A family reunion of 27 decided to go to Six Flags Magic Mountain. Adult tickets cost $40 each and child tickets cost $30 each. The total cost of all tickets was $930. Use the SUBSTITUTION METHOD to determine how many adults and how many child tickets were purchased?

Answer:

Eder needs 15 cookies and 5 brownies for every 10 plates he makes.

Step-by-step explanation:

In order to know hoy many cookies and brownies Eder needs for 10 plates, given the fact that he needs 6 cookies and 2 brownies for every 4 plates, we need to perform the following calculation:

6C + 2B = 4X (plates)

6/4C + 2/4B = X

1.5C + 0.5 B = X

So, as we can see, 1.5 cookies and 0.5 brownies are needed for every plate. To know how many of those are needed for ten plates, we ned to multiply those numbers by 10.

1.5 x 10 = 15

0.5 x 10 = 5

Eder needs 15 cookies and 5 brownies for every 10 plates he makes.

To model the relationship between the number of months, t, since opening the bank account and the total amount of money, a, deposited into the account, we can use the equation a = 500 + 500t.

To model the relationship between the number of months, t, since opening the bank account and the total amount of money, a, deposited into the account, we need to find the pattern. According to the information given, Ms. Gibson made an initial deposit of $500 and then deposited the same amount each month. This means that the total amount of money, a, deposited after a certain number of months, t, can be represented by the equation:

a = 500 + 500t

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The reasonable estimate is 10.

We can approximate 915.25 to 900.

We can approximate 88.22 to 90.

Then we divide them: [tex]\frac{915.25}{88.22}\approx\frac{900}{90}=10[/tex].

So the reasonable estimate is 10.

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100 is not a reasonable estimate for the operation 915.25 divided by 88.22, as the actual answer is approximately 10.37. While estimates don't provide exact numbers, the difference here is too great for 100 to be considered reasonable, depending on the level of accuracy needed.

In mathematics, estimation is commonly used when you do not need the exact answer, but rather a ballpark number close to the actual value. The student's question revolves around whether 100 is a reasonable estimate for the operation 915.25 divided by 88.22. We can check this by performing the actual division: 915.25 / 88.22 equals approximately 10.37. Although this is not exactly 100, it is within an order of magnitude which might make the estimate reasonable depending on the context. Therefore, as a quick estimate, 100 might not be suitable for high-precision contexts.

It's important to understand how estimates work. Their value is not in providing exact numbers, but in giving a quick understanding of a situation, especially when the exact numbers are complex or cumbersome. Here, however, the difference between the actual result (10.37) and the estimate (100) is quite significant, which suggests that 100 might not be a reasonable estimate in this case, depending on the level of accuracy needed.

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1.8p = 5.04

p = 5.04/1.8

p = 2.8

 it cost $2.80 per pound

Estella buys 1.8 pounds of walnuts for a total of $5.04. She solves the equation 1.8p=5.04 to find the price p in dollars of one pound of walnuts. what does one pound of walnuts cost?

Solution: Let the cost of one pound of walnuts= $p

So, The cost of 1.8 pound of walnuts=$1.8p

Whereas, The cost of 1.8 pound of walnuts=$5.04

So, 1.8p=5.04

Now, To solve for p, Let us isolate p

To isolate p, Let us divide by 1.8 on both sides

[tex] \frac{1.8}{1.8} p=\frac{5.04}{1.8} [/tex]

On dividing 5.04 by 1.8, we get 2.8

[tex] \frac{1}{1} p=\frac{2.8}{1} [/tex]

So, p=2.8

Cost of one pound walnuts is $2.80

Answer:

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.

Answer : The surface area of the package is, [tex]185.9inch^3[/tex]

Step-by-step explanation :

The given package is in cuboid shape. Now we have to calculate the surface area of the package by using volume of cuboid.

Formula used for volume of cuboid is:

[tex]V=2(lb+bh+hl)[/tex]

where,

V = volume of package

l = length of package = [tex]2\frac{1}{3}inch=\frac{7}{3}inch[/tex]

b = width of package = [tex]8\frac{1}{2}inch=\frac{17}{2}inch[/tex]

h = height of package = [tex]6\frac{3}{4}inch=\frac{27}{4}inch[/tex]

Now put all the given values in the above formula, we get:

[tex]V=2\times [(\frac{7}{3}\times \frac{17}{2})+(\frac{17}{2}\times \frac{27}{4})+(\frac{27}{4}\times \frac{7}{3})][/tex]

[tex]V=2\times [\frac{119}{6}+\frac{459}{8}+\frac{63}{4}][/tex]

[tex]V=185.9inch^3[/tex]

Therefore, the surface area of the package is, [tex]185.9inch^3[/tex]

Answer:

No, the correct answer should be 20 percent!

