Please help! I need the answers and work for them, please and thank you!

Answers

Answer 1

Answer:

We can solve this problem by using the information provided in the riddle to create a system of equations. Let x be the number of pencils that were originally in the box. We can then create the following equations:

x < 40

x - 4 = 2

x - 3 = 0

x - 5 = 0

We can then solve this system of equations to find the value of x. First, we note that the second and third equations imply that x is equal to 3 or 5. Substituting these values into the first equation, we find that x cannot be 3, as this would violate the inequality. However, x can be 5, as 5 is less than 40. Therefore, the number of pencils that were originally in the box is 5.

Related Questions

the table below shows the flight of a golf ball after it was hit from the tee toward the green

Answers

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the curve of best fit is y=0.75x

c) The horizontal distance of the ball travelled with this hit is 58.33

d) It does not touch the hall land on the green.

What is a graph?

A relation is shown graphically in a function graph. In set theory and modern mathematics, a function is truly equivalent to its graph. For instance, a codomain should be considered while determining whether or not a function is onto (surjective). A function's graph by itself does not show the codomain.

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the line of best fit is:

Consider any points from the table,

(0,0) and(30,22.5)

y=mx+c

(0,0) -----> 0=0+c

c=0

(30, 22.5)

m=0.75

y= (0.75)x

c) The horizontal distance of the ball travelled with this hit is 58.33

d) For 10m ------>5.8m

For 20m ------->x

x=11.6m

For 120m it will be near to the ground,

16.7-11.6

=5.1m

It does not touch the hall land on the green.

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If John ha 54 time a many car a Noah' car. How much car doe Noah have if the anwer i 4266?

Answers

If John has 4266 cars, then Noah will have 79 cars

We can solve this question in the following way,

We have been given the condition that John owns 54 times more cars than Noah.

That means,

If Noah owns 1 car, John will own 1*54 = 54 cars

Similarly, if Noah owns 2 cars, John will own 2*54 = 108 cars

This will follow the pattern,

when Noah owns n cars, John will own n*54= 54n cars

In the question, we know that John owns 4266 cars,

That means we know that

54 * n= 4266

We have to calculate how many cars Noah owns, which is n

therefore the value of n will be

n= [tex]\frac{4266}{54}[/tex]

n= 79 cars

Therefore Noah will own 79 cars while John will have 4266 cars.

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A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1,6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?

Answers

Answer:

$860.10

Step-by-step explanation:

If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?

Answers

The value of the function g(x) at g = 4 is 18.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

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Calculate the perimeter of the irregular shape . Please show ur work Bc I have too !!

Answers

Therefore, the perimeter of the irregular shape is 34cm .

What is perimeter?

Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. The outermost border of an ellipse or circle is its circumference.

Here,

The perimeter of the irregular shape is

Given:

9 cm is the length of the below line and 4cm , 3cm and x is the length of the above line .

So x value is => 9 = 4 + 3+x

=> 9-7 = x

=>x= 2cm

and

thus we get all the length of the irregular shape

so adding =>

=> 4+2+3+2+3+6+5+9= 34 cm

Therefore, the perimeter of the irregular shape is 34cm .

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21. Calculate the future value of a $7,000 after 9
years, when there is an interest rate of 2.05%
with quarterly simple interest payments.
[A] $7,322.88
[D] $8,419.30
[B] $8,414.35
[E] $7,527.31
[C] $6,148.05

Answers

To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:

Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)

Plugging in the values given in the question, we get:

Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)

This simplifies to:Future value = $7,000 * (1.005125) ^ 36

Using a calculator or spreadsheet to calculate this value, we get:

Future value = $8,414.35

Therefore, the correct answer is [B] $8,414.35.

What is the solution to the linear equation?
-12+36-1=-5-b
O b = -2
O b = -1.5
O b = 1.5
O b=2

Answers

Answer: b = -2

Step-by-step explanation:Its Oviedo

Answer:

Step-by-step explanation:

SOOOO you would first start by....

ADDING 5 TO BOTH SIDES

You would get -12 + 36 -1 + 5 = -b

cause

addition is the opposite of subtraction and

now the -5 on the right side will be moved to a plus 5 on the left. This isolates the -b term.

Add up the right side and you get 28 = -b

So next up is a very interesting step.

Multiply both sides by -1, which results in negative terms becoming positive and positive terms becoming negative.

THEREFORE

You get the answer to b = -28

which is none of the answers above

thank me

Avicenna, a major inurance company, offer five-year life inurance policie to 65-year-old. If the holder of one of thee policie die before the age of 70, the company mut pay out $23,900 to the beneficiary of the policy. Executive at Avicenna are conidering offering thee policie for $956 each. Suppoe that for each holder of a policy there i a 4% chance that they will die before the age of 70 and a 96% chance they will live to the age of 70

Answers

Answer:

Step-by-step explanation:

E(x) = 791*0.97 - 23600*0.03 = 59.27. The answer is positive so they will make a profit of $59.27 for each policy sold.

