In the triangle below, what is the length of the side opposite the 60° angle?

Answer:

Let the initial number of boys and girls be 600 and 800 respectively, so that

(no. of boys) : (no. of girls) = 6:8.

Final number of boys (Fb) = 600+ 20% of 600 = 720

Final number of girls(Fg)  = 800+ 10% of 800 = 880

The new ratio = Fb / Fg = 720 / 880 = 9/11 = 9:11

So, the new ratio will be 9 : 11

Answer:

$7.20

Step-by-step explanation:

$36.00 for 5 items.

Divide $36.00 by 5 to find the price of 1 item.

$36/5 = $7.20

Answer:

28

Step-by-step explanation:

7*4

Answer:

detailed one

Please mark as the BRAINLIEST

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Answer: ik 2/3 Ian one but don’t know about the others

Answer:

Step-by-step explanation:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

The total cost of the fabric is $ 78

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pairs of butterfly wings = 13 pairs

The amount of fabric used in 1 pair of butterfly wings = 3/4 yards

The cost of 1 yard of fabric = $ 8

Now , the equation will be

The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric

                                                = 3/4 x 8

                                                = 3 x 2

                                                = $ 6

Now , the equation is

The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric

The total cost of fabric for 13 pairs of butterfly wings = 13 x 6

                                                                                       = $ 78

Therefore , the cost is $ 78

Hence , The total cost of the fabric is $ 78

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Answer:

  1.  a certificate of deposit

  2.  multiply the principal by the interest rate and time

Step-by-step explanation:

1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.

__

2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)

A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.

A CD in the financial sense is a certificate of deposit.

When calculating interest earned on a CD, you multiply the principal by the interest rate and time.

This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.

The formula for calculating the total amount earned on a CD is:

[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]

Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.

Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

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rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

Answer: Your answer is C, 72 degrees.

Step-by-step explanation:

A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.

Answer:

121.92 cm cubed

Step-by-step explanation:

all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate

Answer:

1/36 cubic ft

Step-by-step explanation:

4 inches = 12/3 inches = 1/3 ft

2 inches = 12/6 inches = 1/6 ft

6 inches = 12/2 inches = 1/2 ft

Answer:

Answer:

i think its 16

Step-by-step explanation:

Answer:

16.0

Step-by-step explanation:

Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:

15.968194227

Look at the number directly right of the given term. Note that:

If the digit is 5 or greater, round up.

If the digit is 4 or less, round down.

Since the digit is 6, round up.

15.968194227 rounded to the nearest tenth is 16.0

~

Answer:

math

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.

  1 cherry and 7 sweet potato for $114   ⇒   C +7S = 114

  14 sweet potato and 11 cherry for $309   ⇒   11C +14S = 309

Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.

These equations match Option 4.

__

The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:

  (11C +14S) -2(C +7S) = (309) -2(114)

  9C = 81 . . . . . simplify

  C = 9 . . . . . . . divide by 9

The cost of each cherry pie is $9.

Answer:

C

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

588.50

Step-by-step explanation:

11.00 x 40 = 440

16.50 x 9 = 148.5

Answer:

Step-by-step explanation:

[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]

Follow PEMDAS order of operation

[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]

Answer:

762

Step-by-step explanation:

We need to use BODMAS method

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

__________________

Workout

First Brackets

- (3 + 4) = 7

Then multiplication

18 x 2 = 36

36 x (3 + 4) = 36 x 7 = 252

252 x 3 = 756

Lastly Adding

756 + 6 = 762

Answer = 762

___________________

Hope you understand

:-)

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.

Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.

Hence, the integer that represents a loss of 750 points is -750.

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Answer:

n=1/3

Step-by-step explanation:

Answer:

There’s no error

Step-by-step explanation:

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

Answer:

Your search - Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form. Degree 7; zeros: -7, i, 3-1, -6i - did not match any image results.

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Answer:

1) [tex]f'(t)=4t,\ g'(t)=3t^2+4[/tex]

2) [tex]p(t) =2t^5+8t^3[/tex]

[tex]p'(t)=10t^4+24t^2[/tex]

3) False

4)[tex]q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

5) False

Step-by-step explanation:

Given that:

[tex]f(t) = 2t^2[/tex] and [tex]g(t) = t^3 + 4t[/tex]

Formula:

[tex]1. \dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}[/tex]

1) Using above formula:

[tex]f'(t)=2\times 2 t^{2-1}=4t[/tex]

[tex]g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4[/tex]

2) [tex]p(t) =2t^2(t^3+4t)[/tex]

Rewriting the formula by distributing the [tex]2t^2[/tex] term:

[tex]p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

3) By using answers of part (1):

[tex]f'(t).g'(t)=12t^3+16t[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

Therefore it is False that [tex]p'(t) = f'(t).g'(t)[/tex]

4) [tex]q(t)=\dfrac{t^3+4t}{2t^2}[/tex]

Writing by distributing:

[tex]q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

Using the formula:

[tex]q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

(5)By using answers in part (1):

[tex]\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

Therefore, it is False that:

[tex]q'(t)=\dfrac{g'(t)}{f'(t)}[/tex]

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c    ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c      ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

Answer:670000

Step-by-step explanation:

Rounding 673738 to the nearest ten thousand is 670000

The place value of the number 673738 from the right is given below:

8 stands for unit

3 represents tens

7 represents hundreds

3 represents tens thousands

7 represents ten thousands

6 represents hundred thousands

Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.

In conclusion, rounding 673738 to the nearest ten thousand is 670000.

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