Kim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to the square root of the number of tulips. If the total number of flowers in the bouquet is 20, find the number of tulips.

5
16
20
4

Answers

Answer 1

Answer:

16

Step-by-step explanation:

So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.

So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

Answer 2

Answer:

Option B is the correct answer.

Step-by-step explanation:

She used x tulips and some daffodils in the bouquet.

The number of daffodils is equal to the square root of the number of tulips.

[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]

The total number of flowers in the bouquet is 20

That is

             [tex]x+\sqrt{x}=20[/tex]

Solving

         [tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]

Total number is less than 20 so 25 is not possible

Number of tulips used = 16

Option B is the correct answer.


Related Questions

Classify the triangle by its sides and by its angles (picture)

Answers

Answer:

It is A for sure because all of the angles are acute so yes A

The correct answer is a

The distance d (in feet) a penny falls from the window of a building is represented by d = 16t^2 where t is the time (in seconds) it takes for a penny to hit the ground. How long does it take for the penny to hit the ground when it falls from a height of 400 feet?

Answers

Answer:

5 seconds

Step-by-step explanation:

d = 16t^2

You are given the distance, d, and you need to find the time, t. Replace d with the given distance, 400 ft.

d = 400

400 = 16t^2

Switch sides.

16t^2 = 400

Divide both sides by 16.

t^2 = 25

Take the square root of both sides.

t = 5

Answer: 5 seconds

It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The distance d (in feet) a penny falls from the window of a building is represented by ;

[tex]d = 16t^2[/tex]

where t is the time (in seconds) it takes for a penny to hit the ground.

d = 400

[tex]400 = 16t^2\\\\16t^2 = 400\\t^2 = 25\\t = 5[/tex]

Therefore, It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

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Harold bought 20 toys for his nieces and nephews. The least expensive toy cost $6.19, and the most expensive toy cost $9.81. Which is the best estimate for the total amount Harold spent on the toys he bought for his nieces and nephews?

Answers

Answer:

160 dollars

Step-by-step explanation:

So you would add 6.19 and 9.81 together. Then divide it by 2.  You would get 8. Then multiply it by 20 and you would get 160 dollars

a bag contains 7 red marbles, 9 white marbles, and 5 blue marbles. randomly choose two marbles, one at a time, and without replacement. find the following. enter your answers as fractions or decimals rounded to three decimal places

Answers

Answer: could you please be more clear..?

Step-by-step explanation:

Final answer:

The probability of drawing a red marble followed by a blue marble, without replacement, is approximately 0.083.

Explanation:

The question is about probability in a scenario where there's no replacement after each draw. The total number of marbles is 7 (red) + 9 (white) + 5 (blue) = 21 marbles. If we are to draw two marbles without replacement, the total outcomes reduce by 1 with each draw.

Let's say we want to find the probability of drawing a red marble and then a blue marble. The probability of drawing a red marble on the first draw is 7/21. After drawing a red marble, we are left with 20 total marbles, so the probability of drawing a blue one is 5/20. Therefore, the probability of these two events happening in sequence is calculated by multiplying the separate probabilities: (7/21) * (5/20) = 7/84 ≈ 0.083.

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if Jason has 4 cats and gets 10 morehow much does he have now?​

Answers

Answer:14

Step-by-step explanation: 4+10=14

Answer: 4 + 10 = 14. So, the answer is 14 cats

Solve this system of linear equation.Separate the x- and y-values with comma. 4x+9y =-3 8x+12y=12

Answers

Answer:

(x,y)= (-3,1)

Step-by-step explanation:

4x + 9y = -3  => eq(i)

8x + 12y = 12  => eq(ii)

We need to solve these equations to find the values of x and y.

Multiply eq (i) with 2 and then subtract both equations

8x + 18y = -6  

8x + 12y = 12

-     -          -

__________

6y = -18

y= -18/6

y = -3

Putting value of y in eq(i)

4x + 9y = -3

x = -3

4(-3) + 9y = -3

-12 + 9y = -3

9y = -3+12

9y= 9

y= 9/9

y = 1

So, the value of x = -3 and y = 1

(x,y)= (-3,1)

only answer if you know 100%!!

