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zaharov [31]
3 years ago
7

the table below shows a proportional relationship fill in the missing values servings 12 ,4 16 ,8 ounces 21 ? ? ? please help wi

ll maemrk brainest explain ​
Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer: the missing values are 7, 28 and 14

Step-by-step explanation:

In a proportional relationship, there is a constant relationship between the given variables. Thus, for any change in the value of one variable, there is a corresponding change in the value of the other variable.

The table shows a proportional relationship between values of servings

12 ,4 16 ,8

and values of ounces

21 ? ? ?

Let the missing values be x, y and z

Therefore,

21/12 = x/4

1.75 = x/4

x = 4 × 1.75

x = 7

21/12 = y/16

y = 16 × 1.75 = 28

21/12 = z/8

z = 1.75 × 8 = 14

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A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec
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Let's check each case to determine the solution to the problem.

we know that

The cost of each flower  arrangements is \$28

Statements

<u>case A)</u> If the price is marked down by 10 percent, the new price will be \$25.20

we know that

If the price is marked down by 10 percent

then

the new price will be

10\%= \frac{10}{100} =0.10  

(1-0.10)*\$28=0.90*\$28 \\= \$25.20

\$25.20=\$25.20

therefore

The statement case A) is True

<u>case B)</u> If the price is marked down by 25 percent, the new price will be \$21

we know that

If the price is marked down by 25 percent

then

the new price will be

25\%= \frac{25}{100} =0.25  

(1-0.25)*\$28=0.75*\$28 \\= \$21

\$21=\$21

therefore

The statement case B) is True

<u>case C)</u> If the price is marked down by 50 percent, the new price will be \$19

we know that

If the price is marked down by 50 percent

then

the new price will be

50\%= \frac{50}{100} =0.50  

(1-0.50)*\$28=0.50*\$28 \\= \$14

\$14 \neq \$19

therefore

The statement case C) is False

<u>case D)</u> If the price is marked down by 35 percent, the new price will be \$18.20

we know that

If the price is marked down by 35 percent

then

the new price will be

35\%= \frac{35}{100} =0.35  

(1-0.35)*\$28=0.65*\$28 \\= \$18.20

\$18.20=\$18.20

therefore

The statement case D) is True

<u>case E)</u> If the price is marked down by 40 percent, the new price will be \$29.80

we know that

If the price is marked down by 40 percent

then

the new price will be

40\%= \frac{40}{100} =0.40  

(1-0.40)*\$28=0.60*\$28 \\= \$16.80

\$16.80 \neq \$29.80

therefore

The statement case E) is False


7 0
3 years ago
Read 2 more answers
Factor trinomial x^2n+10x^n+16​
iragen [17]

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

8 0
3 years ago
A function, F(x), is shown below.
Maksim231197 [3]

Answer:

  range of f(x) = [-4, -2) ∪ [2, 8)

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Step-by-step explanation:

The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.

The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.

The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.

7 0
3 years ago
How many servings are in 1.2 gallon container
shepuryov [24]
There would be 19.2 cups. At least from what I am thinking of. So you would get 19 cups and about a fourth of another cup. I hope this helps! :)
7 0
3 years ago
How do you slove 2/3 (9x -6) = 14
Ivanshal [37]

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2

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(

2

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6x+−4=14

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6x−4+4=14+4

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Step 3: Divide both sides by 6.

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