Twenty-one out of 70 customers at the restaurant ordered dessert. What percentage of the customers did not order dessert?

Each shirt costs approximately $0.66, each pair of slacks costs approximately $8.97, and each sports coat costs approximately $11.80.

To find the cost of each item, we need to solve a system of equations. Let x be the cost of each shirt, y be the cost of each pair of slacks, and z be the cost of each sports coat. From the given information, we can set up the following equations:

3x + y = 10.96

7x + 2y + z = 30.40

4x + z = 14.45

Now, we can solve the system of equations using any method of our choice. Let's use the method of substitution:

From equation 1, we can solve for y: y = 10.96 - 3x.

Substituting this value of y into equation 2, we get: 7x + 2(10.96 - 3x) + z = 30.40.

Simplifying and rearranging this equation gives us: -5x + z = 8.48.

Now, we can solve for z in terms of x from equation 3: z = 14.45 - 4x.

Substituting this value of z into the equation we obtained earlier, we get: -5x + (14.45 - 4x) = 8.48.

Simplifying and rearranging this equation gives us: -9x + 14.45 = 8.48.

Now, we can solve for x:

-9x = 8.48 - 14.45

-9x = -5.97

x = -5.97 / -9

x = 0.6633

Therefore, each shirt costs approximately $0.66.

Now that we know the value of x, we can substitute it back into equation 3 to find the cost of each sports coat:

z = 14.45 - 4(0.6633)

z = 14.45 - 2.6532

z = 11.7968

Therefore, each sports coat costs approximately $11.80.

Finally, we can substitute the values of x and z into equation 1 to find the cost of each pair of slacks:

3(0.6633) + y = 10.96

1.99 + y = 10.96

y = 10.96 - 1.99

y = 8.97

Therefore, each pair of slacks costs approximately $8.97.

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=3(\frac{1}{4} )^{x}[/tex]

To find those ordered pairs that lie on the graph, we need to evaluate each of them

A.  (−2,48) ​

[tex]f(-2)=3(\frac{1}{4} )^{-2}=3(4)^{2}=3(16)=48[/tex]

This pair lies on the graph.

B. (0,3)

[tex]f(0)=3(\frac{1}{4} )^{0}=3(1)=3[/tex]

This pair lies on the graph.

C. (2,3/16) ​

[tex]f(2)=3(\frac{1}{4} )^{2}=3(\frac{1}{16} )=\frac{3}{16}[/tex]

This pair also lies on the graph.

D.​ (12,0) ​

[tex]f(12)=3(\frac{1}{4} )^{12}=\frac{3}{16,777,216}[/tex]

This pair doesn't lie on the graph, because it doesn't satisfy the exponential function.

Therefore, the right asnwer are A, B and C.

Answer:

The answer is 2 because you are taking the discounted price and multiplying it by the original price to get your answer to this problem.

Step-by-step explanation:

A real-life problem that involves dividing a decimal by a whole number is calculating the average score of a student in a class.

A real-life problem that involves dividing a decimal by a whole number is calculating the average score of a student in a class. For example, if a student scores 85.4, 72.6, 90.2, and 65.3 on four tests, we can divide the sum of these scores (313.5) by the total number of tests (4) to find the average score (78.375). This demonstrates the division of a decimal (313.5) by a whole number (4) to find a real-life result.

Alex will give each of his friends 7/10 or 0.7 of a pizza when he divides 7 pizzas equally among 10 friends.

Alex has 7 pizzas and wants to share them equally with 10 friends. To find out how much pizza each friend will receive, we can set up a division problem: . This means each person gets 7/10 of a pizza.

Using fractional parts as one method, we can visualize slicing each pizza into 10 equal parts and each friend getting 7 of those slices. Therefore, each person ends up with 7 slices, where each slice is 1/10 of a whole pizza. Hence, every friend gets 7/10 or 0.7 of a pizza when it is divided equally.

Each friend will get 7 tenths of a pizza, or more practically, each friend will receive 0.7 of a pizza.

To solve the problem, we need to divide the total number of pizzas Alex has by the number of friends he wants to share them with.

Alex has 7 pizzas, and he wants to share them equally with 10 friends.

The division of pizzas per friend can be represented by the fraction:

[tex]\[ \text{Pizzas per friend} = \frac{\text{Total pizzas}}{\text{Number of friends}} \][/tex]

[tex]\[ \text{Pizzas per friend} = \frac{7}{10} \][/tex]

[tex]\text{Pizzas per friend} = 0.7[/tex]

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

a.       Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

The equation is y = -3/2x + 30

b.      Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

c.       What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20

Answer:

my friend here justin and he is carck at fortnite my guy

Step-by-step explanation:

Half of the white squares on a chess board have pieces on them at the start of a game. This is represented by the simplified fraction 1/2.

To calculate what fraction of the white squares on a chess board has chess pieces at the start of the game, you start by considering the total number of white squares. A chess board consists of 64 squares, half of which are white, giving us a total of 32 white squares. At the start, 16 white squares are covered with pieces. Therefore, the fraction of white squares that have chess pieces is 16 out of 32 (16/32).

To simplify this fraction, you look for the greatest common divisor of both the numerator and the denominator. In this case, both 16 and 32 are divisible by 16. After simplifying, 16 divided by 16 gives you 1, and 32 divided by 16 gives you 2, so the simplest form of the fraction is 1/2.

Answer:

the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

Step-by-step explanation:

The distributive property says that:

[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]

To find the product:

[tex](4h+6)(4h-7)[/tex]

then;

[tex]4h(4h-7)+6(4h-7)[/tex]

Apply the distributive property we have;

[tex]16h^2-28h+24h-42[/tex]

Combine like terms we have;

[tex]16h^2-4h-42[/tex]

therefore, the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]

Answer:

Step-by-step explanation:

Alright, lets get started.

Using the formula for exponential growth,

[tex]y=a(1+r)^x[/tex]

r is given s 1.5 times means the growth rate is 50% growth means r = 0.5

[tex]y=11(1+0.5)^6[/tex]

[tex]y=11*1.5^6[/tex]

[tex]y=11*11.390625[/tex]

[tex]y=125.296875[/tex]

[tex]y=125.30[/tex]

So, the area moss will cover is 125.30 square cm   :   Answer

Hope it will help :)

Answer:

the answer is c 125.3

The correct equation for Marco to determine the price of each floral arrangement is 'C = 11r + 4', which represents the total cost of the arrangement 'C' calculated by summing the cost of 11 orchids (11 times 'r') and the cost of one vase ($4.00).

To determine the total cost of each floral arrangement that Marco is selling, the cost of the vase and the cost of the orchids used in the arrangement must be added together. As per the question, each arrangement uses one vase that costs $4.00 and 11 orchids. However, the cost of individual orchids is not mentioned and represented by 'r' in the question.

Therefore, the equation Marco should use to find the total cost of each floral arrangement is D. C = 11r + 4. This equation denotes that the total cost of the arrangement 'C' is the sum of the cost of 11 orchids (11 times 'r', where 'r' is the cost of one orchid), and the cost of the vase which is $4.00.

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Answer:

The value of x is 7.

Step-by-step explanation:

I got it correct, trust me.

The difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that Oakland has an elevation of 1,639 feet above sea level.

And Lake enriquillo’s elevation is 149 feet below sea level.

We have to determine the difference in elevation if the lake had formed 149 feet above sea level.

So the difference in elevation if the lake had formed 149 feet above sea level as

⇒ 1639 - (-149)

⇒ 1639 + 149

⇒ 1788.

Hence, the difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.

Learn more about the Arithmetic operations here:

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