solve this problem pls

The number of  used games consoles is 9 and the number of new game consoles is 5

Here we use the Linear equation method to solve the problem. Since we don't know the number games, represent them with variables x and y.

Now for two linear equations according to the conditions as given in the problem. Solve the equations for the values of both x and y by using the substitution method.

Here we have

An electronics store sells used game consoles for $79.00 and new ones for $149.00

Let 'x' and 'y' be the number of used and new game consoles respectively

Cost of 'x' used games consoles = 79x

Cost of 'y' new game consoles = 149y

Given total profit =$ 1456    

=> 79x + 149y = 1456 ----- (1)

The total number of game consoles = 14

=> x + y = 14

=> x = 14 - y ---- (2)

Substitute (2) in (1)

=> 79(14 - y)  + 149y = 1456

=> 1104 - 79y + 149y = 1456

=> 70y = 350

=> y = 5

From (2) => x = 14 - 5 = 9

Therefore,

The number of  used games consoles is 9 and the number of new game consoles is 5

Learn more about Linear equations at

https://brainly.com/question/13738061

#SPJ1

Answer:

11 /16

Step-by-step explanation:

Answer: The function of graph 2 has a higher rate of change than the function of graph 2

Step-by-step explanation:

160 children between the ages of 5 and 15 comprise the cases.

Age and sex child cheated are the variables and types.

What impact do age, sex, being an only child, and whether or not kids received instructions have on the frequency of cheating in games?

a) What are the cases?

The cases are: the 160 children between the ages of 5 to 15.

b) What are the variables and their types?

The variables and types are: age (discrete numerical), sex (regular categorical), whether they were an only child or not (regular categorical), the result of the coin flip (regular categorical), whether the children were given instructions or not (regular categorical), and whether the child cheated (regular categorical).

c) What is the main research question?

The main research question is: What is the effect of age, sex, only child status, and whether or not children were given instructions on the rate of cheating in a game?

For such more question on frequency

https://brainly.com/question/27820465

#SPJ4

The inequalities represented on the graph is x ≥ -2.

In mathematics, an inequality is a mathematical expression where neither side is equal. Inequality in mathematics is defined as a comparison between two expressions or two numbers that is not equal. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.

Given that,

Number line showing range from negative five to five. The left end point is a closed dot at negative two, with a ray pointing right past five.

From the above we observe that point on negative 2 is a closed dot hence the inequality would be ≥ or ≤.

Now, the ray point past five, that is it moves in positive direction.

Hence, the inequalities represented on the graph is x ≥ -2.

Learn more about graph of inequality here:

https://brainly.com/question/30228778

#SPJ1

Step-by-step explanation:

6 notebooks = $d

1 notebook = $?

So

1 notebook price = $d ÷ 6

Answer:

Step-by-step explanation:

n represents the number of notebooks

d represents the cost of a notebook

n = d            one notebook = d dollars

9n = 9d        multiply both sides by 9

Answer:

[tex]\frac{2}{4}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When each time a coin is flipped, there are two possible outcomes.

The chance for either heads or tails being chosen is one half.

Thus, the number of times the coin can be flipped and land on heads or tails is [tex]\frac{1}{2}[/tex].

Hope it helped!

The measurement of the LM will be 42.0

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Here given in the question that one side of the wall 5 feet

So as it is a rectangular bedroom it can be split into 2 right-angled triangles.

So the hypotenuse of the triangle is 13 feet

Now using the Pythagoras theorem we can find out the length of the other wall

b² = h² -p²

given KM = 52, NL = 33

So the triangle MLN

LM = √(33²+26²) = 42.0

Hence The measurement of the LM will be 42.0

Learn more about Pythagoras theorem, by the following link

https://brainly.com/question/231802

#SPJ1

The probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

To solve this problem, we can use the normal distribution and the standard normal distribution table (also known as the z-table).

Let X be the salary of a first-year teacher. We are given that X is approximately normally distributed with a mean (average) of mu = $27,989 and a standard deviation of sigma = $3250. We want to find the probability that a randomly selected first-year teacher makes certain salaries.

A. Between $20,000 and $30,000 a year

To find the probability that a first-year teacher makes between $20,000 and $30,000 a year, we need to standardize the interval using the z-score formula:

z1 = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45

z2 = (30000 - mu) / sigma = (30000 - 27989) / 3250 = 0.63

Using a standard normal distribution table or calculator, we can find that the probability of a random variable being between z1 and z2 is approximately 0.8461.

