

Parallel equations have the same y-intercept. Perpendicular equations have negative reciprocal slopes.

First, turn x-y=9 into y-intercept form.

x-y-x=9-x

-y = 9 - x

(-y = 9 - x)-1

The equations are now

y = x-9 and

y= -5x+1 

They don't share the same y-intercept nor do they have negative reciprocal slopes, so it's neither.

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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The true statements from the given statements are : 'If 7 is an odd number, then February does not have 30 days.' and 'If 7 is an even number, then January has exactly 28 days.'

Therefore the answer is (c) and (d).

(a) False. February does not have 30 days, it has 28 or 29 days (in a leap year). The statement is false, because 7 being an odd number has no connection to the number of days in February.

(b) False. January has 31 days, but 7 is an odd number.

(c) True. 7 is an odd number, and February has 28 or 29 days, but never 30 days.

(d) True. 7 being an odd number and the number of days in January, which cannot be 28 days, it is 31 days.

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Answer:85 percent of the teachers in the meeting were first-year teachers.

Step-by-step explanation:85/100=0.85

When the equation y=x³/3-x²/2-2x+5 turns, using the formula x=2 and x=-1 will occur.

A assertion that two expressions, which may include variables and/or numbers, are equal is known as an equation. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for answers to these questions.

Considering that,

y=x³/3-x²/2-2x+5

It is necessary to find zero in the gradient function's (derivative's) equation. finding dy/dx = 0 The y-coordinate is obtained by substituting the x-coordinate into the graph's equation. Change "y =" to "x =," for example.

y=x³/3-x²/2-2x+5

dy/dx=3x²/3-2x/2-2

dy/dx=x²-x-2

dy/dx=0

x²-x-2=0

Upon solving the given equation,

x=2 and x=-1

As a result, y=x/3-x²/2-2x+5 will turn at x=2 and x=-1.

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Answer: x ≤ -6 or x > 5

Step-by-step explanation: There are 2 lines so you will need 2 inequalities to define it.

The first line is going to left means the variable (x) will have to be less than the greatest value of the line (the right most point) which is -6. Therefore, x < 6 with < representing less than. However, we also have to consider the a CLOSED dot at -6 meaning the sign of the inequality is going to be ≤ since we including that point in the inequlity saying x can be equal to or less than 6.

The second line going to the right means x has to be greater than the smallest value of the line which is -5 (the left most point of the line). Therefore, x > 5 (> means greater than). In this case, we do not use ≥ because the point at -5 has a OPEN dot meaning x cannot equal 5 and we can not include that point in our inequality so it would just be x > 5.

So we get x ≤ -6 or x > 5