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2 years ago

Solve for x ... please help

Mathematics

1 answer:

Mrac [35]2 years ago

5 0

Answer:

$7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree$

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Oxana [17]

6y has coefficient 6

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2 years ago

Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.

SashulF [63]

<h3><u>Answer</u>:- </h3>

$\longrightarrow \sf \$ \: 307.2$

<h3><u>Solution:-</u></h3>

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

$\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}$

<u>where a is side of the cube </u>

$\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered}$

Now,

$\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5$

$\sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5$

$\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2$

$\leadsto$ Thus it would cost $ 307.2 to paint the entire cubical block.

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2 years ago

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What

dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that $a = 8, b = 15.8$

What is the probability that a production time is between 9.7 and 12 minutes?

$d = 12, c = 9.7$ .

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

$P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949$

29.49% probability that a production time is between 9.7 and 12 minutes

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3 years ago

15/23 - 5/23<br>lets see who can solve

seraphim [82]

Answer:

10/23

Step-by-step explanation:

15/23 - 5/23 = <u>10/23(Ans)</u>

7 0

2 years ago

Read 2 more answers

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

kirill115 [55]

Answer:

AC = 30

Step-by-step explanation:

Start with:

$4x+10=3x-2+2x+7$

Combine like terms.

$4x+10=5x+5$

Subtract $4x$ from both sides of the equation.

$10=x+5$

Subtract $5$ from both sides of the equation.

$x = 5$

Then, substitute $5$ for $x$ in $AC=4x+10$

$AC=4(5)+10$

Multiply.

$AC=20+10$

Finally, add.

$AC=30$

3 0

2 years ago