Solve and graph the inequality.
3n -10 ≥ 2

Answers

First you should simplify the inequality and get n by itself:

3n - 10 ≥ 2      Add 10 on both sides

3n ≥ 12       Divide 3 on both sides

n ≥ 4

When the sign is ≤ or ≥ (less/greater than or equal to), the line is a solid line.

When the sign is < or >, the line is a dotted line.

If the variable is > than the function (like y > 3x + 2, or x > 2y²) The shaded area is above the line (or going in the positive direction)

If the variable is < than the function (like x < 2, or x < 5z - 7), The shaded area is below the line.

Since we got n ≥ 4,

If n is an x value, or n = x, you would have a horizontal line at y = 4, but if n is a y value, n = y, you would have a vertical line at x = 4. The shaded area should be above the line, or to the right of the line since n is > 4. (Sorry, I don't know if n = y or n = x, hope this clarified things)

Answer:

n ≥4

Step-by-step explanation:

3n -10 ≥ 2

Add 10 to each side

3n -10+10 ≥ 2+10

3n ≥12

Divide by 3

3n/3 ≥12/3

n ≥4

The diameter of a circle is 4 feet what is the area?

Answers

Answer: 12.96

Step-by-step explanation:

3.14 or pi * radius ^2

3.14 *2^2

12.96

Can someone help me with problem 4 and also tell me if they think the rest is correct !!! Please

Answers

Answer:

k=(-7y+11)/4

Step-by-step explanation:

Given

11(k-1)= 7(k-y)

In order to find the value of K we have to separate k on one side, so

Multiplying 11 and 7 into the brackets on both sides

11k-11=7k-7y

Subtracting 7k on both sides

11k-11-7k=7k-7y-7k

11k-7k-11= -7y

Adding 11 to both sides

4k-11+11= -7y+11

4k= -7y+11

4k=-7y+11

k=(-7y+11)/4

So the value of K is (-7y+11)/4.

Classifying quadrilaterals

Answers

Answer:

A quadrilateral is a polygon with four sides.

Practicly anything with 4 sides like square, Rectangle ,and rhombas

Im sorry if i didn't answer your question but i did not get what you were saying but here is an image that can maybe help you

The quadrilateral has includes 7 types that are parallelogram, rhombus, kite, rectangle, trapezoid, square, and isosceles trapezoid.

Quadrilaterals:

The quadrilateral is a four-sided polygon having four angles.

Types of quadrilaterals:

A parallelogram has parallel pairs at opposite ends.The rectangle is a parallelogram with 4 right angles. Contrary to popular opinion, which isn't true for all quadrilaterals and parallelograms, they are rectangles.A parallelogram with 4 congruent sides is known as a rhombus. It possesses all of the qualities of a parallelogram, including diagonal intersections at right angles.A square is a rhombus that also happens to be a rectangle. The parallelogram has 4 (congruent sides and right angles).A trapezoid is a quadrilateral with one parallel pair of sides.An isosceles trapezoid is a trapezoid with congruent non-parallel sides.A four-sided polygon with no congruent sides is known as a scalene quadrilateral.

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Given: f(x) = x - 7 and h(x) = 2x + 3

Write the rule for h(f(x)).


Answers

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

h(f(x)) is a "composite function."  We use the function f(x) as the input to the function h(x):

h(x) = 2x + 3, or 2( x ) + 3; replacing x with f(x), or x - 7, we get:

h(f(x)) = 2(x - 7) + 3, or

h(f(x)) = 2x - 14 + 3, or

h(f(x)) = 2x - 11

Answer: h(f(x)) = 2x - 11

Step-by-step explanation:

Graph 4x2+4y2=64. What are the domain and range?

