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Neporo4naja [7]

3 years ago

13

Kenny wants to install new carpet in his basement game room. Carpets 'N More sells carpet for $5.39 per square foot. How much wi

ll it cost Kenny to install new carpet in the game room? Use the picture below to help you calculate the cost of the new carpet. **Carpet will not be installed on the stairs.

1 answer:

vivado [14]3 years ago

4 0

Answer:

you know you can ask the question online right...

Step-by-step explanation:

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Answer both please, the topic is linear inequalities, and please explain it to me.

Bogdan [553]

<u>Question 1 solution:</u>
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:

Part 1) W→ , R←(against current, upstream)
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:

</span>R–W=2 - equation 1

Part 2) W→ , R<span>→</span>(with current)
Therefore, R+W=3 - equation 2

From equation 1, W=R-2,
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1... R=2+W
2... (2+W)+W=3
2W=1
W=1/2mi/hr

7 0

3 years ago

If 8 is added to twice a number and this sum is multiplied by 3ˏ the result is the number multiplied by 3 and 9 is added to the

9966 [12]

$n-a\ number\\\\(8+2n)\cdot3=3n+9\\\\8\cdot3+2n\cdot3=3n+9\\\\24+6n=3n+9\ \ \ \ /-24\\\\24-24+6n=3n+9-24\\\\6n=3n-15\ \ \ \ /-3n\\\\6n-3n=3n-3n-15\\\\3n=-15\ \ \ \ /:3\\\\3n:3=-15:3\\\\n=-5$

8 0

3 years ago

For a school event, of the athletic field is reserved for the fifth-grade classes.

Rashid [163]

Answer:

1/4

Step-by-step explanation:

4 classes, each class gets one spot!

4 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

$x - y = 25$

$2x + 3y = 180$

(2)

$2x - 3y = -5$

$11x + y = 550$

(3)

$x - y = 19$

$-12x + y = 168$

Solutions

$(-17,-36)$

$(47, 33)$

$(51, 26)$

Required

Match equations with solutions

(1) $x - y = 25$ and $2x + 3y = 180$

Make x the subject in: $x - y = 25$

$x = 25 + y$

Substitute $x = 25 + y$ in $2x + 3y = 180$

$2(25 + y) + 3y = 180$

$50 + 2y + 3y = 180$

$50 + 5y = 180$

Collect like terms

$5y = 180-50$

$5y = 130$

Solve for y

$y =26$

Recall that: $x = 25 + y$

$x = 25 + 26$

$x = 51$

So:

$(x,y) = (51,26)$

(2) $2x - 3y = -5$ and $11x + y = 550$

Make y the subject in $11x + y = 550$

$y = 550 - 11x$

Substitute $y = 550 - 11x$ in $2x - 3y = -5$

$2x - 3(550 - 11x) = -5$

$2x - 1650 + 33x = -5$

Collect like terms

$2x + 33x = -5+1650$

$35x = 1645$

Solve for x

$x = 47$

Solve for y in $y = 550 - 11x$

$y = 550 - 11 * 47$

$y = 550 - 517$

$y = 33$

So:

$(x,y) = (47,33)$

(3)

$x - y = 19$ and $-12x + y = 168$

Make y the subject in $-12x + y = 168$

$y = 168 + 12x$

Substitute $y = 168 + 12x$ in $x - y = 19$

$x - 168 - 12x = 19$

Collect like terms

$x -12x = 168 + 19$

$-11x = 187$

Solve for x

$x = -17$

Solve for y in $y = 168 + 12x$

$y =168-12 *17$

$y =-36$

So:

$(x,y) = (-17,-36)$

4 0

2 years ago

1.John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in. One day, his sink

Vlad [161]

Answer:

$\large\boxed{\large\boxed{85cups}}$

Explanation:

<u>1. Volume of a cup</u>

The shape of the cup is a cylinder. The volume of a cylinder is:

$\text{Volume of a cylinder}=\pi \times (radius)^2\times height$

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

$\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3$

<u>2. Volume of the sink:</u>

The volume of the sink is 1072in³ (note the units is in³ and not in).

<u>3. Divide the volume of the sink by the volume of the cup.</u>

This gives the number of cups that contain a volume equal to the volume of the sink:

$\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups$

8 0

3 years ago