The ratio of boys to girls at a winter dance is 5 to 6. If there are 90 girls,how many boys are at the dance?

Answer:

Step-by-step explanation:

i. y = 60 ÷5

The correct expression would be 5y = 60, so 12  sheets of paper do Andre's notebooks contain.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Each notebook contains 60 sheets of paper. Andre has 5 notebooks.

We need to find the number of sheets of paper do Andre's notebooks contain.

Therefore, using unitary method

60 sheets of paper = 5 notebooks.

y  sheets of paper = 5y/ 60 notebooks.

= 60/5 = 12

The answer is 5y = 60

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

The sum of the series is -4.

Step-by-step explanation:

Step 1:

The symbol Σ is called sigma and it is used to sum all the values in it.

The lower limit is 3 while the upper limit is 6.

So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.

Step 2:

Now we the values of k are substituted and values are determined.

When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]

When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]

When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]

When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]

Step 3:

Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to

[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]

So the sum of the given series is -4.

Answer:

Step-by-step explanation:

Let's say we have 2x-y=4, and 4x-3=5y. So, elimination is basically what the name is. You eliminate one variable by subtracting and then plug in that variable to find the other one. So,

4x-3=5y

2x-y=4

Multiply 2x-y=4 by 2, to make it equal to the x value in the top.

4x-3=5y

-

4x-2y=8

Now, you can subtract the equations. You Eliminate the 4x, then you get

-3-2y=5y-8

Then you solve for y

y=7/5

then you plug y into the equation

4x-3 = (7/5)5

4x-3=7

4x=10

x=5/2

And you have your solution ----> (5/2, 7/5) is where the lines intersect.

Hope that helps!

Answer:

Step-by-step explanation: B

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

Answer:

15

Step-by-step explanation:

1+2+3+4+5 = 15

Answer:

x-22

Step-by-step explanation:

The expression representing the value 22 less than x is x - 22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given statement is that 22 is less than x. The expression will be written as below,

E = 22 less than x

E = x - 22

Therefore, the expression representing the value 22 less than x is x - 22.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Answer: X= 39

please mark brainliest

Step-by-step explanation:

102+39= 141

180-141 =39

it has to equal to 180 degrees

Answer:

2000

Step-by-step explanation:

2000 is closer than 3000.

Answer:

Step-by-step explanation:

to prove that 1/ (sec x - tan x) = sec x + tan x

from the right hand side sec x + tan x =

from trigonometry basics  

sec x = 1/ cos x

tan x = sin x/ cos x

so, sec x + tan x =  1/ cosx + sinx/ cosx

finding the lcm

= (1+ sinx)/cos x

= (1 + sinx) cosx/ cos²x

= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)

( 1 + sinx) cancels the (1- sinx)  at the denominator

so we have;

= cos x/ 1 -sinx

1/1/cosx - sinx/cosx

remember that 1/ cos x = sec x

and also sinx/cos x = tan x

so therefore we have 1/ sec x - tanx

since LHS = RHS  then we can say that 1 / sec x - tan x = sec x + tan x.

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

Answer:

-4 +3x = -2

Step-by-step explanation:

the equation will give x = 2/3

3x = -2 +4

3x = 2

x = 2/3

brainliest please :)

When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0

To create a subtraction equation with one variable that has a solution of  2/3 , follow these steps:

Step 1: Define a variable. Let's use x as the variable.

Step 2: Formulate the equation using subtraction. The equation should represent a situation where when 2/3  is subtracted from a number, the result is zero.

Mathematically, the equation can be written as:

x - (2/3) =0

Step 3: To verify that x - (2/3) is the solution, solve the equation by isolating the variable x.

x=2/3

This equation represents a subtraction scenario where 2/3 is subtracted from x resulting in zero. When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0

Complete Question:

Write the equations described below.a subtraction equation with one variable that has a solution of 2/3.

Answer:

Laptop= $3250 Desktop = $2900

Step-by-step explanation:

L= D+350

7%D+6%I = 398

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

Answer (1.04x=2. X=30103/.017033= 17.673

Answer:

Step-by-step explanation:

(1.006)^7x

First subtract 8 from 8 and -40 because it is even.

Then divide -48 by 12, which equals -4.

Hope this helped! If it didn't, tell me what went wrong or confused you.

