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forsale [732]
3 years ago
5

Each package of hot dog buns contains 8 buns. Let p be the number of packages of hot dog buns and b be the total number of buns.

Determine which variable is independent and which is dependent. Then, write an equation that models the situation, and make a table showing the number of hot dog buns in 3 to 8 packages.
Mathematics
1 answer:
sveta [45]3 years ago
8 0

Answer with explanation:

Given : Each package of hot dog buns contains 8 buns.

Let p be the number of packages of hot dog buns and b be the total number of buns.

∵ number of buns dependent on the number of packages of hot dogs required.

Thus , the independent variable is p →the number of packages .

and dependent variable is b → the number of buns.

The equation that models the situation : b=8p

<u>Required table</u> :

<h2>p            b</h2>

3            8(3)=24

4            8(4)=32

5           8(5)=40

6            8(6)=48

7            8(7)=56

8            8(8)=64

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o-na [289]

Answer:

The number is <u>20</u>.

Step-by-step explanation:

In this question, it is said that 35% of a number is equal to 7, then what is that number?

So, let the number be <em>x</em>.

Now, according to the question :

\begin{gathered} \begin{array}{l} \quad{\dashrightarrow{\sf{35 \% \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100}  \times x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35 \times x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{x = 7 \times \dfrac{100}{35}}}}\\\\\quad{\dashrightarrow{\sf{x =\dfrac{700}{35}}}}\\\\ \quad{\dashrightarrow{\sf{x = \cancel{\dfrac{700}{35}}}}}\\\\ \quad{\dashrightarrow{\sf{x =20}}}\\\\ \quad{\star{\underline{\boxed{\tt{\red{x =20}}}}}} \end{array}\end{gathered}

Hence, the number is 20.

\rule{300}{2.5}

3 0
2 years ago
Read 2 more answers
Solve for x <br> This is also an octagon if it helps!
Karo-lina-s [1.5K]

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

8 0
3 years ago
Can someone answer this problem fast for me please
agasfer [191]

1 \times  {3}^{100}
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What is the x-coordinate of the solution of the system?<br> x+y+3<br> 4x-y=-38
steposvetlana [31]

<em>Note: I am assuming the first equation is:</em>

<em>x+y = 3</em>

Answer:

The solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}

subtracting the equations

x-y=-38

-

\underline{x+y=34}

-2y=-72

solve -2y for y

-2y=-72

Divide both sides by -2

\frac{-2y}{-2}=\frac{-72}{-2}

y=36

For x+y=34 plug in y = 36

x+36=34

Subtract 36 from both sides

x+36-36=34-36

Simplify

x=-2

Thus, the solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

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40,000 is the answer
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