If you have the 1st number and HCF of a question and need 2nd number how will you find the 2nd number

Answer:

x=10 and x=-9

Step-by-step explanation:

Factor:

(x-10)(x+9)=0

x-10=0

x=10

and

x+9=0

x=-9

Answer:

24 days

Step-by-step explanation:

Given

\(Pages = 528\)

\(Rate = 22\)

Required

The number of days

The number of days (d) is calculated as:

\(d = \frac{Pages}{Rate}\)

\(d = \frac{528}{22}\)

\(d = 24\)

The correct statements about the solids are:

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: \(2x^{2} h\)

The volume of the second triangle is: \(x^{2} h\)

Therefore, the correct statements about the solids are:

Know more about solids here:

https://brainly.com/question/21036176

#SPJ4

The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.

Answer:

Min: 32

Lower Quartile: 36

Median: 42

Upper Quartile: 47

Max: 53

Interquartile: 11

Step-by-step explanation:

The min. is just the lowest number.  The lower quartile is the number in the middle of the numbers below 42, the median is the number in the very middle, the upper quartile is the middle number above 41 and the interquartile is the upper quartile minus the lower quartile.  

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

If two ratios have the same value when simplified, then they are called Equivalent Ratios.

Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

As we want 3 equivalent ration in higher terms we will multiply it

4 : 7

by multiply with 2

4* 2 : 7* 2

8 : 14

by multiply with 3

4* 3 : 7* 3

2 : 21

by multiply with 4

4* 4 : 7* 4

16 : 28

you can multiply with any nonzero number

Hope this helped!

Have a great day!

A pizza that is 20 inches in diameter provides sevenfull meals.

Given that a pizza that is 12 inches in diameter provides four full meals, we need to find the number of meals provided by a pizza that is 20 inches in diameter.

To find the number of meals provided by a pizza that is 20 inches in diameter, we can use the following proportion:

12 inches : 4 meals = 20 inches : x meals

where "x" represents the number of meals provided by a pizza that is 20 inches in diameter.

Cross-multiplying, we get:

12 inches × x meals = 20 inches × 4 meals

x = (20 inches × 4 meals) ÷ 12 inches

x = 6.67 meals

Therefore, a pizza that is 20 inches in diameter provides 7 full meals.

To know more about diameter click here:

https://brainly.com/question/5501950

#SPJ11

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

Learn more about Acceleration here: brainly.com/question/29761692
#SPJ11

The sphere has a volume of around \(221.83\) cubic inches.

All of the points on a circle are equally spaced apart from the center along a line, whereas all of the points on a sphere are equally spaced apart from the center along any of the axis. In the case of a ring, we can only calculate the area, however for a sphere, we can compute both the surface area and the volume.

The volume of a cuboid generated by stretching the dimensions of rectangles in place is equal to: Volumes = length \(*\) width \(*\) height, for instance, if the area of a rectangles is length \(*\) breadth.

\(V = (4/3)\)π\(r^{3}\)

where \(r\)  is the radius of the sphere.

In this problem, the radius of the sphere is half the diameter, which is \(11\)inches. Therefore, the radius is:

\(r = d/2 = 11/2 = 5.5\) inches

Substituting this value into the formula for the volume of a sphere, and using the approximation π \(=3\), we get:

\(V = (4/3)\)π\(r^{3}\) \(= (4/3)(3)(5.5^{3} ) = (4/3)(3)(166.375) = 221.83 in^{3}\)

Therefore, the volume of the sphere is approximately \(221.83\) cubic inches.

To know more about sphere visit:

https://brainly.com/question/28284126

#SPJ1

In the given conditions as Time = Work ÷ Rate, It will take approximately 13.33 hours to fill the pool.

By using the forumula,

Time = Work ÷ Rate ,where the rate is given by the reciprocal of the time.

Let's represent the rate of the inlet and outlet pipe with r1 and r2 respectively.

Then, the formula for the rate of the inlet pipe can be expressed as:

r1 = 1 ÷ 5 = 0.2

And the formula for the rate of the outlet pipe can be expressed as:

r2 = 1 ÷ 8 = 0.125.