Therefore, the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 a year is approximately 0.8461.

B. Less than $20,000 a year

To find the probability that a first-year teacher makes less than $20,000 a year, we need to standardize this value using the z-score formula:

z = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45

Using a standard normal distribution table or calculator, we can find that the probability of a random variable being less than z is approximately 0.0071.

Therefore, the probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ1

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect the mean (average) of the data set.

This is because the mean is calculated by summing all the values in the data set and dividing by the total number of values. As the sample size increases, the influence of any individual value on the mean becomes smaller. An extremely large outlier may have a significant impact on the sum of the data set, but if the sample size is large enough, the impact on the mean will be relatively small.

However, adding an extremely large outlier to a data set can substantially affect other measures of central tendency and dispersion, such as the median and standard deviation. These measures are based on the order and spread of the data, rather than the sum of the data, and may be more sensitive to extreme values.

To know more about mean

https://brainly.com/question/21800892

#SPJ4

Answer:

$0.07

Step-by-step explanation:

We know

It cost Nevaeh $5.39 to send 77 text messages.

How much does it cost to send one text?

We take

5.39 / 77 = $0.07 per text

So, it costs $0.07 to send one text.

It costs Nevaeh $0.07 to send one text message.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To find out how much it costs to send one text message, we can divide the total cost by the number of messages:

Cost per message = total cost/number of messages

In this case, the total cost is $5.39 and the number of messages is 77, so:

Cost per message = $5.39 / 77 = $0.07

Therefore, it costs Nevaeh $0.07 to send one text message.

To know more about an expression follow

https://brainly.com/question/27284111

#SPJ2

Answer:

1/10

Step-by-step explanation:

Puppy food portions.

Unish Baskota

Kennedi is feeding her 5 puppies. She has half a bag of dog food left. How much of the bag

will each puppy receive?

If Kennedi has half a bag of dog food left and she has 5 puppies to feed, then each puppy will receive 1/5th of the remaining dog food.

To calculate this, you can divide the remaining dog food (which is half a bag) by the number of puppies (which is 5):

1/2 bag of dog food ÷ 5 puppies = 1/10 bag of dog food per puppy

So each puppy will receive 1/10th of the bag of dog food.

Each puppy would receive 1/10 of food

Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are: x² + (y - 3)²=36 and x² + (y + 8)²=36.

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign (=). The expression on the left side of the equals sign is called the left-hand side (LHS), and the expression on the right side of the equals sign is called the right-hand side (RHS). Solving an equation means finding the value of the variable that makes the equation true. I

Here,

A circle with diameter 12 units and center on the y-axis has its center at (0, c), where c is a constant. The radius of the circle is half the diameter, which is 6 units.

The equation of a circle with center (0, c) and radius r is given by:

x² + (y - c)² = r²

Substituting r = 6 and simplifying, we get:

x² + (y - c)² = 36

The only two equations among the options given that match this form are:

x² + (y - 3)² = 36 (center at (0,3))

x² + (y + 8)² = 36 (center at (0,-8))

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

Infinite (∞)

Step-by-step explanation:

A multiple in math are the numbers you get when you multiply a certain number by another number or integer.

Multiples of 10 are numbers that can be divided exactly by 10. The multiples of a number are infinite.

Answer:

42 m

Step-by-step explanation:

Equilateral triangle means that all sides are the same thus if the perimeter is 12 m

12m/3 = 4m for each side

The length of the boom will then how many triangles make the length which looks to be about 10.5

So 10.5 x 4 = 42 m

Answer:

1=24.5

Step-by-step explanation:

2*2=98

4=98

2= 49

which means

1 is 24.5

Using proportions, we determined 24 out of every 36 households have a guest room.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, six out of every 9 households have a guest room.

