What is the surface area of the cylinder with height 3yd and radius 4yd?Round your answer to the nearest thousandth.

The no. of maids who worked at the queen's palace is 58.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The queen had 300 servants. there were 10 more butlers than cooks. The number of cooks was twice the number of maids.

Assuming the no. of maids to be 'x', therefore no. of cooks is 2x and the no. of butlers is (2x + 10).

∴ x + 2x + (2x + 10) = 300.

5x = 290.

x = 58.

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The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg =  a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The straight line distance is 5 miles from starting point.

Answer:

5

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

[tex]\sqrt{25}[/tex]=5

Answer:

-a^2 + -a + 12

Step-by-step explanation:

Expand the following:

(3 - a) (a + 4)

(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):

-a a + 3 a - 4 a + 3 4

3×4 = 12:

-a a + 3 a - 4 a + 12

-a a = -a^2:

-a^2 + 3 a - 4 a + 12

Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:

-a^2 + (3 a - 4 a) + 12

3 a - 4 a = -a:

Answer: -a^2 + -a + 12

Answer:

[tex] - a {}^{ 2} - a + 12[/tex]

Question:

Which of the following is another way to express the equation 8 - (-d) = 43?

A.8-d=43

B.-d+8=43

C.-8+d=43

D.8+d=43

Answer:

8 + d = 43 is another way to express the given equation

Solution:

Consider the given equation

[tex]8 - (-d) = 43[/tex]

We have to find the another way to express the above equation

We know that,

We we multiply negative sign number by another negative sign number, then the result is positive sign number

Therefore from given,

[tex]-(-d) = -1 \times -d = d[/tex]

Thus the given equation becomes,

8 + d = 43

Thus option D is correct

Answer:

100,000,000

Step-by-step explanation:

hope this helps

6 bills in the deposit were $10 bills.

Step-by-step explanation:

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

He deposits $5 bills and $10 bills. So, the equation can be framed as :

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

To solve for y value :

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

 5x + 5y = 120

-(5x + 10y = 150)

 -5y = -30      

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

The student didn't provide enough information to answer their question. The subject and specific problem were missing from the request. More context or further details are needed to give a correct and applicable tutorial response.

Unfortunately, your question did not provide enough information for me to provide a specific answer. The subject and the specific problem you want to explain have not been given. Please provide these details, and I would be more than happy to help you understand any academic problem you're facing, whether it's about Mathematics, English, History, Biology, Physics or any other subject.

Remember that it's always good to include as much information as possible - what particular concept do you struggle with? Is there a specific assignment question that troubles you? This will help tutors provide you with the most accurate, relevant, and helpful answer!

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Answer:

Reflection in the y-axis maps:

(x,y) onto (-x,y)

x coordinate gets multiplied by -1,

y coordinate remains unchanged

Answer:

complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1.

Step-by-step explanation:

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

[tex]$A=\frac{b_{1}+b_{2}}{2} \times h[/tex]

Step 2: Substitute the given values in the formula.

[tex]$A=\frac{7+3}{2} \times 4[/tex]

Step 3: Add 7 and 3.

[tex]$A=\frac{10}{2} \times 4[/tex]

Step 4: Divide 10 by 2, we get

[tex]A=5 \times 4[/tex]

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

The best option that describes an unpredictable event is the winner of a presidential election 10 years from now. Hence, option B is correct.

An event in probability theory is the result of a random event or a specified group of its results. Any subgroup of a sample space is another definition of an event because the sample space is the gathering of all potential results of a random experiment.

As per the given data in the question,

Unpredictable life occurrences are those that occur without warning and are typically unplanned.

So, the unpredictable event will be the winner of a presidential election 10 years from now. Because that is not known by anyone.

To know more about the event:

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Answer:

90+3/10 over 100

Step-by-step explanation:

Hope this helped you

Answer:

-2x+11

Step-by-step explanation:

multiply both terms by using the distributive property

It will be: 4x-4-6x+15

add like terms and the equation becomes

-2x+11

Answer:

-2x +11

Step-by-step explanation:

4(x−1)−3(2x−5)

Distribute

4x -4 -6x +15

Combine like terms

4x-6x -4 +15

-2x +11

a) 6x - 5y = 10x + 7 SOLVING FOR X:

6x-5y=10x+7

−5y=10x+7−6x

−5y=4x+7

−5y−7=4x next divide both sides by four and switch sides

[tex]\frac{-5y-7}{4} =x[/tex]

[tex]x=\frac{-5y-7}{4}[/tex]

a) 6x - 5y = 10x + 7 SOLVING FOR Y:

6x-5y=10x+7

−5y=10x+7−6x then simplify

−5y=4x+7, now divide both sides by negative five

[tex]y=\frac{4x+7}{5}[/tex]

b) -4 +(-3) -(-9)

-4+(-3)-(-9) Remove parentheses and simplify.

−4−3+9=−7+9=2

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

To calculate the cost for 115 minutes at the Strike Zone Battling Center, we account for the flat rate for the first 45 minutes and add the additional cost for the remaining 70 minutes at a rate of $0.35 per minute. We find that the total would be $37.25.

The cost calculation for using the cages at the Strike Zone Battling Center operates on a tier system. The first 45 minutes costs a flat rate of $12.75. If a patron uses it for additional time up to 2 hours (or 120 minutes), it's an extra $0.35 per minute. Anything over 2 hours is $0.25 per minute.

