3 miles is the same as how many kilometers?
Hint: 1 mi≈ 1.6 km
Round your answer to the nearest tenth.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

Step-by-step explanation:

Three numbers that round to 32,000 when rounded to the nearest thousand are:

31,500

31,750

32,250

When rounded to the nearest thousand, 31,500 rounds down to 32,000, 31,750 rounds up to 32,000, and 32,250 rounds up to 33,000.

Answer:

32,456

32,123

31,723

Step-by-step explanation:

To round a number to the nearest 1000, look at the digit next to thousand digit. If this next digit is 5  or more round up, else round down. Change all digits to the right of the thousands digit to 0

32, 456 ==> thousand place = 2 , next digit = 4 hence round down to 32, 000

31,723 ==> thousand digit is 1, next digit is 7 so round up to 32,000

The diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

The fοrmula fοr the circumference (C) οf a circle is given by:

C = 2πr

where r is the radius οf the circle.

If the circumference οf the circle is 28 inches, we can sοlve fοr the radius by dividing bοth sides οf the equatiοn by 2π:

C/2π = r

Substituting the given value οf C = 28, we get:

r = 28/2π

r = 14/π

Finally, tο find the diameter (d) οf the circle, we multiply the radius by 2:

d = 2r

Substituting the value οf r = 14/π, we get:

d = 2(14/π) = 28/π

Therefοre, the diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

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The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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Answer:

A. (4x56)+(3x56)=r

B. 56x(4+3)=r

E. (7x56)=r

Step-by-step explanation:

Kira used 392 yards of ribbon.

Answer: 5

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

By angle bisector property:

\( \frac{x}{2} = \frac{6}{3} \\ \\ x = \frac{2 \times \cancel6}{ \cancel3} \\ \\ x = 2 \times 2 \\ \\ x = 4\)

Given that the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths, the necessary expression will be "4x cm h 10x cm."

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. A mixture of numbers, variables, and functions is called an expression (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases. A mathematical statement using just numbers and one or more operation symbols is known as a numerical expression. Here,

The third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths,

(h>7x - 3x) and (h<7x + 3x)

(7x - 3x) cm < h < (7x+ 3x) cm

4x cm < h < 10x cm

The required expression will be "4x cm< h< 10x cm" as the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths.

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Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

The measure of m∠z is 135°.

A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.

As, Each inner angle is the same measure because it is a regular octagon.

To calculate the interior angle sum of a polygon, we have a formula.

The total internal angle of a polygon

= (n -2)180°, where "n" is the number of sides.

Here, n = 8

Then, sum of the interior angles.

= (8 -2)180

= 6 x 180

= 1080°

Thus, the measure of m∠z = 1080/ 8  = 135°

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Answer:

5 hope this helps

<3

Step-by-step explanation:

ok so this will turn into an algebraic equation, x4-7=13

these are hard because you have to figure out the order first then you just solve like a normal problem..

x4-7=13

x4=20

x=5

Answer:

5

Step-by-step explanation:

x-7•4=13

13+7=20

20/4=5

5•4-7=13

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

its the largest, positive number

Answer:

Step-by-step explanation:

B because the vertex is at point (3, 4) which is greatest.

Answer:

\(\text{b. } y=-(x-3)^2+4\)

Step-by-step explanation:

Algebraically, we want to compare the y-coordinates of the vertex, since all the functions shown are parabolas that are concave down.

Let's break the format down:

The negative sign in front of each of the functions indicate that the parabolas will be concave down (open downwards), which means the vertex represents the function's maximum. The term inside the parentheses when applicable to just indicates the horizontal/phase shift.

Since the first term being squared is negative, we want to minimize its value to produce the greatest possible y-value.

Therefore, substitute whatever value of \(x\) that makes each \(x^2\) term equal to 0. (Maximum value of \(-x^2\) is 0).

Therefore, we can simplify compare the last terms in each equation.

Equation A's last term is 3.

Equation B's last term is 4.

Equation C's last term is -5.

Equation D's last term is 0.

Since equation B has the greatest last term, it will have the greatest possible y-value.

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

\(\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}\)

\(\text{Required probability}=\dfrac{10}{120}\)

\(\text{Required probability}=\dfrac{1}{12}\)

Therefore, the required probability is \(\dfrac{1}{12}\).

Answer:

Step-by-step explanation:

sorry don't really know.

9514 1404 393

Answer:

Step-by-step explanation:

In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:

  ___ + 4 = 5

In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.

  y + 4 = 5

__

To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.

__

1 goes in the blank to make the original statement true:

   1   + 4 = 5

1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.

Answer:

a) 7.5 meters b) 588.75

Step-by-step explanation:

To calculate the volume you need to multiply the 3 values together so

3x5x0.5 = 7.5

That is the volume

Then you got to multiply that by 78.50 to get the answer for b

78.50x7.5 =588.75

Step-by-step explanation:

12x-15-4x+1=-6

12x-4x= -6+15-1

8x= 8

x=1

my answer is 100 % correct

By answering the given question, we may state that We can apply the formula if we know the radius: C = 2πr where the radius r is.

In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

We must know the base's diameter or radius in order to calculate the circumference of the tin.

If we know the diameter, we can apply the following formula to determine the circle's circumference:

C = πd

where d is the diameter and C is the circumference.

We can apply the formula if we know the radius:

C = 2πr

where the radius r is.

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Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Answer:

B Igneous

Step-by-step explanation:

Igneous rock is formed by melting and then cooling.

Answer:

B

Step-by-step explanation:

Igneous

As per given diagram:

Take two points on the line (1,1) and (0,4)

For the slope of the line:

Now put the values in the formula:

So the slopw of the given line is -3.

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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Step-by-step explanation:

180°= 3q+q+q (Sum of angles in a triangle)

180°=5q

q=180÷5

q=36

Acute angle=36°

Obtuse angle=108°