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

Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?

Check all that apply.

Answers

A and B are true because if there is a 90 angle for two intersecting lines, then the two lines are perpendicular. As well, vertical angles are the angles opposite of one another and these angles are opposite sides. Complimentary means they add up to 90 and supplementary angles add up to 180

Evaluate the expression if m=4 n=3 and p=2
5m-4n+p=

Answers

The answer is 10

The equation would look like
5(4)-4(3)+2
And if you solve it, you’ll get 10 as your answer

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]5m-4n+p[/tex]

You would substitute in the given values and then combine like terms

[tex]m=4\\n=3\\p=2[/tex]

[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]

Find the average rate of change of g(x) = 4x + 13 over the interval [-3, 0].

Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify
any fractions.

Answers

Answer:

4

Step-by-step explanation:

A bucket holds 10 potatoes. Hal removes and cleans 4 potatoes per minute.
Write the explicit definition for the sequence that represents the potatoes left
in the buck after n minutes ?

Answers

Answer:

an = 10 – 4(n – 1)

Step-by-step explaination

answer is an = 10 – 4(n – 1)

4X + 2( X+ 7) = 5(X-3) *

Answers

Answer:

x= -29

Step-by-step explanation:

hi! let's start off by distributing.

4x+2(x+7)=5(x-3)

4x+(2x+14)=5x-15   combine like terms

6x+14=5x-15   subtract 5x on both sides

x+14=-15   subtract 14 on both sides

x= -29

there's your answer!

Answer:

x = -29

Step-by-step explanation:

4x + 2x +14 = 5x - 15

6x + 14 =5x - 15

x = -29

Please correct me if I'm wrong.

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

Possible Answers:
A:Because this is a convenience sample, it is likely that the sample results will be unbiased.

B:Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

C:Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.

D:Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

Answers

Answer:

the answer is B :)

Step-by-step explanation:

edgen 2020

Ivanna pumped 6 gallons of water out of her pool each minute for 36 minutes. What was the total change in the amount of water in the pool?​

Answers

Answer:

Step-by-step explanation:

-6 gallons per minute

there is less water since she is pumping OUT water

-216 gallons are pumped out since -6*36 is -216

Answer:

216 gallons lost

Step-by-step explanation:

6*36=216

per minute=36 mins

Haddasah and Devon went shopping together. Haddasah bought 6 oranges and 5 lemons for $5.67. Devon bought 3 oranges and 7 lemons for $4.32. Their purchases can be modeled by a system of equations. A. Write a system of equations that represents this situation. Define the variables.

Answers

Answer: Define variables:

x = Cost of orange

y= Cost of lemon

System of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Step-by-step explanation:

Let x = Cost of orange

y= Cost of lemon

Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)

As per given,

6x+5y = 5.67

3x+7y = 4.32

Hence, system of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Choose the student who wrote the correct inequality.

Vrinda made over 90% of her free throws during the basketball game.
Isidro's work. F = 90.
Kimani's work. V less-than 90.
Tori's work. P greater-than 90.

Answers

Answer:

Tori

Step-by-step explanation:

if youre making over 90 percent of your free throws, then any number (P) greater than 90 is the answer

Answer:Toris work;Greater than 90.Because 90% has to be greater and not less.~Empress Arianna Mcdonald.

a rectangular compound has the dimensions 6 m by 10 m a square carpet is laid in the centre of the compound.Thr carpet is 3 m by 3 m. find the part of the compound that is uncovered by the carpet​

Answers

Answer:

the uncovered part is 3 by 7

A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same
distance in each number of hours.
travel time
(hours)
rate of travel (miles per
hour)
5
4.5
3
2.25
Part 2. In the scenario in question 4 write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if they traveled for t hours WILL GIVE 80 POINTS 

Answers

Answer/Step-by-step explanation:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Therefore, rate travelled for t hours would be:

[tex] r = \frac{180}{t} [/tex]

The rate of travel gives the average speed the car will be going if it covers

the 180 miles in different times

Part 1. The table showing the rate at which the car was going is presented as follows;

[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]

Part 2. To  make it easy to find the rate of travel, the following equation may be uses;

 [tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Reasons:

Part 1.

The given distance travelled by the car = 180 miles

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Therefore, we have;

[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]

Part 2.

The equation that would simplify the finding of the car's travel rate is given

by the following expression;

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Where:

The constant distance traveled = 180 miles

The time taken = t

The equation that will make finding the rate of travel, easy in therefore;

[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Learn more:

https://brainly.com/question/17374284

The graph of line is shown below. Yes
y
(-2,9) 81
6
41
21
(6.1)
X
4-2
2
4
6
8
Nol
-4
-61
-
What is the slope of line i?

Answers

Answer:

where is the graph??

Step-by-step explanation:

1+1+3+5+9-10+5-39+8=?

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Use PEMDAS.

