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eimsori [14]
3 years ago
8

Please help due tomorrow

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer: x= 2.5, y = 10

Step-by-step explanation:

<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>

If they're proportional, you can set up two proportions:

1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}

And cross-multiply:

1) 6x = 5*3 \\\\2) 3y = 5*6

Then solved for x and y:

1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10

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The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe
Oksanka [162]

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

7 0
3 years ago
An article gave the following summary information for fracture strengths (MPa) of n = 196 ceramic bars fired in a particular kil
Oliga [24]

Answer:

54.80 MPa to 55.92 MPa

Step-by-step explanation:

Sample mean fracture strength (x) = 55.36 MPa

Sample standard deviation (s) = 3.99 MPa

Sample size (n) = 196.

The upper and lower bounds for a 95% confidence interval are given by:

U=x+1.960*\frac{s}{\sqrt{n}} \\L=x-1.960*\frac{s}{\sqrt{n}}

The upper and lower bounds of the confidence interval are;

U=55.36+1.960*\frac{3.99}{\sqrt{196}}\\U= 55.92\\L=55.36-1.960*\frac{3.99}{\sqrt{196}}\\L= 54.80\\

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa

4 0
4 years ago
I need help with geometry
Grace [21]

Answer:

Segment AC is congruent to segment LJ

Step-by-step explanation:

3 0
3 years ago
You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To do this, you will cut its bot
DENIUS [597]
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.

</span><span>V=π<span>r2</span>h</span>h=d h=d=2r h=2r <span>V=π<span>r2</span>2r

</span><span>V(r,h)=180.5=π<span>r2</span>h⟹h=<span>180.5/<span>π<span>r2</span></span></span></span><span>⟹A(r)=r(r+h)=<span>r2</span>+<span>180.5/<span>πr

</span></span></span><span>A(r)=2r(2r+h)=4<span>r2</span>+<span>361/<span>πr

</span></span></span>

<span><span>A′</span>(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>

7 0
3 years ago
The quotient of A and 3 increased by 4
Helen [10]

Answer:

sub to メRαǤE_BlɨƬšメ

Step-by-step explanation:

7 0
3 years ago
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