19, 18, 23, 24, 31, 32, 16 In which stem does most of the data fall?

Using the Box model of division, the answer is attached below, and showing full results attached accordingly.

Suppose that we're talking about  p÷ q

It means, we divide p into q into equal parts. And each part is of value p/q

The box model of division can be defined as One of the tactics of division is the Box Method, commonly known as the Area Model.

We have been given the division as 377 ÷ 12.

The box model of division is a mental math approach that will improve number sense comprehension.

The Students solve the equation by subtracting multiples until they will get zero, or as near to zero as they can.

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The complete question is

How should this model be completed to represent 377 ÷ 12? complete the boxes attached below.

Answer:

27, 36

Step-by-step explanation:

We can write the first number as 9n because it is a multiple of 9, and the second number will be 9(n + 1). We can write:

9n + 9(n + 1) = 63 because they have a sum of 63.

9n + 9n + 9 = 63

18n + 9 = 63

18n = 54

n = 3

This means that the first number is 9 * 3 = 27 and the second is 9 * (3 + 1) = 9 * 4 = 36.

The required solution is ca is less than cb.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Suppose each side of the inequality a − b < 0 is multiplied by c.

According to given question we have

a.  If c < 0

Each side of the inequality a − b < 0 is multiplied by c.

=c(a-b)<0

=ca-cb<0

=ca<cb

It should be clear that  number that ca is less than cb.

Therefore, the required solution is ca is less than cb.

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Step-by-step explanation:

the solution of such a system of inequalities with 2 variables is the joined area above both lines (that are the bottom delimiters of both inequalities).

these lines are just the equations instead of the inequalities.

we have the lines

y = 4x - 3

y = -2x + 3

when going from left to right (x goes from -infinity to +infinity), the line y = -2x + 3 is first above the other line.

we know this, because the y-intercept (+3 vs. -3) is above, and the slope (-2 vs. 4) makes the line going downward from high above on the left.

at the intersection point between the 2 lines this changes, and we have to stay above y = 4x - 3.

so, we need the intersection point :

4x - 3 = -2x + 3

6x = 6

x = 1

y = 4x - 3 = 4×1 - 3 = 4 - 3 = 1

so, the solution is

y >= -2x + 3 -infinity < x <= 1 or simply x <= 1

y > 4x - 3 1 < x < +infinity or simply x > 1

it is important to maintain the original inequality type (<, >, <=, >=).

the intersection point is included, because of the ">=" sign in the second inequality.

The required solution for the coordinate and the slope of the line, 1. missing coordinate is 2. Slope of the line 9x + 2y = -7 is m = -9/2

Here,
1.
Standard equation of the line,
y = mx + c
From the given, we have m = -5 and a point (5,- 7)
Now,

-7 = -5 * 5 + c
c = -7 + 25
c = 18
equation become
y = -5x + 18
Now putting y = 3
3 = -5x + 18
-15 = -5x
x = 3
So the required missing coordinate is (3, 3)

2.
Slope of equation 9x + 2y = -7
9x + 2y = -7
y = -9/2 -7/2

The coefficient of x is the slope of the equation. So,
m = --9/2

Thus, the required solution for the following problem of the line,
1. missing coordinate is
2. Slope of the line 9x + 2y = -7 is m = -9/2.

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Answer:

x = 9

Step-by-step explanation:

 [tex]x- 15 = -6\\\\[/tex]

Add 15 to both sides to isolate the x.

[tex]x -15 +15 = -6 +15\\x = 9[/tex]

Answer:

X=9

Step-by-step explanation:

You must add 15 to both sides of the equal sign to cancel out the (-15). You add -6+15 which equals 9.

Answer:

11/20

Step-by-step explanation:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Answer:

Step-by-step explanation:

The ratio of soccer balls to basketball is 12 to 15 If there are 48 soccer balls how many basketball are there

we can solve with a proportion

12 : 15 = 48 : x

x = 15 * 48 : 12

x = 60

Answer:D

Step-by-step explanation:

Enclosed x-1 moves the parabola to the right once, and the excluded -2 puts the parabola down 2.

