Sub :- Linear Equations

Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

Answer: 21120 feet.

Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.

The distance travelled by sound in 20 seconds is 21120 feet.

In unit time the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 720 miles per hour.

According to given condition,

1 hour = 720 miles

Since, 1 hour = 60 minutes

60 minutes = 720 miles

1 minute = 12 miles.

1 minute = 60 seconds

60 second = 12 miles

1 second = 12 / 60  = 1/5 miles

20 second = 20 / 5 = 4 miles

According to given condition,

1 mile = 5280 feet

Therefore,

20 second = 5280 x 4 = 21120 feet

The distance travelled in 20 seconds is 21120 feet.

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Answer:

Step-by-step explanation:

radius r of iron ball r=12/2=6 cm

volume of iron ball=4/3  πr³

=4/3π×6³

=288 π cm³

≈288×3.14

=904.32 cm³

density=7.89gm /cm³(unit not mentioned)

mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg

288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)

Answer:

function

Step-by-step explanation:

To be a function, each value of the x-coordinate can be used only once. In other words, all x-coordinates must be different.

Here, the x-coordinates are all different, so it is a function.

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

Answer:

1x

Step-by-step explanation:

A Group of scientists caught and tagged  porcupines=140 A week later the scientists counted the porcupines=180

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

Answer:

Step-by-step explanation:

it goes straight across 4 ( up and down)

Answer:

Step-by-step explanation:

Start with the standard form of an equation for a straight line:

y=mx+b,

where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope (4), so we have:

y = 4x + b

We can calculate b from the given point, (0,4).  Just enter the values for x and y and solve for b.  But in this case the given point already tells us the value of b since at x = 0, y = 4.  So we can enter it directly.

------

For reference, if we went ahead and solved for b, this is what we'd get:

y = 4x + b

4 = 4*(0) + b

b = 4

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So the final equation of this line is y = 4x + 4

The graph is attached.

Answer:

if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!

Step-by-step explanation:

Step-by-step explanation:

5x+3x-14=180

8x-14=180

8x=180+14

8x=174

x=174/8

x= 21.75°

if x is 21.75°, then 5x is 108.75°

which means 3x-14 is 51.25°

therefore, f +108.75+51.25=180

f = 180-160

f=20°

Answer:

880 feet per hour.

Step-by-step explanation:

26 inches to foot = 2.2

9 seconds to hour =  0.0025

2.2/0.0025 = 880 feet per hour.

If you need any more help please let me know and i will make a video for you.

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Answer:

10

Step-by-step explanation:

count the full squares then add up the halfs and u get 10

Answer: divide 2

Step-by-step explanation:

Answer:

4a+24

Step-by-step explanation:

a+6+a+6+a+6+a+6 collect the like terms with a and 6

4a+24

Answer:

4a-24

Step-by-step explanation:

its a square. all sides r equal so add everything or multiply by the number of sides. 4(a-6) or (a-6)+(a-6)+(a-6)+(a-6)

Answer:

x = -4

Step-by-step explanation:

x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°

x + 63 + x + 125 = 180°

2x  + 188 = 180

2x = -8

x = -4

-Chetan K

Answer:

x=-4

Step-by-step explanation:

(x+125)+(x+63)=180

125+63=188

180-188= -8

-8/2= -4

Answer:

10x50=

Step-by-step explanation:

10

x50

_____

00

+5 00

_____

500

first times the one times everything then carry a zero for the second number

them times the tens place by everything

then add them

Answer: (4*4) + (2*5)

Answer:

Step-by-step explanation:

Area of a circle = πr², plug in r= 3, we get:

                      A = π(3)²

                      A = 9π  or 28.26 in³(if the π is calulate as 3.14)

Answer:

So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared

Step-by-step explanation:

Answer:

c 31b4

Step-by-step explanation:

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]