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morpeh [17]
3 years ago
10

Simplify. (4v2-5v-1) + (7v2-3v+2)

Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

11v^2 - 8v + 1

Step-by-step explanation:

(4v^2 - 5v - 1) + (7v^2 - 3v + 2)

open brackets

4v^2 - 5v - 1 + 7v^2 - 3v + 2

place like terms together (remember signs remain same )

4v^2 + 7v^2 - 5v - 3v + 2 - 1

add or subtract like terms

11v^2 - 8v + 1

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An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ te
nikitadnepr [17]

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 132 students​?

Answer:

a)How many students does the academy have per​ teacher?

22 students per teacher

b) Per​ tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per​ teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per​ tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

5 0
3 years ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 ​ of a blanke
Gnesinka [82]

Answer:


Step-by-step explanation:

Given that Darcie wants to donate minimum 3 blankets to donate to a homeless shelter.  No of days left =60

No of days to complete one blanket = 1/(1/15) = 15 days

Hence in 60 days she has to complete ≥3 blankets

No of days she has to utilize for this will be ≥3(15)=45

No of days she can skip crocheting ≤15

Let x be the no of days crocheted and y no of days skipped

Then x+y≤60

See the graph attached as x axis for days crocheted and y for days skipped

No of blankets can be either 3 or 4.


4 0
3 years ago
Read 2 more answers
Can someone help me please..
Elza [17]
So just find circumference is
circumfernce=2pir or pid
so diameter 2.5 ft
just for this problem aprox pi=3.14 so
c=pid
c=3.14(2.5)
c=7.85

a. 7.85 ft

b. how many times revolution till one mile (5280)
so
7.85 times x revolutions=5280
divide both sides b y7.85
x revolutions=672.61
round up so we complete the mile (about how many times..)
673 is the answer


a. 7.85 ft
b. 673 times
5 0
3 years ago
Round 363 to the nearest ten and hundred
IRISSAK [1]
Its 400 because 363 is closer to 400 than 300
3 0
4 years ago
Read 2 more answers
Identify the polygon and classify it as regular or irregular.
Leni [432]

Answer:

D irregular quadrilateral

Step-by-step explanation:

5 0
3 years ago
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