Hoped this helped!! <3

0.2y-14=1/4(4-y) tell each property used to solve the equation ​

Answers

to help you with math download the app photomath it's really useful and helps me tons!

A recipe uses 834 cups of milk for every 312 cups of oatmeal.

How many cups of milk are used for each cup of oatmeal

Answers

Answer:

Around 2.67

Step-by-step explanation:

Dived 834 by 312 and try to simplify

Alex can run 9 miles in 3 minutes x I need the equation and constant of porportionality

Answers

Answer:

k=9/3= 3

Step-by-step explanation:

Mark me the brainliest please

Solve for x:

30 = 14 - 4(3 - x)

Answers

Answer:

-7

Step-by-step explanation:

First, distribute. 30 = 14 - 12 - 4x

Then, simplify and get the regular numbers one the left side.

30 = 2 - 4x                             28 = -4x

Finally, divide both sides by -4 to get x by itself.

-7 = x

A gardener has ten plants (four tomato, two pepper, and four cucumber) to put in her garden. If she chooses the plants at random, what is the probability that the first one is a tomato plant, and the second one is a cucumber plant?

Answers

Answer:

8/45

Step-by-step explanation:

Given that:

Total Number of plants = 10

Number of tomato = 4

Number of pepper = 2

Number of cucumber = 4

If two plants are chosen at random:

Assume it is picked without replacement :

P(first is tomato plant) :

Recall : probability (p) = required outcome / Total possible outcomes

P(first is tomato plant) = 4 / 10 = 2/5

P(second is a cucumber plant) :

Number of plants = (10 - 1) =9 after first pick

P(second is a cucumber plant) = 4 / 9

Hence,

P(first tomato and second cucumber) = 2/5 * 4/9 (independent events)

2/5 * 4/9 = 8/45

Answer:

Also, the answer is 17.78%

Question 1
Which of the following statements is NOT true?
The ratios of the rise to
the run for the triangles
are equivalent
У.
The slope of Āč is ž
2.
B В
-2
-A
The slope of AB is
different than the
slope of BC.
AB has the same slope
as AC.

Answers

Answer:

Option (C)

Step-by-step explanation:

Option (A)

Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                 = [tex]\frac{2}{3}[/tex]

Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]

                                                             = [tex]\frac{2}{3}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

Therefore, the ratios of the rise to run are equivalent in both the triangles.

True.

Option (B)

Slope the line AC will be same as segments AB and BC which lie on the same line AC.

Slope of AC = [tex]\frac{2}{3}[/tex]

True.

Option (C)

Since, the segments AB and BC are the parts of line AC

Slope of AB = Slope of BC = Slope AC

Therefore, slope of AB and BC can not be the same.

False.

Option (D)

Since, segment AB is a part line AC, slope of both will be same.

True.

Option (C) is not true.  

Answer: The slope of AB is different than the slope of BC

Step-by-step explanation:

That’s the answer

7x = -84
Solve the equation

Answers

Answer:x = -12

Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>

Answer:

x=−12

Step-by-step explanation:

can you mark me as branlest if right

You can answer all if you would like but only a few would be fine as well

Answers

A) 3^3
B) 6^2
D) 2^2
E)5^3
F)2^3

Who can read my work?

Answers

Answer:

kinda hard to understand :)

Step-by-step explanation:

1. You withdraw $17 from your account.
IL A running back loses 17 yards in a game.
III. The temperature rises 17 degrees.
The integer -17 would BEST represent which of these events?
les ))
A)
I only
B)
III only
I and II only
Eliminate
D)
II and III only

Answers

D) elimainate only. WHY? Well it best represents the scenes of events in time and place defenetly that.

Can someone please help me pleaseee

Answers

Answer:

B. 55

Step-by-step explanation:

The angle measurements on the top are the same as the bottom, so we know  the angle next to (x+70) is 55. You then subtract 55 from 180 and you are left with 125. Then you have to subtract 70 to find x, which gives you 55. Therefore, x=55

What is 35/80 in lowest terms

Answers

Answer:

7/16

Step-by-step explanation:

Divide each side by 5

Answer 7/16
Your welcome have a good day

6x - 2 = x + 13 what is the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 2 = x + 13

6x - x = 13 + 2

5x = 15

x = 3

Which statement correctly compares the graph of function g with the graph of function f?





A.
The graph of function g is a vertical stretch of the graph of function f.
B.
The graph of function g is a horizontal shift of the graph of function f to the left.
C.
The graph of function g is a vertical compression of the graph of function f.
D.
The graph of function g is a horizontal shift of the graph of function f to the right.

Answers

Answer: It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

Answer:

c

Step-by-step explanation:

What is the product?
254
X 47
O 11,618
O 11,818
O 11,838
O 11,938

Answers

the answer is D, 11,938

LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE

Answers

okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses? ​

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 students                        

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