Solve for Z.
X= 2/3(Y+Z)

The road was 9.62 miles long after rebuilding.

The road was initially 3.7 miles long

After a rebuild it was 2.6 miles as long

The new length can be calculated by multiplying the initial length which is  3.7 by 2.6

= 3.7 × 2.6

= 9.62

Hence, after the rebuild the road was  9.62 miles long

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Answer:

C

X=6

Step-by-step explanation:

7+5x-15=22

5x-8=22

5x=22+8

5x=30

X=30/5

X=6

Answer:

Around 25.8 square units

Step-by-step explanation:

\(A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8\)

Hope this helps!

Answer: number 1. 4 number2. 7

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

1. Given

Jordan paid $550

from $550  $240 is for the parts

he paid $65 per hour

so 550-240

= 310

then if

1 hour = $65

        ?  =$310

310*1/65

=4.76 hour

final answer for first question is 4.76 hour

Answer:

B

Step-by-step explanation:

Answer:

Mark's comission last month was $450.

Step-by-step explanation:

From the information provided, you know that last month, Mark's total clothing sales were $1,500 and that he earns a 30% comission on his total sales, so you have to calculate 30% of $1,500 to determine his comission last month:

$1,500*30%=$450

According to this, the answer is that Mark's comission last month was $450.

Answer:

Step-by-step explanation:

she ate 1/4 of the batch = 16/4 = 4 muffins were left

she baked two more batches = 16* 2 = 32

4 + 32 = 36 muffins

or

no. of muffins in a batch: 16

no of muffins he ate = 1/4 of 16

                                 = 4

no. of muffins left: 16 - 4= 12

his mother then baked 2 more batches= 16+16

                                                                =32

no. of muffins left = 32+12 = 44

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Answer:

44

Step-by-step explanation:

16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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Answer:

I am not sure if i am correct Buttttt

Step-by-step explanation:

25:180

Answer:

I'm pretty sure it's (180, 1.5) (120, 3.5)

Step-by-step explanation:

I don't think that is right but maybe because it's the coordinates for the two points

To find the resistance to the motion of the train, we need to consider the forces acting on the train. One of these forces is the gravitational force pulling the train down the slope, which can be calculated as:
Force_gravity = mass * acceleration due to gravity
Where mass is the mass of the train and acceleration due to gravity is approximately 9.8 m/s².

The component of the gravitational force acting down the slope can be found by multiplying the gravitational force by the sine of the angle a:
Force_down_slope = Force_gravity x sin(a)
The net force acting on the train is equal to the mass of the train multiplied by its acceleration:
Net_force = mass x acceleration
Since the acceleration is given as 0.05 m/s², we can substitute this value into the equation:
Net_force = (2 x 10⁵ kg) x (0.05 m/s²)
The resistance to motion is equal to the net force minus the force down the slope:
Resistance = Net_force - Force_down_slope
Now we can substitute the values into the equation to find the resistance:
Resistance = ((2 * 10⁵ kg) x (0.05 m/s²)) - ((2 x 10⁵ kg) x (9.8 m/s²) x sin(a))
Substituting sin(a) = 1/100 into the equation:
Resistance = ((2 x 10⁵  kg) x (0.05 m/s²)) - ((2 x 10⁵  kg) x (9.8 m/s²) x (1/100))

Simplifying the equation:
Resistance = (10,000 kg m/s²) - (196,000 kg m/s²)
Resistance = -186,000 kg m/s²
Therefore, the resistance to the motion of the train is -186,000 kg m/s².

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The possible ways to find the length of the hypotenuse of a triangle are by using the Pythagorean theorem, the midpoint formula, and the distance formula.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. Given the vertices of the triangle, you can calculate the lengths of the sides using the distance formula, which measures the distance between two points in a coordinate plane. Once you have the lengths of the two sides, you can apply the Pythagorean theorem to find the length of the hypotenuse.

The midpoint formula can be used to find the midpoint of a line segment between two points. While it does not directly provide the length of the hypotenuse, it can be used to find the coordinates of the midpoint of the hypotenuse, which can then be used to calculate its length using the distance formula.

In order to calculate the slope of the hypotenuse, you would need the coordinates of two points on the hypotenuse. However, in the given information, the coordinates of the vertices are missing, so it is not possible to determine the slope.

In conclusion, the correct ways to find the length of the hypotenuse are by using the Pythagorean theorem and the distance formula, while the midpoint formula can be used to find the midpoint of the hypotenuse. However, finding the slope of the hypotenuse is not possible without additional information.

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Answer:

x2+x-2

Step-by-step explanation:

i had this question before

Answer:

\(y = mx + c\)

\(1 = - 3 \times 6 + c\)

\(1 = - 18 + c\)

\(1 + 18 = - 18 + 18 + c\)

\(19 = c\)

\(y = 6x + 19\)

Answer:

-13degrees

Step-by-step explanation:

When a temp fall, it means it get colder, and if it gets colder that means heat is released, therefore a negative value.

Fell 8 degrees = - 8

Therefore the new temp is always

old temp+new temp

- 5 +( - 8)

-5 - 8

= - 13

The trigonometric function simplified as a single expression is cosec² t .

The given trigonometric function is  : \(\frac{sin^2t+cos^2t}{sin^2t}\)

We know from trigonometric identity : that sin²t +cos²t = 1

hence the given expression simplifies to 1 / sin²t

Again trigonometric ratios states that :

1 / sin t =  cosec t

∴ 1 / sin²t = cosec² t

Hence the trigonometric function is of the form cosec² t .

The right-angled triangle's angle and the ratios of its two side lengths are connected by the trigonometric functions, which are actual functions. They are also referred to as goniometric functions, circular functions, and angle functions .

