The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many seahorses are there.

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

[tex]\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3[/tex]

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

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Answer:

B is the answer. ........

Answer:

B

Step-by-step explanation:

it intercepts the y line at -1 and the rise over run is 3

Answer:

3R

Step-by-step explanation:

Answer: 4,690.33

Step-by-step explanation:

The formula for calculating amount is given by :

A = P [tex](1+r)^{n}[/tex]

Where :

A = amount = ?

P = Principal = 3500

r = rate = 0.05

n = number of years  = 6

substituting the given values into the formula , we have

A = 3500[tex](1+0.05)^{6}[/tex]

A = 3500 [tex](1.05)^{6}[/tex]

A = 3500 (1.340095640625)

A = 4690.3347421875

A = 4,690.33

Final answer:

To calculate Colin's investment with compound interest after 6 years, we use the formula for compound interest and determine that he will have £4690.33 to the nearest penny.

Explanation:

To calculate how much Colin will have after 6 years with compound interest, we use the formula for compound interest:

A = P(1 + r/n)nt

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

In Colin's case, we have:

P = £3500

r = 5% or 0.05

n is not mentioned, so we assume it is compounded once per year, thus n = 1

t = 6 years

Plugging these values into the formula:

A = £3500(1 + 0.05/1)1×6 = £3500(1 + 0.05)6

A = £3500 × (1.05)6 = £3500 × 1.340095

A = £4690.3325

To the nearest penny, Colin will have
£4690.33 after 6 years.

Answer: He left a 27.27272727% tip

Answer:

$24.75  

Step-by-step explanation:

Find the unit rate for 1 gallon, to dothis divide $22 by the 8 gallons of gas. 22/8 is $2.75. now that we know the unit rate, multiply it by 9 for our answer. 2.75*9=24.75,the cost for 9 gallons.

Trevin puts 8 gallons of gas in his car and pays $22. The cost of 9 gallons of gas at this rate is $24.75

Word problems in mathematics involve a careful understanding of the question. It is usually written or expressed in one or more sentences and it requires pupils to apply their arithmetic skills to a real-life issue.

From the information given:

i.e

We are to determine the rate he will pay for 9 gallons. i.e.

From the above two expressions, by cross multiplying, we have:

[tex]\mathbf{x = \dfrac{9 \ gallons \times \$22 }{8 \ gallons}}[/tex]

x = $24.75

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Expression that gives the ticket cost in dollars for a group of g girls and b boys is (8g + 8b) dollars

Solution:

Given that tickets to play cost $ 8 each

To find: Expression that gives the ticket cost in dollars for a group of g girls and b boys

From given,

cost of 1 ticket = $ 8

Number of girls = g

Number of boys = b

Thus the expression can be framed for total cost as:

Total cost = (number of girls + number of boys)(cost of 1 ticket)

[tex]Total\ Cost = (g + b) \times 8\\\\Total\ Cost = 8g + 8b[/tex]

Thus the expression that gives total cost is (8g + 8b) dollars

Answer:

(4+1+2)3= 21

Step-by-step explanation:

you add the cost of snacks then multiply by 3 because there are 3 people to get total cost.

Answer:

4+4+4+1+1+1+2+2+2=25

Answer:

what is the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the candy bar is just one

Giving 1/4 of it to her younger sister make her left with 3/4 of the candy bar i.e 1 - 1/4 = 3/4

Then giving 1/3 of the left over to her elder sister it becomes 3/4 * 1/3 =1/4

Then the remaining candy bar will be 3/4 - 1/4 = 1/2

Then she will be left with 1/2 i.e half of the candy bar.

Answer:

x=11

Step-by-step explanation:

since ad bisects bac, bad=dac

32=3x-1

+1    +1

3x=33

/3    /3

x=11

Answer:

x = -43/6

Step-by-step explanation:

To solve this equation, you solve for 'x' by isolating it. This means to move every other number to the other side of 'x'. You can move numbers when they 'cancel' out by doing the opposite (Adding and subtracting are opposites. Dividing and multiplying are opposites).

[tex]\frac{3x-2}{6}-\frac{4x+1}{4} = 3[/tex]

[tex]\frac{3x-2}{6}*\frac{2}{2}-\frac{4x+1}{4}*\frac{3}{3} = 3[/tex]     Multiply each fraction by a fraction that equals '1'. (2/2 = 1 and 3/3 = 1). This will give them a common denominator.

[tex]\frac{(3x-2)*2}{6*2}-\frac{(4x+1)*3}{4*3} = 3[/tex]     Multiply

[tex]\frac{(6x-4)}{12}-\frac{(12x+3)}{12} = 3[/tex]

[tex]\frac{(6x-4)-(12x+3)}{12}= 3[/tex]     Combine the fractions with the same denominator

[tex]\frac{(6x-4)-12x-3}{12}= 3[/tex]     Subtract binomials. -(12x+3) is -12x-3

[tex]\frac{6x-4-12x-3}{12}= 3[/tex]     Remove unnecessary brackets

[tex]\frac{-6x-7}{12}= 3[/tex]     Combined like terms.

[tex]\frac{-(6x+7)}{12}= 3[/tex]     Factor out the negative in the top.

[tex]-(6x+7)= 3*12[/tex]     Multiplied both sides by 12

[tex]-(6x+7)= 36[/tex]     Simplified right side

[tex]6x+7= -36[/tex]     Divided both sides by -1

[tex]6x= -36-7[/tex]     Subtract 7 from both sides

[tex]6x= -43[/tex]     Simplified right side

[tex]x= \frac{-43}{6}[/tex]     Divided both sides by 6. Answer in fraction form.

x = 7.166..67     Answer in decimal form

Therefore x is -43/6 or about 7.17.

Answer:

250x^26/y^9

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Equivalent fractions are fractions that have the same value or represent the same part of an object. If a pie is cut into two pieces, each piece is also one-half of the pie. If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4.

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication. For example if we compare 1/2 and 2/4, we would multiply 1/2 by 2/2 which would result in 2/4 so they are equivalent.

To compare 1/2 and 3/7 we would multiply 1/2 by 3/3 to produce 3/6. Since 3/6 is not the same as 3/7, the fractions are not equivalent.

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...

Fractions equivalent to 1/3 are 2/6, 3/9, 4/12, 5/15, ...

Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20, ...

Fractions equivalent to 1/5 are 2/10, 3/15, 4/20, 5/25, ...

Fractions equivalent to 2/5 are 4/10, 6/15, 8/20, 10/25, ...

Answer:2/4 3/6 4/8 5/10 6/12

Answer:

12

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Okun's law says that a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

Option D is correct.

Since, According to Okun's law a country's gross domestic product (GDP) must grow at about a 4% rate for one year to achieve a 1% reduction in the rate of unemployment.

So, if the unemployment rate goes from 6% to 2%, that is reduce by 4%

Therefore, GDP is increase by 4(4 %) = 16 %

Thus, most appropriate answer is option D, that is GDP will increase by 11% .

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Answer:

Circumcenter O (0.5 , 5)

Step-by-step explanation:

Circumcenter O (x , y)

OA = OB = OC

OA² = (x + 4)² + (y - 3)²

OB² = (x - 5)² + (y - 7)²

OC² = ( x + 4)² + (y - 7)²

OA² = OC² : (x + 4)² + (y - 3)² = ( x + 4)² + (y - 7)²

(y - 3)² = (y - 7)²        y² - 6y + 9 = y² -14y + 49

8y = 40

y = 5

OB² = OC² : (x - 5)² + (y - 7)² = ( x + 4)² + (y - 7)²

x² - 10x + 25 = x² + 8x + 16

18x = 9

x = 0.5

Circumcenter O (0.5 , 5)

1. The possible solution for x + y is 8 ⇒ d

2. The possible solution for m - n is 16 ⇒ a

Step-by-step explanation:

Lets explain some notes about the even numbers

1.

∵ x and y are both even whole numbers

∴ Their sum is even whole number

∵ 5 and 9 are odd numbers ⇒ impossible

∵ 4.6 is not a whole number ⇒ impossible

∵ 8 is an even whole number ⇒ possible

∴ x + y could be 8

The possible solution for x + y is 8

2.

∵ n and m are both even whole numbers

∵ m > n

∴ m - n must be positive even whole number

∵ 1/2 is not a whole number ⇒ impossible

∵ 0 is not a positive number ⇒ impossible

   (zero is not positive nor negative)

∵ -2 is not a positive number ⇒ impossible

∵ 16 is a positive even whole number ⇒ possible

∴ m - n could be 16

The possible solution for m - n is 16

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Given the function [tex]f(x)[/tex]

[tex]f(x)+k[/tex] — will shift the graph vertically by k

[tex]f(x-k)[/tex] — will shift the graph horizontally by k

[tex]kf(x)[/tex] — will stretch the graph vertically by k

[tex]f(kx)[/tex] — will stretch the graph horizontally by k

Answer:

Step-by-step explanation:

Answer:

20 + 10w = total cash saved

Answer:

187 people

Step-by-step explanation:

340 people multiplied by 0.45 or 45% is 153. Subtract 153 from 340 and you get 187 people.

Answer:

187 people

Step-by-step explanation:

340 people multiplied by 0.45 or 45% is 153. Subtract 153 from 340 and you get 187 people.

The perimeter of original garden is 42 feet

The perimeter of enlarged garden is 82 feet

Solution:

The perimeter of rectangle is given as:

Perimeter = 2(length + width)

Given that,

The garden is rectangular with width 6 feet and length 15 feet

Length = 15 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(15 + 6)

Perimeter = 2(21)

Perimeter = 42

Thus perimeter of original garden is 42 feet

The new garden will be similar to the original one, but will have a length of 35 feet.

Length = 35 feet

Width = 6 feet

Therefore, perimeter is given as:

Perimeter = 2(35 + 6)

Perimeter = 2(41) = 82

Thus perimeter of enlarged garden is 82 feet

Answer: 3

Step-by-step explanation:

10 had sprinkles and 2 did not which mean there are 12.

So would it be 3 that not have a sprinkles?

I think so.