Given a conditional statement p 9, which statement is logically equivalent?

Mathematics

1 answer:

Neporo4naja [7]3 years ago

4 0

Answer:

p=9

Step-by-step explanation:

p is equivalent to 9

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Which of the following equations does not represent a true statement

Lena [83]

-6(-3)=18, so that is true

-6+(-3)=-6-3=-9 so that is true

-6-(-3)=-6+3=-3 FALSE

-6 ÷ (-2)=2 so that is true

Answer is C

7 0

4 years ago

Read 2 more answers

Jenna spends $15.04 at the store on notebooks and folders for school. Notebooks cost $4.85 each, and folders cost $0.89 each. Sh

cluponka [151]

Answer:

$\boxed{\text{2 notebooks and 6 folders}}$

Step-by-step explanation:

Let n = number of notebooks

and f = number of fodders

You have a system of two equations:

$\begin{cases}(1)& 4.85n + 0.89f = 15.04\\(2) & n+ f = 8\end{cases}\\\\$

$\begin{array}{lrcll}(3) & f & = & 8-n &\text{Subtracted n from each side of (2)}\\& 4.85n+0.89(8-n) & = & 15.04 &\text{Substituted (3) into (1)}\\& 4.85n+7.12-0.89n & = & 15.04 &\text{Distributed 0.89}\\& 3.96n+7.12 & = & 15.04 &\text{Combined like terms} \\& 3.96n & = & 7.92 & \text{Subtracted 7.12 from each side} \\(4) & n & = & 2 & \text{Divided each side by 3.96}\\& 2+ f & = & 8 & \text{Substituted (4) into (2)}\\& f & = & 6 &\text{Subtracted 2 from each side} \\\end{array}$

Jenna bought $\boxed{\textbf{two notebooks and six folders} }$ .

Check:

$\begin{array}{rclcrcl}4.85\times2+0.89\times6 & =& 15.04 & \qquad &2+6&=&8\\9.70+5.34 & = & 15.04 & \qquad &8&=&8\\15.04& = & 15.04 & & & & \\\end{array}$