What number is 30% of 100

To solve the system of equations:

Equation 1: 6d + 3f = 12

Equation 2: 2d = 8 - f

We can use the substitution method or the elimination method to find the solution. Let's use the substitution method: From Equation 2, we can express d in terms of f: 2d = 8 - f. Solving for d, we get d = 4 - (f/2).

Now, substitute this expression for d into Equation 1:

6(4 - f/2) + 3f = 12

24 - 3f + 3f = 12

24 = 12

The resulting equation, 24 = 12, is false. This implies that the system of equations is inconsistent, meaning there is no solution that satisfies both equations simultaneously. Geometrically, the two equations represent parallel lines that never intersect. Therefore, the given system of equations does not have a solution.

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The speed of the train with time is given on a speed time graph

obtained from a past questions website drawn and attached here.

Correct response:

Given:

Length of the train = 220 m

Time at which the train crossed the bridge = 9:30

Length of the bridge = 1,400 m

The plot of the graph of the motion of the train obtained from a past papers website and created with MS Excel is attached;

From the attached graph, we have;

The speed of the train at 9:30 = 126 km/h

Required:

The time it took the train to completely cross the bridge.

Solution:

\(126 \, km/h = 126 \, km/hr \times \dfrac{1,000 \, m}{1 \, km} \times \dfrac{1 \ hr}{3,600 \, s} = \mathbf{ 35 \, m/s}\)

Therefore, the time it took the train to completely cross the bridge is given as follows;

Distance traveled = 1,400 m + 220 m = 1,620 m

The time it took the train to completely cross the bridge is t ≈ 46.29 s

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Answer:

D   2i

Step-by-step explanation:

Answer:

B. i√4

D. 2i

Step-by-step explanation:

Step 1

Given;

Required; To find f(x) if x=1

Step 2

A) Substitute x=1 in f(x)

Answer;

Step 3

C) Using the information in the previous​ step, list the​ point(s) on the graph of​ f, where x=1.

Answers;

Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

Answer:

A.9.07 × 10^16

B.1.68 × 10^14

C.3.04 × 10^-6

D.8.65 × 10^-13

Step-by-step explanation:

please mark brainliest!!!

If one-tower can hold 4.37×10⁶ gallons of water and other tower can hold 3.92×10⁶ gallons of water, then combined water capacity of two towers is 8.29×10⁶ gallons.

In order to find the combined water capacity of the two towers, we simply need to add their individual capacities.

The water capacity of one tower is = 4.37×10⁶ gallons of water, and the water capacity of other tower is = 3.92×10⁶ gallons of water,

So, their combined capacity is:

⇒ 4.37×10⁶ + 3.92×10⁶ = 8.29×10⁶ gallons

Therefore, the combined water capacity of the two towers is 8.29×10⁶ gallons.

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The given question is incomplete, the complete question is

A city has two water towers. one tower holds 4.37×10⁶ gallons of water and the other holds 3.92×10⁶ gallons of water. What is the combined water capacity of the two towers?

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

  120°

Step-by-step explanation:

You want the measure of ∠S = 12x° in a triangle with the other two angles being 4x° and 2x°.

The sum of angles in a triangle is 180°. That means ...

  12x° +4x° +2x° = 180°

  18x° = 180° . . . . . . . . . . collect terms

  x° = 10° . . . . . . . . . . . divide by 18

  12x° = 12(10°) = 120° . . . . . find the measure of 12x°, angle S

m∠S = 120°

Answer:

<S is 120 degrees

Step-by-step explanation:

All angles in a triangle add up to 180

12x+4x+2x=180

18x=180

x=10

So, 12(10)=120

Answer:

7p+7=37-3p

10p=30

p=3

answer : p=3 because ke=be

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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The critical value constructed with a confidence interval for the population mean with the confidence level of 90% and 20 degrees of freedom is equal to 31.4104.

As given in the question,

Confidence interval for the population mean with the confidence level = 90%

Degree of freedom is equal to 20 degree

Confidence interval  = 100 - 90

                                  = 10%

                                  = 0.1

Significance level = 0.1/2

                              = 0.05

Using chi square test ,

Critical value using critical value calculator is equal to 9.5908 and 34.1696.

using test statistic follows the χ²-distribution with 20 degrees of freedom.

Critical value is equal to  31.4104

Critical region lies within the range of  [31.4104, ∞)

Therefore, the critical value for the given confidence interval and 20 degree of freedom.

