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2 years ago

N divided by 3/5=13 1/3

Mathematics

1 answer:

Katen [24]2 years ago

8 0

N / (3/5 )=(40/3)
n= (40/3)*(5/3)
n= (200/9)
n = 22 2/9

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In elimination what is... <br> 3x+2y=-29<br>-<br>- 3x-57 = 25<br>

andrezito [222]

Answer:

(82/3, -111/2) or x=82/3, y=-111/2

Step-by-step explanation:

4 0

3 years ago

You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is

Rudik [331]

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 9 $3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8$ 6 sq. feet

Width of bathroom be x

Given that the length of the bathroom is one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of bathroom is 86 sq. feet, therefore

$3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8$

Thus, width of bathroom is 8 feet.

4 0

2 years ago

Write an equation of the line that passes through the point (4, –5) with slope 2.

yan [13]

It’s C, y + 5 = 2(x - 4).

In y = mx + b form:
y = 2x - 13

5 0

2 years ago

Isaiah has $145 in his savings account. He earns $36 a week mowing lawns.

valentina_108 [34]

Answer:

8 weeks

Step-by-step explanation:

Amount saved from mowing lawns = $433 - $145

= $288

Number of weeks to save $288 from $36 a week = 288/36 = 8 weeks

3 0

2 years ago

A,B and C are the vertices of one triangle.

dsp73

Answer:

Step-by-step explanation:

Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.

To prove: DE is parallel to BC.

Construction: Join DE.

Proof: If we prove the basic proportionality theorem that is $\frac{AD}{DB}=\frac{AE}{EC}$ , then it proves that DE is parallel to BC.

Now, Mid Point D has coordinates= $(\frac{4+2}{2},\frac{6-2}{2})=(3,2)$ and Mid Point E has coordinates= $(\frac{4-2}{2},\frac{6-4}{2})=(1,1)$

Now, AD= $\sqrt{(4-3)^{2}+(6-2)^{2}}=\sqrt{17}$

DB= $\sqrt{(3-2)^{2}+(2+2)^{2}}=\sqrt{17}$

AE= $\sqrt{(4-1)^{2}+(6-1)^{2}}=\sqrt{34}$

EC= $\sqrt{(1+2)^{2}+(1+4)^{2}}=\sqrt{34}$

Now, $\frac{AD}{DB}=\frac{AE}{EC}$

= $\frac{\sqrt{17}}{\sqrt{17}}=\frac{\sqrt{34}}{\sqrt{34}}=\frac{1}{1}$

Hence, $\frac{AD}{DB}=\frac{AE}{EC}$

Thus, By basic proportionality theorem, DE is parallel to BC.

4 0

3 years ago

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