Answers

ANSWER

EXPLANATION

The given equation is

[tex]4 {x}^{2} + 4 {y}^{2} = 64[/tex]

We divide through by 4 to obtain;

[tex]{x}^{2} + {y}^{2} = 16[/tex]

This can again be written as:

[tex]{x}^{2} + {y}^{2} = {4}^{2} [/tex]

This is the equation of a circle centered at the origin with radius 4 units.

The graph is shown in the attachment.

Answer:

Domain: [-4,4]

Range : [-4,4]

Step-by-step explanation:

Given equation is [tex]4x^2+4y^2=64[/tex].

Now we need to graph and find about what are domain and range of the given problem.

[tex]4x^2+4y^2=64[/tex]

divide both sides by 4

[tex]x^2+y^2=16[/tex]

[tex]x^2+y^2=4^2[/tex]

Which looks similar to the formula of circle

[tex]x^2+y^2=r^2[/tex]

that means it is a circle with radius 4. whose centre is at the origin.

From graph we can easily see that

Domain: [-4,4]

Range : [-4,4]

A bag contains the following fourteen marbles. Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble? Express the probabilities in fraction form. P(green) = P(red) = P(green and red) =

Answers

Answer:

P(green) = ⇒ 5/14

P(red) = ⇒ 2/14

P(green and red) = ⇒ 5/98

The probabilities are P(green) = [tex]\frac{5}{14}[/tex], P(red) = [tex]\frac{1}{7}[/tex] and P(green and red) = [tex]\frac{5}{98}[/tex].

The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.

In this case, Deepak is choosing two marbles one after the other with replacement, which means after drawing the first marble, he puts it back into the bag before drawing the second one.

The probability of drawing a green marble first is the number of green marbles divided by the total number of marbles, which is [tex]\frac{5}{14}[/tex].Since the first marble is replaced, the total number of marbles in the bag remains 14 when drawing the second marble. So, the probability of drawing a red marble second is the number of red marbles divided by the total number of marbles, which is [tex]\frac{2}{14} = \frac{1}{7}[/tex].

Since these are independent events (drawing the first marble does not affect the probability of drawing the second), the probability of both events happening is the product of their individual probabilities.

So, the probability that Deepak will choose one green marble and then one red marble is [tex]\frac{5}{14} *\frac{1}{7} =\frac{5}{98}[/tex].

Complete Question:

A bag contains fourteen marbles. There are 4 purple marbles, 3 blue marbles, 5 green marbles, and 2 red marbles. Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble? Express the probabilities in fraction form.

9. Jonathan can rent an unfurnished apartment for
$600 per month or a furnished apartment for $190
per week. He will need to pay a one month deposit,
plus a $350 security deposit for the unfurnished
apartment. He will need to purchase furniture, which
he has found for $850. Which is the better deal if
Jonathan plans to stay 1 year?


A. unfurnished apartment
B. furnished apartment​

Answers

Final answer:

The cost of the unfurnished and furnished apartments for 1 year would be $8,650 and $9,880 respectively. Therefore, the unfurnished apartment is the better deal for Jonathan.

Explanation:

The cost for the unfurnished apartment for one year would be $600 (monthly rent) * 12 (months) + $600 (one month deposit) + $350 (security deposit) + $850 (furniture cost) = $8,650.

The cost for the furnished apartment for one year would be $190 (rent per week) * 52 (weeks in a year) = $9,880.

Therefore, the unfurnished apartment offers a better deal for Jonathan if he plans to stay for 1 year.

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Which of the two solids below are similar ?

A. I and II
B. I and II
C. II and II
D. I, II and I
E. None of the solids are similar.

Answers

Answer:  I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

[tex]\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}[/tex]

[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]

Corresponding sides ratio of solids I and III:

[tex]\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}=\frac{5}{8}[/tex]

Corresponding sides ratio of solids II and III:

[tex]\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}[/tex]

[tex]\frac{4}{9}=\frac{4}{9}=\frac{5}{12}[/tex]

 You can observe that the solids  I and II are similar.

