The solution of the equation 3(p - 5) = 5p -27 is
A) p = 6
B) p = 5
C) p = 4
D) p = 3​

Answer: 69 and 420

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

All you have to do is simple multiply

Answer:

1080 copies in 12 minutes

Step-by-step explanation:

12 divided by 4 = 3

so, 360 x 3 = 1080

Answer:

x = - 2 , x = 4

Step-by-step explanation:

the x- intercepts are the points on the x- axis where the graph crosses

the graph crosses the x - axis at - 2 and 4 , then

x- intercepts are x = - 2 , x = 4

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

0.015

Step-by-step explanation:

He would have to take 15 and put the decimal point 4 places to the left of the number.

If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.

The standard form is 10,000 + 5000.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Fifteen thousandths

This can be written as,

= 15,000

It can be expanded as,

= 10,000 + 5,000

= 1 ten thousands + 5 thousands

Thus,

The standard form is 10,000 + 5000.

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Answer:

Step-by-step explanation:

Look at the position of the letters in your similarity statement.

1. Corresponding angles are in the same position.  PAT - JEN. P is in the first position, so is J.  They are corresponding.

2. Proportional sides can be done the same way.  PA is in the first and second position, so is JE, so PA and JE are corresponding sides.

Answer: 28

When you simplify it down, you get:

8 + 9 - 12 - 5 + 28.

When you combine all like terms, you get 28.

Also, proof is shown in the image below.

The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.

We have,

Expression:

2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)

Using the PEMDAS rule.

Remove the parenthesis.

2³ + 3² – 3 x 4 – 5² ÷ 5 + 28

Simplify the exponents such as 2³, 3², and 5².

8 + 9 - 3 x 4 - 25 ÷ 5 + 28

Simplify the multiplication such as 3 x 4.

8 + 9 - 12 - 25 ÷ 5 + 28

Simplify the division such as 25 ÷ 5.

8 + 9 - 12 - 5 + 28

Simplify the addition and subtraction.

28

Thus,

The value of the expression is 28.

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Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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Answer:

I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x

Step-by-step explanation:

hope this helps if not let me know

c'mon bro you can't be this helpless

odd, even, even, even, even

Answer:

63 is odd

30 is even

434 is even

898 is even

96 is even

Step-by-step explanation:

Any numbers that end in 0, 2, 4, 6, 8 are even.

Any numbers that end in 1, 3, 5, 7, 9 are odd.

Answer:In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points

Step-by-step explanation:It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance.

Answer:

just divide 48 by 120

Step-by-step explanation:

The experimental probability that in a group of 4 students, at least one of them has brown eyes, based on the given sample, is 0.898 or 89.8%.

We know that "2", "4", and "8" represent the 30% of students with brown eyes.

Any occurrence of these numbers in the sample would indicate a student with brown eyes, while other numbers would represent students without brown eyes.

Let's examine the sample of 20 random numbers:

3, 7, 1, 6, 4, 2, 0, 9, 8, 5, 2, 7, 6, 8, 4, 3, 1, 2, 0, 4

Out of these 20 numbers, the following represent students with brown eyes: 4, 2, 8, 2, 8, 4, 2, 4.

Total possible combinations of 4 students from the sample = C(20, 4) = 4845 (using the combination formula)

Number of combinations without any student having brown eyes = C(12, 4) = 495 (choosing 4 students from the remaining 12 who don't have brown eyes)

The number of combinations where at least one student has brown eyes = 4845 - 495 = 4350

Experimental probability of at least one student having brown eyes

= 4350 / 4845

= 0.898

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Answer:

radius: 9

center: (-6, -8)

Step-by-step explanation:

First, you may wan to rearrange the equation so it is easier to sole, like:

x^2 + 12x + y^2 + 16y + 19 =0

Next, we need to complete the square. x^2 + 12x is the start of the square of x + 6, which ends in 36, and y^2 + 16y is the start of the square of x + 8, which ends in 64. We can start to write in the squares like:

x^2 + 12x + 36 - 36 + y^2 + 16y + 64 - 64 + 19 = 0

(36 & 64 are subtracted so the equation stays the same)

You can factor getting:

(x + 6)^2 - 36 + (y + 8)^2 - 64 + 19 = 0

You can combine the constants to get -36 - 64 + 19 = -81 and we can add 81 to both sides to get:

(x + 6)^2 + (y + 8)^2 = 81

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

In this case, by substituting, we get the center is (-6, -8) and the radius is 9.

Answer:

since highest degree is 2 the degree of a polynomial is also 2.

since the highest exponent is 2 the leading coefficient is 1.

Step-by-step explanation:

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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The expression f(t) + g(t)  in the context of composite functions mean (f + g)(t)

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

f(t) + g(t)

The above means that we add the functions f(t) and g(t) together to form another function i.e. a composite function (f + g)(t)

Another way to write the sum of the functions is (f + g)(t)

So, in this context; f(t) + g(t)  means (f + g)(t)

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Answer: 1.7004 × 10^2

Step-by-step explanation:

is there a rate because im not understanding

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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a) The experimental probability of landing on red or yellow is:

P(red or yellow) = 33/40

b) The theoretical probability can be computed as follows:

P(red or yellow)  = 8/10

c) As the number of spins increases: Option A: we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

Theoretical probability represents the likelihood of an event occurring. The theoretical probability of getting heads is 1/2, because we know that the probability of heads and tails on a coin is equal. Experimental probability describes how often an event actually occurred in an experiment.  

a) The experimental probability of landing on red or yellow is:

P(red or yellow) = (20/40) + (13/40) = 33/40

b) The theoretical probability can be computed as follows:

P(red or yellow) = (4/10) + (4/10) = 8/10

c) As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

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According to the question, the fraction of a decimal number can be calculated by removing the decimal from the given number and substituting the zeros in the denominator.

The expression for the fraction can be written as:

Required fraction = 57.036 = 57036/1000

Divide the calculated term by four:

Required fraction = 14259/250

Therefore, the given term can be expressed in the best form as 14259/250.

What is fraction?

Fraction is a natural numbers which can be represented as a rational number. And it is divided into two parts, first part is known as numerator and second part is denominator.

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Answer:

126

Step-by-step explanation:

(−3/10)(4.2)(−100)

Since the product of -10 & 10 is -100, we can rewrite as-you may call this associative property I guess since I still haven't rearranged the factors:

(−3/10)(4.2)((−10)(10))

Associative property:

(-3/10)(4.2)(-10)(10)

Commutative property:

(-3/10)(-10)(4.2)(10)

Associative property:

((-3/10)(-10))((4.2)(10))

Simplifying:

(3)(42)

Simplifying:

126

The value of product is 126.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is;

⇒ (−3/10)(4.2)(−100)

Since, Apply Commutative property in multiplication as;

⇒ (−3/10)(4.2)(−100) = -3 × 1/10 × 4.2 × -100

                             = -3 × 4.2 × -100 × 1/10

                             = 126

And, Apply associative property;

⇒ (−3/10)(4.2)(−100) = (-3/10) (4 + 0.2) (-100)

                             = 3 × 10 (4 + 0.2)

                             = 30 (4 + 0.2)

                             = 30 × 4 + 30 × 0.2

                             = 120 + 6

                             = 126

Thus, The value of product is 126.

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Answer:

Step-by-step explanation:

perp. -3

y + 7 = -3(x - 8)

y + 7 = -3x + 24

y = -3x + 17