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also, 20 POINTS

Answer:

.2 repeating

Step-by-step explanation:

if you are allowed to use calculators, then do so, if not, you're going to have to do a lot of division

Answer:

0.22222222222222222.....

The answer is 0.2 and 2 is repeating

Step-by-step explanation:

This is the answer because:

1) If you divide 2 and 9, you will keep on getting 0.2222222 as your answer; therefore 0.2 is the repeating decimal.

Hope this helps!

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Answer:

52.4

Step-by-step explanation:

% change = 100 x final initial/initial

The set of ordered pairs that represents a linear function is given as follows:

(−1, 3), (0, 5), (1, 7), (2, 9), (3, 11).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

What defines a linear function is a constant slope, meaning that when x is increased by one, y must be increased/decreased by a constant amount.

Hence the correct option is the first option, as when x is increased by one, y is increased by two.

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Answer:

y = 3/8

Step-by-step explanation:

Do 3/4 - 3/8 to get your answer.

3/4 - 3/8

6/8 - 3/8 = 3/8

So, y = 3/8

Answer:

3/8

Step-by-step explanation:

\(y + \frac{3}{8} = \frac{3}{4} \)

\( = > y = \frac{3}{4} - \frac{3}{8} \)

\( = > y = \frac{6 - 3}{8} \)

\( = > y = \frac{3}{8} (ans)\)

The true correct statements about the box-and-whiskers plot are:

In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.

Median of a data is the value at the point where the vertical line divides the rectangular box.

Median for Group A is between: 45 and 50

Median time for Group B is: 40.

Therefore, the three statements are:

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Answer:

The line is horizontal and the slope is 0.

Step-by-step explanation:

Any line that is horizontal has a slope of 0.

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

The other name of plane V is plane RST which is the correct answer would be option (D).

A Plane is defined as a flat surface without borders or thickness is referred to as a plane in geometry. In other words, a plane is a flat surface that exists only in two dimensions and can never finish there.

Three points make up a plane. Plane V may also be known as QRS.

There are four points on plane V.

The points are:

Point Q, Point R, Point S, Point T

The three points are all on plane V, as indicated by the statement above, thus any one of them can be considered as plane V.

A plane is a 2-dimensional space that may be defined by naming any three points that are located within it,

So, the possible name of plane V is plane RST.

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Answer:

1) The estimate would be about $24

2) The exact cost would be $27.25

3) They should receive $2.75

Hope this helps :)

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

The value of the expression -(7n + 2.1) when simplified is -7n - 2.1

From the question, we have the following parameters that can be used in our computation:

-(7n + 2.1)

The above is not an equation

Rather, it is an expression

This means that it cannot be solved, but it can be simplified

Using the above as a guide, we have the following:

-(7n + 2.1)

Open the bracket

-7n - 2.1

Hence, the expression -(7n + 2.1) when simplified is -7n - 2.1

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Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

Answer:

39 3/8

Step-by-step explanation:

Answer:

KL = 7, so B is the correct answer.

The correct way of rewriting the expression 18x¹y³ - 36x³y⁴ is 9x¹y³(2 - 4y).

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression 18x¹y³ - 36x³y⁴ in two variables x and y.

Now, Between these two terms the GCF of the constants 18 and 36 is 18

and the GCF between the variables is x¹y³, So the resultant GCF is 18x¹y³.

Therefore,

18x¹y³ - 36x³y⁴.

= 18x¹y³(1 - 2x²y¹) Or 9x¹y³(2 - 4y).

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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There are 7 pounds in 112 ounces

There is 1 pound in 16 ounces

So, the number of pounds in 112 ounces is

Pounds = 116 ounces/16 ounces

Remove the unit

Pounds = 112/16

Evaluate the quotient

Pounds = 7

Hence, there are 7 pounds in 112 ounces

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Answer:D

Step-by-step explanation:

Amaro would have the most.

The correct answer is:

A. Real, irrational

Given is a number √7, we need to identify the category of the number.

The number √7 is a real number because it exists on the number line.

We see that the imaginary numbers are those which can not be drawn on number line.

It is also an irrational number because it cannot be expressed as a ratio of two integers.

The number √7 cannot be written as a fraction or a terminating or repeating decimal.

It is a non-repeating, non-terminating decimal that goes on forever without a pattern.

Hence, it is considered irrational.

Therefore, the correct answer is:

A. Real, irrational

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Lucy scored 5000 times her first score.

To find how many times as many points is Lucy's last score compared to the first score, we must see how much is the ratio created when dividing the final score by the first score.

\(\frac{3*10^7}{6x10^3}\)

This is the property: \(\frac{a^m}{a^n}=a^{m-n}\)

Hence, \(\frac{3}{6}*\frac{10^7}{10^3} =\frac{3}{6}*10^4\)

\(\frac{3/3}{6/3}*10^4\\ \\\frac{1}{2} *10^4\\\\ 0.5*10^4\)

\(=5000\)

Lucy scored 5000 times her first score.

Answer:

5 × 10³ = 5000

Step-by-step explanation:

Standard Form (also called "Scientific notation") is written in the form of

\(a \times 10^n\) , where \(1\leq a < 10\)  and n is any positive or negative whole number.

Given:

To calculate how many times as many points is Lucy's last score as her first score, divide her latest score by her first score:

\(\implies \dfrac{3 \times 10^7}{6 \times 10^3}\)

\(\implies \dfrac{3}{6} \times \dfrac{10^7}{10^3}\)

\(\implies 0.5 \times \dfrac{10^7}{10^3}\)

\(\textsf{Apply the quotient rule of exponents} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies 0.5 \times 10^{7-3}\)

\(\implies 0.5 \times 10^{4}\)

In standard form:

\(\implies 5 \times 10^{3}\)

Therefore:

\(\begin{aligned} \implies 5 \times 10^{3} & =5 \times 10 \times 10 \times 10\\ & =5 \times 1000 \\& =5000 \end{aligned}\)

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The genotype ratio is:  1   TT : 1   Tt : 0  tt

The phenotype ratio is :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Genotypic ratio is the ratio between the genetic makeup among the offspring population.

On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.

The given test cross is between a homozygous tall parent and a heterozygous tall parent.

Using a Punnett square,

The result will be as shown below.

                     T                   t

          T        TT                 Tt

           T       TT                 Tt

Genotype :  1   TT : 1   Tt : 0  tt

Phenotype :  4   Tall :   0   Short

100 percent of the offspring will be tall.

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Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

The answer is 14 for each child and 8 each senior.

Step-by-step explanation:

0 + 1c = $14 for one child ticket

:

Find s using the equation 3s + 1c = 38, replace c with 14

3s + 14 = 38

3s = 38 - 14

3s = 24

s = 24/3

s = $8 for each senior

:

:

You can check these solutions using the 2n equation