2. Richie solved the equation 24x + 18(x - 2) = 216 for x.
Some of his steps are shown below.
Step 1: 24x + 18(x - 2) = 216
Step 2: 24x + 18x - 36 = 216
Step 3: 42x - 36 = 216
Step 4: 42x = 252
List the steps Richie took to solve the equation.
the answer is 6 he nned to divide 42 and
252

Answer:

lol I would think its some type of witchcraft. probably burn it!

Answer:

23.693 meters per second

Answer:

x = 9/4 y = 15/4

Step-by-step explanation:

Answer:

W=2/(P-2L)

Step-by-step explanation:

The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

\( 16 \: {m}^{2} \)

Step-by-step explanation:

Area of the quadrilateral

\( = \frac{1}{\cancel 2} \times 8 \times \cancel 2 + \frac{1}{\cancel 2} \times 8 \times \cancel 2 \\ \\ = 8 + 8 \\ \\ = 16 \: {m}^{2} \)

The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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Answer:

To fill in the blank, let's first expand the left-hand side of the equation:

(2d-5)(2d-4)

= 2d * 2d + 2d * (-4) -5 * 2d -5 * (-4) (using the distributive property)

= 4d^2 - 8d - 10d + 20

= 4d^2 - 18d + 20

Now, we can compare this with the right-hand side of the equation, which is 4d^2 + blank d + 20.

Comparing the coefficients of the like terms, we can see that the blank should be filled with -18, since the coefficient of d on the left-hand side is -18 (from -8d - 10d) and the coefficient of d on the right-hand side is blank.

So, the filled-in equation becomes:

(2d-5)(2d-4) = 4d^2 - 18d + 20

Brainlyest!?

Answer:

Step-by-step explanation:

(2d - 5) x (2d - 4)

= 4d^2 - 8d - 10d + 20

= 4d^2 - 18d + 20

Therefore Answer is -18.

Answer:

17x and (5x+2) + (7x+ 3)

Step-by-step explanation:

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

Scale factor 1/2

Step-by-step explanation:

Figure A is expanded by the scale factor of 1/2, which halves the scale it has of 6 to 3

Answer:

a 10

b 650

c 270

d60

e123 870

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer: 480

Step-by-step explanation:

To solve this, you need to set up a proportion: 200/2.5 x/6

The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.

Answer:

Answer: 480 km

Step-by-step explanation:

As we know that if we keep speed or velocity constant, distance is directly proportional to time.

• In the first case:

\({ \rm{d_{1} = kt _{1}}}\)

• Substitute the variables with their respective values to find the value of constant, k

\({ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}\)

• In the second case

\({ \rm{d _{2} = kt _{2} }}\)

\({ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}\)

Answer:

y - 18 = -1.5(x - 12)

Step-by-step explanation:

A = (12, 18)

B=(1.25(12), 0.75(18)) = (15, 13.5)

Find slope:  m = (13.5-18)/(15-12) = (-4.5)/3 = -1.5

Point slope form:  y - y1 = m(x - x1)

Using point A as (x1, y1)

y - 18 = -1.5(x - 12)

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

Answer:

b

Step-by-step explanation:

The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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Answer:

y = 7 (add 3 and 4)

Slope is 0

y intercept is (0, 7)

I get the feeling this is multiple choice, but as there are no choices....hope this helps. Brainliest please??

Answer:

The answer is Rational Number

Step-by-step explanation:

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

20 x ___ = 6000

Step-by-step explanation:

Thats how you use multiplication

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

the exact value of sin(θ + β) is (-3\(\sqrt{7}\) - 4\(\sqrt{2}\)))/15.

We can use the following trigonometric identity to solve this problem:

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

Let's start by finding sin(θ) and cos(θ) using the given value of theta:

sin(θ) = -sqrt(1 - cos^2(theta))

cos(θ) = -sqrt(2)/3

We can use the Pythagorean identity to find sin(theta):

sin(θ) = (\(\sqrt{1 - cos^2\)θ)

sin(θ) = -(\(\sqrt{1 - 2/9}\))

sin(θ) = -\(\sqrt{(7/9)}\)

Now let's find sin(β) and cos(β) using the given value of beta:

sin(β) = 4/5

cos(β) = 3/5

Now we can substitute all these values into the trigonometric identity:

sin(θ+β) = sin(θ) cos(β) + cos(θ) sin(β)

sin(θ+β) = (-\(\sqrt{7}\)/9))(3/5) + (-\(\sqrt{2}\)/3)(4/5)

sin(θ+β) =  (-3\(\sqrt{7}\) - 4\(\sqrt{2}\)))/15.

Therefore, the exact value of sin(θ + β) is  (-3\(\sqrt{7}\) - 4\(\sqrt{2}\)))/15.

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A number line was used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

A number line would be used to draw and label a figure for Points X and Y that lies on CD as shown in the image attached below.

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Answer:

0

Step-by-step explanation:

0

Answer:

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

\(\mu_{\bar x}=\mu\\\)

And the standard deviation of the sample means is given by,

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

The information provided is:

\(\mu=85\\\sigma=6\\n=36\)

As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.

Compute the probability that the sample mean will be between 82.5 and 86 years as follows:

\(P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351\)

Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Standard deviation σ = 6

Sample size n =36

The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.

So, the standard deviation of sample means =  σ/√n

The probability that the sample mean will be between 82.5 and 86 years:

\(P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )\)

\(P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)\)

\(P(-2.5 < Z < 1) =0.8413-0.0062=0.8351\)

Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

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The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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