0.15% is the probability  value between 0 and 1 inclusive.

In statistics, what does a probability mean?

the fractional conversion of a percentage = % value /100

therefore the probability is 15/100 = 0.15%

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Answer:

216 degrees

Step-by-step explanation:

2016/360= 5.6   drop the 5

  .6 x 360 = 216 °

Answer:

2/3s of 30

Step-by-step explanation:

2/3s of 30 is 10 and 1/5 of 25 is 5 and 10 is in fact larger than 5

Answer:

[tex]y=\frac{2}{7} x-\frac{1}{7}[/tex]

Step-by-step explanation:

y=mx+b where y and x are variables, m is the slope and b is the y-int.

[tex]y-1=\frac{2}{7} (x-4)\\y=\frac{2}{7} x-\frac{2}{7} -1\\y=\frac{2}{7} x-\frac{1}{7}[/tex]

Hope that helps.

Answer:

[tex]6^{7/2}[/tex]

Step-by-step explanation:

[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]

Answer:

5 Servings

Step-by-step explanation:

The equations which are in standard form include the following:

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

This ultimately implies that, the variables in all linear equations share a direct relationship and as such they are directly proportional to one another.

In Mathematics, the standard form of a linear equation is given by the following:

Ax + By = C.

In this context, we can reasonably infer and logically deduce that the equations which are in standard form include the following:

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If [tex]f(x)=0[/tex] at [tex]x=-11[/tex] and [tex]x=-13[/tex], then we can factorize

[tex]f(x) = ax^2 + bx + c = a (x + 11) (x + 13)[/tex]

Now,

[tex]f(x-9) = a((x-9)+11) ((x-9)+13) = a(x+2)(x+4)[/tex]

which means the zeros of [tex]f(x-9)[/tex] are [tex]x=-2[/tex] and [tex]x=-4[/tex].

Answer:

  [tex]a_n=a_{n-1}+4\qquad a_1=4[/tex]

Step-by-step explanation:

You want the recursive formula that matches the sequence 4, 8, 12, 16, 20.

Your problem statement tells you the recursive formula is ...

  [tex]a_n=a_{n-1}+d\qquad a_1=\text{first term}[/tex]

where 'd' is the common difference.

This means you only need to identify the perimeter associated with n=1 (first term), and the difference between perimeters for adjacent values of n.

The table tells you ...

  [tex]a_1=4\\d=8-4=4[/tex]

Filling these values into the given formula, you have the recursive formula ...

  [tex]\boxed{a_n=a_{n-1}+4\qquad a_1=4}[/tex]

Integrate by parts with

[tex]u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi[/tex]

[tex]dv = d\phi \implies v = \phi[/tex]

to evaluate the integral in the definition of [tex]f[/tex].

[tex]\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16[/tex]

Now if [tex]\phi=1[/tex], we have

[tex]f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}[/tex]

and so

[tex]\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}[/tex]

It follows that

[tex]\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}[/tex]

Answer: X = 2

Step-by-step explanation:

 2(2)+7 = 11 --> 9<11<15

Hope this helps you :)

On observing graph, we can conclude that the value of y when x = 7 is 5.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions may be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

An example of a rule is a function, which yields one output from a single input. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.

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The ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

Given data:

Claire's score = 7 * Ali's score

Ben's score = 0.5 * Claire's score

let Ali's score = x

let Ben's score = y

let Claire's score = z

z = 7 * x = 7x

z = 7x

y = 0.5 * z = 1/2 * z = z / 2

plugging the value of z gives

y = 7x / 2

writing the ratios in terms of x gives

Ali : Ben : Claire

x : y : z

x : 7x/2 : 7x

reducing the terms by dividing through by x

1 : 7/2 : 7

OR

1 : 3.5 : 7

clearing the fraction gives

2 : 7 : 14

Therefore, the ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

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The smallest interior angle of a triangle, produces largest exterior angle. Hence, measurement of the exterior largest angle is 359.47°

An angle is the figure formed by the two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by the two rays lie in the plane that contains the rays. Angles are also formed by the intersection of the two planes. These are called the dihedral angles. Two intersecting curves may also define an angle, which is the angle of rays lying tangent to the respective curves at their point of intersection.

Angle is also used to designate the measure of an angle or of rotation. This measure is the ratio of length of a circular arc to its radius. In the case of a geometric angle, arc is centered at the vertex and delimited by the sides. In case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

We know that sum of all the angles of a triangle is equal to 180°

s°+(1/7s+3)°+(1/7s+30)°= 180°

[tex]s+\frac{22}{7}s+\frac{22}{7}s[/tex]= 180°

[tex]\frac{51}{7} s[/tex]=180°

s= 24.7°

both the similar angles =0.53°

Therefore, the largest external angle is:

360°-0.53° = 359.47°

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Answer:

18

Step-by-step explanation:

6(2) - (-6)

12 +6

18

Answer:

Eduardo will get $4.03

Step-by-step explanation:

To solve this problem, first add 4.99 and 0.98 together, remember to line up the decimals

4.99

+ 0.98

-------------

5.97

Now take 5.97 from 10.00

first you can't take 7 from 0 so you take 1 from the tens place making 10.00 into 9.9 10, now you can take 7 from 10 which equals 3. Into the tenths place you can take 9 from 9 which is a 0. Lastly 9 - 5 is 4, adding the decimal back you get

10.00

- 05.97

--------------

$ 4.03

The amount of the check with 6 percent of the amount invested was (2) $27.00.

So, 6% of $450:
Then,

Therefore, the amount of the check with 6 percent of the amount invested was (2) $27.00.

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The range of m is 4 < m ≤ 6

The interval given is

3m - 3 ≤ m + 9 < 5 + 2m

So we have,

Here we have to find the range of m by separating two inequalities. Thus we get,

3m - 3≤ m + 9  and m + 9 < 5 + 2m

3m - m ≤ 9 + 3 and 2m - m > 9 - 5

2m ≤12   and m > 4

m ≤6 and m>4

So we get the range of m,

4 < m ≤ 6

Therefore we get the range of m as, 4 < m ≤ 6.

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The answer is about 17 meters

We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.

The Pythagorean theorem relates these distances this way:

 b² + d² = (d+e)²

Expanding the square on the right, we can simplify the expression to find b.

 b² = (d²+2de +e²) -d²

 b² = e(2d +e)

 b = √(e(2d +e))

Using lengths in meters, we can fill this in to calculate b.

 b = √(.06(2·2500 +.06)) = √300.0036

 b ≈ 17.32 . . . . meters

We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.

The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.

If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.

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Answer:

[tex]\frac{1}{3}(x-15)[/tex]

Step-by-step explanation:

Width of the box is 8 inches and length is 11 inches.

Height of the box is 9 inches given

Length of the box is 3 inches more than the width.

Let the width be x then length = x+3

Volume of the box is = 792 (given)

Volume is the amount of space occupied by the any three dimensional figure. To find the volume of a box we simply multiply length width and height

Volume = length * width * height

792 = (x+3)*x*9

[tex](x^2+3x)*9=792\\9x^2+27x=792\\9x^2+27x-792=0[/tex]

Divide the above equation by 9 as 9 is the common factor

we get

[tex]x^2+3x-88=0[/tex]

now solve this equation by splitting the middle term we get,

[tex]x^2+11x-8x-88=0\\x(x+11)-8(x+11)=0\\(x+11)(x-8)=0\\x=-11,8[/tex]

width is always positive so we consider x = 8

Length = x+3 = 8+3 =11

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