The point has A has coordinates (-4, 6) and point B has coordinates (7, -2)
Calculate the length of the line AB (pls show working)

Answers

Final answer:

To find the length of line AB, the distance formula √((x2 - x1)² + (y2 - y1)²) is used, with coordinates substituted. The calculated distance is approximately 13.6 units.

Explanation:

To calculate the length of the line AB, we use the distance formula which is derived from the Pythagorean theorem. The formula is:

d = √((x2 - x1)² + (y2 - y1)²)

Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.

Now, let's substitute the given coordinates into the distance formula:

d = √((7 - (-4))² + (-2 - 6)²)

d = √((7 + 4)² + (-8)²)

d = √(11² + (-8)²)

d = √(121 + 64)

d = √185

d ≈ 13.6

The length of the line AB is approximately 13.6 units.

A cell phone plan costs $23.70 per month for 700 minutes of talk time. It costs an additional $0.06 per minute for each minute over 700 minutes. To get e-mail access it costs 20% of the price for 700 minutes of talk time. Your bill wich includes e-mail is the same each month for 6 months. The total cost for all 6 months is $195.12. Write and solve an equation to find the minutes of talk time you use each month.


Your equation is...

195.12=6(0.06m+23.70+0.20(23.70))


You use_____ minutes talk time each month









Answers

Final answer:

The equation can then be solved to find the value of 'm', representing the minutes of talk time. In this case, the answer is 68 minutes of talk time each month.

Explanation:

To find the minutes of talk time you use each month, we can set up an equation based on the given information. Let's assume that the number of minutes of talk time you use each month is represented by 'm'.

The total cost for all 6 months is $195.12, which is equal to the sum of the monthly costs. Each month, the cost of the cell phone plan is $23.70 for 700 minutes of talk time, plus an additional $0.06 per minute for each minute over 700 minutes. Additionally, to get email access, it costs 20% of the price for 700 minutes of talk time.

Based on this information, the equation is: 195.12 = 6(0.06m + 23.70 + 0.20(23.70))

To solve the equation, we can simplify it: 195.12 = 6(0.06m + 23.70 + 4.74)

195.12 = 6(0.06m + 28.44)

Divide both sides of the equation by 6, we get: 32.52 = 0.06m + 28.44

Subtract 28.44 from both sides of the equation, we get: 32.52 - 28.44 = 0.06m

4.08 = 0.06m

Divide both sides of the equation by 0.06, we get: m = 68

Therefore, you use 68 minutes of talk time each month.

Final answer:

After setting up the equation based on the total cost for 6 months, we calculate that the user talks for a total of 768 minutes each month. This includes the 700 minutes in the plan and an additional 68 minutes of talk time.

Explanation:

To solve for the number of minutes of talk time used each month, we first set up an equation based on the information given. The total cost for 6 months is $195.12 which includes the monthly plan cost, the additional cost per minute after 700 minutes, and the email cost which is 20% of the 700 minutes talk time plan.

The equation, therefore, is 195.12 = 6(0.06m + 23.70 + 0.20(23.70)), where m is the number of minutes used over 700. Let's solve the equation step-by-step:

Start with the original equation: 195.12 = 6(0.06m + 23.70 + 0.20 × 23.70).Calculate 20% of 23.70 which is 0.20 × 23.70 = 4.74.Add the monthly plan cost and the e-mail access cost: 23.70 + 4.74 = 28.44.Substitute the sum into the equation: 195.12 = 6(0.06m + 28.44).Distribute the 6: 195.12 = 0.36m + 170.64.Subtract 170.64 from both sides: 195.12 - 170.64 = 0.36m, which simplifies to 24.48 = 0.36m.Divide by 0.36 to find m: m = 24.48 / 0.36 = 68.