The three trigonometric functions that are used in modern mathematics the most commonly are sine, cosine, and tangent. The less frequent cotangent, cosecant, and secant are their reciprocals.

Disclaimer: The complete question is :

simplify sin² ( t ) + cos ² ( t ) / sin ² ( t ) to an expression involving a single trig function with no fractions.

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Answer:  11/16

Step-by-step: Whenever dealing with a problem like this. Times how many times its being tossed: 4x2 Then times that by two again: 4x2x2.

The probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375, and this can be calculated using either the counting method or the binomial probability formula.

The probability of getting heads or tails on a single coin toss is always 1/2 or 0.5. In order to determine the probability of getting heads at least twice when tossing a fair coin four times, we need to consider all the possible outcomes.
There are a total of 16 possible outcomes when tossing a fair coin four times, as each coin toss can result in either heads (H) or tails (T). These outcomes are:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
Out of these 16 possible outcomes, there are 6 outcomes in which heads appear at least twice:
HHHH
HHHT
HHTH
HHTT
HTHH
THHH
Therefore, the probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375.
Another way to calculate this probability is by using the binomial probability formula:
P(X≥2) = 1 - P(X<2)
P(X<2) = P(X=0) + P(X=1)
Where X is the number of heads that appear in four coin tosses.
P(X=0) = (1/2)^4 = 1/16
P(X=1) = 4(1/2)^4 = 4/16
Therefore, P(X<2) = 1/16 + 4/16 = 5/16
And P(X≥2) = 1 - 5/16 = 11/16 or 0.375.
In conclusion, the probability of getting heads at least twice when tossing a fair coin four times is 6/16 or 0.375, and this can be calculated using either the counting method or the binomial probability formula.

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Answer:

The question is asking what is the volume of water in the full pool.  It is 70 liters.

Step-by-step explanation:

Let P represent the volume of a full pool.

"2/5 of a kiddy pool was filled with water" can be written as:

(2/5)P.

"After pouring out 5/7  of the amount of [I assume from the 2/5P] water in the pool" can be written as:

(2/7)(2/5)P, or (4/35)P       [This represents the amount of water remaining in the pool after the above shenanigans.]

The we are told that when 62 liters are added back to the pool, it is full.  That can be written as:

62 + (4/35)P = P  [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]

62 = (31/35)P

P = 62(35/31)

P = 70 liters

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Answer:

352

Step-by-step explanation:

The terms

a₁ = 44 , a₃ = 88, a₅ = 176 are doubling each time, thus

a₇ = 2 × 176 = 352 ← the next term

\((x - 5) = 12 \\ = > x = 12 + 5 \\ = > x = 17\)

The answer is 17.

Answer:

y = -6x + 42

Step-by-step explanation:

Slope (m) =(y2-y1)/(x2-x2) = -6/1 = -6

b=42

Answer:

1500 - 30x

Step-by-step explanation:

Aquí, queremos obtener una función que describa la cantidad de litros que quedan en la piscina a las x horas después de abrir la salida de drenaje.

De la pregunta, la capacidad total de la piscina. es de 1.500 litros.

La tasa de goteo es de 0,5 litros por minuto.

x horas es lo mismo que 60 * x = 60x minutos

La cantidad de litros caídos en 60x minutos será 60x * 0,5 litros = 30x litros.

Entonces el número de litros que quedan será; 1500 - 30x

The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.

To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.

So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.

To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.

Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1

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Answer:

90%

Step-by-step explanation:

Because we're looking for the minimum score which Michaela could earn to for the mean of her quiz grades to be an 85% or above, we can use an inequality and allow x to represent the final score needed:

85 ≤ (72 + 77 + 84 + 86 + 92 + 94 + x) / 7

595 ≤ 505 + x

90 ≤ x

Thus, 90% is the minimum score Michaela must earn on the last quiz for the  mean quiz grade to be at least 85% or higher.

Answer:

a=7 b=24 c=25

Step-by-step explanation:

Leg a=7

Leg b=24

According to Pythagorean theorem: a^2+b^2=c^2

49+576=c^2

C^2=625

c=25

Answer:

Step-by-step explanation:

This is a right triangle, so we may apply the Pythagorean Theorem.  The two leg lengths are 7 and 24 respectively, and so the length of the hypotenuse is

√(7² + 24²) = 25

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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The equation of the circle with the centre (5,7) and containing the point p (1,9) is \(\sqrt{20} =(x-5){2}+(y-7){2}\)

The equation for a circle in standard form is \((x-x1){2}\)+ \((y-y1){2}\)  = \(r{2}\), where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's centre.

The equation of a circle with centre (x1,y1)

\((x-x1){2}\)+ \((y-y1){2}\)  = \(r{2}\)

we know the centre , which is (5,7) so the equation changes to:

\((x-5){2}\)+ \((y-7){2}\)  = \(r{2}\)

putting the values of the point p we get

\((1-5){2}\) \(+ (9-7){2}\)\(= r{2}\)

r=\(\sqrt{20}\)

so the equation of the circle will be:

\(\sqrt{20} =(x-5){2}+(y-7){2}\)

Therefore the equation that satisfies the given condition of a circle with centre (5,7) and containing point p (1,9) is \(\sqrt{20} =(x-5){2}+(y-7){2}\)

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To find the average rate of change of the function p(x) = 3x 6 on the interval specified for the real number h, we need to calculate the difference in the function values divided by the difference in x-values.

Let's say the interval is from x = a to x = b, and h is a real number such that a < h < b.
The average rate of change of the function p(x) on this interval is given by:
(p(b) - p(a))/(b - a)
Substituting the function values, we have:
[(3b 6) - (3a 6)]/(b - a)

To calculate the average rate of change, you need to provide the values of a, b, and h.

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9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at