Step-by-step explanation:

14 divided by 70 = 0.2, which equals to 20%

Percentage of Marley's attempts were strikes = 20%

Step-by-step explanation:

Given :

Marley rolled 14 strikes.

Total attempts of Marley = 70

Calculation :

Percentage of Marley's attempts were strikes is

[tex]= \dfrac {14 \times 100}{70}[/tex]

= 20 %

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Given fractions are [tex] \frac{1}{2} ,\frac{3}{5} ,\frac{9}{15} [/tex]

To find the least common denominators of the given fractions, we need to find the least common multiple (L.C.M.) of the numbers given in denominators i.e. 2, 5, and 15.

Finding the LCM of 2, 5, and 15 :-

2 = 1 x 2

5 = 1 x 5

15 = 3 x 5

So least common multiple of 2, 5, and 15 would be (1 x 2 x 3 x 5) = 30.

Hence, common denominator would be 30.

The teacher tells us to double the common denominator to find the answer that is the number of the day.

So we need to double the value of common denominator i.e. 2 x 30 = 60.

It means that 60 is the number of the day.

Hence, 60 is the final answer.

The number of the day is 4.

Least common denominator for 1/2 3/5 and 9/15

To find the least common denominator (LCD) for fractions, we need to find the smallest multiple that is common to all the denominators.

For 1/2, 3/5, and 9/15, the denominators are 2, 5, and 15 respectively.

To find the LCD, we need to double the smallest denominator, which is 2, resulting in an LCD of 4.

Therefore, the number of the day is 4.

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The length of the actual billboard is 24.75 ft.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.

Given:

Scale: 4cm : 9 ft

So, 1 cm = 9/4 ft

Then, length = 11cm

                      = 11 x 9/4

                      = 99/4

                      = 24.75 ft

Hence, the length is 24.75 feet.

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Answer: 1032

Step-by-step explanation: you welcome

Answer:

If the quantity is above the equilibrium point, there is an oversupply.

Step-by-step explanation:

The demand and supply curves intersect at a point called the equilibrium point. At this point, the price and quantity of equilibrium are determined. If we increase the price of the products, there is a decrease in the quantity demanded.

If demand and supply are perfectly elastic, when the price increases, the quantity demanded decreases proportionally. Given this, we can deduce that the collection of funds did not vary from what they would have obtained by selling the rest of the t-shirts at the same price.  

If the quantity is above the equilibrium point, there is an oversupply.

Have a nice day!

Answer:

[tex]35\ pieces[/tex]

Step-by-step explanation:

we know that

To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7

we have that

The total length of the rope is 20 yards

so

[tex]\frac{20}{(4/7)}=\frac{20*7}{4}=35\ pieces[/tex]

Answer:

28 is the answer

Step-by-step explanation:

Answer:

The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere.So following options are correct options

Answer:

A - slowly increasing global temperature

B - caused when atmospheric gases trap heat

E - increasing because of carbon dioxide emissions

Step-by-step explanation:

When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places

A reflection is a mirror image of the shape.

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space

Given,

A figure is reflected across a line

The orientation of the figure or shape changes when it is a reflected across a line

Also, the x-coordinate and y-coordinate change places

Hence, When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places

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The orientation of a figure changes when it is reflected across a line while its shape and size stay consistent, creating a mirror image with symmetry relative to the line of reflection.

When a figure is reflected across a line, its orientation changes, whereas the shape and size of the figure remain the same. The Law of Reflection implies that each point of the figure maintains its distance from the line of reflection but on the opposite side, creating a 'mirror image' or symmetric counterpart. This mirror image aligns with the original figure if an imaginary line were drawn perpendicular to the mirror (line of reflection) at each point, these perpendiculars would be equal in length on both sides. This reflection transformation is an example of a linear transformation, preserving the straightness of lines and parallelism of parallel lines.