Danielle has 3/5kg of beads. She shares the beads evenly between 5 friends.
How many Kilograms does each friend receive?

Answer:

Step-by-step explanation:

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Final answer:

To find the width of a rectangular state park with an area of 84 square miles where the length is 2 miles longer than twice the width, we set up a quadratic equation and solve for the width. The width of the park is 6 miles.

Explanation:

The question involves solving a quadratic equation to find the width of a rectangular state park where the length is 2 miles longer than twice its width, and the area is 84 square miles. To solve this problem, let's let w represent the width of the park.

According to the problem, the length l can be expressed as:

l = 2w + 2

The area A of a rectangle is given by the formula:

A = l × w

Substituting the given area and the expression for the length, we have:

84 = (w)(2w + 2)

Which simplifies to:

84 = 2w² + 2w

And further simplifies to:

0 = 2w² + 2w - 84

Dividing the entire equation by 2 to simplify:

0 = w² + w - 42

Now, we solve this quadratic equation for w, the width of the park. Using the quadratic formula or factoring (if possible), we find the positive value of w, which could be the width of the park since a width can't be negative:

w = 6

So, the width of the park is 6 miles.

Answer:

B: M

C: Side AB is 20ft

C: Perimeter = 96ft

Answer:

it is a rectangle because the shape has to coordinating sides and the y values on the top points are the same and that y values on the bottom points are also the same.

Step-by-step explanation:

hope this helps have a wonderful day

Answer:

W= 2.1

Step-by-step explanation:

The solution to the equation 1.5 = 0.6( w + 0.4 ) is w = 2.1.

Given the equation in the question:

1.5 = 0.6( w + 0.4 )

To solve the equation 1.5 = 0.6(w + 0.4) for "w," first apply distributive property:

1.5 = 0.6( w + 0.4 )

Distribute 0.6 on the right side of the equation:

1.5 = 0.6(w) + 0.6(0.4)

Simplifying, we get:

1.5 = 0.6w + 0.24

Subtract 0.24 from both sides of the equation:

1.5 - 0.24 = 0.6w + 0.24 - 0.24

1.5 - 0.24 = 0.6w

1.26 = 0.6w

0.6w = 1.26

To solve for "w", divide both sides by 0.6:

0.6w / 0.6 = 1.26 / 0.6

w = 1.26 / 0.6

w = 2.1

Therefore, the value of w is 2.1.

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The value of x is 3.

Solution:

In the given triangle, a = 4, b = 3, x = ? and y = 2.25.

To find the value of x:

The image of the formula is attached below.

Angle bisector theorem:

An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

[tex]$\frac{a}{b}=\frac{x}{y}[/tex]

[tex]$\frac{4}{3} =\frac{x}{2.25}[/tex]

Do cross multiplication.

9 = 3x

Divide by 3 on both sides,

3 = x

Switch the sides.

x = 3

The value of x is 3.

Answer:

you could graph y = 1.5x and y=60, then the intersection at (40,60) represents the solution of the equation.

Answer:

4 1/2

Step-by-step explanation:

x/6 = 15/20

Cross multiply

X x 20 = 6 x 15

20x = 90

Divide both sides by 20

x = 90/20

x = 9/2

x = 4 1/2

Answer:

23

Step-by-step explanation:

Sum of angles = (n - 2) x 180

3780 = (n - 2) x 180             Divide both sides by 180

21 = n - 2

+ 2     + 2                              Add 2 to both sides

23 = n

The shape has 23 sides.

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The polygon having the sum of the interior angles 3780° have 23 sides.

The inner of the two angles formed where two sides of a polygon come together is called the interior angle.

Given that, the sum of the interior angles of a polygon is 3780, we need to find the number of sides of the polygon,

We know that,

The formula for calculating the sum of interior angles is (n-2) × 180° where is the number of sides.

Therefore,

3780° = (n-2)×180°

n-2 = 3780° / 180°

n-2 = 21

n = 21+2

n = 23

Hence, the polygon having the sum of the interior angles 3780° have 23 sides.

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Answer:

$225 of birthday money

Step-by-step explanation:

he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.

The amount of money Mr. Thompson received for his birthday, work backwards from how much he donated to charities after spending 1/5 on dog treats, resulting in $300.

To find out how much money Mr. Thompson received for his birthday, we will work backwards from the information given.

Let's assume he received x amount of money for his birthday.

He spent 1/5 of it on dog treats, so he spent (1/5)x on dog treats.

The remainder after buying the dog treats is (4/5)x.

Since he divided this among 3 charities, each charity received $60, so [tex](\frac{4}{5} )x = 3*60.[/tex]

Solving this equation, we find x = $300.

Hence, Mr. Thompson received $300 for his birthday.

Answer:

3 meters

Step-by-step explanation:

Area of a Triangle

= 1/2 x b x h

Given

Base Length b = 2.5 meters

Area = 3.75 square meters

Height h = ?

Therefore

3.75 = 1/2 x 2.5 x h

3.75 = 2.5/2 x h

3.75 = 1.25 x h

Divide both sides by 1.25

3.75/1.25 = 1.25/1.25 x h

3 = h

h = 3 meters

The sail is 3 meters tall

Answer:

4

Step-by-step explanation:

5.728 rounds up to 6 because it is greater than 5.50 and 2.317 rounds down to 2 since it is less than 2.5. 6 - 2 = 4.

Final answer:

To estimate the difference between 5.758 and 2.317, you round 5.758 up to 6 and 2.317 down to 2, and then subtract to get an estimated difference of 4.

Explanation:

The student is asking how to estimate the difference between two numbers by rounding them to the nearest whole number before subtracting.

To estimate the difference between 5.758 and 2.317, we first round each number to the nearest whole number:

5.758 rounds up to 6 because the first digit after the decimal (7) is greater than 5.

2.317 rounds down to 2 because the first digit after the decimal (3) is less than 5.

After rounding the numbers, we perform the subtraction:

6 - 2 = 4

Therefore, the estimated difference is 4.

Answer:

5.2683 x 10^4

Step-by-step explanation:

hope that help

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

[tex]y= 1.6x+ 21.5[/tex]

We put x = 30

[tex]y(30)= 1.6(30)+ 21.5\\y(30) = 69.5[/tex]

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

[tex]y = mx + c[/tex]

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

Answer:

y=x+7

Step-by-step explanation:

y-7=1(x-0)

y-7=x-0

y=x+7

Answer:

y=x+7

Step-by-step explanation:

You need a slope that is opposite the slope of equation y=-x-5. To do this you need to find the opposite reciprocal. For -1, the opposite reciprocal would be 1. So, your slope is going to be 1.

You need the line to pass through (0,7), which is a point on the y axis. b in y=mx+b is the y-intercept. So, you would make 7 your b.

By plugging in these numbers you end up with y = x + 7

Answer:

x = 2.5 y = 5

Step-by-step explanation:

Image and pre image are similar figures

4/2 = 5/x

x = 5/2 = 2.5

4/2 = (y+1)/3

6 = y+1

y = 5

Answer:

The answer is the second one because it is less than or equal to 35

Answer:

Second one

Step-by-step explanation:

Answer:

The measure of the arc CD = 64°

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2(4x - 4.25) + 2(7x +7)

Answer: The expression can be written as Perimeter = 22x + 5.5

Step-by-step explanation: The perimeter of a rectangle is given as 2(L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.

Inserting the values of the length and the width, the perimeter can now be properly written as,

Perimeter = 2(L + W)

Perimeter = 2( {7x + 7} + {4x - 4.25} )

By collecting like terms we now have

Perimeter = 2(11x + 2.75)

Perimeter = 22x + 5.5

Answer:

3/9

Step-by-step explanation:

Final answer:

Compound interest is the concept discussed in this question. It refers to the interest calculated on both the initial principal amount and any accumulated interest from previous periods.

Explanation:

The subject of this question is Mathematics. Specifically, it relates to the concept of compound interest. Compound interest is the interest that is calculated on both the initial principal amount and any accumulated interest from previous periods. In this case, Angela is choosing between having $1,000 now or investing it in a savings account to have $1,050 a year from now. The $50 earned is the result of the interest earned on the initial $1,000.

Answer:

Mount Everest is taller by 9,688 ft.

Step-by-step explanation:

Find the difference between the heights.

29,028 - 19,340 = 9,688

Answer:

$8.80

Step-by-step explanation:

Answer:

$8.80

Step-by-step explanation:

110% is the whole cost plus 10%. you have you're cost at 8$ add 10% and that is 80 cents.

Answer: kluczem część 3

Step-by-step explanation:

zadania z tych stron 4

Answer:

First, you know that a triangle has 180° total. So, you take 180-38-25 and that equals 117. So the corner inside the triangle is 117. So a straight line is also equal to 180. You take 180-117 and that is 63. 4x+3 = 63. You subtract 3 from both sides and get 4x = 60. To get x by itself you divide by 4 and x = 15.

Set contain all the elements present in both the sets.

Step-by-step explanation:

Definition:

The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.

Consider, A  and B be the sets.

A =  {1,7,5,6,0}

B = {2,3,4,5,6}

U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}

Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.

Answer:

f(-2) = 2

Step-by-step explanation:

I'm assuming "-6x2" is actually "6x^2"

f(x) = -6x^2 - 5x + 4

Plug in -2 for the x's

f(-2) = -6(-2)^2 - 5(-2) +4

f(-2) = -6(2) - 5(-2) + 4

f(-2) = -12 + 10 + 4

f(-2) = -12 + 14

f(-2) = 2

Solution:

Given that,

Jim earned $700 this week

This was $20 less than four times the amount he earned last week

To find: amount of money Jim earned last week

Let "x" be the amount of money Jim earned last week

From given,

Jim earnings this week = $20 less than four times the amount he earned last week

Therefore,

700 = 4x - 20

Thus the equation is found

Answer:

490 ft^2

Step-by-step explanation:

Base: 14 × 7 = 98 (×4 = 392)

Square faces: 7 × 7 = 49 (×2 = 98)

Add: 392 + 98 = 490

Answer:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

b. For what number of posters is the cost the same for both companies?

c. Which company do you think the class should buy posters from?

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

What factors influenced your decision?

Explanation:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

Clear prints

Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):

Sue

Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:

The equations fhat Ichiro could use to calculate the cost for any number of posters, are:

b. For what number of posters is the cost the same for both companies?

Solve the system: equate both equations:

Conclusion: For 10 posters the cost is the same for both companies.

c. Which company do you think the class should buy posters from?

It depends on the budget and the number of posters desired.

You can calculate the range in which the cost is lower by one company of the other.

You already know that if you are ordering 10 posts, the cost is the same for both companies.

How much is that cost? Compute Cost (10):

What happens if the number of posters is less or greater than 10.

Solve an inequality:

Hence,

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

In this case the decision is driven by the buget.

How may posters can the class order to pay $18?

With Clear Prints:

With Sue:

Then, with a budget of $18, the class should buy posters from Clear Print.

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Repeat the calculations:

For Clear print:

For Sue:

With a budget of $38 the class can buy more posters from Sue.

What factors influenced your decision?