In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240

Answer:

It is the 3rd option

Step-by-step explanation:

Answer:

2.75 each pack

Step-by-step explanation:

13.75 divided by 5 =2.75

Answer:

Add 10 from both sides:

2d = 18

divide by 2

D = 9

Answer:

24/25

Step-by-step explanation:

Hello There

[tex]cos = \frac{adjacent}{hypotenuse} [/tex]

The adjacent of M is 24 and the hypotenuse is 25 so

[tex]cosm = \frac{24}{25} [/tex]

Answer:

cos M= base/hypotenuse=KM/LM=24/25

Answer:

2 and 5

Step-by-step explanation:

five plus two equals 7

Answer:

5 & 2

Step-by-step explanation:

X + y = 7

X × y = 10

Solve with the help of trial & error method.

Factors of 10 - 1, 5, 2, 10

Let's take 5 as X & 2 as y.

X + y = 7 --- 5 + 2 = 7

X × y = 10 --- 5 × 2 = 10

Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

the area is 34 in to that round up

Step-by-step explanation:

Answer:

you get 9/25

Step-by-step explanation:

formula for area of square

=s^2

plug in

3/5^2

calculate

you get 9/25

Hey there!

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.

We must solve 3/5 x 3/5.

3/5 x 3/5 = 0.36

The units we'll use is  because units are the unt we're given, and it is squared because it is the area of a shape.

Your final answer is 0.36 .

Hope this helps!

Answer:

4-6x=y2

Step-by-step explanation:

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Step-by-step explanation:

Mr. Linx wages = x

Mrs. Lynn wages = y

x + y = 32.50 (1)

35x + 37y = 1,172.50 (2)

From (1)

x = 32.50 - y

Substitute x = 32.50 - y into (2)

35x + 37y = 1,172.50

35(32.50 - y) + 37y = 1172.50

1137.5 - 35y + 37y = 1172.50

- 35y + 37y = 1172.50 - 1137.50

2y = 35

y = 35/2

y = 17.50

Substitute y = 17.50 into (1)

x + y = 32.50

x + 17.50 = 32.50

x = 32.50 - 17.50

x = 15

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Answer:

I think it is C) 480

Step-by-step explanation:

320÷2=160

160×3=480

Can I please have Brainliest?

There are 480 calories are in the 3-ounce size of the bar.

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Green Frog convenience store supplies two types of protein bars.

And, One protein bar has 320 calories in the 2-ounce size.

Now,

For 1 ounce size, calories in One protein bar = 320 / 2

                                                                  = 160

Hence, We get;

For 3 ounce size, calories in One protein bar = 160 x 3

                                                                      = 480

Thus, There are 480 calories are in the 3-ounce size of the bar.

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Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Answer:

Hope this helps! If I could have brainliest I'm trying to rank up :)

Step-by-step explanation:

1.x = 37.08 feet

Using the Pythagorean Theorem:

x^2 + 15^2 = 40^2

x^2 + 225 = 1600

x^2 = 1600 - 225

x^2 = 1375

x = SQRT(1375)

x = 5SQRT(55)

x = 37.08 feet

2.Using pathagorean it’s 16^2 + 24^2 = c^2

256 + 576 = 832

The answer is the sqrrt of 832

Which is 8sqrrt13 or 28.44  

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

Answer:

They have the same y-intercept of -6.

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Answer:

8

Step-by-step explanation:

40/5 = 8

56/7 = 8

64/8 = 8

Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

Answer:

third option down I'm 99% sure

The minimum number of moves required for a given number of disks.

We have given that,

The sequences are number of moves 1, 3, 7, 15, 31, 63,

2,2, 4, 8, 16, 32, 64,

Compare the two sequences.

Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

You can find any term in the sequence of moves using the formula

[tex]a_1=2^n-1[/tex]  

No one cares about the explanation good luck with your grade Bois.

The minimum number of moves required for a given number of disks.

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Answer:

Each term in the sequence of moves is 1

less than the corresponding term in the

sequence of differences.

You can find any term in the sequence of

moves using the formula

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

12 x 7 = 84

Answer:

84

Step-by-step explanation:

12÷ 1/7=84

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

x = 9.83

Step-by-step explanation:

Taking 55 as the reference angle,

hypotenuse (h) = 12

perpendicular (p) = x

Sin 55 = p/h

Sin 55 = x / 12

x = Sin55 x 12

x = 9.83