17. Five time as many girls as boys went to the dance. The total of 120 students went to

the dance.

a. If b represents the number of boys and g represents the number of girls, use

the numbers, variables, and symbols shown below to construct a system of

equations to model this situation. Some of the numbers, variables, and

operations will be used more than once and some will not be used at all.

b

g

+

10

3

4

1

5

120

2.

Answers

Answer 1

Answer:

[tex]b+g=120[/tex]

[tex]b+5b=120[/tex]

Step-by-step explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

[tex]b+g=120[/tex]

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

[tex]g=5b\\[/tex]

Insert it in the previous equation to get

[tex]b+5b=120[/tex]


Related Questions

What is the value of x?
6
8
010
O 12

Answers

Answer:

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

please mark me brainliest :)

the answer is eight.

What is the volume of a rectangular solid with a length of 12, a width of 3, and a height of 4?

Answers

Answer:

144

Step-by-step explanation:

L•w•h

12•4•3= 144

The answer is 144 , I got the same solving step by step solution like the other person

PLEASE HELP!

The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?

Answers

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔMNO ≅ ΔPON by HL. B) Yes, ΔMNO ≅ ΔPON by SAS. C) Yes, ΔNOM ≅ ΔPON by AAS. D) Yes, ΔONM ≅ ΔPON by SSS.

Answers

Answer:

B) Yes, ΔMNO ≅ ΔPON by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.

Answer:

Step-by-step explanation:

B) Yes, ΔMNO ≅ ΔPON by SAS

Just did this test.

If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False

Answers

the answer is B because it is not safe to touch it

This is the question about circle in geometry.

Answers

Answer:

A cicle centered in the origin has equation.

[tex]x^2+y^2=r^2\\4^2+1^2=r^2\\r=\sqrt{17}\\ \\\sqrt{5}^2+\sqrt{2}^2\neq \sqrt{17}^2\\ 7\neq 17[/tex]

The point does not lies on the circle

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend. A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68. Which statement describes the amounts the team charged for wrapping gifts? The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow. The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow. The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow. The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.

Answers

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

Gift-Wrapping Fundraiser

Plain Gifts Wrapped    Decorative Gifts Wrapped   Total Raised in dollars

10                                  9                                             47

25                                 12                                            86

16                                  12                                            68

Let's define:

x: $ charged per gift for Plain Gifts Wrapped

y:  $ charged per gift for Decorative Gifts Wrapped  

From 2nd 3rd row:

25x + 12y = 86

16x + 12y = 68

Subtracting them:

25x + 12y - (16x + 12y) = 86 - 68

9x =  18

x = 18/9 = 2

Replacing x = 2 into the first equation:

25(2) + 12y = 86

12y = 86 - 50

12y = 36

y = 36/12 = 3

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

B on edg

I need to do this assignment

Answers

Answer:

c

Step-by-step explanation:

(3x+1)(x+6)

3x^2+18x+1x+6

Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15

Answers

12+6+15=12+6+15 is the correct answer

Answer:

12 + 6 + 15 = 12 + 15 + 6

Hope this helps :D


Help me please!! Anyone

Answers

Answer:

180-88

92

Step-by-step explanation:

x=92

Answer:

I think its 92

Step-by-step explanation:

Supplementary angles always add up to 180

681/4 i dont know this

Answers

Answer:

170.25

Step-by-step explanation:

It's a bit tricky to do not on plain paper, but here:

Just assume the long division symbol looks right

  _1_7_0_.25

4 ) 681

    -4

     2 8

     -2 8

          0  1

The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.

Fraction: 170 1/4

Decimal: 170.25

The answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?


Please show the work of the problem

Answers

Answer: $2227.41

Step-by-step explanation:

A = P(1 + r/n)^nt

pls help i give brainliest and 5 stars​

Answers

Step-by-step explanation:

Explanation:

The formula for volume of a sphere is:

V=43πr3

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

2304π=43πr3

We can cancel π from each side.

2304=43r3

Multiply both sides by 34.

2304×34=34×43r3

2304×34=34×43r3

2304×34=r3

5762304×34=r3

576×3=r3

To find the cube root, we separate the factors of the number on the left.

3⋅3⋅3⋅4⋅4⋅4=r3

(3⋅4)(3⋅4)(3⋅4)=r3

12×12×12=r3

12=r

Since the radius (r) is 12, the diameter, which is 2r, will be:

2×12=24

The algebraic expression 6x - 4 can
be written as which of the
following?
The product of six and a number x
decreased by four
x to the sixth power decreased by four
Six times a number x less than four
four less than six

Answers

Answer:

Six times a number x less than four less than six

The product of six and a number x  decreased by four.