To calculate the cost for 115 minutes, we determine that it is less than 2 hours. Therefore, the cost will be the flat rate of $12.75 plus the additional cost for 70 minutes (which is 115 minutes minus the first 45 minutes) at $0.35.

The calculation goes as follows:
$12.75 + (70 * $0.35) = $12.75 + $24.50 = $37.25.

So, for 115 minutes, you would pay $37.25

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The red dot on the number line represents the value [tex]\(\frac{4}{5}\)[/tex], corresponding to option C.

In a fraction, the numerator (4) denotes the number of parts considered, while the denominator (5) indicates the total number of equal parts in one whole.

Thus, [tex]\(\frac{4}{5}\)[/tex] signifies four parts out of five, placing the red dot closer to the whole number 1 but not reaching it.

This representation aligns with the fraction's numerical value, emphasizing the position of the red dot on the number line and its fractional significance in relation to the unit interval.

Hence, the correct answer is Option C. 4/5

Determining the value of the red dot requires analyzing its position on the number line relative to specific landmarks and measurements provided; however, without the visual of the number line, a precise answer cannot be given.

The value of the red dot on the number line can be determined based on its position relative to the given reference points. The various descriptions of dots' positions involve a comparison to Car X and Car Y figures, as well as precise measurements in terms of perpendicular hash marks on a graph. To ascertain the value that the red dot represents, we must closely examine its placement on the number line in comparison to these references. However, it's crucial to have a visual representation of the number line to provide an accurate value. The mentioned descriptions such as 'the third dot is about one and two-thirds perpendicular hash marks to the right of the center top perpendicular hash mark' indicate the need to understand measuring units and relative positioning on the number line.

Final answer:

Every natural number is a rational number and a real number, but not every rational or real number is a natural number. Also, all irrational numbers are indeed real numbers.

Explanation:

Let's address the statements about numbers and their classifications to determine if they are true or false:

Every natural number is a rational number. - True

Every rational number is a natural number. - False, rational numbers include fractions and negative numbers which are not natural numbers.

The corrected statements are:

Answer:

c=3

Step-by-step explanation:

First simplify like terms.

1+4c=7+2c

1+2c=7 (subtract 2c from both sides)

2c=6 (subtract 1 from both sides)

c=3 (divide by 2)

CHECK:

1+4(3)=7+2(3)

1+12=7+6

13=13

Yes!

Answer: [tex]c=3[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation:

[tex]4c+1=2c+7[/tex]

Step 2: Subtract 2c from both sides:

[tex]4c+1-2c=2c+7-2c[/tex]

[tex]2c+1=7[/tex]

Step 3: Subtract 1 from both sides.:

[tex]2c+1-1=7-1[/tex]

[tex]2c=6[/tex]

Step 4: Divide both sides by 2:

[tex]2c/2=6/2[/tex]

Get your answer:

[tex]c=3[/tex]

Answer: 264 cm^2

Step-by-step explanation:

22*6.5+22*5.5=22*12=264

The area of the given figure  156.75 sq cm.

Step-by-step explanation:

Here,

The figure is a trapezium.

In this trapezium

a = 22 cm

b = 6.5 cm

A and b are the length of two parallel sides.

Height (h) = 5.5 cm

To find the area of the figure which is consists of two trapezium

Formula

Area of the trapezium = [tex]\frac{1}{2} (a+b)h[/tex]

Now,

The area of one trapezium = [tex]\frac{1}{2} (22+6.5)X5.5[/tex] sq cm

= 78.375 sq cm

So,

The area of the figure = 78.375×2 sq cm = 156.75 sq cm

Answer:

Which system of equations has infinitely many solutions? its the last option

Answer:

The radius is 2.5 yards

The diameter is 5 yards

Step-by-step explanation:

We want to find the radius and diameter given that, the circumference of the circle is;

C=5π yards.

Recall that, the circumference of a circle is C=πd

This implies that:

[tex]5\pi = \pi \: d[/tex]

Divide both sides by π

[tex]5 = d[/tex]

To find the radius, divide the diameter by 2;

[tex]r = \frac{5}{2} = 2.5[/tex]

The radius is 2.5 yards

The diameter is 5 yards

Answer:

6

Step-by-step explanation:

21 divided by 3.50 is 6.

Answer:

6 bags of takis

Step-by-step explanation:

$21.00 / $3.50 = 6

Answer:

on the x-axis

Step-by-step explanation:

it is located on the x axis because it is not technically in any quandrant. it is however, on an axis.

Answer: Its located on the y-axis

Step-by-step explanation: any point where x is zero e.x (0,7) (0,3), is always going to go through the y-axis only

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base [tex]= 9[/tex] inches,

The width of the base [tex]=6[/tex] inches, and

The height of the exhibit [tex]= 3(17) = 51[/tex] inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

[tex]A=2(w l+h l+h w)[/tex]

By substituting the values, we get

[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Diameter of circle = 25 m

Therefore, radius of the circle = 12.5 m

[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]

Answer:.1 1\2

Step-by-step explanation:

Answer:65:195

Step-by-step explanation:

50:150

According to what I know you must turn this into a fraction.

150/50

Now that you have a fraction you must divide because the fraction bar means division.

150÷50=3

Each family got 3 plants

65×3=195

195 plants for 65 families

65:195

Answer: 65:195

Step-by-step explanation: