last year 30 people went on a family trip to universal this is 5 times as many people that went the year before. how many people went the uear before?

write the ratio from strawberries to melons

according to this means that for every 4 cups of melons Valerie should add 3 cups of strawberries

write 14 as a product of 4

From this we can see that she used 3 whole 4 cups of melons for which she is going to require 9 cups of strawberries, she also used 2 additional cups of melons for which she will need 1.5 additional cups.

check if answer is correct

She will need 10 cups and a half cups of strawberries.

Answer:

after 10 months

Step-by-step explanation:

Let x be the number of months and y be the amount they still owe.

Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.

Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in

b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.

They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:

-60x+ 1000 = -20x+ 600

1000 = 40x+ 600

400 = 40x

10=x

They will then owe the same amount after 10 months.

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

Step-by-step explanation:

According to law of gravitation, the gravitational force between two bodies of masses M and m is expressed as F = GMm/d² ... 1 where;

G is the gravitational constant

d is the distance between the masses

If the distance between two bodies is tripled and the mass of each is doubled, then the gravitational force will become:

F2 = G(2M)(2m)/(3d)²

F1 = 4GMm/9d² ... 2

Taking the ratio of the original gravitational force to the new one we have;

F1/F = 4GMm/9d²/GMm/d²

F1/F =  4GMm/9d² * d²/GMm

F1/F = 4/9

F1 = 4/9F

This shows that if the distance between two bodies is tripled and the mass of each is doubled, the force of gravitation between them will four - ninth the original force

Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Step-by-step explanation:

||-514||,||-47||,||67||

Answer:

Step-by-step explanation:

Answer:

-24

hope this helped! :3

Step-by-step explanation:

3 x -4 = -12

-12 x 2 = -24

Answer:

3× -4 = -12

-12 × 2=-24

Step-by-step explanation:

follow your sign discriptively take notice in change of ur sign.

+× - = -

- × - = +

+ × + = +

- × + = -

Answer: D

Step-by-step explanation:

Hope it helps

Answer: 5-4+7x+1 = [7]x+[not 2]

5-4+7x+1 = [not 7]x+[any number]

5-4+7x+1 = [7]x+[2]

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

Hi, I'm here!

The exact value of sin(5π/12) is (√6 + √2)/4

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer:

7

Step-by-step explanation:

7

The radius of the diameter X is 6cm. Option D

To determine the radius of the circle, we have;

It is important to that the formula for diameter

The formula for calculating the diameter is given as;

d = r/2

Such that the parameters are given as;

From the information given, we have that;

Diameter, d = 12cm

Now, we have to substitute the values

Radius =diameter/2

Radius = 12/2

Radius = 6cm

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f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24\)

so is linear because it has a slope (common difference) of -8,

Answer:

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a. According to the range, the two distributions have the same variability.

b. According to the standard deviation, the second distribution has greater variability than the first distribution.

a. To compute the range, we will subtract the lowest score from the highest score.

For the first set of scores: Range = 12 - 0 = 12

Similarly, for the second set of scores: Range = 12 - 0 = 12

Therefore, both sets of scores have the same range.

b. Now, to compute the standard deviation, we will first calculate the mean of the scores.

For the first set of scores: Mean = (0 + 6 + 6 + 12) / 4 = 6

Next, we calculate the deviation of each score from the mean:

0 - 6 = -6

6 - 6 = 0

6 - 6 = 0

12 - 6 = 6

Then, we square each deviation:

\((-6)^2\) = 36

\(0^2\) = 0

\(0^2\) = 0

\(6^2\) = 36

Taking the average of these squared deviations:

(36 + 0 + 0 + 36) / 4 = 18

Finally, we take the square root of this average to get the standard deviation:

SD = \(\sqrt{18}\) = 4.24 (rounded to two decimal places)

Similarly, we can find the mean calculate the standard deviation for the second set of scores which will come out to be -

Mean = (0 + 0 + 12 + 12) / 4 = 6

Standard deviation = \(\sqrt{36}\) = 6

Therefore, for the second set of scores, the standard deviation is larger, indicating greater variability.

Hence we can conclude that -

According to the range, the two distributions have the same variability and according to the standard deviation, the second distribution has greater variability than the first distribution.

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Answer:

Ms. Rangtonsmith will get $30 after raise

Step-by-step explanation:

Current salary = $25

raise = 1/5 of current salary

substituting current salary with $25

raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5

Thus, raise is $5

total salary after raise will be sum of current salary and raise

total salary after raise = $25 + $5 = $30

Thus, Ms. Rangtonsmith will get $30 after raise

The area of the face of a nickel 353.14 \(mm^{2}\) (nearest hundredth)

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = \(\frac{21.21}{2}\) = 10.605 mm

Area of circle= \(\pi r^{2}\)

                      = 3.14* 21.21*21.21

                      = 353.143 \(mm^{2}\)

                      = 353.14 \(mm^{2}\) (nearest hundredth)

Thus, the area of the face of a nickel 353.14 \(mm^{2}\) (nearest hundredth)

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Answer:

-11

Step-by-step explanation:

Answer:

Factorizing is the part of math where you find out the equations.

Step-by-step explanation:

Answer:

Factoring is the process of trying to find a numbers factor.

Step-by-step explanation:

Ex: 6 is 2 × 3

Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS