Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?

Answer:

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

Answer:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

Answer:

Hey there!

I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.

Hope this helps :)

Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

Answer:

[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]

Step-by-step explanation:

[tex]\displaystyle a=\frac{v^2 }{r}[/tex]

We need to rearrange and solve the formula for [tex]r[/tex].

Multiply both sides of the equation by [tex]r[/tex].

[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]

Simplify the equation.

[tex]ar=v^2[/tex]

Divide both sides of the equation by [tex]a[/tex].

[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]

Simplify the equation.

[tex]\displaystyle r =\frac{v^2 }{a}[/tex]

Answer:

a

Step-by-step explanation:

distributive property

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

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Explanation:

The general cosine template is

y = A*cos(B(t - C)) + D

where in this case

We only really need to worry about the B value. To get the period T, we do the following

T = 2pi/B

T = (2pi)/(pi/4)

T = 2pi * (4/pi)

T = 8

Note how the pi terms canceled. The period is 8 seconds, which is the length of one full cycle. This is the time it takes for the pendulum to do one full swing (eg: start at the right, swing to the left all the way, then swing back to the right again).

The result of 8 we got has nothing to do with the D = 8 value (this D value could be any other number and T = 8 would still be the case as long as B doesn't change of course).

Answer:

4/12, 5/12, 6/12, 7/12

Step-by-step explanation:

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

between 3/12 and 8/12

4/12, 5/12, 6/12, 7/12

you can simplify these if you wish

Hope that helped!!! k

Answer:

Baba

Step-by-step explanation:

Booey

Answer:

45° and 135°

Step-by-step explanation:

A linear pair of angles sum to 180°

let one angle be x , then the other is 3x ( 3 times the other ), thus

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

Thus the 2 angles are

x = 45° and 3x = 3 × 45° = 135°

The measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Two angles form a linear pair. The measure of one angle is three times the measure of the other.

As we know,

If two angles form a linear pair it means the angle made by the pair is 180 degrees

Let the two angles are x and y

x + y = 180

x = 3y  (one angle is three times the measure of the other)

Solving the two linear equations in two variable:

3y + y = 180

4y = 180

y = 180/4

y = 45 degrees

x = 3(45) = 135 degrees

Thus, the measure of two angles are 135 and 45 degrees if the two angles form a linear pair. The measure of one angle is three times the measure of the other.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer: b. X=-1/2

Step-by-step explanation:

2x-3+3=-1-3 and +3 cancel each other

2x=-1 both sides divided by 2

X=-1/2

Answer:

21 inches tall

Step-by-step explanation:

Let x represent the height of the kakapo.

Create an equation to represent this situation, and solve for x:

45 = 5x - 60

105 = 5x

21 = x

So, the kakapo is 21 inches tall.

Answer:

B= -3

Step-by-step explanation:

Move the terms that do not contain b to the right then solve. Hope this helps!

Answer:

[tex]\large \boxed{{b=-3}}[/tex]

Step-by-step explanation:

[tex]-11b +7=40[/tex]

Subtract 7 from both sides.

[tex]-11b +7-7=40-7[/tex]

[tex]-11b=33[/tex]

Divide both sides by -11.

[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]

[tex]b=-3[/tex]

Answer:

Carl can type 450 words in 5 minutes at that rate.

Step-by-step explanation:

Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)

if we multiply 90wpm by 5 Minutes, we get 450 words per minute

Answer:

one solution

Step-by-step explanation:

3(x-2)=22-x

Distribute

3x -6 = 22-x

Add x to each side

3x-6+x = 22-x+x

4x-6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

There is one solution

Answer:

It has only one solution

Step-by-step explanation:

[tex]3(x - 2) = 22 - x [/tex]

open the brackets:

[tex]3x - 6 = 22 - x[/tex]

collect like terms together:

[tex]3x + x = 22 + 6[/tex]

then solve:

[tex]4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

                           Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                           Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]

                   = [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]

Answer:

Standard Form: y = 0.0625x²-0.375x+2.5625    

Graphing Form: y = (1/16)(x-3)²+2    

Step-by-step explanation:

Answer:

B

Hope it helped you out

Tysm

Answer:

Rs 11250

Step By Step Explanation:

 Because by increasing rs 225 in sq .m . You have to increase 225*2=450 in amount

10800+450 = 11250

Answer From Gauth Math

Answer:

mathematics photography

Answer:

96.94%

Step-by-step explanation:

Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.

Answer:

96.94%

Step-by-step explanation:

Answer:

Forty-seven percent is the statistic and 31% is the parameter

Step-by-step explanation:

Various terms are used in mathematics when it comes to carrying out particular studies in statistics.

A) Parameter

A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.

B) Statistic

Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.

In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.

According to the definition of Parameter and Statistic that I explained above,

A) The Parameter is 31% . This is

because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.

B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.

Answer:

speed

1)the distance travelled by a body per unit time is known as speed.

2) speed is speed, or something how fast is going,

3) while velocity is speed how fast something is going in a specific direction.

average speed

1) average speed is the speed added up and divided by number of speed .

2)the average of all the instantaneous speed in a give time interval.

3) the average speed as the duration of the time interval approaches zero.

Answer:

4^2 + 6(5)-2^3

16+30-8

38

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

Answer:

Step-by-step explanation:

To find the percentage increase we use the formula

[tex]Percentage \: change = \frac{ change}{original \: quantity} \times 100[/tex]

To find the change subtract the smaller quantity from the bigger one

From the question

original price = $24,600

Current price = $ 25,338

Change = $25,338 - $ 24,600

Change = $ 738

So the percentage increase is

[tex] \frac{738}{24600} \times 100[/tex]

[tex] = \frac{3}{100} \times 100[/tex]

We have the final answer as

Hope this helps you

Answer:

Soccer you use the lease amount of balls and in tennis you use the most

Answer:

Step-by-step explanation:

The continuous compound formula is

[tex]y=Pe^{rt[/tex] where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

[tex]y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09[/tex]

which would probably round to just 3848 people.