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3 years ago

Solve -8=x+11 divided by -2 please and thank you

1 answer:

4 0

Answer:

Explanation:

-8 = (x + 11)/2
-8 • 2 = x + 11
-16 = x + 11
-16 - 11 = x
-27 = x
Or x = -27

Check:
-8 = (-27 + 11)/2
-8 = -16/2
-8 = -8

Therefore, x = -27

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zaharov [31]

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2 years ago

Boats from all along the Atlantic coast were moored at a busy marina one summer day. Of the 14 boats at the marina, 7 were from

Bogdan [553]

Answer:

1/2 Or 7/14

Step-by-step explanation:

14 divided by 7 is 2, which means that 1/2 of the boats that came in were from Rhode Island.

6 0

3 years ago

In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b

AlekseyPX

Answer:

The value of $b$ is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

$y = m\cdot x + k$

Where:

$x$ , $y$ - Independent and dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$k$ - y-intercept, dimensionless.

Given that line $l$ is perpendicular to $y = -\frac{2}{3}\cdot y$ , the slope is equal to:

$m = -\frac{1}{m_{\perp}}$

Where $m_{\perp}$ is the slope of the perpendicular line, dimensionless.

If $m_{\perp} = -\frac{2}{3}$ , then:

$m = -\frac{1}{\left(-\frac{2}{3}\right) }$

$m = \frac{3}{2}$

If $x = 0$ and $y = -13$ , the y-intercept of the line $l$ is:

$-13 = \frac{3}{2}\cdot (0) +k$

$k = -13$

The equation of the line $l$ is $y = \frac{3}{2}\cdot x -13$ . Given that $y = b$ and $x = 10$ , the value of $b$ is:

$b = \frac{3}{2}\cdot (10)-13$

$b = 15-13$

$b = 2$

The value of $b$ is 2.

5 0

3 years ago

Plsss help!! Work this travel problem based on the data provided in the table. Choose the correct answer.

Shalnov [3]

Answer:

option 2

52.1

Step-by-step explanation:

Peak season economy air fare: $526.30

30-day excrusion ship fare: $345.95

To know the percentage with respect, we only have to put the most expensive value divided by the smallest value multiplied by one hundred, this will tell us what percentage you have with each other

526.30 / 345.95 * 100 =

1.5213 * 100 =

152.13

Now to know only the percentage that increased, we have to subtract 100 that would be the base value

152.13 - 100 = 52.13

52.1

4 0

3 years ago

Math To Do Ready

emmasim [6.3K]

Answer:

At 1pm, the number of bacteria in the dish is 1,000,000

At 12pm, the number of bacteria in the dish is 500,000

Step-by-step explanation:

Given the information on the table

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&\\1 p.m.&\\12 p.m.&\\2 p.m.&\\3 p.m.&\\4 p.m.&\\5 p.m.&32\\6 p.m.&64\end{array}\right|$

We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.

Now:

$32=2^5\\64=2^6$

It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&2^{-1}=0.5\\1 p.m.&2^0=1\\12 p.m.&2^1=2\\2 p.m.&2^2=4\\3 p.m.&2^3=8\\4 p.m.&2^4=16\\5 p.m.&2^5=32\\6 p.m.&2^6=64\end{array}\right|$

Therefore:

At 1pm, the number of bacteria in the dish is 1,000,000
At 12pm, the number of bacteria is 0.5 million=0.5 X 1,000,000=500,000

3 0

2 years ago