Brian made 72 widgets. If kelly and miranda together made three times as many widgets as brian, how many more widgets did they make?

Write the mathematical sentence and show the work .

Answer:

Two equal sides: 15 centimeters, Third side: 21 centimeters

Step-by-step explanation:

Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)

Answer:

15.25 km =15,250 m

so Jada ran further

Answer:

Jada ran farther

Step-by-step explanation:

First, convert 8,500 to kilometers.

8,500 ÷ 1,000 = 8.5

15.25 > 8.5

Have a wonderful day!

Answer:

 [ 26 / 425 ] ≈ 0.0612

Step-by-step explanation:

Solution:-

- First we will describe the standard deck of 52 cards in terms of black, red and face cards found in a standard deck

- Following is a table of distribution of colored and face card found in a standard deck:

                 Type                   Number of cards

                 1 - 10                                40

                 Black                               26

                 Red                                 26

                 Face                                12

- The numerical cards from digit ( 1 to 10 ) are found in all 4 suits ( Clubs, Diamonds, Spades, and Hearts ). Hence, 10 x 4 = 40

- The entire deck is split in two colors ( Red and Black ) equally. So, the number of Black and Red cards are = 52 / 2 = 26 cards.

- The face cards are of three types ( King, Queen and Jack ). These three face cards are found in each of the 4 suits. Hence, Total number of face cards are = 4 * 3 = 12

- We will now consider the probabilities asscociated with each type. We will define 3 events and write down their proability as expressed:

Event ( A ): First draw is a red card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 red card in a standard deck of 52 cards. Hence,

            p ( A ) = [ Number of red cards ] / [ Total cards in a deck ]

            p ( A ) = [ 26 ] / [ 52 ]

            p ( A ) = 1 / 2

- After we make the first draw of a red card. Our deck distribution is changed to Number of Red cards remaining = 25 and total deck now has 51 cards remaining.

- We will define the next event as:

Event ( B ): The second draw is a face card.

- The probability of this event can be determined with the help of the table given above. There are a total of 12 face cards in a standard deck of 52 cards which is now down to 51 cards. Hence,

            p ( B ) = [ Number of face cards ] / [ Total cards in a deck ]

            p ( B ) = [ 12 ] / [ 51 ]

            p ( B ) = 4 / 17

- After we make the first draw of a face card. Our deck distribution is changed to Number of Face cards remaining = 11 and total deck now has 50 cards remaining.

- We will define the next event as:

Event ( C ): The third draw is a black card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 black cards in the deck. The total number of cards are down to 50 cards only. Therefore,

            p ( C ) = [ Number of black cards ] / [ Total cards in a deck ]

            p ( C ) = [ 26 ] / [ 50 ]

            p ( C ) = 13 / 25

- The entire drawing process consists of 3 events which are dependent on each draw. However, for the overall event to occur i.e drawing a red card , then a face card, and then a black card. We will multiply all three outcomes as follows:

          p ( T ) = p ( A ) * p ( B ) * p ( C )

          p ( T ) = [ 1 / 2 ] * [ 4 / 17 ] * [ 13 / 25 ]

          p ( T ) =  [ 26 / 425 ] ≈ 0.0612

The one data point that does not fit in scatter plot to the pattern is (60.7  ,  182.1)

What is a scatter plot meaning?

The best chart is Scatter Plot

The one data point that does not fit to the pattern is

(60.7  ,  182.1)

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Answer:

(f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

Step-by-step explanation:

Answer:

∠ DCF = 45°

Step-by-step explanation:

given AB is parallel to CD , then

∠ BAF and ∠ AEC are alternate angles and are congruent , that is

∠ AEC = ∠ BAF = 75°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AEC is an exterior angle of Δ CEF , then

∠ DCF + ∠ CFA = ∠ AEC

∠ DCF + 30° = 75° ( subtract 30° from both sides )

∠ DCF = 45°

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

the answer is c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

turst me on this one and i hope I helped!

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Answer:

20

Step-by-step explanation:

5 to 9 = 11

0 to 4 = 9

11 + 9 =  20.

hope this helps

Answer:

2 hours and 30 minutes

Step-by-step explanation:

50 miles times 3 minus 25

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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Answer:

Step-by-step explanation:

Answer:

6^5

because i used a calculator enjoy

Answer:The quotient is 0.71875

Step-by-step explanation:

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

8 + 11i

Step-by-step explanation:

hope it is well understood

Answer:

x = − 5

Step-by-step explanation:

Divide each term by  − 14  and simplify.