Now, to determine the rate at which both pipes fill the pool,we need to add the rate of the inlet pipe and the rate of the outlet pipe:

r = r1 - r2 = 0.2 - 0.125 = 0.075.

This means that the rate at which both pipes fill the pool is 0.075 of the pool per hour.

We can now use this rate to determine how long it will take to fill the pool by dividing the total work by the rate.

Since the total work is equal to 1 (the full pool), we can express the formula for time as:

T = Work ÷ Rate = 1 ÷ 0.075 = 13.33 hours (rounded to two decimal places).

Therefore, it will take approximately 13.33 hours to fill the pool.

To know more about work click here:

https://brainly.com/question/18094932

#SPJ11

Answer:

51

Step-by-step explanation:

Answer: Your answer will be 51.

Hope this helps good luck!

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Maths.

Cost of each ticket = £54

Glen purchased tickets= 4

total cost of tickets alone = 54*4 =£216

now calculation of the 5% tax of the tickets,

5/100 * 216 = £ 10.8

hence the total amount Glen has to pay is

=> 216+10.8 = £226.8

Answer:

51.30

Step-by-step explanation:

5% of 54$ is 51.30

Answer:

y = - 2x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = - 2x + 17 ← equation of line

The point of intersection on the graph would represent the solution to the problem, which in this case is the value of j = 70/3.

Since Shannon's age is 70 years more than John's, we can represent their ages as follows:

Let j represent John's age.

Shannon's age is 70 years more than John's, so Shannon's age can be represented as j + 70.

According to the problem, Shannon is 4 times as old as John. Therefore, we have the equation:

j + 70 = 4j.

To find the solution to this problem, we can solve the equation by isolating the variable j:

4j - j = 70,

3j = 70,

j = 70/3.

The graph that represents this system of equations would have the x-axis representing John's age (j) and the y-axis representing Shannon's age (j + 70). The point of intersection on the graph would represent the solution to the problem, which in this case is the value of j = 70/3.


To learn more about graph click here: brainly.com/question/11950136

#SPJ11

Answer:

( x - 7)^2=1

Step-by-step explanation:

Answer:

350mlliliters = 0.35liters

9liters = 9000milliliters

Answer:

I think c is the right answer

Answer:

Answer: C. 64/99

I think the decimal given is recurring, 0.6464…

let for ones, be x

\(100x = 64.6464 - - - (i) \\ x = 0.6464 - - - (ii)\)

subtract (ii) from (i):

\(99x = 64 \\ \\ { \boxed{ \boxed{x = \frac{64}{99} }}}\)

Answer:

6n-1

Step-by-step explanation:

Re-arrange
-(1 - 6n)
-(-6n + 1)

Distrubute
-(-6n -1)
6n - 1

Jon is filling the tub at a rate of 0.5 ft3/min is 0.3125 ft/min.

If we take a look at a rectangular bathtub, the volume of the bathtub can be expressed as:

Volume (V) = length × breadth × height

where;

the base = length × breadth = 16ft²

∴ the volume of the rectangular bathtub = 16h ---  (1)

Using differentiation to differentiate 16h with respect to t implicitly, then:

dV/ dT = 16 dH /dT

When the rate of rising of the volume is 0.5 ft³/min

Then:

0.5 = 16 dH /dT

dH /dT = 1 / 16 * 0.5

dH /dT = 0.3125.

Jon is filling the tub at a rate of 0.5 ft3/min is 0.3125 ft/min.

Learn more about differentiation here: https://brainly.com/question/25081524

#SPJ4

The length of the side AC or the height of the smaller equilateral triangle is 3√2 inches.

The length of the side AC is equal to the height of the smaller equilateral triangle.

We know that in an equilateral triangle, all sides are equal, and all angles are 60 degrees.

Let's call the height of the smaller equilateral triangle h, and the length of one side of the smaller triangle x.

We can use the Pythagorean theorem to find the value of h:

(1/2)x^2 + h^2 = x^2

h^2 = x^2 - (1/2)x^2

h^2 = (1/2)x^2

h = sqrt((1/2)x^2)

Now, we also know that the side of the large equilateral triangle is 6 inches, so x = 6 inches.

Substituting this value into the equation for h, we get:

h = √((1/2)(6^2))

h = √(18)

h = 3√2 inches.

Therefore, the height of the smaller equilateral triangle is 3√2 inches.

Learn more about equilateral triangles at: https://brainly.com/question/30095631

#SPJ1

\((\stackrel{x_1}{-19}~,~\stackrel{y_1}{17})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{17}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-19)}) \implies y -17 = - 1 ( x +19) \\\\\\ y-17=-x-19\implies {\Large \begin{array}{llll} y=-x-2 \end{array}}\)

Answer:

y = -x - 2

Step-by-step explanation:

We are given that a line has a slope (m) of -1 and passes through (-19,17).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

As we are already given the slope of the line, we can plug it into the equation.

Replace m with -1.

y = -1x + b

This can be rewritten to:

y = -x + b

Now, we need to find b.

As the equation passes through (-19,17), we can use its values to help solve for b.

Substitute -19 as x and 17 as y.

17 = -(-19) + b

17 = 19 + b

Subtract 19 from both sides.

-2 = b

Substitute -2 as b into the equation.

y = -x - 2

When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

When the switch is closed, a current flows through the primary coil of the transformer, which creates a changing magnetic field. This changing magnetic field induces a voltage in the secondary coil of the transformer, which is connected to resistor R. The ratio of the number of turns in the secondary coil to the number of turns in the primary coil is given by the turns ratio, which is represented by n2/n1.
Since the potential difference across a resistor is given by Ohm's law (V = IR), the potential difference across resistor R is proportional to the current flowing through it. Therefore, when the potential difference across resistor R connected to the secondary coil of the transformer is n2 > n1, it means that the current flowing through the secondary coil is greater than the current flowing through the primary coil. This is because the voltage induced in the secondary coil is greater than the voltage applied to the primary coil due to the turns ratio of the transformer.
When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

To learn more about ratio, click here:

brainly.com/question/13419413

#SPJ11

Answer:

63.25°F − 2.2°F = 61.05°F

Step-by-step explanation:

Answer:

61 1/20 °F

Step-by-step explanation:

63 1/4 °F  -2 1/5 °F =61 1/20 °F

Answer:

Yes

Step-by-step explanation:

Step 1: Define

12x - 10x⁵ - 7 + 3x⁴

-10x⁵ + 3x⁴ + 12x - 7

Step 2: Rearrange both equations into standard form

-10x⁵ + 3x⁴ + 12x - 7

-10x⁵ + 3x⁴ + 12x - 7

We see both are equivalent.

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons

To solve this problem, we need to use the central limit theorem and the formula for the standard error of the mean:

Standard error of the mean = standard deviation / square root of sample size

In this case, the standard deviation is the square root of the variance, which is 7. Therefore, the standard error of the mean is:

Standard error of the mean = 7 / square root of 43 ≈ 1.061

Next, we need to calculate the z-score for a difference of 2.4 gallons:

z-score = (sample mean - population mean) / standard error of the mean
z-score = (101 - 101.6) / 1.061 ≈ -0.566

Note that we subtract the population mean from the sample mean because we want to know how much the sample mean differs from the population mean.

Finally, we can use a standard normal distribution table (or a calculator) to find the probability that a z-score is less than -0.566 or greater than 0.566 (since the distribution is symmetric). The probability of a z-sitcore less than -0.566 is approximately 0.2881, so the probability of a z-score greater than 0.566 is also approximately 0.2881. Therefore, the probability that the sample mean would differ from the population mean by greater than 2.4 gallons is:

Probability = 0.2881 + 0.2881 ≈ 0.5762

Rounding to four decimal places, the answer is 0.5762.

to learn more about probability click here -

https://brainly.com/question/13604758

#SPJ11

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.