factorise k^2 + 5k + 6​

Step-by-step explanation:

Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.

[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]

All we have to do now is to find [tex]a[/tex].

[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]

Our number must be [tex]204[/tex]. I think

Answer:

c

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer: 8,545

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/6 = 1/3  so we just need to know what is more 3/5 or 5/8

3/5 = (3•8)/(5•8) = 24/40

5/8 = (5•5)/(8•5) = 25/40

25 > 24  so 5/8 > 3/5

so Cristiano walked farther

They walk for 1/3 of a day so in a whole day they walk three times the distance

3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile

5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile

Answer:

(p+3)(p-7) = 0

Step-by-step explanation:

Given p=x^2+6p and (x^2+6)^2-21=4x^2+24

We are to substitute the the p = x²+6 into the expression as shown;

The expression (x^2+6)^2-21=4x^2+24 will become

(x²+6)²-21 = 4(x²+6)

On substituting p, the expression becomes;

p²-21 = 4p

Subtract 4p from both sides

p²-21-4p = 4p-4p

p²-4p-21 = 0

p²-7p+3p-21 = 0

p(p-7)+3(p-7) = 0

(p+3)(p-7) = 0

Hence the expression in terms of p is (p+3)(p-7) = 0

Answer:

Step-by-step explanation:

Answer:

1 sig figs = 1st number is a non zero number and all following numbers are zero (if no decimal point present)

if decimal point is present then it can be 0.x where the x can be any number but nothing can come after it

Step-by-step explanation:

Step-by-step explanation:

[tex]w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y[/tex]

[tex]y = \frac{2x}{ {x}^{2} } \\ [/tex]

Answer:

31.5 cups of salsa can be made

Step-by-step explanation:

4 x 4.5 =18

7 x4.5=31.5

Answer:

m∠2 = 37°

m∠3 = 143°

m∠4 = 37°

Step-by-step explanation:

From the figure attached,

Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.

By the definition of vertical angles,

∠1 ≅ ∠3 and ∠2 ≅ ∠4

Since, m∠1 = 143°

Therefore, m∠1 = m∠3 = 143°

m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]

143° + m∠2 = 180°

m∠2 = 180° - 143° = 37°

Therefore, m∠2 = m∠4 = 37°  

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

Answer:

It Is 0.8

Step-by-step explanation:

I took the quiz

Answer

the answer is D

Step-by-step explanation:

the square root of 300 is 17.3

so there for it lies between 17 and 18

Answer:

a) 3710

b) 3932.6

Step-by-step explanation:

well I'm assuming youre not cheating, but i hope you can understand this because it's pretty crucial beyond math class

anyway it's just

a) 3500 + .06(3500) = 3710

b) (3500 + .06(3500)) + (3500 + .06(3500))*.06 = 3932.6

Answer:

$10,825

Step-by-step explanation:

let C: represent the total cost which is what we are looking for

let a: represent the cost of renting a truck

let b: represent the cost of each tone of sugar

let s: represent the quantity of the tons of sugar

From the question the additional cost of the sugar depends on the tons

so we multiply the tons by $175

so our equation will be

C = a + bs

in this case our value of b is $175

so we have

C = a + $175s

C = $7500 + ($175 * 19)

C = $7500 + $3325

C = $10,825

Answer: 0.66 or 66%? (34% decrease)

Step-by-step explanation: 21+13=34 and 100-34 is 66

Answer:

40-8n

Step-by-step explanation:

We distribute the -4 over to the values in the parenthesis to get 40-8n.

Answer:

14.58

Step-by-step explanation:

1.08 is tax multiplied by 15 is 16.20 after tax. 90% of that is 14.58

Answer:

you pay 15.3 dollars

Step-by-step explanation:

15 times 0.1 is 1.5

15 times 0.08 is 1.2

15-1.5+1.2=15.3

Answer:

Please provide more details.

Step-by-step explanation:

Answer:

a = [tex]\frac{h-r}{b}[/tex]

Step-by-step explanation:

Given

h = ab + r ( subtract r from both sides )

h - r = ab ( isolate a by dividing both sides by b )

[tex]\frac{h-r}{b}[/tex] = a

Answer:

-3(x+3) + 4x

simplifies to

x-9

Step-by-step explanation:

have a good day

Answer: -9

Step-by-step explanation:

−3(x+3)+4x

Distribute:

=(−3)(x)+(−3)(3)+4x

=−3x+−9+4x

Combine Like Terms:

=−3x+−9+4x

=(−3x+4x)+(−9)

=x+−9

Answer:

=x−9

Have a good day can u give me brainliest pls.

Answer:

C

Step-by-step explanation:

Answer:

a. 10 by 25,000

b. 25,000 interval because the x and y axis would both have 10 marks

c. 1-10 because it meets the exact number needed, and gives the graph a nice, square look

d. 1 because it will give the graph a nice size and perfect range.

Step-by-step explanation:

Answer:

b......................

Answer:

[tex]\huge\boxed{x=-12}[/tex]

Step-by-step explanation:

In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.

Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.

[tex]5(x-9)=7(x-3)\\\\5x-45=7x-21[/tex]

Now we can solve for x.

Subtract 5x from both sides:

[tex]-45=2x-21[/tex]

Add 21 to both sides:

[tex]-24=2x[/tex]

Divide both sides by 2:

[tex]x = -12[/tex]

Hope this helped!

Answer:

[tex]x= -12[/tex]

Step-by-step explanation:

Step 1: Write equation

[tex]\frac{5}{x-3} =\frac{7}{x-9}[/tex]

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

[tex]\frac{5}{-12-3} =\frac{7}{-12-9}[/tex]

[tex]\frac{5}{-15} =\frac{7}{-21}[/tex]

[tex]\frac{-1}{3} =\frac{-1}{3}[/tex]

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Answer:

the answer would be X=0.82