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alina1380 [7]
2 years ago
6

On Monday a shop receives $60.30 by selling bottles of water at 45 cents each

Mathematics
2 answers:
rusak2 [61]2 years ago
8 0

Answer:

134 bottles

Step-by-step explanation:

conversion of dollars to cent:

$1 equals to 100 cents.

$60.30 will be (60.30*100) cents → 6030 cents

Bottles sold: total money / each bottle cost.
                  →   6030  /  45
                  →   134

So 134 bottles are sold for 45 cents to earn $60.30 or 6030 cents.

True [87]2 years ago
5 0

Answer:

134 bottles

Step-by-step explanation:

For this, I set up a proportion :

60.30/x = 0.45/1

60.30(1) = 0.45x

60.30/0.45 = 0.45x/0.45

x = 134 :)

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Solve the inequality both algebraically and graphically. Draw a number line graph of the solution and give interval notation.
Lemur [1.5K]
Finding the solution algebraically

To answer this inequality, we can follow the next steps:

1. Multiply by 7 both sides of the inequality:

7\cdot\frac{(x-7)}{2}

2. Multiply by 2 both sides of the inequality:

7\cdot2\cdot^{\cdot}\frac{(x-7)}{2}

3. Apply the distributive property at the left side of the inequality:

7\cdot x-7\cdot7

4. Add 49 to both sides of the inequality:

7x-49+49

5. Finally, divide both sides of the inequality by 7:

\frac{7x}{7}

We can graph this inequality in the number line as follows:

Notice the parenthesis indicating that the solution is the number below 131/7 (but not equal to 131/7). <em>In interval notation the solution is</em>:

(-\infty,\frac{131}{7})(-\infty,18\frac{5}{7})

Or, approximately:

(-\infty,18.7142857143)

The number 131/7 in decimal is equivalent to 18.7142857143, so the graph of the solution is given by graph A (we can see that there are seven divisions between 18 and 19; since we have that the shaded division is in the 5th division, then, we have 5/7 = 0.714285714286, that is, the decimal part of the above number).

We can express the number 131/7 as a mixed number as follows:

\frac{131}{7}=\frac{126}{7}+\frac{5}{7}=18+\frac{5}{7}=18\frac{5}{7}

Again, <em>notice also the symbol for the left part of the interval notation is a parenthesis since the interval is open at the point 131/7 = 18 + 5/7</em>.

Finding the solution graphically

To find the solution graphically, we can represent the inequality as two lines as follows:

y=\frac{x-7}{2},y=\frac{41}{7}

Then, if we graph the first line, we can find the x- and the y-intercepts to find two points to graph the line. We have that the x- and the y-intercepts are:

The x-intercept is (that is, when y = 0):

0=\frac{x-7}{2}\Rightarrow x-7=0\Rightarrow x=7

Then, the x-intercept is (7, 0), and the y-intercept (the point on the graph when x = 0) is:

y=\frac{x-7}{2}\Rightarrow y=\frac{0-7}{2}\Rightarrow y=-\frac{7}{2}

Then, the y-intercept is (0, -7/2).

The other line is given by:

y=\frac{41}{7}=\frac{35}{7}+\frac{6}{7}=5\frac{6}{7}

With this information, we can graph both lines:

And we can see that the point where the two lines coincide is:

(\frac{131}{7},\frac{41}{7})

Then, <em>the values for x of the line (x-7)/2 [that is, the values of y = (x-7)/2] that are less than y = 41/7, represented as</em>:

\frac{(x-7)}{2}

Are those values of x less than 131/7, or the solution is also (we express the solution as a fraction or a mixed number as follows) (the same solution):

(-\infty,\frac{131}{7})or(-\infty,18\frac{5}{7})

In summary, we have that the solution to the inequality is:

As an inequality:

x

In interval notation:

(-\infty,18\frac{5}{7})or(-\infty,\frac{131}{7})

And the representation of the solution on the number line is (option A):

4 0
1 year ago
What is the volume of a rectangular prism with the base of 15 inches, width of 3 inches, and height of 8 inches
Anvisha [2.4K]

Answer:

360

Step-by-step explanation:

v = length x width x height

v = 15 x 8 x 3

v = 360

5 0
3 years ago
Acceleration is sometimes expressed in multiples of g, where is the acceleration of an object due to the earth's gravity. In a c
katen-ka-za [31]
<h2>Answer:</h2>

<em><u>Driver experiences 17.68 G's on an average.</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

We know that in a car crash the speed of the car goes from the <u>speed of 26 m/s to 0 m/s</u> in <u>0.15 seconds</u>.

So,

The final speed, v = 0 m/s

Initial speed, u = 26 m/s

Also,

Time in seconds, t = 0.15 s

So,

Using the equation of law of the motion, we get,

v = u + at

0 = 26 + a(0.15)

a = -26/0.15

<u>a = -173.33 m/s²</u>

As, there is deceleration of the car is taking place the acceleration is in negative.

Now,

To convert it into the force in the <u>G's</u> we need to divide the <u>deceleration</u> by the <u>acceleration (gravity), g.</u>

So,

<u>G's experienced by the driver on an average</u> is given by,

\frac{173.33}{9.8}=17.68

<em><u>Therefore, on an average the driver experiences 17.68 G's.</u></em>

3 0
3 years ago
Round 3.0188 to nearest thousandths
MakcuM [25]
3.019 because if the digit after the place you're looking at is 5 or more then you round up.
3 0
3 years ago
Read 2 more answers
Three electrical appliances each have power ratings of
Natasha_Volkova [10]
30+8/5=31.6 you have to break the whole question down to get the answer.
7 0
3 years ago
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