solve the following 2-step equations for x

Step-by-step explanation:

3.75 pounds of candy = $20.25

1 pound of candy = $20.25/3.75 = $5.4

Answer:

$5.40  

because $20.25/3.75 = 5.4

Answer:

first box is 18 second is 32 and third is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

3   6     8

18   36   48

your ratio is 1:6, so  however many boxes you have, just multiply by 6 to get the candle number

Answer:

The third side is 2√14

Step-by-step explanation:

The third side is found using Pythagorean theorem

=√(√92)²-(6)²

=√92-36

=√56

=2√14

Answer:

\( {5x }^{2} + 11x - 13\)

Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

If someone gets ' T ' minutes of talk time for the cost $ D so the rate of getting talk time per dollar is given by = T / D.

Given that the Tiffany pays a sum of $ 40 for talking 160 minutes on her cell phone.

So for $ 40 Tiffany gets the talk time of 160 minutes on her cell phone.

For $ 1 Tiffany gets the talk time of = 160 / 40 = 16 / 4 = 4 minutes on her cell phone.

Hence, Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

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\(c = 15d\)

Step-by-step explanation:

find the value of the constant of proportionality k

\(k = \frac{v}{d} \)

c =total cost

d =days

Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

0.819152 = \(\frac{\text{RQ}}{\text{PR}}\)

0.819152 = \(\frac{RQ}{9}\)

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

Answer:

It's 21.98 cm

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

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Answer:

4.52secs

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

t = 4.52 secs

Hence it will take 4.52secs for the object to travel 84feet

The height of the drop can be increased by stacking tables, and we can then observe the effect on the pennies' trajectory.

To increase the height from which the pennies are dropped, we can stack two tables. To do this, first, place one of the tables on a level surface. Then, move the other table so that it is parallel to the first table, and place it on top. Make sure that the two tables are securely stacked and do not wobble. Then, use a ruler to measure the height of the two tables combined. This will give us the new height from which the pennies will be dropped. After that, drop the pennies from the new height and observe their trajectory. We can then compare the trajectory of the pennies when dropped from the increased height with the trajectory when dropped from the original height. This will allow us to determine the effect of the increased height on the pennies' trajectory.

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(a) The distance of P from O when it is instantaneously at rest is 40 metres. (b) The values of t are 5 and 1 second. (c) The average velocity = 2/2 = 1 m/s. (d) The total distance travelled in the first 6 seconds is -234 meters.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

a) To find the distance of P from O when it is instantaneously at rest, we need to find the value of s when t = 0.

s = t³ - 9t² + 15t + 40

s = 0 - 9(0)² + 15(0) + 40

s = 40

So the distance of P from O when it is instantaneously at rest is 40 metres.

b) To find the values of t when the acceleration has a magnitude of 9 ms, we need to find the roots of equation 3t² - 18t + 15 = 0.

We can solve this equation by factoring or using the quadratic formula.

3t² - 18t + 15 = 0

(t-5)(t-1) = 0

t = 5, 1

So the values of t are 5 and 1 seconds.

c) To find the average velocity of P during the first 2 seconds, we can use the formula for average velocity:

average velocity = (distance travelled)/(time taken)

We can find the distance travelled by finding the value of s at t = 2 and t = 0 and subtracting them.

s = t³ - 9t² + 15t + 40

s(2) = 8 - 36 + 30 + 40 = 42

s(0) = 0 - 9(0)² + 15(0) + 40 = 40

distance = 42 - 40 = 2 metres

time = 2 - 0 = 2 seconds

average velocity = 2/2 = 1 m/s

d) To find the total distance travelled in the first 6 seconds, we can find the value of s at t = 6 and t = 0 and subtract them.

s = t³ - 9t² + 15t + 40

s(6) = 216 - 540 + 90 + 40 = -194

s(0) = 0 - 9(0)^2 + 15(0) + 40 = 40

distance = -194 - 40 = -234 metres

So the total distance travelled in the first 6 seconds is -234 meters.

Note that distance travelled is negative, which means that the particle is moving in the opposite direction of O.

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The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Answer:

(i) This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.

(ii) It is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.

Step-by-step explanation:

To determine whether the three squares can exactly surround a right-angled triangle, we need to use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's assume that the three squares have side lengths a, b, and c, with areas of 7 cm², 17 cm², and 10 cm², respectively. Then, we have:

a² = 7 cm²

b² = 17 cm²

c² = 10 cm²

We need to find out whether there exist values of a, b, and c that satisfy the Pythagorean theorem. If such values exist, then the three squares can surround a right-angled triangle.

We can rearrange the equations above to solve for a, b, and c:

a = √7 cm ≈ 2.65 cm

b = √17 cm ≈ 4.12 cm

c = √10 cm ≈ 3.16 cm

Now, we can check whether the Pythagorean theorem holds:

c² = a² + b²

(√10 cm)² = (√7 cm)² + (√17 cm)²

10 cm = 7 cm + 17 cm

This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.

In general, it is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.

Answer:

i d k 20???????????

Step-by-step explanation:

Answer:

The visitor attended no special exhibits and so paid a total of $10 just to get in.

An equation to represent the cost of admission could look like this:

f(x) is the total cost.

x is the number of special exhibits attended.

f(x) = 2x + 10

If I see no special exhibits on my visit,

x = 0, then

f(0) = 2•0 + 10

f(0) = 10

I only pay $10.

Answer: -4.6

Step-by-step explanation:

you can solve this problem by multiplying 5 by -0.92

you can also check your answer by plugging -4.6 in for x

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

a-1234 x

b-2222222f

Step-by-step explanation:

When you take a strip of paper, put two half twists in it, and glue the ends together and then cut it lengthwise along the center core line, it results in two interlocked loops.What you get is two interlocked loops when you cut it lengthwise along the center core line. This occurs because the paper strip has been twisted twice. The twist that was made in the paper strip produces two loops that are intertwined after it is cut down the center line.Paper is quite a flexible substance. When it's twisted, it retains its new shape. Because of this, when you twist a strip of paper, it retains its new form. When the strip is bent and connected to form a loop, the twisted part becomes embedded in the paper's core. This produces two loops that are interconnected. When the loop is sliced down the middle, the two loops remain interconnected since the twists in the strip have become embedded in the core.

There are 2002 different special pizzas possible with any 5 toppings chosen from a selection of 14 toppings.

To calculate the number of different special pizzas possible, we need to determine the number of combinations of 14 toppings taken 5 at a time.

The formula for calculating combinations is given by:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of items to choose from, and r is the number of items to be chosen.

In this case, we have n = 14 (the total number of toppings) and r = 5 (the number of toppings to be chosen for the special pizza).

Using the formula, we can calculate the number of different special pizzas:

C(14, 5) = 14! / (5!(14-5)!)

= (14 * 13 * 12 * 11 * 10) / (5 * 4 * 3 * 2 * 1)

= 2002

Therefore, there are 2002 different special pizzas possible with any 5 toppings chosen from a selection of 14 toppings.

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The value of and b are

a=9

b=16

Generally, The triangles from the image are not similar because the depictions of the side do not tally the first triangle has angles 35 and 70 respectively while the second triangle has angles 35 and 70

The triangles are similar for the first and second comparison as the dots tends to indicate that

Now the missing side are

3=a

5=15

a=9

and

15=b

20= 12

b=16

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Answer: the shortest distance from Port A to Port B is approximately 191 kilometers.

Step-by-step explanation:

We can solve this problem using the Pythagorean theorem.

Let d be the shortest distance from Port A to Port B, and let x be the distance traveled by the ship in the north direction. Then the distance traveled in the west direction is (d^2 - x^2)^(1/2).

We know that the ship travels at a speed of 32 km/h for 3 hours in the north direction, so x = 32 km/h * 3 h = 96 km. We also know that the ship travels at a speed of 30 km/h for 5.5 hours in the west direction, so (d^2 - x^2)^(1/2) = 30 km/h * 5.5 h = 165 km.

Solving for d, we have:

d^2 = x^2 + (d^2 - x^2)

d^2 = x^2 + (d^2 - x^2)

d^2 = x^2 + d^2 - x^2

d^2 = d^2

Therefore, the equation is satisfied for any value of d. However, we know that d is the shortest distance from Port A to Port B, so we take the positive square root:

d = sqrt(x^2 + (d^2 - x^2))

d = sqrt(96^2 + 165^2)

d ≈ 191 km

Answer:

3 days away????

Step-by-step explanation:

The answer should be obtuse. I'm not sure why it is saying it's incorrect but none of the other answers make sense.

Answer:

50%

Step-by-step explanation:

Answer:

50% !! for sure :)

Step-by-step explanation:

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

If A is diagonalizable, then A is invertible.

This statement is false.

What is diagonalizable matrix?

If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

In this case we can construct an invertible matrix P.

If A is diagonalizable, then A is invertible.

This statement is false.

It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.

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