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Alex_Xolod [135]
4 years ago
14

Decide whether the point is a solution of the equation.2x - 3y = 6 (1,-3)​

Mathematics
1 answer:
pochemuha4 years ago
6 0

Answer:

no

Step-by-step explanation:

2(1) -3(-3) = 6

2+9=6

11=6

this is not true because 11 does not equal 6

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Suppose you want to place a shelf that is 30 1/3 inches long in the center of a wall that is 45 3/4 inches wide. About how fare
mrs_skeptik [129]

Answer:

7.71 inches far from each edge of the wall you should place the shelf.

Step-by-step explanation:

Given:

\textrm{size of a shelf}=30\frac{1}{3} =\frac{91}{3}=30.33\ inches\\\textrm{size of a wall}=45\frac{3}{4} =\frac{183}{4}=45.75\ inches\\

Let,

AB = distance between the edges or distance of wall.

ED = size of the shelf.

C is the centre of the wall.

To Find:

Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.

AE = DB = ?

Solution:

As we need to place the shelf exactly in the center.

First we will calculate the  distance from the center of the wall to the edge.

So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.

CB = \frac{1}{2}\times AB\\ =\frac{1}{2}\times 45.75\\\therefore CB=22.875\ inches

now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.

CE = \frac{1}{2}\times DE\\ =\frac{1}{2}\times 30.33\\\therefore CB=15.165\ inches

Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.

AE=BD= BC-CD\\=22.875-15.165\\=7.71\ inches\\\therefore AE = BD = 7.71\ inches

Therefore, 7.71 inches far from each edge of the wall you should place the shelf.

5 0
3 years ago
A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea
gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{1250}{314}

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

5 0
3 years ago
You decide to buy a car with a base price of $11,499 at an interest rate of 6.2%. The car will be compounded monthly in those 5
qaws [65]

Answer:

A = $15,696.72

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r/n)^(nt).  Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.

Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:

A = $11,499(1 + 0.0052)^60, or

A = $15,696.72

The monthly payment is $15,696.72/60, or $261.61.

5 0
3 years ago
A set of equations is given below: Equation E: a = 5b + 1 Equation F: a = 3b + 4 Which statement describes a step that can be us
stiv31 [10]

Answer:

Equation F can be written as 5b + 1 = 3b + 4.

Step-by-step explanation:

because i got it right and i am big brain

5 0
3 years ago
Please Help!! The graph of the line y = 4 is a A) vertical line with a slope of zero. B) horizontal line with a slope of zero. E
AnnyKZ [126]
The answer is D that a horizontal line with an undefined slope. This is because the coordinate is (0,4)
6 0
3 years ago
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