What is an equation of the line that passes through the point (4, 5)and is parallel to the whose equation is y = 2/3 x - 4?

A. 2y + 3x = 11

B. 2y + 3x = 22

C. 3y - 2x = 2

D. 3y - 2x = 7

Answer:

13.896 kg

Step-by-step explanation:

Volume of Gold Bar = Area of [Trapezium x Length of Bar]

Length of Bar = 16 cm

Area of Trapezium = 2 × Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²

2 × Area of Triangle = 2 × 7.5 = 15 cm²

Area of Rectangle = 6 × 5 = 30 cm²

Area of  Trapezium = 15 + 30 = 45 cm²

Volume of Gold Bar = 45 × 16 = 720 cm³

Density of Gold = 19.3 g/cm³

Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg

Mass of Gold Bar = 13.896 kg

Therefore the mass of the Gold Bar is: 13.896 kg (kilograms).

Answer:

13.896kg

Step-by-step explanation:

First, find the volume of the trapezium.

Volume = area of cross-sectional area times the length (16cm)

[(a+b)/2] times height

(6+12)/2 x 5

(18/2) x 5

9 x 5

= 45 <-- area of cross section

45 x 16 = 720 cm^3 <-- volume

To find the mass, multiply volume times density

720 x 19.3 = 13 896g  = 13.896kg

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Answer:

30,000 brooooooooooooo

Answer:

30,000

Step-by-step explanation:

3 x 10000

=30000

Answer:

[tex] |4( - 2) + 5(3)| = | - 8 + 15| \\ = |7| = 7[/tex]

Answer:

7

Step-by-step explanation:

Given:

|4b + 5c|

Plug in the b and c values:

|4(-2) + 5(3)|

Multiply 4(-2) and 5(3):

|-8 + 15|

Combine like terms:

|7|

Absolute value:

7

Hope this helps, have a nice day :))

      The question gives us two points,  (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)

                                           = (5 -(-3)) ÷ (-9 -(-3))      

                                           =  (5 + 3) ÷ (-9 + 3)    

                                           =   - ⁴/₃  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                                ⇒  y - (-3) = - ⁴/₃ (x - (-3)        [ using the point (-3, -3)]

                                       y + 3  = - ⁴/₃ (x + 3)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.  

Step-by-step explanation:

24-6=18(one group)

18×3=54 because kevon split them into 3 groups

Answer:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Step-by-step explanation:

The graph has an unremovable discontinuity at X=0, therefore all continuity answers are incorrect.

The graph is neither symmetrical about the x-axis nor y-axis, but if it were to be rotated around the origin, it would be symmetric.

On both sides of the graph, the slope is decreasing.

Therefore:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Using the concept of inequality, the number of minutes which ensures that the park makes profit while also ensuring that the park isn't overcrowded ls expressed below :

Given the Parameters :

The number of minute to keep the gates opened :

c + rm ≤ 4500

850 + 12m ≤ 4500

12m ≤ 4500 - 850

12m ≤ 3650

m ≤ (3650÷ 12)

m ≤ 304.16

Hence, the gates should be left opened for at most 304 minutes

B.)

In other to allow atleast 2800 in for profit sake

850 + 12m ≥ 2800

12m ≥ 2800 - 850

12m ≥ 1950

m ≥ 162.5

The gates should be opened for 163 minutes.

C.)

In other to make profit by allowing atleast 2800 people in while also ensuring that not more than 4500 people are in the park ; the inequality representing the number of minutes the gates should be open is :

D.)

Expressing as a single interval statement :

Learn more :https://brainly.com/question/15748955

Answer:

Sarah is correct: lines l and m are not parallel.

Step-by-step explanation:

Given that m < 1 = 130°, and m < 7 = 45°,

Sarah is correct, that lines l and m are not parallel.

If lines l and m were parallel cut by the transversal, n, then its exterior angles < 1 and < 7 that lie on the same side of the transversal should be supplementary.  In other words, m < 1 and m < 7 should have a sum of 180°

Since according to the given prompt that m < 1 = 130°, and m < 7 = 45°, the sum of their measure add up to 175°, and not 180°.

Therefore, lines l and m are not parallel.

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

A. y + 5 = –3(x – 1); y = –3x – 2

Step-by-step explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;

Answer:

138° because LCD is corresponding to JKH

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Above expression can be Evaluated to get :

or

Answer:

red=6/22 green=12/21

Step-by-step explanation:

since you have 6 red worms out of 22 you have a 6/22 probability to get one. Once you eat it you will have a total of 21 worms and since you didnt touch green worms the probabilty is still 12/21 (21 because you removed completely a worm)

Answer:

You will use the formula y2-y1 over x2-x1.

This would make 7-5 over 1+3.

7-5=2 and 3+1=4. 2/4=1/2.

The answer is 1/2 :) If it turns out wrong, then the answer is most definitely 2.

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2

Answer:

220km

Step-by-step explanation:

Time taken (t) = 2hrs 45 min

= 2.75 hrs

AV =80km/hrs

Displacement or Distance (d) =?

We have,

AV = d÷t

80 = d÷2.75

80 × 2.75 = d

d = 220km

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

Answer:

Each side of the Rhombus is equal to 4x

Answer:

3.4166666666667

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 - something = -5

so negative something has to be 5 bigger then 8 to have a -5 left at the end

8 - (8+5) = -5

8 - 13 = -5

Answer: 11.31

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

24

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

Percentage decrease = 30% × 25

New value = 25 - Percentage decreaseNew value =

25 - Percentage decrease =

25 - (30% × 25) =

25 - 30% × 25 =

(1 - 30%) × 25 =

(100% - 30%) × 25 =

70% × 25 =

70 ÷ 100 × 25 =

70 × 25 ÷ 100 =

1,750 ÷ 100 =

17.5

Absolute change (actual difference) =

New value - 25 =

17.5 - 25 =

- 7.5

Answer:

25 decreased by 30% equals 17.5

Step-by-step explanation:

To solve this, we need to make our equation to solve.

x/25=30/100

We did x because we don't know what 30% of x is. The 25 shows the total, while the right side shows the percent.

Now cross multiply

100x=750

Now divide both sides by 100.

you will get x=7.5

So now we know that 7.5 is 30% of 25. Now, subtract 7.5 from 25 in order to find out what 25 decreased by 30% is.

25-7.5=17.5

So the answer is 17.5

Answer:

The bottom left

Step-by-step explanation:

To solve we can create an equation to represent the problem given. In this case, the equation should be linear. This is because the total cost will change by the same amount each time the number of burritos changes. The slope (the amount the cost changes per burrito) is $6.50 because that is how much one burrito costs. So, the function would look like- y=6.5x. Plug in the x-values for the number of burritos and that will give the cost. Once you solve this equation, the bottom left chart is the only one that matches the values.

Answer:

letter D

Step-by-step explanation:

Answer:

slope=-4 y-intercept=1

Step-by-step explanation:

m is slope and b is y-intercept in y=mx+b

Answer:

Slope: -4

intercept: (0,1)

Answer 16644

Step-by-step explanation:

Answer:

16,644

Step-by-step explanation:

.83 is rounded up to 1, add that to the remaining numbers