Answer: x =5

Step-by-step explanation:

14x/14= 70/14

X = 5

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

Step-by-step explanation:

مرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجواب

Answer:

مرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجوابمرحباً ، لا أعرف هذا الجواب

Step-by-step explanation:

أتمنى أن يساعدك هذا

The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

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Answer:

Step-by-step explanation:

To express the difference in mean weights as a multiple of the MAD for both dog breeds, we can use the formula:

(difference in means) / (mean absolute deviation)

Let's plug in the values given in the problem:

(difference in means) = 13 - 11.5 = 1.5

(mean absolute deviation) = 2 + 1.8 / 2 = 1.9 (taking the average of the two MADs)

Now we can calculate:

(difference in means) / (mean absolute deviation) = 1.5 / 1.9 ≈ 0.7895

Therefore, the difference in mean weights between the two breeds is approximately 0.7895 times the average MAD for both breeds.

Answer:

22 is the answer

Step-by-step explanation:

She wants to divide one pizza in 6 equal parts, so:

Using long division:

Answer:

Each person will receive 1/6 or 0.166 of the pizza

i dont understand your question

Answer:

\(f(x)=-5x^2+20x\)

8.75 m

Step-by-step explanation:

Given ordered pairs:  (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)

From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant.  Therefore, the relation is not linear.

As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.

The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).

Creating an equation using the x-intercepts:

\(f(x)=a(x-0)(x-4)\)  where \(a\) is some constant

\(\implies f(x)=ax(x-4)\)

\(\implies f(x)=ax^2-4ax\)

Creating an equation using the vertex form:

\(f(x)=a(x-2)^2+20\)

\(\implies f(x)=ax^2-4ax+4a+20\)

Equating constants to determine a:

\(4a+20=0 \implies a=-5\)

Therefore, equation of best fit: \(f(x)=-5x^2+20x\)

When x = 0.5:

\(\implies f(0.5)=-5(0.5)^2+20(0.5)\)

                 \(=-1.25+10\)

                 \(=8.75\)

Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m

Answer:

Using the identity cot(x) = 1/tan(x), we can rewrite the given equation as:

1/tan(x - 10)° = tan (4x)°

Next, we can use the identity tan(-x) = -tan(x) to rewrite the right-hand side as:

tan(-4x)° = -tan(4x)°

Substituting this back into the equation, we get:

1/tan(x - 10)° = tan(-4x)°

Multiplying both sides by tan(x - 10)°, we get:

tan(-4x)° * tan(x - 10)° = 1

Using the identity tan(-x) = -tan(x), we can rewrite the left-hand side as:

-tan(4x)° * tan(x - 10)° = -1

Now, we can use the identity tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)*tan(b)) to rewrite the left-hand side as:

-(tan(4x)° - tan(x - 10)°)/(1 + tan(4x)° * tan(x - 10)°) = -1

Multiplying both sides by the denominator, we get:

tan(4x)° - tan(x - 10)° = 1 + tan(4x)° * tan(x - 10)°

Using the identity tan(a + b) = (tan(a) + tan(b))/(1 - tan(a)*tan(b)), we can rewrite the left-hand side as:

tan(4x + (10 - x))°/(1 - tan(4x)° * tan(x - 10)°) = 1 + tan(4x)° * tan(x - 10)°

Simplifying the expression on the left-hand side, we get:

tan(3x + 10)°/(1 - tan(4x)° * tan(x - 10)°) = 1 + tan(4x)° * tan(x - 10)°

Multiplying both sides by the denominator, we get:

tan(3x + 10)° = (1 - tan(4x)° * tan(x - 10)°) + (tan(4x)° * tan(x - 10)°) * (1 - tan(4x)° * tan(x - 10)°)

Expanding and simplifying the right-hand side, we get:

tan(3x + 10)° = 1 - tan(4x)° * tan(x - 10)° + tan(4x)° * tan(x - 10)° - tan^2(4x)° * tan^2(x - 10)°

