A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?

Fourteen less children’s meals were served than adult meals at a barbecue. Children plate were 1.50 each and adult plates were 2

Annette [7]

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

7 0

3 years ago

How much does the angels add up to in a rectangle

monitta

One of the requirements of a rectangle is that it must have four right angles ( a right angle is 90 degrees) so you just multiply 90 by 4 and you get 360 degrees

6 0

3 years ago

Read 2 more answers

7. point A(-2, 7); parallel to the line y = - 3x - 4

aniked [119]

Answer:

y=-3x+1

Step-by-step explanation:

plug in point into x and y, replace -4 as a +b(or any other variable to represent y intercept)

therefore,

7=-3(-2)+b

7=6+b

1=b

y=-3x+1

8 0

3 years ago

What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?

goldenfox [79]

<h2>Answer: y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2>

<h3>Step-by-step explanation: </h3>

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.

<u>Finding the Slope </u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (4 - 1) ÷ (-8 - (-2))

= - ¹/₂

<u>Finding the Equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - 1 = - ¹/₂ (x - (-2))

∴ y - 1 = - ¹/₂ (x + 2)

we could also transform this into the slope-intercept form ( y = mx + c)

since y - 1 = - ¹/₂ (x + 2)

⇒ y = - ¹/₂ x

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

7 0

3 years ago

Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i

lara31 [8.8K]

Answer:

<em>The area of the shaded part = 61.46</em>

<em />

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: $c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100$

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

The total area of 2 semi circles is equal to the area of the circle with radius =5

=> The total area of 2 semi circles is: $\pi$ x $5^{2}$ = 25 $\pi$

The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x $2\sqrt{5\\$ x $4\sqrt{5}$ = 20

=> The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

The area of the square is: $c^{2}$ = $10^{2} =100$

It can be seen that:

<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>

6 0

3 years ago