1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavlova-9 [17]
3 years ago
12

Your​ school's talent show will feature 12 solo acts and 3 ensemble acts. The show will last 102 minutes. The 6 solo performers

judged best will give a repeat performance at a second 72 minute​ show, which will also feature the 3 ensemble acts. Each solo act lasts x​ minutes, and each ensemble act lasts y minutes
Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Answer:

each solo act will last 5 minutes and each ensemble act will last 14 minutes

Step-by-step explanation:

In the first show, we are told that there are 12 solo acts and 3 ensemble acts.

Now since each solo act lasts x​ minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;

12x + 3y = 102 - - - - eq1

In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.

Thus,we have;

6x + 3y = 72 - - - - eq2

Now, let's find x and y by subtracting eq 2 from eq1 to give;

6x = 30

Divide both sides by 6 to give;

x = 5

Put 5 for x in eq2;

6(5) + 3y = 72

30 + 3y = 72

3y = 72 - 30

3y = 42

y = 42/3

y = 14

Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes

You might be interested in
Quadrilateral PUMA has coordinates at P(-5,-2), U(-1,2), M(4,-3), A(0,-7) and it is transformed by (x+3,y-5). Determined the ima
IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

   down, then we add each x-coordinate by 3 and subtract 5 from

   each y-coordinate

∵ The coordinates of point M are (4 , -3)

∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

8 0
3 years ago
PLS ANSWER. The questions is attached. Dont' put like I dont' know the answer if u don't know don't answer pls.
jekas [21]

Answer:

x = 2.4

Step-by-step explanation:

see image for explanation.

Hope it helps

8 0
1 year ago
Y=3/2(-1)-1<br> Linear Equation
levacccp [35]
X = -5/2
X is a single horizontal line across the graph, because x has a set value

5 0
3 years ago
What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
11111nata11111 [884]

Answer:

R' = (-1,-0.5)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

P = (-3,-3)

R = (1,2)

Dilation:

D_{(0.5,P)}

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

R = (1-(-3),2-(-3))

R = (1+3,2+3)

R = (4,5)

Next, apply dilation factor 0.5

R' = R * 0.5

R' = (4,5) * 0.5

R' = (4* 0.5,5* 0.5)

R' = (2,2.5)

Lastly, measure R' from the origin by adding the coordinates of P to R'

R' = (2+(-3),2.5+(-3))

R' = (2-3,2.5-3)

R' = (-1,-0.5)

6 0
2 years ago
A linear model is given for the data in the table: y=1.25x+2.
Fed [463]

Answer:

Option A

Step-by-step explanation:

Given that A linear model is given for the data in the table: y=1.25x+2.

Let us write observed values for each x and also the predicted values as per equation.

x            2     3        4      8    10      16    20    24    Total

y((O)      3      4        7     12   16      22   28    30

y(P)     4.5   5.75      7     12   14.5   22   27    32

DEv    1.5    1.75      0       0     1.5     0      1       2     7 75

where y(0) represents observed y or y in the table given

y(P) gives values of y predicted as per the equation 1.25x+2

Dev represents the absolute difference

Hence answer is option

A.7.75

8 0
2 years ago
Other questions:
  • Alex lady sketch for a homemade soccer goal he plans to build . Do you go will be in the shape of a triangular prism . The legs
    14·1 answer
  • The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
    11·1 answer
  • Solve the inequality and graph the solution<br> -10 &gt;= -2z
    11·1 answer
  • Help asap<br> 7. What is the domain and range of each function?<br><br> y=x^2<br><br> y=-x^2+2
    9·2 answers
  • Which expression is equivalent to 9x2-2y+3x2-3y?
    7·2 answers
  • Find the surface area of a right square pyramid with base edge length<br> 2 feet and height 5 feet.
    5·1 answer
  • After watching the squirrels at the local park for several days, Sergei asks his science teacher the following question: "Do mor
    7·1 answer
  • Suppose you have a mean = 12 and a standard deviation = 3. What is the probability that a data member, x, is above 18?
    7·1 answer
  • If Rahul walks 9km in a week and Vansh walks 900 m daily, which of these is true about the distances they cover in a week?
    14·1 answer
  • PLEASE HELP ASAP SEE THE PICTURE!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!