Mary, Keith, and David sent a total of 149 text messages over their cell phones during the weekend. Keith sent 4 times as many messages as David. David sent 5 fewer messages than Mary. How many messages did they each send?

The Answer is:

an = -15 + 9(n - 1)

The total laps your friend runs is 3.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A proper fraction is a fraction where the numerator is less than the denominator. A mixed fraction is a fraction that is made up of a whole number and a proper fraction.

The first step is to determine the total miles you run

Total miles run  = length of the side walk x total number of laps

9/10 x (3 + 2)

9/10 x 5 = 45 / 10 = 4.5 miles

The second step is to determine the total number of laps she runs:

4.5 miles / 1 1/2 miles

4.5 / 1.5 = 3 laps

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Answer:0.75

Step-by-step explanation:

trust me

The completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

In the question, we are asked to give the relative frequency distribution for the given frequency distribution.

Relative frequency distribution is the ratio of the assigned frequency to the total frequency.

The given frequency distribution table is:

body temperature (in Fahrenheit) Frequency

97.3 - 97.6 ---------------------------------- 14

97.7 - 98.0 ---------------------------------- 12

98.1 - 98.4 ----------------------------------- 7

98.5 - 98.8 ----------------------------------- 3

The total frequency can be calculated by adding all the frequencies.

Thus, the total frequency = 14 + 12 + 7 + 3 = 36.

Now, the relative frequency table, can be shown as follows:

body temperature (in Fahrenheit) ------ Percent

97.3 - 97.6 ----------------------------- 14/36 = 0.389 = 38.9%

97.7 - 98.0 ----------------------------- 12/36 = 0.333 = 33.3%

98.1 - 98.4 ------------------------------ 7/36 = 0.195 = 19.5%

98.5 - 98.8 ------------------------------ 3/36 = 0.083 = 8.3%.

Thus, the completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

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For the complete question, check the attachment.

Answer:

120 x 10^-4

Step-by-step explanation:Multiplying 1.2  by  10^2 and multiplying 10^-2  by  10^-2.Gives 120 x 10^-4  So, the mass of an average grain of rock salt is 120 x 10^-4  .

Answer:

Multiplying 1.2 by 10^2 and multiplying 10^-2 by 10^-2 gives 120 x 10^-4. So, the mass of an average grain of rock salt is 120 x 10^-4.

Step-by-step explanation:

Edmentum answer

hope this helps :)

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

C

Step-by-step explanation:

Rbrberbrb

Answer: Its c

=- 1 1/4

Answer:

E only

Step-by-step explanation:

The factor of f(x) is (x + 9) and (x - 7+i).

Given that,

polynomial function f(x) has roots -9 and 7 - i.

So we can write this as

x = -9 and x = 7 - i

implies that

x + 9 = 0 and x -7 + i = 0

Therefore the factors of f(x) is (x+9) and (x-7+i).

A factor is a number that divides another number, leaving no remainder.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Polynomial functions are expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants.

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A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

0 < b < 1

Step-by-step explanation:

I did the math and double checked on wolfram Alfa and it’s right hope this helps

Answer:

\(b < 1\)

Step-by-step explanation:

Step 1:  Add 2/b to both sides

\(7 - \frac{2}{b} + \frac{2}{b} < \frac{5}{b} + \frac{2}{b}\)

\(7 < \frac{7}{b}\)

Step 2:  Multiply both sides by b/7

\(7 * \frac{b}{7} < \frac{7}{b}* \frac{b}{7}\)

\(b < 1\)

Answer:  \(b < 1\)

Answer:

92 feet.

Step-by-step explanation:

\((\sin^2 \theta + \cos^2 \theta)(\sin \theta + \cos \theta)\\\\=1 \cdot(\sin \theta + \cos \theta)\\\\=\sin \theta + \cos \theta\)

Answer:

D: cos^3(O)

Step-by-step explanation:

The graph represents the function f(x)=√x-2+3 is shown in :

-Graph 1

Image attached.

Pick some values for x, and use them to find y.

Let us make a table for the given function.

x 2 3 6    

y 3 4 5

Then we plot the points and connect with a curve.

Image 1.

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Answer:

A

Step-by-step explanation:

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Given,

The coordinates of the point on the circle is (-4, -2).

The coordinates of the center of the circle is (-8, -10).

Reuired

The length of the center of the circle.

By using the distance formula, the radius of the circle can be calculated.

The distance formula is,

Substituting the value of the coordinates of the points,

Hence,

Answer:

to find the average rate of change for this function, you have to examine the formula of the average rate of change: (y2-y1)/(x2-x1).  

having that said, you can now plug in the values by solving the equation for x= -4 and x= 2:  

g(-4) = 50

g(2) = 14

so, average rate of change becomes: (14-50)/(2-(-4)) = 36/6 = 6.  

hope that helps!

Step-by-step explanation:

brainliest?

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics.

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

With this in mind, the negative values on the number line would be on the left side, and the positive values are on the right, hence, Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

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Answer:

To mark 1 1/4 and -1 1/4 on the number line, Nancy will need 4 parts each between 1 and 2 and between -1 and -2 on the number line.

Step-by-step explanation: PLATO

Answer:

C is the answer, please choose the letter C that's the answer