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3 years ago

100 points. Math Question

Mathematics

2 answers:

Over [174]3 years ago

7 0

Answer:

The answer is 2.

Step-by-step explanation:

topjm [15]3 years ago

5 0

The answer is -2. Hope this helps

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What is the solution to the equations 2x+5y=20, 6x-5y=12

denis-greek [22]

Answer:

x = 4, y = 12/5

Step-by-step explanation:

2x+5y = 20

6x-5y = 12

----------------- (+)

8x = 32 => x = 32/8 => x = 4

2·4+5y = 20 => 8+5y = 20 => 5y = 12 => y = 12/5

7 0

3 years ago

E + 1 13/16 = 2 5/16

Burka [1]

e + 1 13/16 = 2 5/16

subtract 1 13/16 from each side

e = 2 5/16 - 1 13/16

borrow from the 2

e = 1 16/16 + 5 /16 - 1 13/16

e = 1 21/16-1 13/16

e = 1 8 /16

e = 1 1/2

7 0

3 years ago

What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2

lubasha [3.4K]

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2} \end{gathered}$}$

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

Add 4 and 3 to get 7.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

Use the distributive property to multiply −4 times x 4/7.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

Multiply −4 by 4/7.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=-50 } \end{gathered}$}$

Add 7 to both sides.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}$

The fraction $\bf{\frac{-43}{-4}}$ can be simplified to $\bf{\frac{43}{4}}$ by removing the negative sign from the numerator and denominator.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}$

simplify

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}$

<h2>{ Pisces04 }</h2>

8 0

2 years ago

Read 2 more answers

A family consisting of three persons—A, B, and C—goes to a medical clinic that always has a doctor at each of stations 1, 2, and

Free_Kalibri [48]

Answer:

Step-by-step explanation:

When A, B,C are equally likely to be assigned to any one of the stations 1,2 or 3

we find that each one assigned to one station has probability 1/3

Also each person is independent of the other.

Probability that

a) All three family members are assigned to the same station

= P(ABC) to same station

= P(ABC) to 1+P(ABC) to 2 +P(ABC) to 3

=3*P(A)P(B)P(C) since independent

= $3*(\frac{1}{3} )^3\\=\frac{1}{9}$

b) This would be equivalent to 1- all 3 to the same station

= $1-\frac{1}{9} \\=\frac{8}{9}$

c) Every member to a different station

A has 3 choices while B has remaining 2 and C has 1

Hence prob = $\frac{3*2*1}{3*3*3} =\frac{2}{9}$

7 0

3 years ago

Which expression is equivalent? −9(−2x − 3) A) 18x + 27 B) 18x − 27 C) −18x + 27 D) −18x − 27

german

If you expand -9(-2x-3) you get 18x+27 (a minus times a minus is a positive) so the answer is A.

6 0

4 years ago

Read 2 more answers