Expand and simplify x(x-5)(x-3)

Answer:

y = -5x + 15

Step-by-step explanation:

10x + 2y = 30

Subtract 10x from both sides.

2y = -10x + 30

Divide both sides by 2.

y = -5x + 15

Answer:

904.78 m²

Step-by-step explanation:

Volume of a cylinder is

πr^2h

since radius is half diameter, 12/2=6

fill in

π(6)^2(8)

solve

π36(8)

288π

≈904.78

Answer:

No, the given distribution does not represents a probability distribution.

Step-by-step explanation:

In a probability distribution the sum of all the probabilities in a discrete probability distribution must add up to 1 and each individual probability can never be negative or greater than.

Here, P(3) = -3, which is negative, so, the given distribution does not represents a probability distribution.

Answer:

The interest is $1350 and the amount is $5850.

Step-by-step explanation:

STEP 1: Find an interest by using the formula I = P*I*T, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example P = $4500, i = 7.5% and t = 4 years, so

4500*0.075*4

I = 1350

STEP 2: Find an amount by using the formula .

Since P = $4500 and I = $1350 we have

$4500 + $1350 = $5850

Answer: 3c - 5

Step-by-step explanation:

Since c represent the number of cookies that Mark made. We are then informed that Peter made five less than triple as many cookies as Mark. This will be:

= (3 × c) - 5

= 3c - 5

The expression is 3c - 5

Answer:

15.6

Step-by-step explanation:

the traingle is right so u have to apply the pythagorean theorem to find x so x^2=10^2+12^2=244

so x=15.6

Step-by-step explanation:

hope it's helpful ❤❤❤❤

THANK YOU.

Answer: x=4y+18

Step-by-step explanation:

Let's solve for x.

4y+18=x

Step 1: Flip the equation.

x=4y+18

Answer:

The real answer is b:)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

7x=14

[tex] \frac{7x}{7} = \frac{14}{7} [/tex]

x=2

hope it's helpful ❤❤❤

THANK YOU.

Answer: $76,244.51

Step-by-step explanation:

You need to use the compound interest formula here.

First of all however, you need to convert the terms to monthly figures because the interest is compounded monthly.

4% in months = 4 / 12 = 4/12%

6 years = 6 * 12 = 72 months

Now use the compound interest formula:

= Amount * (1 + rate) ^ number of years

= 60,000 * ( 1 + 4/12%) ⁷²

= $76,244.51

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3+(-4)-8-(-1)  Equation/Question

Step 2

3+(-4)-8-(-1) Simplify

-9-(-1)

Step 3

-9-(-1)  Subtract them

-9-1

Answer

-8

Hope this helps

Answer:

The solutions to the quadratic equations will be:

[tex]x=\sqrt{57}+6,\:x=-\sqrt{57}+6[/tex]

Step-by-step explanation:

Given the expression

[tex]x^2-12x\:=\:21[/tex]

Let us solve the equation by completing the square

[tex]x^2-12x\:=\:21[/tex]

Add (-6)² to both sides

[tex]x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2[/tex]

simplify

[tex]x^2-12x+\left(-6\right)^2=57[/tex]

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

[tex]x^2-12x+\left(-6\right)^2=\left(x-6\right)^2[/tex]

so the expression becomes

[tex]\left(x-6\right)^2=57[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x-6=\sqrt{57}[/tex]

add 6 to both sides

[tex]x-6+6=\sqrt{57}+6[/tex]

Simplify

[tex]x=\sqrt{57}+6[/tex]

also solving

[tex]x-6=-\sqrt{57}[/tex]

add 6 to both sides

[tex]x-6+6=-\sqrt{57}+6[/tex]

Simplify

[tex]x=-\sqrt{57}+6[/tex]

Therefore, the solutions to the quadratic equation will be:

[tex]x=\sqrt{57}+6,\:x=-\sqrt{57}+6[/tex]

Answer:

