explain why 2a+3b=5ab

Answers

Answer 1

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

Answer 2
they can’t the variables have to be the same in order to add or subtract

Related Questions

they were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Three houses A B and Clie on the same line on a map. House Blies exactly in the middle of house A and house C The point (3,6) on the

map represents house A and the point (-5-3) represents house B.

Find the coordinates of house Con the map

Answers

Answer:

(-13, -12)

Step-by-step explanation:

The midpoint (x,y) between two points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) on the coordinate plane is given by:

[tex]x=\frac{x_1+x_2}{2};\\\\y=\frac{y_1+y_2}{2}[/tex]

Hence given that house A is at (3, 6) and house B is at (-5, -3). Since house B is placed at the middle of house A and house B, let the coordinates of house C be ([tex]x_2,y_2[/tex]). Hence:

[tex]-5=\frac{3+x_2}{2\\} \\3+x_2=-10\\\\x_2=-10-3\\\\x_2=-13[/tex]

[tex]-3=\frac{6+y_2}{2\\} \\6+y_2=-6\\\\y_2=-6-6\\\\y_2=-12[/tex]

Therefore house C is at (-13, -12)

Clear parentheses and combine like terms:​

Answers

Answer:

2x - 6y + 16

3rd option

Step-by-step explanation:

Step 1: Write out expression

2(x - 3y + 8)

Step 2: Distribute

2x - 6y + 16

Since there is no other like terms to combine, that is our final answer.

I really don't get it plz help

Answers

Answer:

Step-by-step explanation:

Change g(n) to y

y = 2n - 2

2y - 2 = n

2y = n + 2

y = (n + 2)/2

g^-1(n) = 1/2n + 1

solution is B

The Theodore Teddy Bear Company can pack 48 medium size bears in a carton. They received an order for 500 medium bears from the Canadian Traveling Carnival. Estimate the number of cartons needed to ship the order.

Answers

Answer:

11 cartons.

Step-by-step explanation:

Since only 48 bears can be fitted into 1 carton, we need to find how many cartons approximately 500 bears can fit in:

500/48 = 10.4167 cartons

We can't have 4/10ths of a carton. Makes no sense in the real world. Therefore, we need a total of 11 cartons to pack 500 bears, even if one box isn't full.

3(4x-1) greater than or equal to 2(4-x)

Answers

Answer:

Greater than

Step-by-step explanation:

First, I solved the expressions.

3(4x-1)=12x-3

2(4-x)=8-2x

12x-3>8-2x

As we can see, 12x-3 is greater than 8-2x.

Step-by-step explanation:

12x - 3 (expand 3(4x-1))

8-2x (expand 2(4-x))

if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first

for the second equation, 8-2x, it would be 8- 2(1) or 6

9>6 so, 3(4x-1) > 2(4-x)

mathematics algebra​

Answers

Answer:

⇒  [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{4m}{3}-\frac{3(n+3)}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n+9}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n}{2}-\frac{9}{2}[/tex] [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]

Answer:

i doubt you still need the answer but first step is to create like demononators

Step-by-step explanation:

An error has been made in subtracting the two polynomials as shown in the student work. (6x2 – 4x – 5 ) – (3x2 – 7x + 2) = How do you correctly subtract the two polynomials? Identify: Terms: Coefficient of "x2 ":Coefficient of "x":

Answers

Answer:

3x^2 + 3x - 7

Step-by-step explanation:

Given:

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2)

The correct way of subtracting the polynomial is by changing the sign of each term of the second polynomial. Like this

= 6x^2 – 4x – 5 – 3x^2 + 7x - 2

Collect like terms

= 6x^2 - 3x^2 - 4x + 7x - 5 - 2

Simplify

= 3x^2 + 3x - 7

(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2) = 3x^2 + 3x - 7

From the answer, the coefficient of x^2 is 3, coefficient of x is 3

Given the following function: f(x) = 4x +7
Evaluate -3 • f(9) = ?

Answers

Answer:

-129

Step-by-step explanation:

f(x) = 4x +7

-3*f(9) = -3*(4*9 + 7) =-3*(36 + 7) =- 3* 43 =-129

The pinata weighs 11/4 pounds without candy.He adds 8bags that weighs 3/8,3/8,1/2,1/2,1/2,3/4,3,11/4 how much will the pinata weigh when it is filled with the eight bags of candy

Answers

Answer:

[tex]Weight = \frac{23}{2}[/tex]

Step-by-step explanation:

Given

Weight of Pinata = 11/4 lb

Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4

Required

Weight of Pinata when filled with candies

To solve this question, we simply need to add all weights together

First, we need to add up the weight of the candies

[tex]Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}[/tex]

Take LCM

[tex]Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}[/tex]

[tex]Candies = \frac{70}{8}[/tex]

Simplify:

[tex]Candies = \frac{35}{4}[/tex]

Next; Add the weight of the candies to the weight of pinata

[tex]Weight = Candies + Pinata[/tex]

[tex]Weight = \frac{35}{4} + \frac{11}{4}[/tex]

Take LCM

[tex]Weight = \frac{35 + 11}{4}[/tex]

[tex]Weight = \frac{46}{4}[/tex]

Simplify

[tex]Weight = \frac{23}{2}[/tex]

Hence, the weight of the Pinata after it is filled with candies is 23/2 lb

Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?

Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(

HELPP me please? It’s due today

Answers

Answer: same-side interior angles

Step-by-step explanation:

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Esha's class recorded the outside temperature at 9:00 am. every day for two weeks. they make a line plot to show the data. how many marks should be above the 76 on the scale?

Answers

Answer:

Step-by-step explanation:

5

The graph of 0.5x - 2y = 3 is shown on the grid.


Which ordered pair is in the solution set of 0.5x – 2y 23?
A(-2, 0.5)
B. (2.1)
C (2, -1)
D. (-2,-0.5)

Answers

Answer:

D

Step-by-step explanation:

Hope this helps

Translate into a verbal sentence q - (4+p)= 1/3q

Answers

Q minus four and p equals one third of q

Rewrite in simplest terms: -9(-9y – 9y + 5) – y

Answers

Answer:

161y - 45

Step-by-step explanation:

The answer is 161y - 45 :)

how do I simplify 3(5+6h)

Answers

Answer:

33h

Step-by-step explanation:

first you distribute the three:    3 x 5 + 3 x 6h

then you multiply:    3 x 5 = 15   3 x 6h = 18h

then you add:    15 + 18h = 33h

                           (just add 15 and 18 then add h on the end)  

What are real and distinct roots

Answers

Answer:

If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. ... If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.

Step-by-step explanation:

if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf

Answers

Answer:

If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]

Step-by-step explanation:

Let the number be x

The given condition is:

=> 17 % of x = 1360

=> [tex]\sf \frac{17}{100} * x = 1360[/tex]

Multiplying both sides by [tex]\frac{100}{17}[/tex]

=> [tex]\sf x = \frac{136000}{17}[/tex]

=> x = 8000

So, total number of mangoes is 8000.

Find how long it takes a person to drive 94 miles on a highway if she merged into a highway at 1pm and drives nonstop with her cruise control set on 40mph

Answers

Answer:

2.35 hrs

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

what is the value of k?​

Answers

Answer:

k = 10

Step-by-step explanation:

∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)

*∡ stands for angle.

∑ of  ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)

∴ (4k + 5)° + 65° + (6k + 10)° = 180°

10k + 80 = 180

10k = 100

k = 100 ÷ 10 = 10

Pls help ASAP just number 11 and show work

Answers

Answer:

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

Solve for x:
(x+4)
3
= 2.
O a
X = -2
Ob
b =
hox=2
Ос
X=
WIN
Od
10
X=
1
3

Answers

Step-by-step explanation:

(x+4)3=2

3x+12=2

3x=-12+2

3x=-10

divide both sides by 3

x=-10/3

Look at this diagram:
F
E
G
Which diagram shows AEFG rotated 30° counterclockwise about U?

Answers

Answer:

angle FG=EU

angle EU=FG

FG:EU

FE=GU

Which number completes the square to form a perfect square trinomial?
x2 +12x +

Answers

Answer:

36

Step-by-step explanation:

(x + 6)(x+6)

F.O.I.L.

x^2 +6x + 6x + 36

X^2 + 12x + 36

Answer:

36

Step-by-step explanation:

● x^2 + 12x

● 1 × x^2 + 2 × 1 × 6 × x

Notice that the third term is 6

So we will add 36 (6^2)

● x^2 + 12x + 36

● (x+6)^2

a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?

Answers

Answer:

yes

Step-by-step explanation:

Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.

Given, A rectangle with sides of length n+2 and n.

∴ Perimeter = 2((n + 2) + n)

= 2(2n + 2).

= 4n + 4.

Also given, A square with sides of length n + 1.

∴ Perimeter = 4(n + 1).

= 4n + 4.

So, yes the two shapes are equal in the perimeter.

learn more about rectangles here :

https://brainly.com/question/6465134

#SPJ2

10(-8f +1) – 8(6 f – 4)

Answers

Answer:

2(- 64f + 21)

Step-by-step explanation:

10(-8f+1)-8(6f-4)

-80f+10-48f+32

-80f-48f+10+32

-128f+42

hope it helps!

How many grams NaCl would you use to make a 4M solution in 100ml

Answers

Answer:

Amount of NaCl = 23.376 gram

Step-by-step explanation:

Given:

Molarity = 4M

Volume of solution = 100 ml

Find:

Amount of NaCl

Computation:

Molar mass of Na = 22.99 g/mole

Molar mass of Cl = 35.45 g/mole

Molar mass of NaCl =  22.99 + 35.45

Molar mass of NaCl  = 58.44 g/mole

Molarity = [moles of solute / volume of solute(ml)]1,000

4 = [moles of solute / 100]1000

Moles of solute = 0.4

moles of solute = Mass of solute / molar mass

0.4 = Amount of NaCl / 58.44

Amount of NaCl = 23.376 gram

A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6) B. (1, 1) and (1, 3) C. (1, 2) and (2, 3) D. (1, 3) and (3, 6)

Answers

Answer:

Answer is A - (1, 3) and (2, 6)

Step-by-step explanation:

(1, 3) • 2

= (1 • 2, 3 • 2)

= (2, 6)

Ratio: 2/2, 6/2

Therefore, the answer is A.  

Answer:

a

Step-by-step explanation:

-(-9.8f+7) please help

Answers

Answer:

[tex] \frac{7}{5} (7f - 5)[/tex]

Answer:

-9.8f - 7

Explanation:

You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.

(-9.8f + (-7)) = -9.8f - 7

identify the base of the expression x^5

Answers

Answer:

Step-by-step explanation:

x·x·x·x·x=x^5

x multiplied 5 times

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