1/5 times 3/10



Thank you

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”

The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .

Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.

Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.

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The y- intercept represents the anticipated number of gloves  vended on a day when the low temperature is 0 degrees.    

The terms you mentioned are  formerly included in the problem description.  The y- intercept of the equation is the value of y when x =  0. In the given line of fit equation,

y = -1.2 x 122, the y- intercept is 122.  The y- intercept represents the anticipated number of gloves  vended on a day when the low temperature is 0 degrees. In this case, when the low temperature is 0,

the store is  prognosticated to  vend 122 gloves. Keep in mind that this is an estimate grounded on the line of fit and may not be an exact value.

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Answer:The answer is letter E

Step-by-step explanation:

If you divide 4/15 you get 0.2666.

If you solve all of the choices letter E is equivalent to the expression.

Answer:

50cm^2

Step-by-step explanation:

side length is square root 50 so you multiply  square root 50  by  square root 50 which gives you 50

Answer:

Bottom right table

Step-by-step explanation:

A table will show a linear relationship when there is a common difference. To determine this, we first ensure that the x values are increasing at the same value and then find the difference of consecutive y values.

Top left table

11-7=3

12-11=1

13-12=1

Because the differences between the y values are not all the same, this table does not represent a linear function.

Top right table

9-7=2

12-9=3

15-12=3

Again, there is no common difference, so this table does not represent a linear function.

Bottom left table

The x values are different now but they still increase by the same increment each time, so we continue subtracting the y values normally.

9-7=2

12-9=3

15-12=3

This table does not represent a linear function.

Bottom right table

9-7=2

11-9=2

13-11=2

Because there is a common difference, this table represents a linear function.

I hope this helps!

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Internal angles sum: 180(sides-2) = 180

5x = 180 - (48 + 90 + 17)

x = 25/5

x = 5

answer: 5

proof:

(90 + 48) + (5(5)+17) = 180

Answer:

x=5

Step-by-step explanation:

We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.

Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.

Now set the unknown angle equal to 42. (5x+17) = 42

Subtract 17from both sides to get 5x=25

Divide 5 from both sides to get x=5

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

Answer:

p = 1⅖

Step-by-step explanation:

Answer:

\( m \angle \: 1 = 120 \degree\)

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

\(m \angle \: 1 = 120 \degree\)

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

I'm confused, do u just need a formula?

Answer:

D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.

Step-by-step explanation:

I got it right on the practice

Answer:

Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for

the given situation.

Answer:

1550mL

Step-by-step explanation:

Change Litre to milliliters :

2L = 2×1000 ml

= 2000 ml

2000ml- 450ml

= 1550 ml

Answer:

y = (3/4)x-9/2

Step-by-step explanation:

We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have

\(y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2\)

Answer:

x=0

Step-by-step explanation:

Distribute -4

-8x - 24 = -24

Add 24 to both sides

-8x = 0

x=0

Answer:

x=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−4(2x+6)=−24

(−4)(2x)+(−4)(6)=−24(Distribute)

−8x+−24=−24

−8x−24=−24

Step 2: Add 24 to both sides.

−8x−24+24=−24+24

−8x=0

Step 3: Divide both sides by -8.

−8x

−8

=

0

−8

x=0

Answer:

x=0

There are 29% of the Planes are Green.

The percentage is defined as a ratio expressed as a fraction of 100.

Total number of green planes = 250

The total number of green vehicles = 870

The percent of green planes = (number of green planes/number of total green vehicles) x 100

The percent of green planes = (250/870) x 100

The percent of green planes = 0.2873 x 100

The percent of green planes = 28.73

Round to the nearest percent, and we get

The percent of green planes = 29%

Thus, 29% of Planes are Green.

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The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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EXPLANATION:

Given;

We are given the polynomial below;

Required;

We are required to divide the polynomial by;

Step-by-step solution;

We shall apply the synthetic division method of dividing polynomials.

The first step would be to re-arrange the polynomial in standard form. This is shown below;

Next step, we list out the coefficients of the polynomial;

Next step, we identify the zeros of the denominator;

We can now write down the question in synthetic division format;

Next step, we carry down the leading coefficient below the division symbol.

Next step, we multiply this value by the zero of the denominator that is, 5/3.

That gives us;

Now we write 10 right under the next coefficient and that is -19. We add both together (-19 + 10 = -9) and write the result below the division symbol. Next we multiply this too by the zero of the denominator and we have;

We write this too under the next coefficient and we have;

We multiply this too by 5/3 and we have 20. Write this right under the next coefficient and add up and we now have;

The result we have come up with are the coefficients beneath the division symbol and that is;

The last number is the remainder and the result of the division carried out will be;

This is otherwise written out as follows;

ANSWER:

\(\huge\red{\mid{\underline{\overline{\textbf{EQUATION AND ANSWER}}}\mid}}\)

_________________

Let's solve this equation using rates,

Unit Rate - A unit rate means a rate for one of something.

Cross Multiplication - In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

_________________

Now that we understand the definition we can further solve this equation

\(\large\red{\mid{\underline{\overline{\textbf{Values}}}\mid}}\)

\(165\) \(km\) ⇒ \(1.5\) \(hr\)

\(x\\\) \(km\) ⇒ \(2.2\) \(hr\)

Now we will use cross-multiplication to solve this equation

\(\large\red{\mid{\underline{\overline{\textbf{Equtation}}}\mid}}\)

\(165 \cdot 2.2\\x\cdot1.5\)

Once solving this equation we get

\(1.5x=363\) \(km\)

Divide both sides by \(1.5\)

\(x=242\) \(km\)

\(\large\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}\)

The train would've traveled a total of 242 km in 2.2 hours.

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Answer:

x = 10

Step-by-step explanation:

2+3+4+5+6 = 20

(20 + x) / 6 = 5

cross-multiply:

20 + x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

There are 6 numbers in total: 2, 3, 4, 5, 6, and whatever x is. In order for the average to be 5 in this scenario, all numbers must add up to 30, because 30/6 = 5.

2 + 3 + 4 + 5 + 6 = 20. 30-20=10. This means x would need to equal 10.

Answer:

About 34%

Step-by-step explanation:

Given that :

Mean, m = 59 ; Standard deviation, s = 3

Bulb replacement numbering between 59 and 62

For, x = 59

Zscore = (x - m) / s

Z = (59 - 59) / 3 = 0

For x = 62

Z = (62 - 59) / 3 = 1

P(Z < 1) - P(Z < 0)

0.84134 - 0.5

= 0.34134

About 34%