a.
h = 2c - 3

b.
3h + 1.5c = 201

c.
We have a system of equations from part a and b.
h = 2c - 3 (equation 1)
3h + 1.5c = 201 (equation 2)

We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28

Plug this value back in equation 1 to get
h = 2c - 3
>> h = 2(28) - 3 = 56 - 3 = 53

So, c = 28 and h = 53 implies that 28 corndogs and 53 hotdogs were sold.

3 0

3 years ago

Rick's car gets 29.7 miles per gallon of gasoline when driving on the highway. If his fuel tank holds 10.45 gallons of gasoline,

Kazeer [188]

Answer:

310.365 miles

Step-by-step explanation:

10.45*29.7=310.365

7 0

3 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

6 0

3 years ago

Identify the equation in the following table

yan [13]

The answer is c y=3x-1 if you just plug in the numbers you can see if it is equal

6 0

3 years ago