what is y+2=-6(x-3) in standard form?

We have to find the amount of money raised by all three schools.

The first school: EON, raised $286.00

The second school: Hackett raised $192.84

The third school: Myers raised $113.25 more than Hackett

To calculate the amount that the third school raised, we add $113.25 to the amount that the second school raised $192.84:

Myers raised $306.09

Finally, we add the money that the three schools raised to find the total:

The total amount of money raised was $784.93

Answer:

$784.93

Answer: 4,5

Step-by-step explanation

The elevation of Melina when she descends by 500 feet is 1500 feet.

An elevation simply means the height above a particular place. It is usually referenced as the sea level.

In this situation, Melina is hiking and is at en elevation of 2000 feet. If she descends by 500 feet. It should be noted that since she descend, we will have to subtract 500 from the initial value that was given as 2000. feet.

Therefore, the calculation will be illustrated through subtraction. This will be:

= 2000 - 500

= 1500 feet.

This implies that when Melina descends, the elevation that she'll be at that point in time is 1500 feet.

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Answer: D. 80 miles

Step-by-step explanation:

if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B

Answer:

D. 80 miles

Step-by-step explanation:

If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:

[tex]\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}[/tex]

In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.

In a population of values having a normal distribution with (μ = 159.8) and  (σ = 59.5), if a random sample of size (n = 13) is selected, then the probability that a single randomly selected value is greater than 156.5 will be 0.52.

As per the question statement, a population of values has a normal distribution with (μ = 159.8) and (σ = 59.5) and a random sample of size      (n = 13) is selected,

Then we are required to calculate the probability that a single randomly selected value is greater than 156.5.

To solve this question, let us assume that, a random variable "X" follows normal distribution with mean (μ = 159.8), standard deviation (σ = 59.5) and a sample size of (n = 13).

Then the probability that a single randomly selected value is greater than 156.5 can be calculated as follows:

P (X > 156.5) = [1 - P(X < 156.5)]

= [1 - P{(X - μ)/σ < (156.5- 159.8)/59.5}]

= [1 - P{Z < (-0.0554)}]

= (1 - 0.477885127828 )...[Using Excel Function "NORMSDIST (-0.0554)]

= 0.522114872172

≈ 0.52

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Answer: A, E, F

Step-by-step explanation:

The area answers always need to have a square in the unit so B & C are wrong.

D is wrong because it is a unit for volume. So A, E, and F are the right answers.

A right circular cylinder is a three dimensional geometric figure with its top and bottom as circle. The exact surface area for the given cylinder is  10π square cm.

A cylinder is a three dimensional geometric figure.

The volume of a cylinder is given as πr²h, where r is the radius and h is the height of the cylinder.

Given that,

The radius of cylinder r = 1 and one fourth cm

                                       = 1 + 1 / 4 cm

                                       = 5 / 4 cm

The height of cylinder h = 2 and three fourth cm

                                        = 2 + 3 / 4 cm

                                       = 11 / 4 cm.

Since the exact surface area of cylinder is given by 2πr(h+ r), the exact surface area for the given cylinder is given as,

= 2π × (5 / 4 ) × ((11 / 4) +  ( 5 / 4))

= 2π × (5 / 4 ) × 4

= 10π

Hence, the exact surface area for the given cylinder is 10π square cm.

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Answer:

Step-by-step explanation:

[tex]\sf -2(5x + 3y)[/tex]

Apply the Distributive Property:-

[tex]\sf -2\left(5x+3y\right)[/tex]

[tex]\sf -2\times\:5x-2\times\:3y[/tex]

[tex]\sf -2\times\:5x=\bf -10x[/tex]

[tex]\sf 2\times\:3y=\bf 6y[/tex]

[tex]\sf -10x-6y[/tex]

Therefore, your answer is C. -10x - 6y!!

_______________________

Hope this helps you!

Have a great day!

The required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

Here,
According to the question,
cost of the benches = 100x
cost of the chairs = 50y,
the total cost would exceed $1500
So,
the inequality can be formed,
100x + 50y ≤ 1500
Graph A shows the above inequality.

Thus, the required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

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Part A; The vertical to horizontal ratio of the ramp in the question of 3:15 does not meet the ADA guideline of a vertical to horizontal ratio of 1:12

Part B; The measurement of the ramp that would meet ADA guideline is a vertical to horizontal ratio of 3 feet to 36 feet.

The front entrance of the ramp should therefore be 36 feet away

A ratio  is an indication of the number of times one quantity is contained in another quantity.

The ADA guidelines requires that the rise angle ≤ 4.8°

The vertical ratio of the ramp ≤ 1:12

The distance the handicapped ramp must start = 15 feet from the front entrance

The rise of the ramp estimated by the contractors = 3 feet

Part A; The vertical to horizontal ratio of the ramp in the question = 3/15, which is 1:5

Therefore, the ramp does not meet ADA guidelines that requires a vertical to horizontal ratio of less than or equal to 1:12

Part B:

The ramp can be made to meet ADA guideline, whereby the horizontal distance from the entrance can be be adjusted as follows;

Let d represent the required horizontal distance of the front entrance, we get;

3:d = 1:12

From which we get;

[tex]\dfrac{3}{d} =\dfrac{1}{12}[/tex]

3 × 12 = 1 × d

d = 36

The horizontal distance of the front entrance of the ramp should be 36 feet away.

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Given:

As angle N is 90 degree.

To find the bearing of flight from Elgin to Canton.

Use the sin ratio,

The bearing angle ( clockwise from north ) can be calculated by subtracting the above angle from the west bearing angle of 270 degree.

Answer: 239.37 degree

Answer:

the equation would be 1.67x+0

The SAS triangle congruence postulate proves that these triangles are congruent .

Given,

In the figure,

There are two triangles ABC and Triangle XYZ

Now, According to the question:

Consider the triangle ABC and triangle XYZ .

we can see that

(i) angle C = angle Z          .....given in the figure

(iii) side AC = side XZ         .... given in the figure

(ii) side BC = side ZY          ....given in the figure

From the above three statements we conclude that

ΔABC ≅ ΔXYZ

both the triangles ABC and XYZ are congruent by SAS Congruence Postulate .

Therefore , The SAS triangle congruence postulate proves that these triangles are congruent .

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No. of dimes in the bag will be = 17

In the algebraic form y=mx+b, where m denotes the slope and b the y-intercept, a linear equation is defined as a first-order (linear) term plus a constant. When x and y are the variables, the previous statement is occasionally referred to as a "linear equation of two variables."

5.7 grams -------> one quarter

2.3 grams -------> one dimes

5.7 q + 2.3 d = 141.7

given q = 18

5.7 * 18 + 2.3 d = 141 .7

2.3d = 141.7 - 102.6

2.3 d = 39.1

d = 39.1 / 2.3

d = 17

therefore ,  no. of dimes in the bag will be = 17

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Given two numbers a and b

Their Arithmetic mean (A), Geometric mean (G) and Harmonic mean (H) are given below,

To find the formula that correctly relates H, a and b,

Relating the last two equations, i.e the geometric and harmonic mean below,

Substituting for A into the above expression,

Hence, A is the correct option.

The population of the rabbit in 2009

Given that the population of rabbits on an island which is growing exponentially

So let the population be as P = P₀ [tex]e^{bt}[/tex]

where P₀ and b are constants and t = current year - 1994

In 1994, time is equal to 0

the population of rabbit , P = 9,600

so thus the expression becomes

P₀ = 9,600

and in 2000 , t = 2000 - 1994 thus time = 6 years and population of the rabbit is 18,400

[tex]18400 = 9600[/tex] × [tex]e^{b 6}[/tex]

18400 / 9600 = [tex]e^{b 6}[/tex]

23/ 12 = [tex]e^{b 6}[/tex]

Taking log on both sides

ln 1.92/ 6 = b

b = 0.109

On putting the value of P₀ and b the population of the rabbit after t years from 1994 is

P = 9600 × [tex]e^{0.109}[/tex] [tex]^{t}[/tex]

In 2009, t = 2009 - 1994 = 15 years

So, the population of the rabbit in 2009

thus P= 49243

Hence we can say that the population of the rabbit in 2009

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Answer:

It's 28495

Step-by-step explanation:

We have the following:

solving for x:

Therefore, the system has no solution

Given:- The triangle with dimensions in it.

To find:- Which triangle is congruent to triangle MNO.

Solution:-

As we know that two triangles are congruent only when they satisfy one of the given rules.

1. SSS (Side-side-side) congruency rule.

2. SAS (side-angle-side) congruency rule.

3. ASA (Angle-Side-Angle) congruency rule.

4. AAS (Angle-Angle-Side) congruency rule

5. RHS (Right angle-Hypotenuse-Side) congruency rule.

So, check one by one option.

Option A:-

One side is 4.6 cm, another side is 4.99 cm and one angle is 60 degrees.

But it does not satisfy any of the congruency rules because there are 2 sides and then one angle.

So, option A is incorrect.

Option B:-

In option B there are three angles given 70 degrees, 60 degrees and 50 degrees. But to prove that the triangle is congruent we need at least one side.

So, Option B is incorrect.

Option C:-

In option C, there are only two sides given as 4.07 cm and 4.99 cm and to prove that the triangles are congruent we need at least three measurements of the triangle.

So, option C is incorrect.

Option D:-

In option D, there is one side of 4.07 cm, then one angle of 60 degrees and then one side of 4.99 cm. And we can observe that there is an angle between the two sides.