B yes, because 15-8=7 is true

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

if x = 8

then, 15 - 8 = 7

Answer:

25.25

Step-by-step explanation:

4h + 5 = 106

4h = 101 ^ Subtraction property of equality

101 ÷ 4 = 25.25

h = 25.25

Answer:

h = 25.25

Step-by-step explanation:

4h + 5 = 106

Subtract 5 from both sides to isolate the coefficient and variable:

4h = 101

Divide 4 to both sides to isolate the variable:

101 divided by 4 = 25.25

Checking my work:

Since h = 25.25, we would replace that number where h is

4(25.25) + 5 =

4(25.25) = 101

101 + 5 = 106

Therefore, the answer h = 25.25 is true

Step-by-step explanation:

The L.C.M of any numbers can be obtained by using two methods and they are :

The steps for finding L.C.M of the given numbers by prime factorization method are mentioned below :

The steps for finding L.C.M of the given numbers by division method are mentioned below :

( According to me , Prime factorization method is kinda easy )

Example : L.C.M of 20 and 24

[tex] \underline{ \text{USING \: PRIME \: FACTORIZATION \: METHOD}} : [/tex]

20 = 2 × 2 × 5

24 = 2 × 2 × 2 × 3

L.C.M = Common factors × Remaining factors

= 2 × 2 × 5 × 2 × 3

= [tex] \boxed{ \text{120}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have 90 students

30% are 6th graders

90*30/100=2700/100=27 students

Answer:

The answer would be 6 because you need to multiply 24 and 25 then divide by 100 to get an answer of 6 new members to the swim team.

Answer:

d . B and C are bigger than 25 and 24 wouldn't make sense

Answer:

no this is impossible friend

Answer:

1. 2x+8

2. 3x-6

3. -6x-3

Step-by-step explanation:

I dunno what you're supposed to do for the modeling, but I simplified the expressions

Answer:

s=4.75

Step-by-step explanation:

Just substitute the given variable values into the original equation

s=10•½+½•-2•½²

s=5+-1•¼

s=5+-¼

s=-4.75

Answer:

a. 30 degrees

b. 60 degrees

c. 105 degrees

Step-by-step explanation:

Angle a is 30 degrees becuase it is congruent to the one right above it

Angle b is 60 degrees because the interior angles of a triangle always add up to 180. We know that angle a is 30 degrees and the angle with the mini square is a right angle, and right angles are always 90 degrees. Based on this information, we can subtract 90 from 180 followed by subtracting 30 from 90, which equals 60. Angle b is 60 degrees

Angle c is 105 degrees because a straight angle is 180 degrees. We know that one angle is 75, so we subtract 75 from 180 to get the difference. The difference is 105 degrees, which is also the measurement of angle c.

Hope this helps!

Answer:

I think it's False

Step-by-step explanation:

i just can't tell if the decrease need to be cut in half or not.

Answer:

FV= $819.03

Step-by-step explanation:

Giving the following information:

Initial investment= $600

Number of periods= 5*12= 60 months

Interest rate= 0.062/12= 0.0052

To calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

FV= 600*(1.0052^60)

FV= $819.03

Answer:

x ≥ −42

Step-by-step explanation:

Let's solve your inequality step-by-step.

x/7≥−6

Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{7}x\geq -6[/tex]

Step 2: Multiply both sides by 7.

[tex]7*(\frac{1}{7}x)\geq (7)*(-6)[/tex]

x ≥ −42

Answer:29% or 30% rounded up

Step-by-step explanation:

Answer:

That guy is correct a because its both greater than and equal to 8

Answer:

the whole number is 1.09842519685

that is in meters

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

$1.89

Step-by-step explanation:

1) 8p+3f=$10.39

2) 5p+4f=$10.51

where p represents pencil & f represents folder.

multiply the first equation by 5 and the second equation by 8.

40p+15f=$51.95

40p+32f=$84.08

Subtract

17f=$32.13

f=$32.13/17 =$1.89

Answer:

$1.89

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

B......................