Given _______________________________________________, there is one and only one line perpendicular to the plane through that point.

Answer:

6      :  15       : 11

Step-by-step explanation:

men:women:children

24  :  60        : 44

Divide each part by 4

24/4  :  60/4     : 44/4

6      :  15       : 11

Answer:

3 years

Step-by-step explanation:

By simple interest formula:

[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]

Answer:

its b

Step-by-step explanation:

i just did it.

Answer:

x=2 is the answer.

Step-by-step explanation:

10+2x+6x=26

10+8x=26

Subtracting 10 on both sides to find out the value of x

10-10+8x=26-10

8x=16

Dividing 8 on both sides

8x/8=16/8

x=2

Hope it will help ^_^

Answer:

Step-by-step explanation: I hope it helps :)

[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]

Answer:

160

Step-by-step explanation:

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

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Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

Answer:

24.5

Step-by-step explanation:

If you multiply 2 and 24.5 together you would get 49

The value of the solution to the given equation is 7, which is the correct answer that would be option (D).

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is given in the question following as:

x² = 49

We have to determine the value of the solution to the given equation

As per the given question, we have

⇒ x² = 49

⇒ x² - 49 = 0

⇒ x² - 7² = 0

We know that the formula as, a² - b² = (a + b)(a - b)

Here a = x and b = 7, and we get

⇒ (x + 7)(x - 7) = 0

⇒ x + 7 = 0 and x - 7 = 0

⇒ x = - 7 = 0 and x = 7

Thus, the value of the solution to the given equation is 7,

Hence, the correct answer would be an option (D).

Learn more about the equation here:

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Answer:

422 Square Inches

Step-by-step explanation:

6x7=42

7x13=91

6x13=78

(2)42+(2)91+(2)78=422

You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length

Answer:

Option C.

The two sums are equal.

Step-by-step explanation:

In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.

This means that the sum of the exterior angles of a square is equal to that of the pentagon.

As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees

Answer:

DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]

RANGE: [tex](-\infty,\infty)[/tex]

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

[tex](-\infty,1]\cup(2,\infty)[/tex]

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

Answer:2.25 + 4.5 = 6.75 cups of flour

2.25

Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4

Step-by-step explanation:

2 x (16 + (10 + 3) - 3) - 22

2 x (16 + 13 - 3) - 22

2 x 26 - 22

2 x 4

= 8

Answer:

1363.6

Step-by-step explanation:

let the basic salary be = x

10% of x = 10/100x

So the equation = x + 10/100x = 1500

                           = x + 0.1x = 1500

                           = 1.1x = 1500

                           =  x = 1500/1.1

                           =  x = 1363.6

Answer:

Area = length × width = 15 × 9 = 135

Perimeter = 2 × (length + width) = 2×(15 + 9) = 48

Answer:

2167.2

Step-by-step explanation:

Answer:

2167.2

Step-by-step explanation:

For this problem, let's use the distributive property to make this multiplication easier.

4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.

Now let's multiply these numbers with 516.

(516 * 4) + (516 * 1/5) == ?

(2064) + (103.2) == ?

2167.2 == ?

So the product of 516 and 4.2 is equal to 2167.2.

Cheers.

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Explanation:

First focus on the fact that "the average of x and t is y". This means

(x+t)/2 = y

We basically add x and t, then divide by 2 to get the average y

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We are then told that s = 2y, so we double the average

s = 2y

s = 2(x+t)/2

s = x+t .... notice the 2's cancel each other out when dividing

s turns out to be the sum of x and t, which is fitting I think

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Now find the average of s, x, and t. You'll add the three values and divide by 3

(s+x+t)/3

(s + (x+t))/3

(s + s)/3 .... replace x+t with s

2s/3

2(2y)/3 ... plug in s = 2y

4y/3

The average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

From the question, we are to determine the average of s, x, and t in terms of y

From the given information

The average of x and t is y

That is,

(x+t)/2 = y

∴ x + t = 2y

Also,

s = 2y

The average of s, x, and t is

(s + x + t) / 3

Putting the values of x + t and s into the above expression, we get

(2y + 2y)/3

This becomes

4y/3

Hence, the average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

Learn more on Calculating average here: https://brainly.com/question/20118982

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Answer:

x = Y-3 over 8

Step-by-step explanation:

Y = 8x+3

Take the 3 to the other side by subtracting it

so:

Y-3 = 8x

divide 8 to get only x

x = Y-3 over 8

Answer: the answer is when the wheel is at 70.43° after 7.82seconds from when you ride on it

Step-by-step explanation:

Rule of 3

65ft center meaning the top point at 90° will be at 115ft since the diameter of the wheel is 50ft

If the 90° gets you at 115ft, at what degree will you reach 90ft?

90°----115ft

X°------90ft

(90x90) ÷ 115 = 70.43°

Then if 360° takes 40seconds which is the complete turn

360°----40s

70.43°--X

(70.43 x 40) ÷ 360 = 7.82s

The resulting number is 72895.5.

To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.

Step 1 - Truncate digits less that a tenth:

[tex]x = 72895.4[/tex]

Step 2 - Ascend the tenth digit to its next one:

[tex]x = 72895.5[/tex]

We kindly invite to see this question related to rounding: https://brainly.com/question/2323275

Answer:

The reasonable domain is less extensive that the mathematical domain.

Step-by-step explanation:

The reasonable domain for the function is the set of all possible values of the independent variable (in this case x) that make sense to the situation in which the function is being applied.

For the function [tex]f(x)=16.4x+2[/tex], the mathematical domain is the set of real numbers.

Now, in the function the independent variable ''x'' represents the distance (in miles) between the job site and the office. We know that we can't have a negative distance in real life. Therefore, we need to restrict our mathematical domain into the reasonable domain by eliminating all the negative numbers from the set of all real numbers.

Our new domain (reasonable domain) is

{x ∈ IR : x ≥ 0}

The reasonable domain is less extensive that the mathematical domain.

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

4. alternate interior angles

5. corresponding angles

6. co-interior angles

Answer:

5 metres.

Step-by-step explanation:

The volume is the length of each edge cubed,

so x^3 = 125    where x is that length.

x = ∛125

= 5.

Answer:

5

Step-by-step explanation:

Answer:

the living room

Step-by-step explanation:

Answer:

n = 0 or n = -9/16

Step-by-step explanation:

Solve for n:

2 (8 n^2 + 9 n) - 9 n = 0

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

16 n^2 + 9 n = 0

Hint: | Factor the left hand side.

Factor n from the left hand side:

n (16 n + 9) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

n = 0 or 16 n + 9 = 0

Hint: | Look at the second equation: Isolate terms with n to the left hand side.

Subtract 9 from both sides:

n = 0 or 16 n = -9

Hint: | Solve for n.

Divide both sides by 16:

Answer: n = 0 or n = -9/16

Answer:

(6,5)

Step-by-step explanation:

Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])

([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])

            =(6,5)

Answer:

14

Step-by-step explanation:

d=5 so

2(5)+4(5)-9-7

10+20-9-7

30-9-7

21-7

14

Answer:

2×5+4×5-9-7.

10+20-9-7.

=14.

Answer:

2×5+4×5-9-7.

10+20-9-7.

=14.