The girls at a student dance outnumbered the boys by 14. Altogether there
were 102 students at the dance. How many boys and how many girls were
present at the dance? Define two variables and then set up two equations. Solve
using either substitution or elimination.

Answers

Answer 1

Answer:

58 girls

44 boys

Step-by-step explanation:    

102 divided by 2= 51                              have to divide, 14 divided by 2 = 7

51 - 7= 44

51 + 7= 58

58 + 44= 102

according to my calculations hope i helped ^_^

and also 58 -44= 14 is the difference between them


Related Questions

twelve is no more than the sum of -1.5 times a number w and 4

Answers

Answer:

w < -5.33333

Step-by-step explanation:

Step 1: Write inequality

12 < -1.5w + 4

Step 2: Solve for w

Subtract 4 on both sides: 8 < -1.5wDivide both sides by -1.5: -5.3333 > wRewrite: w < -5.33333

Here we see that any value smaller than -5.3333 will work.

What is the product of the expression (-2.2)(1.5)(-4.2)

Answers

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

I need help ASAP please and thank you.

Answers

Answer:

35

Step-by-step explanation:

(-5)(-7) is a multiplication problem, so you would multiply -5 and -7 together to get 35 as two negatives make a positive

2t + 8 is greater than or equal to -4 ( t + 1 ), whats the answer to the equation?

Answers

Step-by-step explanation:

2t + 8 > - 4( t + 1)

2t + 8 > - 4t - 4

2t + 4t < - 4 +8

6t < 4

Divide both sides by 6

T < 4

6

t < 2

3

I think that is the answer

Hope it helps :)

Please be careful about the sign

From January to June, there are more daylight hours as June approaches.
What is the dependent variable?

Answers

Answer:

The daylight depends on the month so daylight is the dependent and the months are independet

Step-by-step explanation:

Help me and explain please I’m struggling

Answers

Angle A = 34°

Because we know that angle AEB and BED are equal to 90°
And we know angle EBC is bisected by line BD which means the angle measures of EBD and BDC are congruent.
First we need to figure out the angles in the triangle on top, triangle EBD and we already know 2 angle measures know, 28° and 90° so we subtract those two numbers from 180 to get 62°
(The reason we subtract from 180 is because the angle measure of a triangle all together equal 180)
And based on what we said earlier (the angle measures of EBD and BDC are congruent.) the angle EBD and BDC are both equal to 62°. This means angle EBC is equal to the sum of 62 and 62, 124°. And EBC + EBA= 180° because it’s a straight angle. So to get angle EBA we subtract 124 from 180 to get 56°.
Now we can find a we just need to subtract 56 and 90 from 180, when we do that we get 34 which means that angle A is 34°

— 3х - 6 +(-1)
Helpp
Can anybody help me?

Answers

Answer:

[tex] - 3x - 5[/tex]

it should be this answer bcause it has been simplified

The sum of 3 consecutive integers equals -3. What are the 3 integers?

Answers

Answer: 0, -1, -2

The sum of three consecutive integers is -3. So, we must find three consecutive numbers that total to -3.

The numbers can be 0, -1, and -2 because these are consecutive numbers.

So, the answer is 0, -1, and -2. Hope this helps you!

Identify the domain and range of the following function:
{(8,7),(4,9),(0,0),(1,17)}

Answers

Answer:

Domain: 8,4,0,1

Range: 7,9,0,17

What is 18.75 divided by 1 and 1/2

Answers

Answer:  12.5

18.75/1 ½ = 12.5

Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*

Answers

Answer:

The area of the triangle DEF is 10.

Step-by-step explanation:

Area of a Triangle:

A triangle of base B and height H (both must be perpendicular) has an area of:

[tex]\displaystyle A=\frac{BH}{2}[/tex]

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.

This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:

B=3-(-2)=3+2=5

Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.

H=2-(-2)=4

With these two values, we calculate the area:

[tex]\displaystyle A=\frac{5*4}{2}=10[/tex]

The area of the triangle DEF is 10.

please help i really need this ill give brainliest if its correct

Answers

Answer: I'm pretty sure it's D.

Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.

225(3)


(3)(–225)


–225 + 3


3 – 225

–225(3)


(3)(–225)


–225 + 3


3 – 225


–225(3)

Answers

Answer:

(3)(-225) and -225(3).

Step-by-step explanation:

First, since ¨in debt¨ is describing negative value, all of the expressions that have positive 225 is incorrect. Also, since the term ¨triple¨ is describing multiplcation, any expression that does not have multiplication is also incorrect. This process of elimination leads to two answers, which both are correct.

Answer:

A. 225(3)

B. (3)(–225)

C.–225 + 3

D. 3 – 225

E. –225(3)

Step-by-step explanation:

Edge 2021

which of the following shows why 6 1/3 is equivalent to

Answers

Answer:

equivilent to what?

Step-by-step explanation:

Use the vertical line test to determine whether or not the graph is a graph of a function.

Answers

answer: yes
explanation:
well if you used the vertical line test, then you would know this is a function because there’s no more than 1 point for each vertical line.
*vertical means up and down*

is 0 a composite or prime number?

Answers

Answer: Prime number.

Step-by-step explanation: Hopefully this helped you ;)

Answer:

prime....

Step-by-step explanation:

Evaluate 26 + a if a = 8.

Answers

Answer:

34

Step-by-step explanation:

26 + 8 = 34

insert 8 into the equation where a is and add.

what is a rhombuses?​

Answers

Answer:

Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!

A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.

-All sides are equal

-Opposite sides parallel

~I hope I helped you! :)~

Solve for e.

9e - 7 = 7 - 11

e =

Answers

Answer:

e=-2

Step-by-step explanation:

9e - 7 = 7 - 11

e = -2

need help asap at this question so what's the area of the shaded shape ​

Answers

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Please read where it states “point S is in between points R and T” thank you

Answers

Answer:

RS: 26

ST: 40

Step-by-step explanation:

RS + ST = RT

3x - 16 + 4x - 8 = 60

3x + 4x - 16 - 8 = 60

7x - 24 + 24 = 60 + 24

7x = 84

7x / 7 = 84 / 7

x = 12

---------------------------------------

RS

3x - 16

3 (12) - 16

36 - 16

20

---------------------------------------

ST

4x - 8

4 (12) - 8

48 - 8

40

----------------------------------------

RS + ST = RT

20 + 40 = RT

60 = RT

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 1)

→ That means b in the equation = 1

∴ The number in the equation is 2

→ Look at the answer we have only one answers have negative slope and

   y-intercept = 1 in the right hand side ⇒ D

∴ The equation of the blue line is represented by the left side -2x + 1

→ That means the equation of the red line is represented by the left side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

∵ The line intersects the y-axis at point (0, -4)

→ That means b in the equation = -4

∴ The number in the equation is -4

→ Only D has a positive slope and y-intercept = -4 in the left side

∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph

Anne buys used cars at auction for 2000 per car if anne buys 13 ised cars how much did she pay in total what would be an equation

Answers

Answer:

26,000

Step-by-step explanation:

$2,000 per car x 13 used cars

Add.

(2x2+4−x3)+(−4x2+6x3−2)



Express the answer in standard form.

Enter your answer in the box.

Answers

The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.

What is an expression?

An expression is a mathematical phrase that can contain numbers, variables, and operators. It represents a value or a calculation, but it is not simplified to a single value.

To simplify the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in the standard form, we can combine like terms and apply the order of operations.

Step 1: Add and subtract the terms inside the first set of parentheses:

2x^2 + 4 - x^3 + (-4x^2 + 6x^3 - 2)

Step 2: Combine like terms:

-2x^3 + 2x^2 + 4 - 2

Step 3: Rearrange the terms in standard form, which is the form with the variable with the highest exponent first, and the numerical constant last:

-2x^3 + 2x^2 - 2 + 4

Step 4: Combine the constant terms:

-2x^3 + 2x^2 + 2

Hence, The simplified form of the expression (2x^2+4−x^3)+(−4x^2+6x^3−2) in standard form is -2x^3 + 2x^2 + 2.

To learn more about the expressions, visit:

https://brainly.com/question/1859113

#SPJ1

is the perpendicular bisector of a line a line segment also an angle bisector

Answers

Answer:

no

Step-by-step explanation:

What is the measure of

Answers

Answer: B


Step by step: congruent side

Hi I need help please, ill give brainliest if your correct

Answers

The answer you marked is correct because AB is parallel to CD and AB is perpendicular to EF

Solve for x show work 4(x+1)=-3x-10

Answers

Answer:

x= -2

Step-by-step explanation:

4x+4=-3x-10

7x+4=-10

7x=-14

x=-2    

Find the Slope

A. 2/5
B.5/2
C.-2/5
D.-5/2

Answers

The answer is a bc it’s pointing upwards which makes it positive and the rise is 5 and the run making it 2/5
2/5 because it’s pointing up wards np

in the expression of (x + 1)^n, the coefficient of the x^3 term is two times the coefficient of the x^2 term. Find the value of n.

Answers

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

Other Questions
What city is located west of Lafayette? how can i reduce -8/-3 Sum1 plzzz help me!!!!This is due today!!!! Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 3 rows of that same length, he has 15 left over. How many chairs does Liam have? help please !!Put the following words in the correct order to form a logical answer to thisquestion:Combien de baguettes est-ce que tu vas prendre?Je vais prendretroisen A jury pool has 17 men and 24 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the following probabilities:Give all answers accurate to six decimal places.a) all menb)all womenc) 8 men 4 womend) 6 men 6 women What does ergonomics mean in paragraph form ? If P*Q = PxQ - 7,what is 9*5? A box Jelly fish travels at a rate of 6.5 feet per second. What is the distance after 5 seconds? Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5 Onions are monocots with certain parts adapted for storage. From which of the following plant parts is the main storage structure formed?taprootherbaceous stemovary of flowerleaf sheaths What is the W-4 form used for?filing taxes with the federal governmentdetermining the amount of money an employee has paid out in taxescalculating how much tax should be withheld from a person's paycheckcalculating how much income was paid in the previous year The current temperature is 54F. It is expected to rise 2.5F each hour. In how many hours will the temperature be 84F?SHOW YOUR WORK! Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix. The larger number is five more than the smaller number. Four more than three times thesmaller number is twice the larger number. Find both numbers. I am looking for someone to help me with my project.If someone has a problem of any kind with this post please let me know so that I'll be less likely to repeat the issue. Thank you.Also, I guarantee that there is nothing inappropriate about the picture I have attached because it is a character that I drew. Twenty distinct cars park in the same parking lot every day. Ten of these cars are USmade while the other ten are foreign-made. The parking lot has exactly twenty spaces all in a row so the cars park side by side. However, the drivers have varying schedules so the position any car might take on a certain day is random. What is the probability that on a given day, the cars will park in such a way that they alternate (i.e., no two US-made cars are adjacent and no two foreign-made cars are adjacent)? What is the purpose about the amendment (Freedom of speech)relegion to press assembly? Which of the following statements is TRUE?OA. Your body composition can never be too low..It is possible that your body weight is within the appropriate range, but your body composition is not.Oc. If your body weight is classified as "overweight", your body composition will never be the recommended range.OD. Your body weight is more important than your body composition. Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1