Simplifying further, we get:

tan(3x + 10)° = 1 - tan^2(4x)° * tan^2(x - 10)°

Using the identity tan^2(x) = sec^2(x) - 1, we can rewrite the right-hand side as:

tan(3x + 10)° = sec^2(4x)° * sec^2(x - 10)° - 1

Now, we can use the fact that sec(x) = 1/cos(x) and simplify the right-hand side further:

tan(3x + 10)° = (1/cos^2(4x)°) * (1/cos^2(x - 10)°) - 1

Multiplying both sides by cos^2(4x)° * cos^2(x - 10)°, we get:

tan(3x + 10)° * cos^2(4x)° * cos^2(x - 10)° = 1 - cos^2(4x)° * cos^2(x - 10)°

Using the identity cos^2(x) = 1 - sin^2(x), we can rewrite the right-hand side as:

tan(3x + 10)° * cos^2(4x)° * cos^2(x - 10)° = sin^2(4x)° * sin^2(x - 10)°

Now, we can use the identity sin(2x) = 2sin(x)cos(x) to rewrite the left-hand side as:

2tan(3x + 10)° * cos(4x)° * cos(x - 10)° * sin(4x)° * sin(x - 10)° = sin^2(4x)° * sin^2(x - 10)°

Dividing both sides by sin^2(4x)° * sin^2(x - 10)°, we get:

2tan(3x + 10)° * cos(4x)° * cos(x - 10)° = 1

Using the identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b), we can rewrite the left-hand side as:

2tan(3x + 10)° * (cos(4x)° * cos(x)° + sin(4x)° * sin(x)°) * (cos(x)° * cos(10)° + sin(x)° * sin(10)°) = 1

Simplifying the expression, we get:

2tan(3x + 10)° * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + cos(4x)° * sin(x)° * sin(10)° + sin(4x)° * cos(x)° * sin(10)°) = 1

Using the identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can rewrite the last two terms as:

2tan(3x + 10)° * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + sin(x + 4x)° * sin(10)°) = 1

Simplifying the expression, we get:

2tan(3x + 10)° * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + sin(5x)° * sin(10)°) = 1

Using the identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b) again, we can rewrite the last term as:

2tan(3x + 10)° * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + cos(5x - 10)° * sin(10)°) = 1

Now, we can use the fact that tan(x) = sin(x)/cos(x) to rewrite the left-hand side as:

2(sin(3x + 10)°/cos(3x + 10)°) * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + cos(5x - 10)° * sin(10)°) = 1

Multiplying both sides by cos(3x + 10)°, we get:

2sin(3x + 10)° * (cos(4x)° * cos(x)° * cos(10)° + sin(4x)° * sin(x)° * cos(10)° + cos(5x - 10)° * sin(10)°) = cos(3x + 10)°

Using the identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b) again, we can rewrite the expression in the parentheses as:

cos(10)° * (cos(4x - x)° * sin(10)° + sin(4x)° * cos(x - 10)°) + sin(5x - 10)° * sin(10)°

Simplifying further, we get:

cos(10)° * (cos(3x)° * sin(10)° + sin(3x)° * cos(10)°) + sin(5x - 10)° * sin(10)°

Now, we can use the identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b) one more time to rewrite the last term as:

sin(5x)° * cos(10)° * sin(10)° - cos(5x)° * sin(10)° * cos(10)°

Substituting all these expressions back into the original equation, we get:

2sin(3x + 10)° * (cos(3x)° * sin(10)° + sin(3x)° * cos(10)° + cos(5x)° * sin(10)° * cos(10)° - sin(5x)° * cos(10)° * sin(10)°) = cos(3x + 10)° / cos(10)°

2sin(3x + 10)° * (cos(3x)° * sin(10)° + sin(3x)° * cos(10)° + cos(5x)° * sin(10)° * cos(10)° - sin(5x)° * cos(10)° * sin(10)°) = cos(3x + 10)° / cos(10)°

Multiplying both sides by cos(10)°, we get:

2sin(3x + 10)° * (cos(3x)° * sin(10)° + sin(3x)° * cos(10)° + cos(5x)° * sin(10)° * cos(10)° - sin(5x)° * cos(10)° * sin(10)°) * cos(10)° = cos(3x + 10)°

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Answer:

28, 56

56

Step-by-step explanation:

a

To solve this, we use the combination rule.

nCk = n!/k!(n-k)! where

n is the number of options (8) k is the number of slots (2).

Assuming the order doesn't matter, then

8C2 = 8! / 2!(8-2)!

8C2 = 8! / 2! 6!

8C2 = 40320 / 2 * 720

8C2 = 40320 / 1440

8C2 = 28

If the order does matter, then we use permutation instead.

nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!

8P2 = 40320 / 720

8P2 = 56

b

We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56