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
kirza4 [7]
3 years ago
11

(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a -

2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

5 (x - y + z) + (4x + 3y) =9x - 2y +5z

Step-by-step explanation:

Solving (i):

3 (a + 5b) + a (a + 4)

Open brackets

3 (a + 5b) + a (a + 4)  = 3a + 15b + a^2 + 4a

Collect like terms

3 (a + 5b) + a (a + 4)  = a^2 + 4a+3a + 15b

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

Solving (ii)

y (10 - y) + 3 (y - 2)

Open bracket

y (10 - y) + 3 (y - 2)  = 10y - y^2 + 3y - 6

Collect like terms

y (10 - y) + 3 (y - 2)  = - y^2+10y  + 3y - 6

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

Solving (iii)

2 (8a - 5b) + 3 (5a - 12)

Open bracket

2 (8a - 5b) + 3 (5a - 12)  = 16a -10b + 15a - 36

Collect like terms

2 (8a - 5b) + 3 (5a - 12)  = 16a+ 15a -10b  - 36

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

Solving (iv)

3 (y - 3) + ( 8 - 6y + x)

Open bracket

3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x

Collect like terms

3 (y - 3) + ( 8 - 6y + x) = 3y  - 6y + x- 9 + 8

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

Solving (v):

a (a - 2b) + b (b + 2a - c)

Open bracket

a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc

Collect like terms

a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2  - bc

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

Solving (vi)

5 (x - y + z) + (4x + 3y)

Open brackets

5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y

Collect like terms

5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z

5 (x - y + z) + (4x + 3y) =9x - 2y +5z  

You might be interested in
Larry has 9 gallons of paint. He uses 10 quarts to paint his kitchen and 3 gallons to paint his living room. How many pints of p
const2013 [10]
1 gallon is 4 quarts or 8 pints. 9 gallons - 3 gallons= 6 gallons
Then convert it to quarts so, 6×4=24 quarts.
Then subtract that by 10 quarts so, 24-10=14 quarts.
Because you requested the number in pints, you have to convert it again and because there are 2 pints in a quart you multiply it by 2 so, 14×2=28 pints left over.
5 0
3 years ago
Read 2 more answers
 Jackie so $9500 worth of vacuum cleaners in December if she earns a commission rate of 15% of all sales what commission Did sh
artcher [175]

Answer:

1425

Step-by-step explanation:

I'm pretty sure 1425 is 15% of 9500.

8 0
2 years ago
Find the value of x.
Harman [31]
The answer to the question is 30
8 0
3 years ago
What is the y intercept ​
Sonbull [250]

Answer: (0,4)

Step-by-step explanation: Its the point that intrrcepts the y-axis hence the name

3 0
3 years ago
Read 2 more answers
The scale of a map is 1 : 25 000
Artyom0805 [142]

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

7 0
3 years ago
Other questions:
  • Ann races her bicycle for 200 ft. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diamet
    13·1 answer
  • The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 in
    9·2 answers
  • Explain why the amount of money in the account at the end of t years is given by the formula:
    13·1 answer
  • I need help with that question please
    14·2 answers
  • *. Find the volume of a cone with a 6-inch<br>radius and a height of 10 inches.​
    7·2 answers
  • The perimeter of a rectangle is 63cm. The length is 4cm more than its width. Find the dimensions of the rectangle
    5·1 answer
  • What is 5x^2 -17x-12=0
    5·1 answer
  • Which is equivalent to3/4
    8·2 answers
  • I need more answers and I don’t know how to make an account
    10·2 answers
  • There are 10 flashcards with digits from 0 to 9 written on them. Andrew drew the card with 2 on it. He is about to draw another
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!