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3 years ago

Select the expressions that are equivalent to 5(6x+3)+4x.

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

Answer:

the first 2

Step-by-step explanation:

5(6x + 3) + 4x = (6x + 3)5 + 4x due to the commutative rule of the multiplication (a×b = b×a).

and when you simplify the expression we get

5(6x + 3) + 4x = 30x + 15 + 4x = 34x + 15

so, the first two answer options are correct

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A man buys a racehorse for $20,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If

victus00 [196]

Answer:

The expected profit is $10,600.

Step-by-step explanation:

The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.

In this case, there are four possible outcomes:

1) The horse win both races. The value of the horse will be $100k-$20k=$80k.

The probability of this outcome is:

$P(ww)=P(w1)*P(w2)=0.2*0.3=0.06$

2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.

The probability is:

$P(wl)=P(w1)*(1-P(w2))=0.2*(1-0.3)=0.2*0.7=0.14$

3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.

The probability is:

$P(lw)=(1-P(w1))*P(w2)=(1-0.2)*0.3=0.8*0.3=0.24$

4) The horse lose both races. The value will be $10k-$20k=-$10k.

The probability is:

$P(lw)=(1-P(w1))*(1-P(w2))=(1-0.2)*(1-0.3)=0.8*0.7=0.56$

Then, the expected profit can be calculated as:

$E(x)=\sum\limits^4_{i=1} {p_ix_i}\\\\E(x)=0.06*80,000+0.14*30,000+0.24*30,000+0.56*(-10,000)\\\\E(x)=4,800+4.200+7,200-5,600=10,600$

6 0

3 years ago

The measure of ZJLM is 140°. The measure of ZJKL is 75°.

BigorU [14]

Answer:

65°

Step-by-step explanation:

m∠KJL = 65°

3 0

3 years ago

PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST

Veronika [31]

1. 7 cm
2. 43 cm
Explanation: take the 15m and subtract 8 cm and for 2 add all the sides together to get 43

5 0

2 years ago

Read 2 more answers

Simplify -3d^-8(-4d^-14)

Brut [27]

Answer:

$\large\boxed{12d^{-22}=\dfrac{12}{d^{22}}}$

Step-by-step explanation:

$(-3d^{-8})(-4d^{-14})=\bigg((-3)(-4)\bigg)\bigg((d^{-8})(d^{-14})\bigg)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12d^{-8+(-14)}=12d^{-22}$

$\text{You can use}\ a^{-n}=\dfrac{1}{a^n}\\\\12d^{-22}=12\cdot\dfrac{1}{d^{22}}=\dfrac{12}{d^{22}}$

7 0

3 years ago

Read 2 more answers

What is the equation of the following line? Be sure to scroll down first to see all answer options. 10 (2, 10) (0, 0) - 10 10 2

sashaice [31]

to get the the equation of any straight line, we only need two points off of it, let's use the two points already in the picture.

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{2}}}\implies \cfrac{-10}{-2}\implies 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{5}(x-\stackrel{x_1}{2}) \\\\\\ y-10=5x-10\implies y=5x$

6 0

3 years ago