Therefore, you use 68 minutes over the 700 included minutes, which means you use a total of 700 + 68 = 768 minutes of talk time each month.

a square swimming pool has a cement sidewalk around it. The sidewalk is the same width all the way around. The outside perimeter of the sidewalk is 80 feet. What is the width of the sidewalk if the area of the pool is 225 square feet?​

Answers

Final answer:

To solve this problem, we find the side length of the square pool, find the inner perimeter of the sidewalk, and then calculate the difference between the outer and inner perimeters. The width of the sidewalk is 5 feet.

Explanation:

This is a Mathematics problem that involves some knowledge of geometry. Firstly, let's inspect the given information: The square swimming pool’s area is 225 square feet. Since the pool is square, the side length of the pool can be found by taking the square root of the area: √225 = 15 feet. So, the inside perimeter of the sidewalk is 60 feet (4*15).

However, the outside perimeter of the sidewalk is 80 feet. The difference between the outside and the inside perimeter (80 – 60) is 20. That value is twice the width of the sidewalk because the sidewalk extends around all four sides. Therefore, each side of the sidewalk must cover extra 5 feet (20 / 4). So, the width of the sidewalk is 5 feet.

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A leading dental journal claims that 73% of young adults do not brush their teeth regularly. A dental hygienist wants to conduct a survey to verify this with her young adult patients, and wants to do so with a margin of error (ME) of ± 7%. What minimum sample size, rounded to the nearest whole person, does the hygienist need to use?

A.)N ≥ 161
B.)N ≥ 200
C.) N ≥ 322
D.) N ≥ 158

Answers

A.)> 161 is the answer

sara buys a sweater at a department store the sweater costs $30 the store is having a 25% off sale on everything in the store. enter the amount od money in dollars sara saves from the sale do not consider the sales tax

Answers

Answer:

$7.50

Step-by-step explanation:

Sara buys a sweater that costs $30

The store is having a 25% off sale.

To figure out what 25% is you do 25/100, which will give you 0.25,

Multiply 0.25 by $30

You should get $7.50.

The answer is $22.50.

Hope this helps!

Solve the system of equations using addition.
4x –y = –6
5x + y = –21


What is the solution of the system?

A. (3,6)
B. (6,3)
C. (–6,–3)
D. (–3,–6)

Answers

4x - y = -6 ....(1)

5x + y = -21 ....(2)

(1) + (2)

9x = -27

x = -3

from (1)

4 * -3 - y = -6

we solve

y = -6

so the answer is

D ( - 3 , - 6 )

The solution to the system of equations is (-3, 6), which corresponds to option D, by using the elimination method to first find x = -3 and then substituting it back to find y = 6.So,option D is correct.

To solve the system of equations using addition (also known as the elimination method), we start with the two given equations:

4x - y = -6

5x + y = -21

Adding these equations together allows us to eliminate the y variable:

4x - y + 5x + y = -6 - 21

Combining like terms, we get:

9x = -27

Dividing by 9 to solve for x:

x = -3

Next, we substitute x = -3 into one of the original equations to solve for y. Using the first equation:

4(-3) - y = -6

-12 - y = -6

y = -6 + 12

y = 6

The solution of the system is the pair (-3, 6), which corresponds to option D.

As a quick check, we can substitute x = -3 and y = 6 into both original equations to ensure they satisfy both equations. Doing this confirms that the solution is correct.

Holly had $5,000 in her bank account. She withdrew $800 to buy a new bike. What is the percent decrease in the balance of her account? The percent decrease is 1.6%. The percent decrease is 16%. The percent decrease is 84%. The percent decrease is 120%.

Answers

16% is the most accurate answer

16% is the answer to this question

what is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

a) 1
b) 2
c) 3
d) 4​

Answers

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

[tex]\frac{ar^3}{ar}[/tex] = [tex]\frac{54}{6}[/tex] = 9

r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3 → C

The answer would be C.

A rule of thumb refers to______

A. Rules everyone follows

B. A set process people follow

C. A general rule most people follow

D. A way to measure growth

Answers

Answer: C. A general rule most people follow

Step-by-step explanation: A rule of thumb is a principle with broad application that is not intended to be strictly accurate or reliable for every situation.  

Final answer:

The term 'rule of thumb' refers to a general rule or principle that people often follow, based on practical experience and wisdom. It isn't universally true for all situations but serves as a useful guideline.

Explanation:

A rule of thumb generally refers to an option C, which is a general rule that people tend to follow, but it isn't necessarily universally true or applicable to every situation. It's a guideline or heuristic that helps simplify or solve problems, based on practical experience rather than theory.

For example, a common rule of thumb in cooking may be that 'one cup of uncooked rice serves two people'. However, this may vary depending on the individuals' appetites, age, and more.

So, from options given, a rule of thumb most closely aligns with 'C: A general rule most people follow'.

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A, B, C, OR IS IT D pls answer

Answers

What is your question

What is the question

Simplify the following expression.
2x^2-9-17x^2+10+7x

Answers

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

PLEASE HELP
WILL MARK MOST-BRAINLY-EST

Evaluate 9 C 4

3,024
24
1,008
126

Answers

Answer:

126

Step-by-step explanation:

Using the definition of n [tex]C_{r}[/tex] = n! / r ! (n - r) !

where n ! = n(n - 1)(n - 2) ........ × 3 × 2 × 1

9 [tex]C_{4}[/tex]

= 9 ! / 4 ! 5 ! ← cancel 5 ! on numerator/ denominator

= [tex]\frac{9(8)(7)(6)}{4(3)(2)(1)}[/tex]

= [tex]\frac{3024}{24}[/tex]

= 126

Answer:

126 mayihavebrainly

Step-by-step explanation:

zack runs in 500 meter race in each of his last three track meets. how many kilometers in all did the run in those three meets?

Answers

Answer: 1.5 kilometers.

Step-by-step explanation:

You need to make the conversion from 500 meters to kilometers.

It is important to remember that:

[tex]1\ kilometer=1,000\ meters[/tex]

Then, 500 m to km is:

[tex](500\ m)(\frac{1\ km}{1,000\ m})=0.5\ km[/tex]

Now you know that he ran 0.5 kilometers in each of his last three track meets.

To calculate the total amount of kilometers ran in those three meets, you need to multiply 0.5 kilometers by 3. Then:

[tex]Total=(0.5\ km)(3)\\Total=1.5\ km[/tex]



By the Triangle Inequality Theorem which set of side lengths could create a triangle?
A) 4, 8, 2
B) 5, 9, 6
C) 6, 8, 16
D) 10, 4, 3

Answers

Answer: B

Step-by-step explanation:

the sum of any two sides is bigger than the third side... so 5+9= 14, bigger than 6. 5+6=11, greater than 9. 9+6=15, bigger than 5.

Answer:

B

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

So, let's test each of the points:

A) We have the points: 4, 8, 2. If we sum 4 and 2, the result is 6. Which is not greater than the third side which is 8. So it does not qualify for a triangle.

B) We have the points 5, 9, 6. If we sum 5+6 = 11 which is greater than 9. The sum of any two sides from this set is greater than the third side. It could create a triangle.

C) We have the points 6, 8, 16. If we sum  6+8 = 14 which is not greater than the third side 16. So it could not create a triangle.

D) we have the points 10, 4, 3. If we sum 4+3 = 7 which is not greater than 10. For that reason, it could not create a triangle.

The owner of a furniture store decides to reduce the price of a sofa from $800 to $560. By what percentage was the price of the sofa reduced?

Answers

The percentage that the store has taken off would be 30%.

The price of the sofa was reduced by 30%.

To calculate the percentage reduction in price:

Find the difference between the original price and the reduced price: $800 - $560 = $240.

Calculate the percentage decrease: ($240 / $800) x 100% = 30%.

Therefore, the price of the sofa was reduced by 30%.

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