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3 years ago

Dentify the percent, amount, and base in this problem. 75% of what number is 30?

Mathematics

2 answers:

anastassius [24]3 years ago

7 0

Answer:

Step-by-step explanation:

This is essentially just (4/3), or $\frac{3}{4}^{-1}$ . (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

kkurt [141]3 years ago

5 0

For this case we must find a number of which 30 represents 75%. For this, we make a rule of three:

x ------------> 100%

30 ----------> 75%

Where the variable "x" determines the base number of which 30 is 75%

$x = \frac {100 * 30} {75}\\\\$

$x=40$

Thus, 30 represents 75% of 40.

Answer:

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Answer:

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B49%7D%20" id="TexFormula1" title=" \sqrt{49} " alt=" \sqrt{49} " align="absmiddle

Zinaida [17]

Root of 49

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A negative number multiplied by itself gives positive
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3 years ago

The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y = 0.75x +3, where x is

Gemiola [76]

Answer:

Yes, the relation is a function.

Step-by-step explanation:

Given:

The equation that represents the cost of riding a cab is given as:

$y=0.75x+3$

Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.

The above equation represents a line as it is of the form $y=mx+b$ which represents a line with constant slope.

Now, in order to plot this equation, we need at least two points.

Now, let $x =0$ , then

$y=0.75(0)+3=3$ . So, (0, 3) is a point on the line.

Let $x =1$ , then

$y=0.75(1)+3=3.75$ . So, (1, 3.75) is a point on the line.

Plot these two points on a graph and draw a line passing through these two points.

Now, for a relation to be a function, it should pass the vertical line test.

According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.

Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.

8 0

3 years ago

How do i figure out 9 1/6 - 8 5/6<br> and 10 3/4 - 6 4/4?

Westkost [7]

Answer:

1) $9\frac{1}{6}-8\frac{5}{6}=\frac{1}{3}$

2) $10\frac{3}{4}-6\frac{4}{4}=3\frac{3}{4}$

Step-by-step explanation:

You can convert he mixed numbers to improper fractions:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained to the numerator.

3. The denominator does not change.

Then:

$9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}$

Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:

$1)\ \frac{55}{6}-\frac{53}{6}=\frac{55-53}{6}= \frac{2}{6}=\frac{1}{3} \\\\2)\ \frac{43}{4}-\frac{28}{4}=\frac{43-28}{4}= \frac{15}{4}$

Divide 15 by 4. The quotient will be 3 and the remainder 3.

Then:

$\frac{15}{4}=3\frac{3}{4}$

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3 years ago