A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males and 25% of all females are children. She writes the expression 0.25n + 61 to represent the number of children who enter the mall. Is the manager correct? Why or why not?
The manager (blank, choose is or is not) correct because the original expression 0.25(n + 244) (blank, choose is or is not) equivalent to the manager’s expression, 0.25n + 61.

Answer: 34 21/64

Step-by-step explanation: Multiply all the sides to get the Volume.

3 1/4 x 3 1/4 x 3 1/4 = 34 21/64

Answer:

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Two copies of one tenth translates as:

Answer:

Two copies of 1/10 = 1/5

Step-by-step explanation:

Given statement,

→ two copies of one tenth.

Forming the expression,

→ 2 × (1/10)

Let's simplify the expression,

→ 2 × (1/10)

→ (2 × 1)/10

→ 2/10

→ 1/5

Hence, the answer is 1/5.

Answer: The two numbers are $x = 5$ and $y = 7.5$.

Step-by-step explanation:

Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:

$$2y = 3x + 15$$

$$\frac{1}{5}x + \frac{1}{9}y = 10$$

We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get

$$10y = 15x + 75$$

$$9x + y = 90$$

Subtracting these equations, we get

$$8y - 9x = 15$$

Multiplying this equation by 8, we get

$$64y - 72x = 120$$

Adding this equation to 5 times the first equation, we get

$$69y - 72x = 120 + 75$$

$$69y - 72x = 195$$

Dividing both sides by 3, we get

$$23y - 24x = 65$$

Subtracting this equation from 4 times the second equation, we get

$$96y - 36x = 360 - 260$$

$$96y - 36x = 100$$

Dividing both sides by 60, we get

$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$

Substituting the expression for $y$ from the first equation, we get

$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$

This simplifies to

$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$

Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.

Answer:

x= -4

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

i hope this helped you xx

Answer:

31.5

Step-by-step explanation:

Rectangle 1 :

b*h = 21

Triangle :

a= 1/2 b*h

3*7= 21 /2=10.5

Add both 10.5 + 21 =

31.5

Answer:

one million

Step-by-step explanation:

a six digit passcode has one million possible combinations instead of 10,000.

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

Answer:

11.1 and 38.9

Step-by-step explanation:

16x + 18 (1-x) = 16.89

2x = 1.11

x = 0.222

0.222 x 50 = 11.1

50-11.1 = 38.9

Answer: the answer for #16 is 216

Step-by-step explanation:

1. 75*2=150

2. 33*2=66

3. 150+66=216

Step-by-step explanation:

3x8 is your answer

hopes this helps ^^

Answer:

a = 12

Step-by-step explanation:

Formula:

a² + b² = c²

Given:

b = 9

c = 15

Finding a:

a² + b² = c²

a² = c² - b²

a² = 15² - 9²

a² = 225 - 81

a² = 144

[tex]\sqrt{a^2} =\sqrt{144}[/tex]

a = 12

Answer:

12

Step-by-step explanation:

To solve this, use the pythagreons theorm:

a^2+b^2=c^2

A and B are the side lengths, while is the hypotenuse, which in this case is 15 meters.

So lets plug in our values and solve for the missing length:

9^2+b^2=15^2

Square all the values except for the unknown:

81+b^2=225

Subtract from both sides to get b alone:

b^2=144

Take the square root of both sides so b^2 becomes b:

b=12

So your answer is 12!

Hope this helps!

Answer:

7

Step-by-step explanation:

Given the class interval :

Number of Social

Interactions

35-42

43-50

51-58

59-66

67-74

75-82

83-90

91-98

99-106

107-114

The class width = 7

The class width is the range between each class intervals :

42 - 35 = 4

114 - 107 = 7

106 - 99 = 7

The class width of the given grouped

frequency distribution is; 7

We are given the class intervals as;

35 - 42

43 - 50

51 - 58

59 - 66

67 - 74

75 - 82

83 - 90

91 - 98

99 - 106

107 - 114

Now, the class width is defined as the difference between the upper boundary and the lower boundary of a class.

The class intervals seem to be the same all through and as such the class width is;

114 - 107 = 7

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Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

Answer:

the answer is A.

Step-by-step explanation:

hope this helps!!!

The science of statistics focuses on creating and researching strategies for gathering, analysing, interpreting, and presenting empirical data.

Research in statistics finds application in almost all scientific domains, and research concerns in the various scientific fields inspire the creation of new statistical methods and theories. Statistics is a very interdisciplinary field. Statisticians use a range of mathematical and computational techniques while creating new approaches and researching the theory that supports such methods. Uncertainty and variation are two key concepts in the study of statistics. In science, as well as more generally in life, there are numerous circumstances where the result is unknown. Sometimes the uncertainty is caused by the fact that the result is still up in the air. Probability is a mathematical language that is used to talk about uncertain events, and it is crucial to statistics. There are numerous causes of variance that can affect any measurement or data collection attempt. By this, we indicate that the result would probably alter if the same measurement was repeated. The goal of statisticians is to comprehend and, whenever feasible, manage the sources of variation.

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The value of y is 16 when x = 32 for equation y = (1/4)x divided by 2.

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It displays how the expressions on the left and right sides are equally related. We have LHS = RHS in any mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol, a statement is not an equation.

The given equation is

y = 1/4 x divided by 2

So,

y = ((1/4)x)/ 2

y = (2/4) × x

Put x = 32

y = 2/4 ×32

y = 2 × 8

y = 16

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The board can be rotated in 4 different ways (0, 90, 180, 270 degrees) and each of the four squares can be painted in 2 different ways (black or white). Since we can rotate the board, the order in which the squares are painted does not matter, so we must divide by the number of ways to rearrange the squares. So, there are (2^4) / 4 = 6 ways the board can be painted when we take rotations into account.

To calculate turnover, it is necessary to consider the departures and additions of people to the company in the period. Calculating turnover is quite simple: you need to add the number of admissions and the number of dismissals, then just divide by 2 and then divide by the total number of employees within your company.

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9514 1404 393

Answer:

  30

Step-by-step explanation:

The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.

  x° = 90° -60° = 30°

  x = 30

Answer:

its c

Step-by-step explanation:

Answer:

If the ml means miles than its 400

Step-by-step explanation:

Answer: 7x+10

Step-by-step explanation:

combine like terms

x+3x+x+2x+2+5+3

7x+10

Answer:

Step-by-step explanation:

Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

First: find the (x) and collect them, put them in the bracket (to ensure the + or -)

(x + 3x + x + 2x) + 2 + 5 + 3

=  7x + 2 + 5 + 3

Then we add up the numbers

= 7x + 10

This is the end result.

x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

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Answer: The probability of randomly selecting a student in sports is 65% or 65/100

Step-by-step explanation:

2 Answers:

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Explanation:

There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.

Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.

Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.

Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.

As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).