Given that,

The algebraic expression 6x - 4.

Based on the above information, the information is as follows:

Here 6x - 4 should be written like the product of x and the number x should be decreased by four.

Learn more: brainly.com/question/17429689

vvggggggfgfffgggtttt

Answers

Answer:

B

Step-by-step explanation:

The farmer plants 195 rows of beets and has 25 beet plants left over

Answer:

The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.

Step-by-step explanation:

95 points!
The scatter plot shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend with family each week.

What is the y-intercept of the line of best fit and what does it represent?
11.5 hours; the number of hours students spend with family in a week when they do not watch television
9.2 hours; the number of hours students watch television in a week when they do not spend time with family
9.2 hours; the number of hours students spend with family in a week when they do not watch television
11.5 hours; the number of hours students watch television in a week when they do not spend time with family

Answers

9.2 hours; the number of hours students watch television in a week when they do not spend time with family

Step-by-step explanation:

We are given,

The x-axis represents the time spent with family and the y-axis represents the time spent on watching television.

Now, y-intercept is the point where the scatter plot crosses y-axis.

From the scatter plot and and according to the options, the data point is located at x= 0 and y= 9.2.

That is, the y-intercept represents that students watched television for 9.2 hours when they do not spend time with their family.

I got 9.2 with family

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

To find DC

c²=a²+b² (pythagorean theory)

c²=6²+8²

c²=36+64. c²=100. √100. c=10cm

thus D =10.

AD= 15-6=9

To find AC

c²=a²+b²

c²=15²+8²

c²=225+64. c²=289 √289. c=17

AC=17

perimeter is the distance around a figure thus ADC=9+10+17

=36

I will give the brainiest answer

Answers

Answer:

The answer is option (B).

A class is made up of 2 boys and 12 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses

Answers

20 out of 40 persay so yeah

which inequality is represented by this graph? (0,1) (3,0)

Answers

Answer:

y ≤ -1/3x +1

Step-by-step explanation:

We have a solid line so the inequality has an equals sign.

The graph is shaded underneath so y is less than or equal to

y ≤ -1/3x +1

Answer:

Y<-1/3x+1

Step-by-step explanation:

The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line

A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?

Answers

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in

What is the missing number that will complete the
factorization?
6
8
12
24

Answers

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

The answer would is 6

please help me out here
*image attached

Answers

Answer:

Rate of change =  change y / change x

Change y = + 1

Change x = + 2

SO the rate of change is 1/2

WHAT IS THE Y VALUE WHEN X IS 9

y = 1 MULTIPLY by 4.5 = 4.5

x = 2 MULTIPLY by 4.5 = 9

Y = 4.5 when x = 9

You spin the spinner below once. What is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

What is Probability?

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

How to find probability?

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

Learn more about probability here-

https://brainly.com/question/25870256

#SPJ2

^ this week, The sparkling water was 4 for $5 , the regular was $1.69

Answers

This week you paid $1.25 each because they were on sale for four for $5.

I need help solving this asap

Answers

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which inequalities have the solution set graphed on the number line? Check all that apply.
x Greater-than-or-equal-to -1.5
x Less-than-or-equal-to -1.5
-1.5 Less-than-or-equal-to x
-1.5 Greater-than-or-equal-to x
x Less-than-or-equal-to -2.5
x Greater-than-or-equal-to -2.5
-2.5 Greater-than-or-equal-to x
PLZ HELP QUICKLY I DONT HAVE MUCH TIME WILL GIVE BRAINLIEST

Answers

Answer:

This graph represents x is less than or equal to -1.5

Step-by-step explanation:

When the graph faces the direction on the left that represents “less than”, similarly when the graph faces the right directions, that represents “greater than”.

Based on what is given, the graph is “less than”

Closed dot means “equal to”

open dot is just greater or less

Combine all of this and we can safely pick that this graph represents -1.5 less than or equal to 1.5

Answer:

ITS B AND D

CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP

Step-by-step explanation:

You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?

Answers

Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

What is the product?
(x+3)(2x - 1)
2x²-3
2x²+66
O 2x²+5x-3
2x²+6x-3

Answers

It’s 2x^2 + 5x - 3.

Pls help me to solve this

Answers

Answer:

see below

Step-by-step explanation:

19-3 will be greater

We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1

18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

8

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