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m_a_m_a [10]
3 years ago
6

10) 3x + 5(4x – 3) = -61 A) -2 B) -4 C) 6 D) -11

Mathematics
2 answers:
tatuchka [14]3 years ago
5 0

Answer:

A)  -2

Step-by-step explanation:

3x+5(4x-3)= -61

(Distrbute the 4)

3x+20x-15= -61

(Add like terms)

23x-15= -61

(Add opposite)

23x+(-15)= -61

(Do inverse opporation and add 15 which cancels 15 and add it to -61)

23x= -46

(Divide 23 to both sides)

X= =2

skelet666 [1.2K]3 years ago
3 0
3x + 5(4x-3) = -61
3x + 20x - 15 = -61
23x - 15 = -61
23x divided by -46
the answer is A) -2
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55.5% repeating as a decimal​
liberstina [14]

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

5 0
3 years ago
Read 2 more answers
What is the value of 5^4 over 5^6
Tasya [4]
5^4
------
5^6
625
-----
15,625
625/15625=25

7 0
3 years ago
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that one of the cards is red a
alukav5142 [94]
Total cards = 52
Total red cards = 26
Total black cards = 26

P(one red and one black) = P(red and then black)+ P(black and then red)
P(one red and one black) =(26/52)(26/51) + (26/52)(26/51)
P(one red and one black) = 26/51 (Answer A) 

-----------------------------------------------------
Answer: 26/51 (Answer A) 
-----------------------------------------------------
5 0
3 years ago
Write the equation of a piecewise function with a jump discontinuity at x =3. Then, determine which step of the 3-step test for
seraphim [82]

Answer:

Here's a possible example:

Step-by-step explanation:

f(x) =\begin{cases} x & \quad x < 3\\x+3 & \quad x \geq 3\\\end{cases}

Each piece is linear, so the pieces are continuous by themselves.

We need consider only the point at which the pieces meet (x = 3).

\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) = \lim_{x \longrightarrow 3^{-}} x = 3\\\\\displaystyle \lim_{x \longrightarrow 3^{+}} f(x) = \lim_{x \longrightarrow 3^{+}} x+3 = 6\\\\f(3) = x + 3 = 6\\\\\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) \neq f(3)

The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.

5 0
3 years ago
Simplify 3(2x^4*y^5)^2/(6x^3*y^3)^6
Thepotemich [5.8K]

\dfrac{3(2x^4y^5)^2}{(6x^3y^3)^6}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=\dfrac{3(2^2)(x^4)^2(y^5)^2}{6^6(x^3)^6(y^3)^6}=\dfrac{3(4)x^8y^{10}}{46656x^{18}y^{18}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{12x^8y^{10}}{46656x^8x^{10}y^{10}y^8}=\dfrac{1}{3888x^{10}y^8}

7 0
3 years ago
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