So, the ratio is 6:9

Margaret asked x households in her neighborhood if they have a guest room, and 24 said yes

So, the ratio is 24:x

Now, the proportion is 6:9::24:x

6x=9×24

x=36

Hence, 24 out of every 36 households have a guest room.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ1

Answer:

The probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

Step-by-step explanation:

Given that Bob has a box of chocolates containing 6 chocolate covered almonds, 4 chocolate covered peanuts, and 8 plain chocolates, the total number of chocolates in the box is:

[tex]\implies \sf Total=6 + 4 + 8 = 18[/tex]

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

Therefore, the probability that the first chocolate Bob eats will have almonds is:

[tex]\implies \sf P(first\;almond)=\dfrac{6}{18}[/tex]

As Bob has eaten one almond chocolate there are now 5 chocolate covered almonds left and a total of 17 chocolates.  Therefore, the probability that the next chocolate Bob eats will have almonds is:

[tex]\implies \sf P(second\;almond)=\dfrac{5}{17}[/tex]

To find the total probability for two or more events, multiply the probabilities.  Therefore, the probability that the first two chocolates Bob eats will have almonds is:

[tex]\begin{aligned}\implies \sf P(first\;almond)\;and\;P(second\;almond) & =\dfrac{6}{18} \times \dfrac{5}{17}\\\\ &=\dfrac{30}{306}\\\\&=\dfrac{5}{51}\\\\&=0.0980392...\\\\&=9.80392...\%\end{aligned}[/tex]

Therefore, the probability that the first two chocolates Bob eats will have almonds is 5/51 or 9.8% (nearest tenth).

In the triangle BCD the value of ∠BDC is 105°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In ΔABC and ΔBCD it is given that -

∠A ≅ ∠B

∠ADC ≅ ∠BCD

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

So, by the theorem stated above -

∠ACD ≅ ∠BDC

In ΔACD he sum of angles of a triangle is 180°.

The equation will be -

∠ACD + ∠ADC + ∠A = 180°

Substitute the values in the equation -

∠ACD + 30° + 45° = 180°

∠ACD + 75° = 180°

∠ACD = 180° - 75°

∠ACD = 105°

Now, since ∠ACD ≅ ∠BDC.

So, ∠BDC = 105°.

Therefore, the measure of ∠BDC is 105°.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

Answer:

Both have 4 points, and sides.  

Squares have 4 even sides

Rectangles have 2 short sides and 2 long sides.

The temperature in Fahrenheit that is equal to 17 degree Celsius is  62.6 Fahrenheit .

The Celsius (°C) and Fahrenheit (°F) are two common temperature scales which are used to measure the temperature. Celsius is based on the metric system, and is widely used in most countries. Fahrenheit, on the other hand, is used mostly in the United States and a few other countries.

We use the the formula "°F = (°C × 1.8) + 32" , to convert the temperature from degree Celsius to degree Fahrenheit ;  

In this case  , we have to convert 17 Celsius to Fahrenheit,

So , we can write the formula as : °F = (°C × 1.8) + 32

⇒ °F = (17 × 1.8) + 32 ;

⇒ °F = 30.6 + 32 ;

⇒ °F = 62.6  .

Therefore, 17 Celsius is equal to 62.6 Fahrenheit .

Learn more about Fahrenheit here

https://brainly.com/question/30402765

#SPJ4

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

To know more about cost click-
https://brainly.com/question/25109150
#SPJ1

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:

{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.

Learn more about sample space , visit:

https://brainly.com/question/30206035

#SPJ1

Answer:

[tex]x=-5,5[/tex]

Step-by-step explanation:

[tex]y=x^2-25\\0=x^2-25\\0=(x+5)(x-5)\\x=-5,5[/tex]

To find the average value of a function from a graph, you can follow these steps:

For more questions on Graphs

https://brainly.com/question/25184007

#SPJ4

The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.

Recall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.

Multiply 2 and 1/4:

2 × 1/4 = 1/2

Take the square root of the result:

a = √(1/2)

Simplify the square root:

a = √(1/2) = √(1)/√(2) = 1/√(2)

Rationalize the denominator by multiplying the top and bottom by √(2):

a = (1/√(2)) × (√(2)/√(2)) = √(2)/2

Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:

a ≈ 0.70710678118

Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118

To know more about the geometric mean, visit:https://brainly.com/question/28584873

#SPJ1

The slope of UN is solved to be

The slope of UN is solved using the points denoting U and N and the points are

U (4, -2) and N (1, 2)

Formula for slope is

= change in y direction  / change in x direction

= (-2 - 2) / (4 - 1)

= -4 / 3

The slope of UN is -1 1/3

Learn more about slope  at:

https://brainly.com/question/16949303

#SPJ1

The value  0.24 as a fraction is 6/25. .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.24*100/100 =6/25

know more about fraction click here;

brainly.com/question/6201432

#SPJ4