10.Admission to the Carnival is $4. Each game played costs an additional $2.

Mathematics

2 answers:

Maksim231197 [3]2 years ago

6 0

Answer:

y = 4 + 2x

Step-by-step explanation:

Marianna [84]2 years ago

3 0

Answer:

here u go:)

Step-by-step explanation:

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If rectangle is 8 feet long and (7+x) feet wide. what is the area of the rectangle in square feet?

Ksivusya [100]

if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.

5 0

3 years ago

X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

2 years ago

A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.

EastWind [94]

Answer:

Surface Area of right cone

= $\pi r(r+\sqrt{h^2 + r^2}$

$440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\$

$\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227} = 10.96in$