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3 years ago

Fill in the other coordinate for the line 7x - 5y =21:(4 , ?)

2 answers:

3 0

7x-5y=21 when x=4 from the coordinate point of (4,y)
Next,
7x-5y=21
Substitute x with 4
7(4)-5y=21
28-5y=21
Add 5 to each side
28-5y+5y=21+5y
28=21+5y
Subtract 21 to each side
28-21=21+5y-21
7=5y
Divided 5 to each side
7/5=5y/5
y=7/5
Or
y=1 2/5
Check:
7x-5y=21
Substitute x with 4 and y with 7/5
7(4)-5(7/5)=21
28-7=21
21=21. As a result, (4,7/5) is your correct answer. Hope it help!

Viefleur [7K]3 years ago

3 0

If you know that x is 4, (assuming it's placed as x,y) then simply substitute 7(4)-5y=21.
28 - 5y =21.
28 - 21 =5y
5y= 5
Y= 1
Not sure if I'm right but I think that's how it's done the simple way.

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The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. Find the lateral sur

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The lateral surface area of the cylinder = 80 sq cm.

Step-by-step explanation:

Given,

The circumference of the base of the cylinder is 16 cm

So, 2 X pi X r = 16 cm ( where r be the radius of the base)

Now, the lateral surface of the cylinder = 2 X pi X r X H ( where H be the height = 5 cm)

= 16 X 5 sq cm

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Hope it helps you.

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3 years ago

The number of newly reported crime cases in a county in New York State is shown in

JulsSmile [24]

Answer:

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

$y=a+bx$

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

Compute the values of a and b as follows:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}$

The linear regression equation that represents the set of data is:

$y=1083.48+23.73x$

Compute the predicted value of the number of new cases for 2013 (i.e. x = 12) as follows:

$y=1083.48+23.73x$

$=1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368$

Thus, the predicted number of new cases for 2013 is 1368.

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3 years ago

Write a compound inequality for the graph shown below.

irina [24]

A compound inequality for the graph would be:

x >= 0 and x < 2

7 0

3 years ago

A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5 minutes at twice the rate of the first

OlgaM077 [116]

Answer:

500

Step-by-step explanation:

Rate at which first ticket printer works is 450/9 = 50 tickets per minute

Speed of second ticket printer is twice than that of the first.

So, speed of second printer is 100 tickets per minute.

In 5 minutes,second printer made 500 tickets

8 0

3 years ago

Bus stop Restaurant sell 3/4 as many cheeseburgers as they do with hamburgers on any given day. If there are a total of 42 burge

schepotkina [342]

Answer:

24cb 18 hb

Step-by-step explanation:

Let's call C the number of cheese burger sold and H the number of hamburgers.

As the cheeseburger sold are 3/4 of hamburgers, we can represent with the following equation:

C= (3/4)H (equation 1)

The total of burgers sold are the total of cheeseburger plus the total of hamburgers, and the sum 42. The equation representing it is:

C + H = 42

Replacing C by its value of eq. 1:

(3/4)H + H = 42

(3/4)H + (4/4)H = 42

(7/4) H = 42

Dividing both sides by (7/4)

H = 42/(7/4)

H= 42*(4/7)

H= (42/7)*4

H= 6*4

H=24

Then, C is:

C=(3/4)H

C=(3/4)*24

C= 3*24/4

C=72/4

C=18

We can verify it summing C+H

C+H=24+18=42 verified!

6 0

3 years ago