(6m^2-3m+15)(4m-7) simplify

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

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Answer:

Area of rectangle = L x W

Step-by-step explanation:

A = L x W

L = 18

W = 10 + 5

so,

A = 18 x (10+5)

A = 18 x 15

A = 270

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that

[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]

and

[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]

So, By using Long Division Method, we have

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x + 1}}}& {\sf{\: {x}^{3}  -  {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} - {x}^{2} \: \: \:  \:  \:  \:  \:  \:  \:  \: \:\:}} \\ {{\sf{}}}& {\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - 3{x}^{2} - x +2  \:  \:  \:  \:   \:  \:  \:  \:\:}} \\{\sf{}}& \underline{\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  3{x}^{2} + 3x  \:  \:  \:  \:  \:  \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 2x + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 0\:\:}}  \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex]\bf\implies \:Remainder = 0[/tex]

Verification

[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]

[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]

[tex] \purple{\rm :\longmapsto\:Remainder = 0}[/tex]

[tex] \purple{\rm :\longmapsto\:Quotient = {x}^{2} - 3x + 2}[/tex]

Now, Consider

[tex]\rm :\longmapsto\:Divisor \times Quotient + Remainder[/tex]

[tex]\rm \:  =  \: (x + 1)( {x}^{2} - 3x + 2) + 0[/tex]

[tex]\rm \:  =  \: {x}^{3} - {3x}^{2} + 2x + {x}^{2} - 3x + 2[/tex]

[tex]\rm \:  =  \: {x}^{3} - {2x}^{2} - x + 2[/tex]

[tex]\rm \:  =  \: Dividend[/tex]

Hence, Verified

CARRY ON LEARNING

CAN YOU BRAINLEST ME PLEASE

Answer:

Step-by-step explanation:

MY SISTER HAVE DIS EQUETION I TELL YOU

Answer:

Step-by-step explanation:

Answer:

adjacent angle

Step-by-step explanation:

a linear pair =180 so not it

supplementary and complementary can't be it either due to neither being right angles

not a vertical angle

right next to each other with a common line to connect them so adjacent angle

Answer: By 9.1%

Step-by-step explanation:

Answer:

8.3333....

Step-by-step explanation:

275/300=1/12

1/12=0.083333...

0.083333...=8.3333%

Answer:

look at the picture i have sent

Answer: it should be B.

Step-by-step explanation:

Answer:

The answer is B. please let me know if I'm wrong.

Have a nice day/night!

Step-by-step explanation:

~King from 7 deadly sins~

Answer:

B

Step-by-step explanation:

Each coordinate becomes 1/4 of what it was.

Answer: B

Answer:

Second option

Step-by-step explanation:

It's just how a scale factor works i guess, it's hard to explain.

Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.

If Mr. Tyler has $5,000 in total, and x dollars in the savings account.

The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.

Amount in the mutual fund = Total amount - Amount in the savings account

Here, Total amount = $5000 and Amount in the savings account = x

Substituting the values back to the formula as

Amount in the mutual fund = $5,000 - x

So, Mr. Tyler has $(5000 - x) in the mutual fund.

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Answer:

y = 2/3x

Step-by-step explanation:

Answer:

y=2/3m

Step-by-step explanation:

the slope, m, equals rise over run

the slope rises 2, then runs 3, making 2/3

Hope this helps!

Answer:

infinite (many)

Step-by-step explanation:

3(2k-5)=6(k-4)+9

6k-15=6k-15

since they are the same on both sides of the equal side any solution for x would work.

The equation 3(2k - 5) = 6(k - 4) + 9 has many solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3(2k - 5) = 6(k - 4) + 9

6k - 15 = 6k - 24 + 9

6k - 15 = 6k - 15

Both sides of the equation are the same.

This means,

The equation has many solutions.

Thus,

The expression has many solutions.

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Answer:

£9500 + £25000 + £13250 + £12750 + £29500 + £11000 = £101000

£101000 divided by 6 = £16833.33333

rounded to 2dp. = £16833.33

Answer:

Step-by-step explanation:

i think its the third one..

Answer:

x = 2.4

Step-by-step explanation:

10x = 24

x = 24 ÷ 10

x = 2.4

Step-by-step explanation:

→ -4 = 20 - 10x

→ -20 - 4 = 10x

→ -24 = 10x

→ x = -24/10

→ x = -2.4

therefore, value of x is -2.4

hope this answer helps you dear!

The streetlight is 3x taller. The larger triangle's base is 30ft. 30 divided by 10 is 3. So the streetlight's height is 3 times 6 which is 18. Which also means the streetlight is 3x taller than the person.

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

13

Step-by-step explanation:

Answer:

Larry will need 6 and 2/3 cups of cherries.

Step-by-step explanation:

since one pie takes 1 1/3 cups, you would want to multiply that by 5 to see how many cups it will take for 5 pies. When you do this, you get a mixed number of 20/3 which simplifies to 6 2/3. I hope this helps.

X=92

X+Y=180

Y=180-92

Y=88

Z=Y=88

:)

Step-by-step explanation:

We have,

So that ,

And ,

Answer:

[tex]5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]

[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]

[tex]\frac{10*7}{3*4}[/tex]

[tex]\frac{70}{12}[/tex]

First you can divide both sides by 2

[tex]\frac{70}{12}=\frac{35}{6}[/tex]

Now make it as a mix number

[tex]\frac{35}{6} =5\frac{5}{6}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

[tex]\boxed {\sf x=-2}[/tex]

Step-by-step explanation:

[tex]\sf x - 10 = -12[/tex]

[tex]\boxed{\mathrm{Add\:}10\mathrm{\:to\:both\:sides}}[/tex]

[tex]\sf x-10+10=-12+10[/tex]

[tex]\sf x=-2[/tex]

__________________

Answer:

x = 2 and y =

Step-by-step explanation:

y = 2x - 1

y = -x + 5

2x - 1 = -x + 5

2x + x = 5 + 1

3x = 6

x = 6/3

x = 2

y = 2(3)-1

y = 5

Answer:

i dont know if i did this right buut

Step-by-step explanation:

Answer:39310

Step-by-step explanation: