There are 40 people at a party. If 8 boys leave and 2 girls come, then the number of boys will be equal to the number of girls. Find the initial number of boys and girls.

Answer: 11x + 5y

Step-by-step explanation:

FInd the perimeter by adding all the expressions together.

4x + 5x +  2.8y  + 2x  + 2.2y  Combine like terms

(4x + 5x + 2x)  + (2.8y + 2.2y)

11x + 5y

You have to write all the information, add the x and y and you will have the simple form.

I hope it helped you

Answer:         2.5

Step-by-step explanation:

Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{60}{360}[/tex]

   = π × 5² × [tex]\frac{1}{6}[/tex]

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

[tex] \frac{theta}{360} \times \pi {r}^{2} [/tex]

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

[tex] \frac{60}{360} \times \frac{22}{7} \times {5}^{2} [/tex]

[tex] \frac{1}{6} \times \frac{22}{7} \times 25[/tex]

[tex] \frac{1}{6} \times \frac{25 \times 22}{7} [/tex]

[tex] \frac{1}{6} \times \frac{550}{7} [/tex]

[tex] \frac{550 \times 1}{6 \times 7} [/tex]

[tex] \frac{550}{42} [/tex]

[tex]13.1 \: cm {}^{2} [/tex]

Answer:

[tex]r=0.07[/tex]

Step-by-step explanation:

From the question we are told that

An offer of 2$ in 11 years on every dollar

Generally we make use of this formula

[tex]F=P(1+r/100)^t[/tex]

where

[tex]f=Future value[/tex]

[tex]P= present value[/tex]

[tex]r=Rate[/tex]

[tex]t=time[/tex]

Mathematically solving  for the rate

     [tex]2=1(1+r/100)^1^1[/tex]

    [tex](2)^1^/^1^1=(1+r/100)[/tex]

    [tex](1+r/100=1.0650[/tex]

     [tex]r=(1.0650-1) *100[/tex]

     [tex]r=0.07[/tex]

Generally this shows that the account give an annual rate of 0.07

Step-by-step explanation:

(3 + 2i)(1 + iy)

= 3 + (3y + 2)i - 2y (because i² = -1)

For this to be real, (3y + 2) = 0. => y = -2/3

For this to be imaginary, y can be any real or complex number (except -2/3)

Answer:

sometimes

Step-by-step explanation:

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term: [tex]a_1=5[/tex]

Second term: [tex]a_2=3[/tex]

Common difference is

[tex]d=a_2-a_1[/tex]

[tex]d=3-5[/tex]

[tex]d=-2[/tex]

Now, the explicit formula for an arithmetic sequence is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

[tex]a_n=5+(n-1)(-2)[/tex]

It can also be written as

[tex]a_n=5-2n+2[/tex]

[tex]a_n=7-2n[/tex]

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is [tex]a_n=5+(n-1)(-2)[/tex] or [tex]a_n=7-2n[/tex] and domain is all interest greater than or equal to 1.

Answer:

The y-intercept should be (0, 6)

Answer:

please mark me brainliest and follow me my friend.

Answer:

4/5

Step-by-step explanation:

32/40

Both can be divisible by 4

32 ÷ 4 = 8

40 ÷ 4 = 10

8/10

8 and 10 can be simplified again by 2

8 ÷ 2 = 4

10 ÷ 2 = 5

4/5

This cannot be simplified anymore, to check just divide.

32/40 = 0.8

4/5 = 0.8

The simplified form of 32/40 is 4/5.

To simplify the fraction 32/40, we can find the greatest common divisor (GCD) of the numerator (32) and denominator (40) and divide both by that value.

The GCD of 32 and 40 is 8. By dividing both the numerator and denominator by 8, we can simplify the fraction:

32 ÷ 8 = 4

40 ÷ 8 = 5

Therefore, the simplified form of 32/40 is 4/5.

Learn more about fraction at https://brainly.com/question/78672

#SPJ6

Answer:

6. Second choice, 51

7. Second choice, 3

Step-by-step explanation:

6. Multiply 255 with 1/5 = 255/5 = 51 times

7. 1/400 mutiply with 1200 = 1200/400 = 3

Answer:

Area of circle = 31.4 cm²

Step-by-step explanation:

Given the following data;

Diameter, d = 10 cm

π = 3.14

Area of a circle is given by the formula;

πd

Substituting into the equation, we have;

Area of circle = 3.14 * 10

Area of circle = 31.4 cm²

Answer:

We have 2 2/3 ( 3/4s) in 2

Step-by-step explanation:

How many 3/4s are in 2? Write a multiplication equation and a division equation that can be used to answer the question.

a) Multiplication equation

= 2 × 4/3

= 8/3

= 2 2/3

b) Division Equation

= 2 ÷ 3/4

= 2 × 4/3

= 8/3

= 2 2/3

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

Answer:

56

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{7}{10}[/tex]· 80 wore shorts; this equals 56

of the 56, 3/7 wore tank tops; 56 · [tex]\frac{3}{7}[/tex] = 24

Answer:

its C

Step-by-step explanation:

Answer: it would be B, here a picture for you to understand it

Step-by-step explanation: Hope you see the picture and hope this help

Answer:

130 grams

Step-by-step explanation:

1:13

10:130

Answer:5

Step-by-step explanation:

Step-by-step explanation:

even though it is not the only thing that has to do with it all in

-10<0

-4<-3

Step-by-step explanation:

if you are talking about what is greater than this is the answer

Answer: -10<0 -4<-3

Step-by-step explanation:-10 is less than 0 because negative(-)means that number less than 0. -4 is less than -3 because even though it’s a higher number it’s negative.

Answer:

The other number is 20.

Step-by-step explanation:

[tex]\frac{10 + x}{2} = 15[/tex]

Multiply each side by 2.

[tex]10 + x = 30[/tex]

Subtract 10 from each side.

[tex]x = 20[/tex]

There you go!

Answer:

No. i looked it up XD sorry if its wrong if right please give me brainliest

Answer:

No

Step-by-step explanation:

We can check with the Pythagorean Theorem.

a^2 + b^2 = c^2

  a and b are always the smaller sides, the legs

  c is the longer side, the hypotenuse

3^2 + 3^2 >  6^2

9 + 9 > 36

18 < 36

18 is not greater than 36, therefore this triangle can not have the side lengths 3, 3, and 6.

Step-by-step explanation:

3/2=x/1

3=2x

x=3/2

x=1.5

so the unit rate of price per melon is 1.5

Answer:

Step-by-step explanation:

unit rate is another way of saying  "slope of the line"

3/2 is the slope of the line..just from inspection of the graph

1.5  is another way to say  3/2  and that's how me might normally say the cost of one watermelon... it's a  $1.50 so the unit rate is 1.5 units.. and here the units are dollars

Answer:

C

Step-by-step explanation:

I think the correct answer would be C since you are using lines and angles but I am not 100 percent sure. Also because A and B wouldn't make since because it is adding.

Answer:

4.

Step-by-step explanation:

A and D are opposite.

A is in the negative side and d is in the positive side.

Answer:(–7)  hope that helps

Step-by-step explanation:

Answer: A

1.67       5

Step-by-step explanation: