Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 6 Douglas Fir trees and 16 Noble Fir trees, earning a total of $986. In the afternoon, they sold 6 Douglas Fir trees and 24 Noble Fir trees, earning a total of $1,386. How much does each type of tree cost?

A Douglas Fir costs $_____
and a Noble Fir costs $_______

Answer:

Math: the science and study of quality, structure, space, and change.

The amount that Sascha will receive in annual interest based on the information is $63.40.

From the information, Sascha owns stock in Lewis Corp, and she bought a $1,000 corporate bond and the bond pays 6.34% annual interest.

In this case, it should be noted that the simple interest is calculated as:

Principal × Rate × Time

Principal = $1000

Time = 1 year

Rate = 6.34%

The interest will be:

= Principal × Rate × Time

= 1000 × 0.0634 × 1

= $63.40

The interest is $63.40.

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Answer:

-------------------------------

The greatest value of the function is - 3.

Answer:

See attached worksheet.

Step-by-step explanation:

The worksheet summarizes the steps for analyzing the data on the graph.  Note that a "line of best fit" was drawn to help illustrate the linear behavior of the data, and to better the question concerning hours of sunshine in another British town.  There are techniques for ensuring a line such as this fits the actual data as closely as possible.  These techniques draw a line that has the least overall deviation from the actual data.  For our purposes, a hand-drawn line appears to match the data reasonably well, so we are able to concule that the relationship is liner:  There is a proportional change in y for every set change in x.  That change is known as the slope.  The slope of this liner would represent the direct relationship between hours of sun and maximum temperature.

ans=y=8

[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]

8-8=0

-7--9=2

hence the gradient is 0÷2=0

gradient(0)=

[tex] \frac{y - 8}{x - - 9?} [/tex]

so..,0=y-8

hence the equation is y=8

Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

The equivalent monthly rate of the number of security breaches is of 5.31%, using an exponential function.

An increasing exponential function is modeled according to the rule presented by the equation as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the exponential function are listed as follows:

In the context of this problem, considering the increase at an yearly rate of 86%, the parameter rate r is given as follows:

r = 0.86.

Hence the function is defined as follows:

[tex]A(t) = A(0)(1.86)^t[/tex]

One year is composed by 12 months, hence the monthly increase is calculated as follows:

[tex]r_m = (1.86)^{\frac{1}{12}} - 1 = 0.0531[/tex]

The monthly increase rate is of 5.31%.

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Answer:

The answer is 5.3

Answer:

The answer is gonna be B. Sorry if I’m late :((

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The value of prime numbers c in the equation is c = 2.

What is prime numbers?

Those greater than one are known as prime numbers. They simply have two variables, the number itself and factor 1.

We have given that a - b = c requires all of the integers to be positive prime numbers,

c can only have one outcome, which is 2.

                 [tex]e.g., 13 - 11 = 7 - 5 = 2.[/tex]

Hence in the given prime numbers c in the equation is c = 2.

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The number of sodas sold is 168

The number of hot dogs sold is 56

Total of sodas and hot dogs=224

Let the number of sodas sold be s, and the number of hot dogs sold be s

So we have the following:

s=3h.................i

s+h=224..........ii

we solve the two equation to find the value of s and h,

From equation ii, s=224-h, replacing this in equation i, we have:

224-h=3h

224=4h

h=56

Now, s=3*56

          =168

s=168

Number of sodas=168

Number of hot dog sold=56

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The complete question is given below;

A vender sold a combined total of 224 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00 thus option (B) is correct.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

Cost of bandana = $3.75

Budget = $0.75

Budget deficit = $3.75 -$0.75

⇒ $3.00

Hence, "The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00".

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The given question is incorrect, the correct question follows;

Bobbi wants to buy a bandanna that costs $3.75, but she has only $0.75 in her budget. What is her budget deficit?

A. $0.20

B.$ 3.00

C. $5.00

D.$4.50

The spreadsheet that shows the distances between the cities, indicates that the distances between the cities are as follows;

a) From Hereford to Chester, the distance is 95 miles

b) Chester is the town that is 99 miles from Kendal

c) Ellen will have driven 201 miles if she drives from Kendal to Hereford through Chester

A spreadsheet application is used for the storage analysis, organization, and computation of data.

The interpretation of the distances in the chart which is in the form of a spreadsheet are;

The value in the cell corresponding to the distance from Kendal to Chester that is the cell which is on the same column as Kendal and on the same row as Chester is 99

Therefore, the distance from Kendal to Chester is 99 miles

The value in the cell that directly links Chester to Hereford that is the cell which is on the same column as Chester and on the same row as Hereford is 95

Therefore, the distance from Chester to Hereford is 95 miles

The value in the cell that connects Kendal to Hereford, that is the cell which is on the same column as Kendal and which is on the same row as Hereford is 201

Therefore the distance from Kendal to Hereford is 201 miles

a) The distance from Hereford to Chester is 95 miles

b) The town that is 99 miles from Kendal is Chester

c) The distance Ellen will have driven if she drives from Kendal to Hereford via Chester is 201 miles

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The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5

The equation of the function is given as

f(x) = 7x²

Also, we have

Vertex = (3, 5)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (3, 5)

Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 3)² + 5

This also means that

f(x) = 7(x - 3)² + 5

The 7 is gotten from f(x) = 7x²

Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5

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The triangles are congruent by ASA(angle side angle) theorem

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.

There are different ways to find that out that triangles are congruent.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Therefore, the triangles are congruent by ASA(angle side angle) theorem.

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The area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.

When calculating a rectangle's area, we multiply the length by the width of the rectangle.

The area of the floors and walls must be measured before applying carpet or tiles on the floor, painting the walls, or installing cabinets in a space.

Given: A rectangular garden has x and y dimensions. The garden's width is increased by 2 feet while its length is decreased by 3 feet.

New length = x-3

New width = y+2

Area of new garden is given as:

=(length)(width)

= (x-3)(y+2)

Therefore, the area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.

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Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.

A system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

x + y= 10

2x+3y= 24

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation:

x= 10 - y

Replacing this expression in the second equation:

2×(10-y)+3y= 24

Solving:

2×10 -2y +3y= 24

20 -2y +3y= 24

-2y +3y= 24 - 20

y= 4

Remembering that x= 10 -y, you get:

x= 10 -4

x= 6

Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.

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do you mean 712 or 7.12?

If for 712 it is 1808.48

if for 7.12 it is 18.0848

The value of y is 24 when x is -2.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

There are direct variations

y= 24 when x=2

We need to find value of y when x =-2

This can be found by forming an equation.

Let the value of unknown y be a

2/24=-4/a

Apply cross multiplication

2a=24(-2)

2a=-48

We need to divide by 2 on both sides

a=-24

Hence the value of y is 24 when x is -2.

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Answer:

5/11 > 4/9

Step-by-step explanation:

5/11 = 0.45454545....

4/9 = 0.44444444....

The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1

From the question, the given parameters about the distribution are

The standard deviation is the square root of variance

So, we have

Standard deviation = 6

The z-score is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (0.5 - 127)/6

Evaluate

z = -21.08

The probability is then calculated as:

P(x > 0.5) = P(z > -21.08)

From the z table of probabilities, we have;

P(x < 0.5) = 1

Hence, the probability is 1.0

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Magnitude of an earthquake releasing 3.4*10^14 joules of energy is M ≈ 6.754.

Given:

The magnitude, M, of an earthquake is represented by the equation M=2/3log(E/E0) where E is the amount of energy released by the earthquake in joules and E0=10^4.4 .

E = 3.4*10^14

M = 2/3*log(3.4*10^14 / 10^4.4)

= 2/3*log(13535643798.8)

= 2/3*10.1314

= 20.2628 / 3

M = 6.754

Therefore Magnitude of an earthquake releasing 3.4⋅1014 joules of energy is M ≈ 6.754.

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Answer:

y=1/3x+6

Step-by-step explanation:

Use the formula "Y=mx+b"

Answer:

y= -1/3x - 6

Step-by-step explanation:

x+3y = -18

3y = -x -18

y= -1/3x - 6

The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

Given that,

In the picture we can see the domain and range.

We have to find if the domain and range is function or not.

Each of the sets of domain values has precisely one range value, according to the mapping.

Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.

Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

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Answer:

y = -x + 4

Step-by-step explanation:

The equation of a line follows the form y=mx+c, where x and y are the coordinates, c is the y-intercept (the value of x where the line crosses the y-axis), and m is the slope.

We are given two points/coordinates - (-3,7) and (1,3) - so we know the following is true for our equation:

7=-3m+c

3=m+c

Rearranging the second equation above, we get c=3-m. Sub this into the first one, and we get

7=-3m+3-m

4=-4m

m=-1

Knowing c=3-m, we can say c=3-(-1)=3+1=4

Having found values for m and c, we can now write our equation:

y = -x + 4

Hope this helps :)

The graph of the function  y=3 -1/2x is attached below.

Function:

Function refers the relationship between inputs where each input is related to exactly one output.

Given,

Here we have the function  y=3 -1/2x.

Now, we have to plot the graph of the function.

In order to plot the graph of the function, we have to take some sample values for x.

So, we will take the values of the x as -2, -1, 0, 1, 2.

Now, we have to apply the values on the given function then we get,

=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4

=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5

=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3

=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5

=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2

When we enter these values into the table, then we get the table like the following.

By using the table we have to plot the graph and then we get the graph like the following.

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Answer: No

Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.

Answer:

C) 9 hours

Step-by-step explanation:

as per your picture the equation is

D(t) = 0.75×cos(pi/6 × t) + 1.5

the function cosine continuously "waves" from +1 to -1 and back.

the lowest value of this function for the first time after t>0 is when the cosine part reaches -1 the first time.

that is at 270° or 3pi/2.

so,

pi/6 × t = 3pi/2

1/6 × t = 3/2

t = 3×6/2 = 3×3 = 9

The amount of pasta and sauce since he wants each bag to have the same amount is 16.

A factor simply means a number that can multiplied with another number which is also.a factor to get the original number.

In this case, Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive.

It should be noted that to get the number in each bag, it means that we have to find the highest common factor for both numbers. This will be:

Factors of 32 = 1, 2, 3, 4, 6, 8, 16 and 32

Factor of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Therefore, the answer is 16.

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Answer:

addition?

Step-by-step explanation: