__:11= 1/3 :6
Pls fill in the blank number

Answer:

The system of equations is y = -2, x - 2y = 6 ⇒ (a)

Step-by-step explanation:

Let us revise some facts about the linear equation

The form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept [the line intersect the y-axis at point (0, b)]

The equation of any horizontal line is y = b

The equation of any vertical line is x = a, where (a, 0) is the x-intercept

Now let us study the given graph

→ Blue line

∵ The blue line is a horizontal line

∴ Its equation is y = b

∵ b is the y-coordinate of the y-intercept

→ The line intersects the y-axis at point (0, -2) which means b = -2

∴ b = -2

∴ The equation of the blue line is y = -2

We have two answers only with the equation y = -2, a and b, so the answer must be one of them. Let us find the equation of the red line to decide which one is the answer.

→ Red line

∵ The equation of the line is y = m x + b

∵ The read line intersects the y-axis at point (0, -3)

∴ b = -3

∴ y = m x + (-3)

∴ y = mx - 3

→ To find m substitute x and y by the coordinates of any point on the line

∵ Point (6, 0) lies on the line

∴ x = 6 and y = 0

∵ 0 = m(6) - 3

∴ 0 = 6m - 3

→ Add 3 to sides

∴ 0 + 3 = 6m - 3 + 3

∴ 3 = 6m

→ Divide both sides by 6 to find m

∴ [tex]\frac{3}{6}=\frac{6m}{6}[/tex]

∴ [tex]\frac{1}{2}=m[/tex]

→ Substitute the value of m in the equation above

∴ y = [tex]\frac{1}{2}[/tex] x - 3

→ Let us put x and y on one side and the number on the other

   side by subtracting y and add 3 to both sides

∵ y - y + 3 = [tex]\frac{1}{2}[/tex] x - 3 + 3 - y

∴ 3 =  [tex]\frac{1}{2}[/tex] x - y

→ Multiply both sides by 2

∴ 2(3) = 2( [tex]\frac{1}{2}[/tex] x) - 2(y)

∴ 6 = x - 2y

→ Switch the two sides

∴ x - 2y = 6

∴ The equation of the red line is x - 2y = 6

∵ The equations of the blue line and the red line are in answer a

∴ The system of equations is y = -2, x - 2y = 6

Note: you can use the point of intersection of the lines on the graph (2, -2) and substitute its coordinates in each answer to find which answer will satisfy that the two sides in each equation are equal

The correct answer is: c) 1/3, 5/3 The cosine function has a period of 2π, meaning it repeats every 2π radians.

To find the solutions for x in the equation 12cos(2x) + 10 = 16, we can solve it algebraically. Let's begin:

12cos(2x) + 10 = 16

Subtract 10 from both sides:

12cos(2x) = 6

Divide both sides by 12:

cos(2x) = 1/2

Now, we want to find the two smallest positive solutions for cos(2x) = 1/2. The cosine function has a period of 2π, meaning it repeats every 2π radians. We are looking for solutions in the range of 0 to 2π.

The cosine function has values of 1/2 at two specific angles: π/3 and 5π/3.

So, we can set up the following equations:

2x = π/3 and 2x = 5π/3

Solving for x in each equation:

For 2x = π/3:

x = π/6

For 2x = 5π/3:

x = 5π/6

Thus, the two smallest positive solutions for x in the equation 12cos(2x) + 10 = 16 are x = π/6 and x = 5π/6.

Therefore, the correct answer is:

c) 1/3, 5/3

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74.75

first 35 percent of 115 is 40.25

115 - 40.35 equals 74.75 in

Answer:

24a^9 b^11

Step-by-step explanation:

[tex]4a ^{3} b ^{2} \times 6a ^{6} b ^{9} \\ = (4 \times 6)a ^{3 + 6}b ^{2 + 9} \\ = 24a^{9} b^{11} [/tex]

The expected value for X is 1.56.

Expected value is the mean value that we would expect if we conducted the same experiment many times and recorded the result of each trial. This formula is used to calculate the expected value for X.

This formula is used to calculate the expected value for X:E(X) = Σ [ xi * P(xi) ] where xi represents the value of X, and P(xi) is the probability of X taking the value xi.

The value of xi is multiplied by its corresponding probability and then summed over all the values of X.

This gives the expected value of X. Now, let us use the formula to calculate the expected value of X:

E(X) = (0 * 0.10) + (1 * 0.05) + (2 * 0.02) + (1 * 0.12) + (0 * 0.10) + (2 * 0.10) + (3 * 0.16) + (0 * 0.06) + (1 * 0.11) + (2 * 0.28)E(X) = 0 + 0.05 + 0.04 + 0.12 + 0 + 0.20 + 0.48 + 0 + 0.11 + 0.56E(X) = 1.56

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Answer:

S' (1,-2)

S'' (0,0)

Step-by-step explanation:

The coordinates of the image after a reflection across y=-1 followed by a translation <2,-1> is S' (1,-2) and S'' (0,0).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that,

S(1,0)

If it is reflected across y=-1 followed by a translation <2,-1>.

The coordinates of the image will be S' (1,-2) and S'' (0,0).

Thus,the coordinates of the image after a reflection across y=-1 followed by a translation <2,-1> is S' (1,-2) and S'' (0,0).

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Answer:

96 x 67 + 362 - 1220 + 2 = 5576

Step-by-step explanation:

step 1: 96 x 67 = 6432

step 2: 6432 + 362 = 6794

step 3: 6794 - 1220 = 5574

step 4: 5574 + 2 = 5576

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is 14.33 square units.

To find the area under the parabola, we need to integrate the equation y = 5x - x^2 with respect to x over the given interval [1, 4]. The integral represents the area between the curve and the x-axis.

Integrating y = 5x - x^2 gives us the antiderivative F(x) = (5/2)x^2 - (1/3)x^3 + C, where C is the constant of integration. To find the definite integral over the interval [1, 4], we evaluate F(4) - F(1).

F(4) = (5/2)(4)^2 - (1/3)(4)^3 + C = 40 - (64/3) + C

F(1) = (5/2)(1)^2 - (1/3)(1)^3 + C = 5 - (1/3) + C

Substituting these values into the definite integral expression, we have:

Area = F(4) - F(1) = (40 - (64/3) + C) - (5 - (1/3) + C)

= 14.33

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is approximately 14.33 square units.

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Step-by-step explanation:

2[18-(5+3^2)÷7]

= 2[18-(5+9)÷7]

= 2[18-14÷7]

= 2[18-2]

= 2of16

=2×16

= 32

Answer:

ibjjjjjjjjn    ihbuuxzxy

Step-by-step explanation:

Answer:

y=-5x+9

Step-by-step explanation:

y=-5x+2

Subsitute:

9=-5(0)+b

9=b

y=-5x+9

I'm not sure if this is the answer you want but here :)

Answer:

-19.9 ft.

Step-by-step explanation:

Answer:

I think the answer is 19.9 if that's wrong I'm so sorry

Answer:

y=7

Step-by-step explanation:

We have two numbers,  

x

,

y

. We know two things about them:

2

x

+

y

=

25

3

x

−

y

=

20

Let's add these two equations together which will cancel the  

y

:

5

x

+

0

y

=

45

x

=

45

5

=

9

We can now substitute in the  

x

value into one of the original equations (I'll do both) to get to  

y

:

2

x

+

y

=

25

2

(

9

)

+

y

=

25

18

+

y

=

25

y

=

7

3

x

−

y

=

20

3

(

9

)

−

y

=

20

27

−

y

=

20

Answer:

x > -100/9

Step-by-step explanation:

1. -45x +310 <810

2. look for like terms and isolate them .

3. -45x+310-310< -810 -310

4.; -45x < 500

5. x > -100/9

NB: The inequality sign changes when dividing by negative number or term.

Answer:

(1,14)

Step-by-step explanation:

because putting values

x=1 in y=4x+9

we get y=4+9=13

Answer:

Step-by-step explanation:

Given that :

Summit of Mount Washington = 6288 ft

Location of Carter notch = elevation of 3288 ft

The change in elevation will be :

A reduction in elevation from the summit of Mount Washington to Carter Notch

(6288ft - 3288ft) = 3000ft

Since it is a reduction from the initial elevation point or height, Then the change in elevation will be negative ;

= - 3000ft

We want to find the change in elevation of Sylvie and Bono. The point that represents the change in elevation is the point -3000.

To get the change in elevation we just need to compute:

Final elevation - Initial elevation

We know that the initial elevation is:

initial elevation = 6,288 ft

The final elevation is at an elevation of 3,288 ft, then we have:

final elevation = 3,288 ft

So the change in elevation is just:

3,288 ft - 6,288 ft = -3,000 ft

So the point that represents the change in elevation in feet is the point -3000.

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Answer:

a)1:4 b)3:1

Step-by-step explanation:

a) 14:56

divide each side by 14 which gives you

1:4  

b) you do 240-180 to see how many were sold in a high street shop which 240-180=60

the ration becomes

180:60

divide each side be 60

this gives you

3:1

Answer:

The answer would be A/B=H

Step-by-step explanation:

To get rid of the B that is connected to the H, you would do the opposite of what they used. Meaning since the two were multiplied you would divide them. So, you would take your b and divide it on both sides of the equal sign. B and B cancels each other out so you are left with A/B which equals H.

Answer:

[tex]7:4:2[/tex]

Step-by-step explanation:

Assign variables for the 3 numbers. Let the first number be x, the second number be y, and the third number be z.

"The sum of the 3 numbers is 145", therefore:

"Seven times the second number is twice the first number":

"Twice the second number is six times the third number":

We can solve for x, y and z using this system of equations. Let's solve for y in the first equation by putting the other variables in terms of y in Equations II and III.

Solve for x in [tex]\text{Equation II}[/tex]:

Solve for z in [tex]\text{Equation III}[/tex]:

Substitute these values into [tex]\text{Equation I}[/tex] to solve for y.

Combine like terms using common denominators. The least common denominator is 6. Multiply [tex]\frac{7}{2} y[/tex] by [tex]\frac{3}{3}[/tex], multiply [tex]y[/tex] by [tex]\frac{6}{6}[/tex], and multiply [tex]\frac{1}{3} y[/tex] by [tex]\frac{2}{2}[/tex] to make all of the denominators = 6.

Add the fractions together.

Solve for y by multiplying both sides by [tex]\frac{6}{29}[/tex].

We have found that y = 30. Now we can use this known value in order to solve for both x and z in Equations II and III.

[tex]\text{Equation II}:[/tex]

[tex]\text{Equation III}:[/tex]

We have found that x = 105, y = 30, and z = 10. Now we can write the new ratio of these 3 numbers:

"Write the new ratio of the three numbers if the second number doubles and the third number is increased by one less than one fifth of the first number":

The question asks for the new ratio once we evaluate these expressions. The variable x is the only one that stays the same at the end: 105.

Our final numbers are x = 105, y = 60, and z = 30. We can create the ratio between these numbers by fully simplifying them. Right now we have [tex]x:y:z=105:60:30[/tex]. Start by dividing all of the numbers by 5.

We get [tex]21:12:6[/tex]. This ratio can be simplified further by dividing all of the numbers by 3. We then get the ratio of: [tex]7:4:2[/tex].

This ratio cannot be simplified any further, therefore, it is the new ratio of the three numbers.

Answer:

to convert a fraction to a decimal, divide the numerator by the denominator.

Hope this helps.

To find the volume of the right regular triangular pyramid, where x = 30 cm and h = 27 cm, the exact answer is 900π cm³, and the approximation to the nearest hundredth is 3507.39 cm³.

The volume of a pyramid can be calculated using the formula:
Volume = (1/3) * Base Area * height
In the case of a right regular triangular pyramid, the base is a regular triangle, so the base area can be found using the formula for the area of an equilateral triangle:
Base Area = (sqrt(3)/4) * x²
Given that x = 30 cm, we can calculate the base area as:
Base Area = (sqrt(3)/4) * 30²
Base Area = (sqrt(3)/4) * 900
Base Area = (900/4) * sqrt(3)
Base Area = 225 * sqrt(3)
The volume can now be calculated by substituting the values of the base area and height into the volume formula:
Volume = (1/3) * (225 * sqrt(3)) * 27
Volume = 675 * sqrt(3) * 27
Volume = 18225 * sqrt(3) cm³
Approximating to the nearest hundredth, we find that the volume is approximately 3507.39 cm³.

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Answer: 17.1

Step-by-step explanation:

U do 11.4/2 then u add that number to 11.4 and get your answer

The probability that the dice lands on a four in the first three rolls is: 29%. The correct option is b.

Given that, A standard six-sided dice is repeatedly rolled until it lands on a four

We need to find the probability that the dice lands on a four in the first three rolls  i.e we need to find P(X=3) where X be the number of tosses before the first 4 shows up and let p be the probability of getting a 4.

The possible outcomes of a single dice roll = {1, 2, 3, 4, 5, 6}

So, the total number of possible outcomes of rolling the dice = 6

P(getting a 4 on a single toss)

p = 1/6

Then, the probability of not getting a 4 on a single toss:

q = 1 - 1/6

= 5/6.

Now, we know that the probability of getting a 4 on the third toss is the probability of not getting a 4 on the first two tosses and getting a 4 on the third toss.i.e,

P(4 on third toss) = q * q * p

Similarly, the probability of getting a 4 on the second toss is the probability of not getting a 4 on the first toss and getting a 4 on the second toss.

P(4 on second toss) = q * p

Now, P(X = 3) = P(4 on third toss) = q * q * p

= (5/6)² * (1/6)

= 25/216

≈ 0.1157

≈ 11.57%

Therefore, the probability that the dice lands on a four in the first three rolls is approximately 11.57%.

Rounding it to the nearest percentage, we get the answer as  b. 29%.Hence, option B is correct.

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Answer:

you did something wrong in step 3

the correct way is

x= 1.1+7.7

= 8.8

Answer:

when it is simplify it is 12×+122

Answer: 721295.2

Step-by-step explanation:

Already rounded to the nearest tenth.

721295.2

pls give me brainliest it will mean a lot to me.

Answer:

721295.20- tenth

721300= tens spot

Step-by-step explanation:

tenth ? or tens place??

Answer:

Step-by-step explanation:

 let the almond be x pounds

and the peanuts be y pounds

so

x+y=1.6--------1

5.5x+2.5y=6.75---2

let us multiply both eqn 1 by 5.5 to to eleminate x

and subtract eqn 2 from the new eqn

  5.5x+5.5y=8.8-----3

 -5.5x+2.5y=6.75---2

   0+3x=2.05

divide both sides by 3 we have

x=2.05/3

x=0.68 pound

put x=0.68 in eqn 1 we have

0.68+y=1.6

y=1.6-0.68

y=0.91 pounds

Alicia gets $2.50*0.91= $2.275

Sarah gets  $5.50 *0.68=$3.74