1092 flowers are arranged into 26 vases with the same number of flowers in each vase. How many flowers would be needed to fill 130 such vases?

Final answer:

To find the length of KD in ΔAKM, where KD is perpendicular to AM, and given AK = 6, KM = 10, and m∠AKM = 93º, we use trigonometry. Using the sine function, we determine that KD ≈ 9.99.

Explanation:

The question is about finding the length of KD, where KD is perpendicular from K to AM in triangle AKM, given AK = 6, KM = 10, and the measure of angle AKM is 93º. To solve this, we can use trigonometry, specifically the functions related to a right-angled triangle.

Since KD is perpendicular to AM, ΔAKD is a right-angled triangle at D. We can use the sine function, which is defined as the ratio of the length of the opposite side to the hypotenuse. In this case, α = m∠AKM, opposite = KD, and hypotenuse = KM.

Therefore, sine(α) = opposite/hypotenuse = KD/KM. Since we know that sine(93º) ≈ 0.999, KM = 10, we can find KD by rearranging the equation: KD = KM × sine(93º). Substituting the values gives KD = 10 × 0.999 ≈ 9.99.

Answer:

Solution is 1 (one).

Step-by-step explanation:

Answer:

The amount of money which she earn as commission after selling the house is $ 10,740 .

Step-by-step explanation:

Given as :

The selling price of the Mrs. Miller house = $ 179, 000

The percentage of commission which she earn = 6 % of the selling price

Let the amount of money she earn = $ x

Now, According to question

The amount of money she earn = 6 % of the selling price of house

I.e the amount of money she earn = [tex]\frac{6}{100}[/tex]×$ 179,000

Or, the amount of money she earn = 6 × 1790

∴ The amount of money which she earn as commission = $ 10,740

Hence The amount of money which she earn as commission after selling the house is $ 10,740 . Answer

Mrs. Miller earns a commission of $10,740 on selling a house for $179,000.

To solve this problem, we need to calculate 6% of $179,000. The commission amount can be found by multiplying $179,000 by 6% (or 0.06). So, the commission earned by Mrs. Miller would be $179,000 * 0.06 = $10,740. Therefore, Mrs. Miller earns $10,740 as her commission.

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Answer:

$69,600

Step-by-step explanation:

$14,500 in 5 months,

14,500/5=2,900

so he makes $2,900 each month,

1 year=12 months

2 years=24 months

-------------------------------------------------

2900*24=69600

so he expects to make $69,600 in two years.

Answer:

$69,600

Step-by-step explanation:

14,500/5=2,900

2,900x24=69,600

Answer:

1.748*10^16

Step-by-step explanation:

(3.8*10^7)(4.6*10^8)=1.748*10^16

Answer:

320, -1280

Step-by-step explanation:

r = -4

-5 , 20 , -80 , 320 , -1280

Final answer:

The next two terms of the geometric sequence (-5, 20, -80) are 320 and -1280, determined by multiplying each term by the common ratio of -4.

Explanation:

To find the next two terms of the given geometric sequence (-5, 20, -80), we need to determine the common ratio. We can calculate the common ratio by dividing the second term by the first term or the third term by the second term.

The common ratio (r) is:

r = 20 / (-5) = -4

r = (-80) / 20 = -4

Now that we know the common ratio is -4, we use it to find the next two terms by multiplying the most recent term of the sequence by the common ratio.

Fourth term: -80 × -4 = 320

Fifth term: 320 × -4 = -1280

The next two terms of the sequence are 320 and -1280.

If you want at least 3 pounds of hamburgers, then $6 is enough to buy those 3 pounds of hamburgers. If you ONLY buy 3 Pounds, then you also have enough for 4 pounds of chicken. $3 a pound x 4 = $12. You have 2 dollars left to spare, which means you can buy another pound of hamburgers. So 4 pounds each are able to be purchased.

Answer:

The growth at week 5 is 20 inches

Step-by-step explanation:

Topic: Arithmetic Progression

Given

From the table,

At Week 1: Total length = 4

At Week 2: Total length = 8

At Week 3: Total length = 12

There are two ways of solving this;

Method 1

Between each interval, the vine grows by 4 inches. This is supported by the calculation below

From week 1 to week 2; 8 - 4 = 4 inches

From week 2 to week 3; 12 - 8 = 4 inches

This means that; the vine will grow by 4 inches to week 4;

Hence, at week 4;

Total length = Week 3 + 4

Total length = 12 + 4 = 16

Similarly, the vine will grow by 4 inches to week 5;

Hence, at week 5

Total length = Week 4 + 4

Total length = 20 + 4 = 24

But this method is not always advisable because it'll be tedious to use for large data; hence the need for method 2

Method 1

Between each interval, the vine grows by 4 inches. This is supported by the calculation below

Here, we make use of arithmetic progression formula

[tex]T_{n} = a + (n - 1)d[/tex]

Take note of the following

a = First term = The growth at first week

a = 4

d = common difference = rate of growth

From week 1 to week 2; the rate of growth is 8 - 4 = 4 inches

From week 2 to week 3; the rate of growth is 12 - 8 = 4 inches

So, d = 4

n = nth term = 5; i.e the 5th week

Tn = the rate of growth at nth week;

In this case, Tn = 5

By substitution

[tex]T_{n} = a + (n - 1)d[/tex] becomes

[tex]T_{5} = 4 + (5 - 1)4[/tex]

[tex]T_{5} = 4 + 4 * 4[/tex]

[tex]T_{5} = 4 + 4 * 4[/tex]

[tex]T_{5} = 20[/tex]

Hence, the growth at week 5 is 20 inches

Answer:

D

Step-by-step explanation:

4(4)+3-5

16-2

14

Answer:

-4 • (x - 5) • (2x + 3)

Step-by-step explanation:

Answer:

I wasn't sure if it was a 8x^2 or a -8x^2. So I have done both.

The factor of -8x^2+28x+60 is -8(x^2-11).

The factor of 8x^2+28x+60 is 4(2x^2+7x+15)

Answer:

The first one considering you are starting at -7/11... no other number line starts at or goes beyond -7/11....

Answer:

The answer would be -3/10. Therefore, the only timeline that has -7/10, 4/10 and -3/10 is the first one.

Step-by-step explanation:

The answer to the problem is -3/10, as -7 + 4 is -3, and the 10 stays the same. The first timeline accommodates all of the numbers well, and you can see how you get the answer. Hope this helps!

Answer:

5cm

Step-by-step explanation:

its an equilateral triangle because all 3 angles are 60°

equilateral triangle's sides are all equal so its 5cm

15 groups

Step-by-step explanation:

boys can be split in 9 groups of 2 and the girls can be split in 6 groups of 2

adding this 9+6=15

Answer: For example, the polynomial which can also be expressed as has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Step-by-step explanation: (If this helps)

Answer:

Step-by-step explanation:

the answer is 2xy4 + 4x2y3 – 6x3y2 – 7x4

Answer:

D

Step-by-step explanation:

Range

Based on the data, this is an example of correlation and causation. Option A is correct

To give the conclusion to data collected showed an increase in ice cream sales.

Correlation is defined as the two things depends on each other.

Here,
People would like to buy ice cream in warm weather this statement is correlation and causation is people would like to by ice cream cause the increase in temperature.  

Thus, Based on the data, this is an example of correlation and causation.

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Final answer:

The increase in ice cream sales as the weather gets warmer is an example of correlation.

Explanation:

The best description for this situation is b.) Based on the data, this is an example of correlation. Correlation refers to a relationship or pattern between two variables. In this case, as the weather gets warmer, there is an increase in ice cream sales. However, correlation does not imply causation, meaning one variable does not cause the other. It is more likely that the warmer weather influences both the increase in ice cream sales and other factors that may affect sales.

The value of "y" is 3

Given that,

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

We have to solve for "y"

Let us simplify the given expression and solve for"y"

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

On cross multiplication in L.H.S we get,

[tex]\frac{12 y+4-12 y-1}{12}=\frac{y}{2}[/tex]

Cancelling denominator 12 from both sides, we get

12y + 4 -12y - 1 = y

Again cancelling +12y and -12y we get

4 - 1 = y

y = 3

Thus the value of "y" is 3

Answer:

69 feet.

Step-by-step explanation:

See the attached diagram.

AB is the height of the flagpole and DE is the height of Samantha.  

Now, ∠ CEB = 68°

Now, AC = DE = 4.6 feet, and CE = AD = 26 feet {Given}

Then, [tex]\tan 68 = \frac{CB}{CE} = \frac{CB}{26}[/tex]

⇒ CB = 26 tan 68 = 64.35 feet.

Now, height of the flagpole is AB = AC + CB = 4.6 + 64.35 = 68.95 feet ≈ 69 feet. (Answer) (Approximate}

Answer: $24.12

Step-by-step explanation:

1.8 * 13.4 = 24.12

Answer:

  6x -3x^4

Step-by-step explanation:

Eliminate parentheses. Since the multiplying coefficient is +1, the parentheses can simply be dropped:

  = 3x +2x^4 +3x -5x^4

Add like terms (ones with the same exponent on the variable).

  = 3x +3x +2x^4 -5x^4 . . . . . . . group like terms together

  = (3+3)x +(2-5)x^4

  = 6x -3x^4

Answer:

4 × 12=48

Step-by-step explanation:

A=Bh

48=4×12

48=48

Final answer:

To find the base and height of a parallelogram with an area of 48 square miles, apply the formula Area = Base x Height and then solve for the base and height values using the given area. In this case, the base and height would be 6 miles and 8 miles, respectively.

Explanation:

To find the base and height of a parallelogram, you can use the formula: Area = Base x Height. Given that the area is 48 square miles, and the parallelogram formula, you can find the base and height by solving the equation.

Given: Area = 48 square miles

Formula: Area = Base x Height

Plug in the Area value: 48 = Base x Height

Find the factors that multiply to 48 (e.g., 6 x 8)

The base and height would be 6 miles and 8 miles, respectively.

Answer:

11 small frames, 5 large frames

Step-by-step explanation:

small: x

large : y

x + y = 16

4x + 14y = 114

Multiply first equation by 4 and subtract.

4x + 4y = 64

-(4x + 14y = 114)

-10y = -50

y = 5

Substitute y into the first equation.

x + 5 = 16

x = 11

The percent decrease is 53%

Step-by-step explanation:

The percent decrease is given by:

[tex]Percent-Decrease = \frac{Old\ value-New\ value}{Old\ value} * 100[/tex]

Here

Old Value = 17.86 hours

New Value = 8.40 hours

So,

[tex]Percent-Decrease = \frac{17.86-8.40}{17.86}*100\\=\frac{9.46}{17.86}*100\\=0.5296*100\\=52.96\%[/tex]

Rounding off to nearest whole number

53%

So,

The percent decrease is 53%

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Answer:

1. 6

2. 36

3. 12

4. 30

5. 20

The graph that accompanies this question is in the figure attached.

Answer:

Explanation:

The assumption that Elena worked at a constant rate permits you to build a linear model for the the number of rows Elena completes (dependent variable) in function of the time spent knitting (independent variable).

The coordinates of the points shown on the graph are (14,19), (20,22), and (30,27), and you need to find how many rows had been completed before Elena started working.

The number of rows that had been completed before she started working is the number of rows for time equal 0, which is the y-intercept of the function that models the situation.

Then, what you need to do is to find the equation of the line, using two of the three given points, and then tell the y-intercept.

a) Find the slope, m:

b) Use one point (20, 22) to find the equation of the line:

The constant term of the slope-intercept equation, ie. 12, represents the y-intercept. Thus, your answer is 12.

Answer:

12

Step-by-step explanation:

Answer:

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

Time of Thomas flight delay = 1 5/6 hours

Time of normal flight = x hours

2. How long did the trip finally take?

For calculating how long the trip finally took, we need to do the following sum:

Time of normal flight + Time of delay

Like we don't know the time of the normal flight, we will define it as x, then:

x + 1 5/6 hours

x + 1 hour and 50 minutes ⇒ 5/6 of an hour = 5/6 * 60 minutes = 50 minutes

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.

The expression representing the perimeter of the rectangle with the longer side x and the shorter side 3 units less than the longer side is P = 4x - 6.

If the longer side of a rectangle is represented by the variable x, and the shorter side is 3 units less than the longer side, then the shorter side can be expressed as x - 3. The perimeter (P) of a rectangle is given by the formula P = 2L + 2W, where L is the length (the longer side) and W is the width (the shorter side). Plugging in the expressions for L and W in terms of x, the perimeter of the rectangle can be represented as P = 2x + 2(x - 3).

Simplifying this expression, we get P = 2x + 2x - 6, which simplifies further to P = 4x - 6.

Therefore, the expression that represents the perimeter of this specific rectangle is P = 4x - 6.

Answer:

about 6.3✔

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5+8 =3

-3-7=4

Answer 3.4

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

Answer:

$30,000 per year.

Step-by-step explanation:

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

Answer:

Explanation:

Half-life time of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

Where:

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

Therefore, the amount of polonium-210 that will be left in 330 days is: