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Aleonysh [2.5K]
3 years ago
7

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Sidana [21]3 years ago
6 0

Answer:

\Huge \boxed{8x^2 +5y+1}

\rule[225]{225}{2}

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Grouping like terms.

7x^2 +x^2+2y +3y +3+1 -3

(7x^2 +x^2)+(2y +3y) +(3+1 -3)

Combining like terms.

8x^2 +5y+1

\rule[225]{225}{2}

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During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4
Andre45 [30]

Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And  the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and  the total number of general seats.

So the equation can be written as;

x+y=760\ \ \ \ equation\ 1

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

6x+4y=3280\ \ \ \ \ equation\ 2

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

4x+4y=3040

(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120

On substituting the value of x in equation 1, we get;

x+y=760\\120+y=760\\y=760-120=640

Thus the number of reserved seat is 120 and number of general seat is 640.

8 0
2 years ago
5,-30,180,-1,080 what are the two next numbers
Sedbober [7]

Answer: The next two numbers are 6,480, -38,880.

Step-by-step explanation:

The pattern is to multiply each consecutive term by (-6).  Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).

A negative number times a negative number is a positive number

(eg: -30 x -6 = 180).  Also, (-1,080 x -6 = 6,480.)  (6,480 x -6 = 38,880).

Hope this helps.

5 0
3 years ago
Lines a and b are parallel.
VashaNatasha [74]
I have added a screenshot with the complete question along with a diagram representing the scenario.

<u><em>Answer:</em></u>
s = 22°

<u><em>Explanation:</em></u>
<u>1- getting the top right angle of line B:</u>
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
<u>Top right angle of line B = 158°</u>

<u>2- getting the value of s:</u>
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
<u>s = 22°</u>

Hope this helps :)

8 0
3 years ago
An advertisement claims a car can go from zero to 60 in 5 seconds. what is the rate of change of the car's speed?
Ugo [173]
Rate of change=(changespeed)/(changetime)=(s1-s2)/(t1-t2)
change is (0-60)/(0-5)=-60/-6=12
answer is 12 units per second
8 0
3 years ago
How many cubes of edge 4cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respecti
My name is Ann [436]

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

3 0
2 years ago
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