Two points are 17 units apart on a number line. The coordinate of one point is -20.
What are the possible coordinates of the other?
A. -3 and +3
B. -37 and +3
C. -37 and -3
D. +37 and +3
E. +37 and -3

Answer:

To solve the proportion, X/2 = 9/27, you can cross multiply to get 2x = 9*27, which simplifies to 2x = 243. Then divide both sides by 2 to get x = 243/2, which simplifies to x = 121. Therefore, the solution to the proportion is x = 121.

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

54,000 teenagers

Step-by-step explanation:

72/100* 75,000/1=54,000

Answer:

28cm^2

Step-by-step explanation:

Area = 4 x 7

=28

hope it helps u

Answer: 27

Step-by-step explanation:

Use PEMDAS (Parenthesis,Exponents,Multiplication,Division,Addition,Subtraction)

to solve this problem. First multiply 5 times 4 to get 20. Then divide 14 by 2 to get 7. Lastly, add those two answers to get 27 as the final answer.

Based on the question, the 4 in the second figure is 10 times larger in value than the 4 in the first figure.

If we check the  "47163," which is the second number , we can see that  4 is in the ten-thousands position.

Then in the  first figure, "34258," the value 4 is in the one-thousands position.

Therefore, Based on the question, the 4 in the second figure is 10 times larger in value than the 4 in the first figure.

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Answer:

B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

This is an example of systematic sampling, which is a valid sampling method if the ordering of the individuals in the population does not affect the results. However, it may not be a representative sample if there is any pattern or bias in the order of the individuals.

Using the given information, we can estimate the proportion of people who have used their price plus card as:

38/50 = 0.76

Therefore, we can expect that approximately 0.76 of the 800 people in the store would be using their price plus card:

0.76 x 800 = 608 people.

Answer:

Yes

608 people

Step-by-step explanation:

800 × 38 =30400

30400 ÷ 50 =608

The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 2 plus pi over 2 times n comma such that n is an integer is, 2 coscec 2x.

Since, Cosecant is one of the trigonometric ratios .

It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle.

It is also calculated as the reciprocal of the sine function.

Now, here if the vertical asymptotes is x = pi/2 + pi/2 (n).

This is not defined when n=0.

so, when x= pi/2,

sin 2x = sin x = 0

which means w =0 .

and we get the equation for cosecant function to be,

⇒ f(x) = 2 cosec 2x

since cosec x = 1/ sin x.

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Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

The expression for one fifth the difference of a number and 17 is B. 1/5( n - 17).

It should be noted that an expression is used to show the relationship between the variables.

In this case, the information is to find the expression for one fifth the difference of a number and 17.

Let the number be n. The expression will be:

1/5( n - 17).

In conclusion, the correct option is B.

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The formula for the n-th term of the sequence is:

sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ

Here sₙ represents the n-th term of the sequence, we can see that:

s₁ = -4

s₂ = 6

s₃ = -8

...

What we can see is that in each consecutive term, the sign changes and we add or subtract 2, depending on the new sign.

Then the recursive formula for the n-th term can be written as:

sₙ = sₙ₋₁*(-1)ⁿ + 2*(-1)ⁿ

Where the (-1)ⁿ are things that change the sign depending if n is  even or odd.

We can expand the formula to be a more general one by writting:

sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ

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Answer:

2.24

Step-by-step explanation:

Well...Ummm I don't know how to exactly explain it but I'll try

11 x 2.24=24.64 or you can do division and do 24.64 divided by 2.24=24.64

Answer:

f⁻¹ \((x)\) = \(3(x+2)\)

Step-by-step explanation:

The first step to finding the inverse of a function is to let \(y=f(x)\).

This would mean \(y=\frac{x}{3}-2\).

Then we swap \(x\) and \(y\) in the formula.

\(x = \frac{y}{3} -2\)

Then rearrange for \(y\):

\(x=\frac{y}{3}-2 \\\\x+2=\frac{y}{3}\\\\3(x+2)=y\)

This new equation of \(y\) is the inverse function.

f⁻¹ \((x)\) = \(3(x+2)\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

36.8

Step-by-step explanation:

5/8 = 23/x

5x=23*8

5x=184

x=184/5

x=36 and 4/5 or 36.8

this is the answer

210.28

Answer: 6

Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

\(a^x + a^y = a^{x+y}\)

4 KB = 2²⁺¹⁰ B = 2¹² B

There are t values that do not make sense

The graph of the function d =100t - 16t² is added as an attachment

From the graph:

The values of t that do not makes sense are values less than 0 (because time cannot be negative) and values above 6.25 because cannot enter the ground

From the graph:

The time to reach the highest point is 3.125 seconds

And the time to return to the ground is 6.25 seconds

These points are well labelled on the graph

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Answer:

Step-by-step explanation:

dudjdjd

Answer:

-19

Step-by-step explanation:

-4(3)+(-7)

-12 + (-7)

-12 + (-7)

-12 - 7

= -19

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

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

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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Answer:

8/25 Ib per burger.

Step-by-step explanation:

2/5 * 4 = 1.6

1.6 / 5 = 8/25

Answer:

7= Hundredths

2=Thousandths

The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.

Given that,
In the number 3.072 the digit 7 is in the place and the digit 2 is in the is to be determined.

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,

Given decimal value = 3.072
Where after the decimal point 0 is at tenth position, 7 is at hundredth position and 2 is at thousandth positions.

Thus, The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.

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