12. A summer soccer camp ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. If they payed $1,046 total for the purchase, how many of each item was ordered?

Answer: TRUE

Step-by-step explanation:

Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.

Answer: 129

Step-by-step explanation:

200-{(7x3) +(10x5)}=

200-((7*3)+(10*5))=

200-(21+50)=

200-71=129

The length of UO in the rhombus is 24 inches

The given parameters are

Area = 480 square inches

Diagonal RT = 20 inches

The area of the rhombus is calculated as

Area = RT * US/2

Where UO = US/2

So, we have

Area = RT * UO

So, we have

20 * UO = 480

Divide both sides by 20

UO = 24

Hence, the length of UO is 24 inches

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Answer: 2605 more on weekdays

Step-by-step explanation:

14239 - 11634 = 2605

Based on the translation, your end position is (- 5, 0)

The given parameters are

Start position = (5, -2)

Navigation = You move up 2 units and left 10 units.

This can be represented as

(x, y) = (x - 10, y + 2)

So, we have:

End position = (5 - 10, -2 + 2)

Evaluate

End position = (- 5, 0)

Hence, your end position is (- 5, 0)

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The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.

It follows from the task content that the line given is; y=1/4x+2.

It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.

Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.

Hence, m × (1/4) = -1

m = -4.

Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.

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Answer:

[tex]f^{-1}x=\frac{2x}{x-1}[/tex]

Answer: 8/15

Step-by-step explanation:

2/5 x 4/3 (fraction rule)

2 x 4 / 5 x 3

2 x 4 = 8

8 / 5 x 3

5 x 3 = 15

= 8/15

The equation of the parabolic arc that accomplishes this task is:

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the arc has these following characteristics:

The road under the arc is 20 feet wide with a 6-foot sidewalk on both sides of the road, hence it's total length is of 20 + 2 x 6 = 32 feet, and the peak of the arc will be at h = 16.

Hence:

y = a(x - 16)² + k.

The height is of 0 at x = 0 and x = 32, hence:

0 = 256a + k.

a = -k/256

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

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Answer:

-2

Step-by-step explanation:

Let, the needed number be x;

x-19=-21

x=-21+19

x=-2

Answer:

a) Mean

b) Median

c) Mode

Step-by-step explanation:

a) The data set has no outliers, therefore taking the average (mean) would be the best.

b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.

c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.

Answer:

y = x²+2x-3

Step-by-step explanation:

y = a(x-p)(x-q)

p = 1

q = -3

a = 1

y = 1(x-1)(x-(-3))

y = (x-1)(x+3)

y = x²+2x-3

The value of the given function when x = -2 is; y = 1

We are given a linear graph as seen in the given image. Now, in graphs like these, there are input values which are x-values while there are also output values which are values on the y-axis.

Now, looking at the graph, we can see that;

At x = 5, y = -6

At x = 4, y = -5

At x = 3, y = -4

At x = 2, y = -3

At x = 1, y = -2

At x = 0, y = -1

At x = -1, y = 0

At x = -2, y = 1

Thus, we can conclude that the value of the given function when x = -2 is, y = 1

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Answer:

-1/10

Step-by-step explanation:

1/2-6/10

5/10-6/10

= -1/10

Answer:38

Step-by-step explanation:

5DBE16-9AF416 using 2’s complement is -2635716 octal.

We need to compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal.

When two's supplement is utilized to address negative numbers, the main piece (MSB) is used to show the indication of the number. A 1 in the MSB position shows a negative number, and a 0 in the MSB position demonstrates a positive number. In two's supplement, negative numbers are addressed by the converse of the positive number in addition to 1.

To find the backwards of a number, every digit is just upset - 0 changes to 1, and 1 changes to 0. In this way, the converse of 5DBE16 is A2416. One is added to the opposite to find the two's supplements giving us A2417.

2's supplement of a number=the numbers supplement+1

5DBE16-9AF416=464416-9AF416=-54AF416+1=-54AF416

The two's supplement of a number can be determined by deducting the number from 2^n, where n is the number of pieces used to address the number. Along these lines, for this situation, we would take away 5DBE16 from 2^32, which gives us 464416.

Since the 2's complement of a number is equivalent to the negative, we can say that 5DBE16-9AF416=-54AF416.

To change over a two's supplement number to octal, we can involve a similar technique as we would use to switch a paired number over completely to the total. We bunch the pieces into three sets, beginning from the right, and convert each gathering into an octal digit.

In this way, the 2's supplements of 5DBE16-9AF416 would be composed as continues in octal 464416-9AF416=-2635716 octal

Therefore, 5DBE16-9AF416 using 2’s complement is -2635716 octal.

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Answer:

a

Step-by-step explanation:

answer:

kids that play basketball  are taller than kids that play baseball

Step-by-step explanation:

as we see the average height of baseball players ( the majority)  is 68 inches and 70 while basketball is 70 to 74

hope this helped have a good day guv'nor :D

Answer:

3500

Step-by-step explanation:

An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.

Hope this helps!

Answer:

-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.

Step-by-step explanation:

= 4*3 - 15

= 12 - 15

= -3

Answer: 1. D=(7, 4)

2. D=(-2, -2)

3. D=(6, -4)

Step-by-step explanation:

1. point B goes to point C by moving right 6 units and moving down 2 units.

point A goes to point D by moving right 6 units and moving down 2 units.

A=(1, 6)

D=(1+6, 6-2)

D=(7, 4)

2. point B goes to point C by moving left 4 units and moving down 6 units.

point A goes to point D by moving left 4 units and moving down 6 units.

A=(2, 4)

D=(2-4, 4-6)

D=(-2, -2)

3. point B goes to point C by moving right 8 units and moving down 2 units.

point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)

D=(-2+8, -2-2)

D=(6, -4)

20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  [tex](100,000*x)=200000000[/tex]

[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

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Answer:

55°

Step-by-step explanation:

m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles

We can rewrite this as
m∠A + m∠B = m∠D

Given m∠A = (2x)°  , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,

2x + (x + 41.5) = 124

2x + x + 41.5 = 124

3x + 41.5 = 124

3x = 124 - 41.5 = 82.5

x = 82.5/3 = 27.5

But m∠A = (2x) = 2 x 27.5 = 55°

Answer:

A. 0

Step-by-step explanation:

| 1 4 4  |

| 5 2 2 |

| 1 5 5  |

a1 = | b2 b3 | = | 2 2 |

      |c2  c3  |    | 5 5 |

a2 = | b1 b3 | = | 5 2 |

       | c1 c3  |    | 1 5 |

a3 = | b1 b2 | = | 5 2 |

       | c1  c2 |    | 1 5 |

a1 - a2 + a3

    | 2 2 |           | 5 2 |            | 5 2 |

(1)  | 5 5 |  - (4)  | 1 5 |     + (4) | 1 5 |

1 [(2)(5) - (2)(5)] - 4 [(5)(5) - (2)(1)] + 4[ (5)(5) - (2)(1)]

1 [10 - 10] - 4 [25 - 2] + 4 [25 - 2]

1 [0] - 4 [23] + 4 [23]

- 92 + 92 = 0

I hope this helps!

Answer:

Step-by-step explanation:

8 x 4 = 32
8 + 8 + 8 + 8 = 32

32 ÷ 4 = 8

The percentage decrease is 43.75%

Initial volume = 3.2 millimeters

After experiment volume = 1.8 millimeters

Reduction = 3.2 - 1.8 = 1.4 millimeters

Therefore the percentage decrease will be:

= Reduction/Initial value × 100

= 1.4/3.2 × 100

= 43.75%

Therefore, the percentage decrease is 43.75%

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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.

Answer:

Your axis will be _8 and make straight lines to (4.-4)

Answer:

31 15/22 acres

Step-by-step explanation:

2/11=4/22

1/2=11/22

=15/22

37-6=31

31+15/22=31 15/22