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3 years ago

Simplify. 4a(6) + 3a

Mathematics

2 answers:

Iteru [2.4K]3 years ago

8 0

Answer: 27a

Step-by-step explanation:

1. Simplify 4a×6 to 24a.

24a+3a

2. Simplify.

27a

ratelena [41]3 years ago

8 0

Answer:

24a+3a=27a

Step-by-step explanation:

4x6=24

24+3= 27

Not 100% sure but I hope it helps

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Find the domain of ( (a+b/b) − (a/a+b))÷( (a+b/a) − (b/a+b) )

Alexandra [31]

Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

$(\frac{a + b}{b} - \frac{a}{a + b}) \div ( \frac{a + b}{a} - \frac{b}{a + b})$

$(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})$

$\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}$

$\implies \frac{a}{b}$

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

7 0

3 years ago

Read 2 more answers

Which value is NOT equivalent to 135%?

Margarita [4]

D. 100/135 the rest of them equal 135%

4 0

3 years ago

Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

2 years ago

What is the lcm of 16, 24 and 40

ivann1987 [24]

The answer is 240

Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

First we will find LCM for first two numbers ( 16 and24 ).

Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.

Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )

Step 3: Divide the 384 with 8. (384/8 = 48)

So, the LCM of 16 and 24 is 48.

Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.

The result of this part is 240

8 0

3 years ago

I need help on 9-11 please

lisabon 2012 [21]

Hello! I would love to help!

9. Basically, it is asking us to multiply 5.2 by 46.

5.2*46=239.2

So, your answer is 239.2 inches.

10. First, let's find out how many blocks she has left to run by subtracting the number of blocks she has already ran by the number of total blocks.

60-18=42

So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.

42/2=21

So, the answer is 21 minutes.

11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:

49.95+0.15m=61.20

Let's solve! Subtract both sides by 49.95

49.95+0.15m-49.95=61.20-49.95

Simplify

0.15m=11.25

Now, divide both sides by 0.15

0.15m/0.15=11.25/0.15

M=75

So your answer is 75 additional minutes.

Hope this helped! Comment if you have questions!

5 0

3 years ago