Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
Answer:
There cannot be equal errors in both and yellow has fewer errors.
Step-by-step explanation:
we can do paired t test for these two colours
(one tailed test)
df = 9
The data can be tabulated as follows:
Yellow white
5 7
2 6
6 8
7 5
2 9
5 11
3 8
8 3
4 6
9 10
t-Test: Paired Two Sample for Means
Yellow white
Mean 5.1 7.3
Variance 5.877777778 5.788888889
Observations 10 10
Pearson Correlation -0.139051655
Hypothesized Mean Difference 0
df 9
t Stat -1.908439275
P(T<=t) one-tail 0.044341411
t Critical one-tail 1.833112923
P(T<=t) two-tail 0.088682822
t Critical two-tail 2.262157158
Since p value one tailed = 0.0443 and it is <0.05 our significance level, we reject null hypothesis.
There cannot be equal errors in both and yellow has fewer errors.
Well $16 times 16 would be $256.
If each shirt costs $1 then she could buy 16 shirts.
Answer:
Step-by-step explanation:
Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.
To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
Solution :
Let total number of tomatoe plants be T
Since we are given that Lauryn grew tomato plants = p
We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.
⇒ 
We are also given that Kent grew 6 more than 4 times the number Lauryn grew.
⇒ 
So, total number of tomato plants :
⇒ 
⇒
Hence a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is
Answer:
∠PQL=∠TRN [Corresponding angles]
So, PQ║RS and PQ=RS
Step-by-step explanation:
Side PQ is drawn.
Another side QR is drawn making an acute angle with side PQ.
Now side QR is extended towards left.
Draw an arc from point Q such that it cuts QP at M and RQ produced at L. Without changing the compass width i.e distance between nib and pencil draw an arc from point R such it cuts RQ at N.Now measure the Distance LM using compass.Place the compass at N and cut an arc that you have drawn from point R.Mark this pont as T.Draw a line passing from R and T .Then measure the length of PQ using compass.Put your compass at R and cut an arc on the line RT produced at S.Then the line PQ ║RS and PQ =RS.
Why this happens because
∠ MQL=∠NRT [ corresponding angles taking QR as Transversal]
∵PQ║RS and PQ=RS [PQRS is a parallelogrm]
Out of four students who has written the explanation
Student 2 has written not fully but correct explanation.
