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2 years ago

eight hot dogs at the baseball park cost $28. how much does one hot dog cost? (let h = price of hot dog)

Mathematics

2 answers:

tangare [24]2 years ago

8 0

Answer: $3.50

Step-by-step explanation:28/8=3.5

=3.50

-Dominant- [34]2 years ago

3 0

Answer: h=3.50

Step-by-step explanation:28/8=h. This is the equation because in order to find the answer you must find the unit rate. In order to do so you grab the total cost and than the amount of something and divide them in order to find the answer.

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Find the solution to the system of equations below. 2y = 2x - 8 2x + y = 5

ladessa [460]

Answer:

The solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

$2y = 2x - 8$

$2x + y = 5$

Let us solve the system of equations using the elimination method

$\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}$

Multiply y + 2x = 5 by 2: 2y + 4x = 10

$\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}$

subtracting the equations

$2y+4x=10$

$-$

$\underline{2y-2x=-8}$

$6x=18$

solve 6x = 18 for x

$6x=18$

Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$

simplify

$x=3$

For 2y - 2x = -8 plug in x = 3

$2y-2\cdot \:3=-8$

$2y-6=-8$

Add 6 to both sides

$2y-6+6=-8+6$

Simplify

$2y=-2$

Divide both sides by 2

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

Simplify

$y=-1$

Therefore, the solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

8 0

2 years ago

Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

Volume of the grapefruit

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

Volume of the lime

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

8 0

2 years ago

Write an equation to find the total number of the hours h the instructor exercises in any number of weeks w.

8090 [49]

Answer:

wh/w=h

Step-by-step explanation:

in a day the no. of hours are h and ythe no of weeks are w

so wh/w=h

3 0

2 years ago

The set of ————— consists of counting numbers, their opposites, and zero.

Nookie1986 [14]

Answer:

Integers

Step-by-step explanation:

Counting Numbers are {1,2,3,4,5,...}

Its opposite would be -1,-2,-3,-4,-5,... respectively.

It includes 0 so the whole set would be

{ ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }

which is set of integers.

3 0

3 years ago

Read 2 more answers

Someone please help me with this question please

arsen [322]

Answer:

First option

Step-by-step explanation:

Formula of perimeter =

Length + Length + Breadth + Breadth

So,

4x + 8 + 4x + 8 = 8x + 16

8x + 16 + 2x - 3 + 2x - 3 = 12x + 10

5 0

2 years ago

Read 2 more answers