Solve this using substitution method. Many many thanks

Answer:

[tex]x = \frac{3y - w}{12} [/tex]

Step-by-step explanation:

[tex] \frac{12x}{12} = \frac{3y - w}{12} [/tex]

[tex]x = \frac{3y - w}{12} [/tex]

Answer:

2777 times

Step-by-step explanation:

You can choose to convert however you like, as long as you divide when they have the same units.

1km = 1000m = 100000cm

36cm = 0.36m = 0.00036

Hence, 1000m÷0.36m = 2777.77777...

Round down to 2777

The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.

The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.

Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:

C = 2πr

where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:

C = 2π(36) cm ≈ 226.19 cm

Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:

1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm

Dividing the distance traveled by the circumference of the tire, we get:

100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations

Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

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Answer:

18° lol it's too easy

Step-by-step explanation:

180-(90+72)

=180-162

=18°

Answer:

18 Degree

Step-by-step explanation:

all triangles the inside angle sum is 180 degree

so

72+90+x=180

162+x = 180

x= 180-162

Answer:

Multiples of 3 are (3, 6, 9, 12, 15, 18, 21, 24)

LCM of 3 and 7 is 21

Answer:

the lcm of 3,7 is 21

Step-by-step explanation:

Find the prime factorization of 33=3

Find the prime factorization 0f 77=3

Multiply each factor 3x7=21

Answer:

-x3

Step-by-step explanation:

Answer:

11.

Step-by-step explanation:

Given that the drug has no effect and that the probability of nausea was 0.0124, to find the mean and standard deviation for the numbers of people in groups of 828 that can be expected to experience nausea, the following calculation must be performed:

828 x 0.0124 = X

10.26 = X

Thus, the number of people who may feel nauseous after using the drug in question is 11 individuals.

Ok. These are the answers. Tell me if you didm't understand my writing.

Answer:

the answer is -58

Step-by-step explanation:

you factor out the negitive sign and calcuate.

Answer: [1/10 9/6]

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

1/3 ÷ 3 = 1/9

People use the KCF method for this kind of solution.

At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.

Answer:

15/22

Step-by-step explanation:

Answer:

i think it's the 2th one not sure tho

Answer:

1

--------------

y-1

with the restriction y cannot equal -1

Step-by-step explanation:

y+1

--------------

y^1 -1

Noticing that the denominator is the difference of squares and factoring

y+1

--------------

(y+1)(y-1)

Canceling like terms

1

--------------

y-1

with the restriction y cannot equal -1

Answer:

f(x) = 5x - 30

Yes it is a function

Step-by-step explanation:

Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.

We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.

Plug it all in and you get  y = 5x - 30 or f(x) = 5x - 30

Answer:

Let's choose the three odd consecutive numbers 1, 3, and 5.

3^2=9

1•5=5

9-5=4

Let's try the same thing, but with the numbers 101, 103, and 105.

103^2=10609

101•105=10605

10609-10605=4

So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.

Pick 3 consecutive odd numbers:

3, 5, 7

Square the 2nd number: 5 ^ 2 = 25

Multiply the first and 3rd:

3 x 7 = 21

25-21 = 4

This is true.

Try another set of numbers:

9, 11, 13

11^2 = 121

9 x 13 = 117

121-117 = 4

Again it’s true.

Answer

35

Step-by-step explanation:

Using Pythagoras theorem since it's a right angle triangle,

The missing side, say h,is the hypotenuse

28²+21²= h²

784+441=h²

√1225=√h²

h=35

Answer:

9.5 I think

STEPS-

9+4+11+14=38

38/4=9.5

Answer: 1920

Step-by-step explanation:

Answer:

am pretty sure it is the frist one

Answer:

P=78,56 If something is not clear to you, just ask, I will be happy to help :)

Step-by-step explanation:

To calculate the total area of a figure, you divide it into several shapes.

P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.

P1=a*b

P1=8*6

P1=48

P2=a*b

P2=3*2

P2=6

P3=a*b

P3=4*2

P3=8

P4=[tex]a^{2}[/tex]

P4=[tex]2^{2}[/tex]

P4=4

P5=[tex]\frac{1}{4} * r^{2} *\pi[/tex]

P5 = [tex]\frac{1}{4} * 4^{2} * \pi[/tex]

P5 =4[tex]\pi[/tex] or approximately 12,56

P = P1+P2+P3+P4+P5

P = 48+6+8+4+12,56

P=78,56

Answer:

graph

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

the area of the triangle is 4 x 2, which equals 8.

Then you calculate the area of the rectangle.

Area of Rectangle = L x W or (in this case) 8 x 4

8 x 4 = 32

Then you subtract the area of the triangle from the area of the rectangle

So, your equation would be 32 - 8  = 24

Therefore, the area of the shape is 24

Answer:  

24

Step-by-step explanation:

the area of the triangle is 4 x 2, which equals 8.

Then you calculate the area of the rectangle.

Area of Rectangle = L x W or (in this case) 8 x 4

8 x 4 = 32

Then you subtract the area of the triangle from the area of the rectangle

So, your equation would be 32 - 8  = 24

Therefore, the area of the shape is 24

Answer:

157.079632679

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

Answer:

one solution

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−3y=−21:

2x−3y=−21

2(−y+7)−3y=−21

−5y+14=−21(Simplify both sides of the equation)

−5y+14+−14=−21+−14(Add -14 to both sides)

−5y=−35

−5y

−5

=

−35

−5

(Divide both sides by -5)

y=7

Step: Substitute 7 for y in x=−y+7:

x=−y+7

x=−7+7

x=0(Simplify both sides of the equation)

y = 7, x = 0

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total