So, it follows SAS (side-angle-side) congruency rule.

So, Option D is correct.

Final answer:-

Therefore, the answer is option D.

The value of ∠GFH=59°, in the given question.

What do you mean by angle?

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.

According to the data in the given question,

We have :

∠EFH=127°

∠EFG=(8x-4)°

∠GFH=(5x+14)°

Now, we have to solve the value of ∠GFH,

∠EFG+∠GFH=∠EFH

Putting the values given and solve for x,

(8x-4)°+(5x+14)°=127°

8x°-4°+5x°+14°=127°

13x°+10°=127°

13x°=127°-10°

13x°=117°

x=9

Then, putting the value of x in ∠GFH,

∠GFH=(5x+14)°

=(5(9)+14)°

=(45+14)°

=59°

Therefore, the value of ∠GFH=59°.

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The distance between point A and point B is 75.6 feet.

Let's set up a right triangle with the lighthouse at the top and the boat at points A and B at the bottom, with the base of the triangle being the horizontal distance between the two points.

We can then use the trigonometric function tangent to solve for the vertical distance between points A and B, which is given by the formula:

tan(angle of elevation) = vertical distance / horizontal distance

For point A, the angle of elevation is 8° and the horizontal distance is 1083 feet. So, the vertical distance from point A to the lighthouse is given by:

tan(8°) = vertical distance / 1083 feet

Solving for the vertical distance gives us:

vertical distance = tan(8°) * 1083 feet

For point B, the angle of elevation is 4° and the horizontal distance is still 1083 feet. So, the vertical distance from point B to the lighthouse is given by:

tan(4°) = vertical distance / 1083 feet

Solving for the vertical distance gives us:

vertical distance = tan(4°) * 1083 feet

Now we can find the distance between points A and B by subtracting the vertical distance from point A to the lighthouse from the vertical distance from point B to the lighthouse. This gives us:

distance between point A and point B = (tan(8°) * 1083 feet) - (tan(4°) * 1083 feet)

Plugging in the numerical values, we get:

Distance between point A and point B = (0.1403 * 1083 feet) - (0.0698 * 1083 feet)

Simplifying, we get: distance between point A and point B = 75.6083 feet

Therefore, the distance between point A and point B is 75.6 feet.

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The tip is 20%. Franco and Abelita want to quit the server.

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The percentage thus denotes a component per 100. Percentage refers to a division by 100. The letter "%" stands for it.

Total Amount of Bill=11.72 is an expression that will equal the full amount, including tax and gratuity.

=11.72+11.72×20/100

=11.72+{(0.2)×11.72}

=11.72×(1+0.2)

11.72×1.02

Option C→11.72+0.2×(11.72)

And Option D→11.72×(1.02)

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Answer:

True is the correct answer for this

An equivalent statement is CD overbar congruent to EF overbar.

What is a line segment?

The line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.

Here,

Line segment CD is congruent to line segment EF and in geometry, an overbar represents a line segment.

So, we can say that the CD overbar means line segment CD and the EF overbar means line segment EF.

Hence, An equivalent statement is CD overbar congruent to EF overbar.

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ANSWER

s < 10

EXPLANATION

With the 'less than' or 'greater than' symbol we can see that it's like an equal sign that has been shrinked on one end. In the smallest end we have to write the smallest expression or number and in the largest end we have to write the greatest expression or number.

For example: 5 < 10 is the same as 10 > 5, because the smallest number (5) is in the smallest end of the sign and the greatest number (10) is in the largest end of the sign in both expressions.

If 's' is the number of stamps, the expression says that there are 'less than' 10 stamps at the post office, so 's' has to be in the smallest end of the sign.

Answer: c to the power of 25

Step-by-step explanation: c can stay on its on 5 squared is 25 so the answer is c *25

Usa la ley de seno para hallar la medida del angulo B:

Como la suma de los angulos interiores de un triangulo siempre es 180°, usa la medida del angulo A y angulo B para hallar la medida del angulo C:

Usa la ley de seno para hallar la medida del lado c:

Entonces, las medidas que tenias que hallar so;

B=21.55°

C=122.45°

c=11.48

Answer:

C

Step-by-step explanation:

x²+5x=-6

Collect like terms

x²+5x+6=0

Factors that when multiplied will give us 6 and when added will give us 5 are 2 and 3.

Therefore,

x²+5x+6=0

x²+2x+3x+6=0

Factorizing;

x(x+2)+3(x+2)=0

Pick one (x+2)

(x+2)(x+3)=0

x+2=0 x+3=0

x=2 and x=3

The exponential decay formula is:

where y is the final cost, a is the initial cost, r is the annual decreasing rate (as a decimal), and t is the time in years.

Substituting with a = $60, r = 0.09, and t = 3 years, we get:

It will cost $45.21 in 3 years