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Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

The experimental probability of each pip is P(1) = 1/5, P(2) = 1/10, P(3) = 3/10, P(4) = 1/10, P(5) = 1/6 and P(6) = 2/15

Given that

Number of pips            Tally

When completed, we have

Number of pips            Tally

1                                      ||||||||||||

2                                     ||||||

3                                      ||||||||||||||||||

4                                      ||||||

5                                      ||||||||||

6                                      ||||||||

Using the table in (a) as a guide,

When completed, we have

Number of pips            Tally              Frequency

1                                      ||||||||||||                   12

2                                     ||||||                         6

3                                     ||||||||||||||||||               18

4                                      ||||||                         6

5                                     ||||||||||                       10

6                                     ||||||||                        8

This is calculated as

E(x) = Frequency/Total Frequency

So, we have

Number of pips        Tally           Frequency    Experimental Probability

1                                  ||||||||||||                 12               12/60 = 1/5

2                                 ||||||                       6                6/60 = 1/10

3                                 ||||||||||||||||||             18               18/60 = 3/10

4                                 ||||||                       6                6/60 = 1/10

5                                 ||||||||||                     10             10/60 = 1/6

6                                 ||||||||                       8              8/60 = 2/15

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Answer:

i belive its 12850

Step-by-step explanation:

According to the given information, we can draw the following

As you can observe in the image, MP is formed by OM plus PO by the sum of segments theorem, so using the given information, we have

Answer:

10

Step-by-step explanation:

Replacing x for three (x=3) would make the equation then read 3+7

Answer:

The answer is 10.

Step-by-step explanation:

You have to substitute x = 3 into the expression :

\(x + 7\)

Let x = 3,

\(3 + 7 \\ = 10\)

Answer:

\(2 :\sqrt{\pi} \)

Step-by-step explanation:

a.......... \( x_{1} \)

Answer:

Step-by-step explanation:

Answer:

Interval Enlargement, reduction, or no size change? Does the image rotate 180° about the center of dilation?

0 < n < 1 reduction no

n = 1 no size change no

n > 1 enlargement no

-1 < n < 0 reduction yes

n = -1 no size change yes

n < -1 enlargement yes

Step-by-step explanation:

The fraction for the given situation is 7/3. Therefore, option D is the correct answer.

Given that, there are 7 apple pies.

3 people will share the pies equally.

Equal share of pie = Number of apple pies/Number of people

Equal share of pie = 7/3

So, the fraction is 7/3 of a whole

Therefore, option D is the correct answer.

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Answer:

0.45

To find 0.45 you divide 45g by 100 to get 0.45!

_________________________________________________________

Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

Answer:

a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer is known as rational numbers

Step-by-step explanation:

example 3/4,1/5

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−95,−615)(-95,-615)

Equation Form:

x=−95,y=−615x=-95,y=-615

Answer:

\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)

Step-by-step explanation:

An arithmetic sequence is generally given as:

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

where a = first term and f(n) = nth term, d = common difference

The explicit formula given is:

f(n) = 11 + 22(n - 1)

The recursive formula is made of two statements, the first term and the formula showing how successive terms are related.

Mathematically, it is given as:

\(a_1 = a\\\\a_n = a_{(n - 1)} + d\)

Therefore, the recursive formula is:

\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)

Answer:

The actual answer is g(1)=1

g(n)=g(n−1)+5

​

Step-by-step explanation:

The model's rigging length of 326 feet is likely only a fraction of the total rigging on the real Lady Washington. Nonetheless, it is still an astonishing amount of string to work with when creating a model ship!

Assuming that the scale model is an accurate representation of the Lady Washington, we can use the model's rigging length to estimate the total rigging of the actual ship. The model has 326 feet of rigging, and if we know the scale of the model, we can determine the length of the real ship's rigging.
Unfortunately, without knowing the scale of the model or the dimensions of the actual ship, it is impossible to give an exact answer. However, we can make some educated guesses based on typical rigging lengths for ships of a similar size and type.
The Lady Washington is a replica of an 18th-century trading vessel, and based on historical records, we can estimate that a ship of this type and size would have had around 1,000 feet of rigging. This includes the standing rigging (which supports the mast and stays in place all the time), as well as the running rigging (which is used to adjust the sails).

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Answer:

True

Step-by-step explanation:

If answered this question before

Answer:

x = 3

Step-by-step explanation:

Use distributive property: a(b +c) =(a*b) + (a*c)

3(x + 6) = 27

3*x + 3*6 = 27

3x + 18  = 27 {Subtract 18 from both sides}

3x + 18 -18 = 27 - 18

         3x    = 9  {Divide both sides by 3}

        3x/3 = 9/3

x = 3