Answer:

The answer is x=-4

Step-by-step explanation:

-40=12x+8

-8          -8

-48=12x

-48/12=x

-4=x

Answer:

either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.

Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.

Final answer:

The Sears Tower has 110 stories. We found this by setting up an equation with the given information and solving for the number of stories in the Sears Tower.

Explanation:

To find out how many stories the Sears Tower has, we need to set up an equation using the information provided.

We know that Hong Kong's tallest building (International) is 88 stories tall, and the combined height of all the buildings stacked on top of each other is 300 stories. Let's assign the variable S to represent the number of stories in the Sears Tower and E to represent the number of stories in the Empire State Building. According to the question, the Sears Tower is eight stories taller than the Empire State Building, so we can express this relationship as S = E + 8.

Now, let's add up the stories of all three buildings: Hong Kong's International + Sears Tower + Empire State Building = 300. Substituting the given information and our variable S, we get the equation 88 + S + (S - 8) = 300.

Let's solve this equation:

Therefore, the Sears Tower has 110 stories.

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{If\ you're\ trying\ to\ find\ out\ what\ gives\ you\ 38\ then\ let's solve\ for\ it.}[/tex]

[tex]\large\text{38\ has\ FOUR \ factors: \ 1 , 2 , 19 , 28}[/tex]

[tex]\mathsf{So, now\ that\ we\ have\ the\ factors\ let's\ answer\ the\ question!}[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{2\times19}}}\mathsf{\ =38 }[/tex]   [tex]\checkmark[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{1\times38}}}\mathsf{\ \ =30}[/tex]  [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{19\times2}}}\mathsf{\ = 38}[/tex]     [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{38\times1}}}\mathsf{ \ = 38}[/tex]    [tex]\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}\huge\text{\dag}[/tex]

Answer:

18 square feet

Step-by-step explanation:

the table was most likely 6 by 6 before getting cut. that is an area of 36 you could half that making 18 or make one of the 6s a 3 so it is 3 by 6 after the table is cut.

Answer: 9

Step-by-step explanation:

1/2 * -12= -6

5*-3= -15

-15- (-6)=  -9

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

So this is an inverse relationship. We can write this as:

[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

Answer: x=46

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

There are 180 degrees in a straight angle. Take 134 and subtract it from 180 to get your answer of 46 degrees.

Answer:

Step-by-step explanation:

That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)

Answer:

9yz(5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz(5y+4z+2)

And that's our answer.

Answer:

3

Step-by-step explanation:

Three more than the product of a number and 4 is 15.

3 + (x * 4) = 15

Multiply x by 4

3 + 4x = 15

Subtract 3 from both sides of the equation

4x = 12

Divide both sides of the equation by 4

x = 3

3

Hope this helps :)

Answer:

3

Step-by-step explanation:

Let the number be A

3 more than the product of A and 4 is 15

That’s

3 + (A x 4 ) = 15

3 + 4A = 15

Subtract 3 from both sides

3 - 3 + 4A = 15 - 3

4A = 12

Divide both sides by 4

A = 12/4

A = 3

Answer:  [tex]Total\ number\ of\ people=70[/tex]

Step-by-step explanation:

For this exercise let "m" represents the total number of men at the meeting.

You know that the total number of people at the meeting represents de 100% of the people there.

According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:

[tex]100\%-40\%=60\%[/tex]

As you can notice, 60% of the perople are women.

Then,  knowing that the number of women is 42, you can set up the following proportion:

[tex]\frac{42}{60}=\frac{m}{40}[/tex]

Solve for "m" in orde to find its value:

[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]

Therefore, the total number of people at the meeting  is:

[tex]Total\ number\ of\ people=42+28=70[/tex]

Answer:

100 degrees C.

Step-by-step explanation:

100 degrees C

The 'size' of the unit is the same.

0 degrees K to 100 degrees K is equivalent to:

-273 degrees C to - 173 degrees C.

Answer: 2

x+x=8-2

2x=4

Divide:

4/2=2

x=2

Answer: 5 and 3

Step-by-step explanation:

From the question,

Let the first number be x

And the second be y

x + y= 8

x- y= 2

Add the equations

x + y + x - y = 8 + 2

2x= 10

x=5

Slot the value of x into any of the equations: x +y = 8

5+ y= 8

y= 8 - 5

y = 3