However the correct answer is $83. By trial and error.

find the value of x and y.
(3x+19)°
(4x+14)°
And y ‍♂️

Answers

Answer:

X=34 Y=146

Step-by-step explanation:

3x+19is equal to 4x+14 through this we can look for the value of x which is 34

angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146

Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5

Answers

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here, we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or, x > 3x -10

We get 10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Answers

Answer:

The ratio is 7 : 13

Step-by-step explanation:

There are 39 books and 21 binders

Write the ratio of binders to books.

binders: books

21 : 39

Divide each side by 3

21/3 : 39:3

7 : 13

The ratio is 7 : 13

Answer:

Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13

Step-by-step explanation:

the formula would be 21 ÷ 39

next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]

so the final answer is [tex]\frac{7}{13}[/tex]

Select the correct answer.
Which number line represents the solution to |x - 5] <3?

Answers

Answer:

Step-by-step explanation:

since we are using the absolute value this means the result to be between 0 and 3.

the difference to C. is that the endpoints are not included (empty dots). that is correct, because the inequality uses the "<" sign. being equal to 3 is not valid.

but any real number higher than 2 and lower than 8 will provide a valid solution.

the higher or lower numbers used in B. and D. will not create anything between 0 and 3.

Answer:

Step-by-step explanation:

suppose that 45% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction

Answers

Answer:

0.2025 or 20.25%

Step-by-step explanation:

The problem says the probability of ONE person having a Dog is 45%

This is 0.45 in decimal form

But what are the chances TWO random people BOTH have Dogs. The chances would decrease!

To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.

This looks like:

0.45 (person 1) × 0.45 (person 2) = 0.2025

The number of times 0.45 is in the equation above is the same number as the people in the problem!

A pattern ue both addition and ubtraction a it rule. The rule i "Add 12, Subtract 3. " The pattern begin with 41. What i the ixth number in the pattern?

Answers

When the rule reads, "Add 12, Subtract 3," and the pattern begins at 41, the sixth number in the pattern is 71.

What is pattern?

A pattern is defined in mathematics as a sequence of repeated objects, forms, or numbers. A pattern can be associated with any form of event or object. A pattern has a rule that informs us which items belong to the pattern and which objects do not. Patterns are items that repeat logically, such as vertical stripes on a shirt. They can take the form of numbers, pictures, or forms. A pattern constructed of plastic animals, for example, can alternate between two and four legged creatures, or animals that swim and animals that fly.

Here,

pattern begin at 41,

=41+12

=53

=53-3

=50

=50+12

=62

=62-3

=59

=59+12

=71

The 6th number in the pattern is 71 when the rule says, "Add 12, Subtract 3." and pattern start at 41.

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A diver is at an elevation of -18 feet relative to sea level. The diver descends to an undersea cave that is 4 times as far from the surface

What is the elevation of the cave?

A: -14 feet

B: -18 feet

C: -22 feet

D: -72 feet

Answers

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A jumper is at a height of - 18 feet comparative with ocean level. The jumper plunges to an undersea cavern that is 4 times as distant from the surface

The elevation of the cave is given as,

Elevation = - 18 x 4

Elevation = - 72 feet

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

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if x and t represent distance and time, respectively, the c in x = 1/2ct 2 must

Answers

C have dimension of [tex]\frac{L}{T^2}[/tex] in the given equation.

What is dimension of physical quantity?

The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.

given the equation is:

x = [tex]\frac{1}{2}Ct^2[/tex]

and given that x represents distance and t represents time

as we know Dimension of x id L and dimension of time is T

and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.

let [x] denote dimension of x

so [x] = [C] [[tex]t^2[/tex]]

as [x] = L and [[tex]t^2[/tex]] = [tex]T^2[/tex]

L = [C] * [tex]T^2[/tex]

so [C] = [tex]\frac{L}{T^2}[/tex]

so dimenstion of C is [tex]\frac{L}{T^2}[/tex]

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At a book fair the ratio of the number of tudent to the number of adult i 4:3 after 169 tudent left the book fair the ratio became 4:5 how many adult were there at the book fair

Answers

If the ratio of the number of students and adults in the book fair is 4:3, the new ratio when 169 students left the fair is 4:5, then the number of adults in the book fair is 318

Let the number of students be 4x

Let the number of adults be 3x

When 169 students left the fair, number of students left = 4x - 169

According to question,

(4x-169)/3x = 4/5

⇒ 5(4x-169) = 4×3x

⇒ 20x - 845 = 12x

⇒ 20x - 12x = 845

⇒ 8x = 845

⇒ x = 845/8

⇒ x = 105.625

⇒ x = 106

Number of adults = 3x = 3×106 = 318

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Use given information to prove that angle DHF = EHG. Write in two-column proof.

Answers

After solving the equation the required solution is ∠DHG = ∠EHG

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given, ∠1 = ∠3

now,

∠DHF = ∠1 + ∠2

and, ∠EHG = ∠3 + ∠2

∠EHG = ∠1 + ∠2 (As ∠1 = ∠3)

Hence, ∠DHG = ∠EHG

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Find the area of the pizza if the diameter is 15 in.

Answers

Answer:

176.7 square inches

Step-by-step explanation:

You want the area of a 15 inch diameter pizza.

Area

The formula for the area of a circle in terms of its diameter is ...

A = (π/4)d²

The area of the pizza is ...

A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches

The area is about 176.7 square inches.

Please help with this

Answers

Answer:

x=45

Step-by-step explanation:

89+112+114+x=360(Sum of angles of a quadrilateral)

315+x=360

x=360-315

x=45

Hope this helps u

Determine the domain and the range of the function.
f = {(2,4),(29,-7),(44, 4), (54, 2)}

Answers

The domain of the given function is {2, 29, 44, 54} and the range is {-7, 2, 4}.

What are the domain and range of functions?

The domain of a function represents the set of input values to the function and the range of a function represents the set of output values for the domain of the function.

Domain - {x coordinates of the points in a function}

Range - {y coordinates of the point in a function}

Calculation:

The given function is

f = {(2, 4), (29, -7), (44, 4), (54, 2)}

So, the x coordinates of the function are formulated in a set as {2, 29, 44, 54} and the y coordinates are {-7, 2, 4}

Where output 4 is repeated.

Then, the domain of the function is given by the set {2, 29, 44, 54} and the range of the function is given by the set {-7, 2, 4}.

The mapping of the given function is shown in the figure below.

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a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet

Answers

The length of the actual wall in feet is 4.69 feet.

In mathematics, what are scales?

The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.

In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:

= 3 × 25

= 75 inches

Since 1 feet = 16 inches

75 inches will be:

= 75/16

= 4.69 feet.

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Jen Butler ha been pricing Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the adult' ticket and the price of a child' ticket

Answers

The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.

The price of the adult ticket and the price of a child ticket can be calculated by using algebraic expressions as follows;

Considering adult ticket price = y and child ticket price = x;

The algebraic equations for tickets can be given as follows;

3y + 4x = $129

2y + 3x = $92

Now we can calculate y as follows;

3y + 4x = 129

3y = 129 - 4x

y = 129 - 4x / 3

Adding this value of y in the second equation as follows;

2y + 3x = 92

2(129 - 4x / 3) + 3x = 92

258 - 8x / 3 + 3x = 92

258 - 8x / 3 = 92 - 3x

258 - 8x = 3(92 - 3x)

258 - 8x = 276 - 9x

9x - 8x = 276 - 258

x = $18

Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;

2y + 3x = 92

2y + 3(18) = 92

2y + 54 = 92

2y = 38

y = 38 / 2

y = $19

Therefore the price of an adult ticket is $19.

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Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent

Answers

If Caleb dinner was for $21 then the total bill including tip will be $27.51 .

Caleb went out for the dinner ;

the amount for the dinner = $21 ;

the percent of tip that Caleb want to leave = 31% ;

that means ; tip amount = 31% of dinner amount ;

So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;

the tip amount = $6.51 ;

the total bill = bill for dinner + tip amount = $21 + $6.51 ;

= $27.51 .

Therefore , the total bill amount is 27 dollars and 51 cents .

The given question is incomplete , the complete question is

Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?

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Algebra 1: Write and solve two-variable linear equations: word problems

Riley plans to join a members-only speaker series for $50. As a member, she will pay just $12.50 for each event she attends.

Write an equation that shows how the total cost, y, depends on the number of events Riley attends, x.

Do not include dollar signs in the equation.

Answers

Answer:

y = 12.50x + 50

Step-by-step explanation:

The linear equation is y=mx + b

b in this one is 50

And the x or the slope is 12.50

List the statements and reasons thanks!

Answers

The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

How to carry out congruency proof?

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

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for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?

Answers

The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

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I need help to understand this problem cause I forgot how to do it.

Answers

Answer:

f (-4) = -5

Step-by-step explanation:

Look at the graph and see the y coordinates when x = -4.

Here, when x = -4, y = -5.

At his job, Jake earns $7.50 per hour. He also earns a $55 bonus every month. Jake
needs to earn at least $235 every month.

Part A. Jake determines that the inequality 7.50h + 55 ≥ 235 can be used to calculate
the number of hours he needs to work each month. Explain why the symbol ≥ is used
within the inequality.

Part B. Solve and graph the solution set for the number of hours Jake needs to work
each month.

Answers

a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.

b) The solution to the inequality is given as follows:

h ≥ 24.

This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.

How to solve the inequality?

The inequality in this problem is defined as follows:

7.50h + 55 ≥ 235.

It gives the number of hours that Jake must work to earn at least $253.

The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.

The solution is then obtained as follows:

7.50h + 55 ≥ 235

7.5h ≥ 180

h ≥ 180/7.5

h ≥ 24.

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FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value

Answers

variability.

In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.

There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.

In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.