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3 years ago

Sue answers 43 out of 60 questions correctly. What percentage of her answers are incorrect?

Mathematics

2 answers:

eduard3 years ago

8 0

Answer:

28 1/3 %

Step-by-step explanation:

60-43 = 17 answers INCORRECT

17/60 * 100 = 28 and 1/3 %

nirvana33 [79]3 years ago

8 0

Answer: 28.(3) 3 is repeating

Step-by-step explanation: When we start this problem, we should find out what answers Sue answered incorrectly. Since the problem already tells us that she answered 43 of them correctly(out of 60), all we need to do is subtract: 60-43

That’s when we learn that Sue answered 17 of the 60 questions incorrectly. Now, we need to convert 17/60 into a percentage.

If you didn’t know, in order to convert a fraction into a percentage, you have to first divide the numerator by the denominator, then multiply by 100.

So, 17 divided by 60 will give us 0.28(3). (The reason I put a parenthesis around 3 is that it is a repeating number). After, we have to multiple that decimal by 100 or simply move the decimal point by 2 places. Therefore, we get: 28.(3)

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A line that has a rise of -34 and a run of 20.

aleksandr82 [10.1K]

Answer:

$y=-1.7x-34$

Step-by-step explanation:

An equation of a line is given $y=mx+c$ , where m is the gradient or $\frac{Rise}{Run}$

The rise indicates the change in value of y (vertical change in the graph).

The run indicates the change in value of x (horizontal change in the graph).

Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).

$m =\frac{Rise}{Run} \\ =\frac{-34}{20}\\ =-1.7$

Substitute point 1 into the graph to get the constant c.

$y=mx+c$

$-34=(-1.7)*(0)+c$

$c=-34$

∴ The equation of the line is, $y=-1.7x-34$

7 0

3 years ago

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65.

Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

$s=93\log d+65$

Compute the value of d for s = 280 as follows:

$s=93\log d+65$

$280=93\log d+65$

$93\log d=280-65\\93\log d=215$

$\log d=2.312\\$

$d=10^{2.312}\\d=205.035\\d\approx 205$

Thus, the distance the tornado traveled was approximately 205 miles.

7 0

3 years ago

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Art [367]

Answer:

The volume of hemisphere is 19.4 cubic meter.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.

Therefore, the volume of hemisphere is 19.4 cubic meter.

3 0

3 years ago

Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution,

Gnom [1K]

Answer:

x1=-4/5, x2=18/5 and x3=7/5

Step-by-step explanation:

$\left[\begin{array}{ccc|c}1&0&-3&-5\\3&1&2&4\\2&2&1&7\end{array}\right]$

you can do linear combination between the rows:

2nd row=R2-3R1 and 3th row=R3-2R1

$\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&2&7&17\end{array}\right]$

3th row=(3R2-R3)/15

$\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&0&1&\frac{7}{5} \end{array}\right]$

1st row=R1+3R3 and R2-11R3

$\left[\begin{array}{ccc|c}1&0&0&-4/5 \\0&1&0&18/5 \\0&0&1&7/5\end{array}\right]$

x1=-4/5, x2=18/5 and x3=7/5

6 0

3 years ago

A tax cut ________ aggregate demand and ________. A. decreases; shifts the AD curve leftward B. decreases; shifts the AD curve r

aksik [14]

Answer:

E. increases; shifts the AD curve rightward

Step-by-step explanation:

Tax cut means lower tax income tax rates, that mean individuals will have more of their income, that is more money to spend leading to increase in aggregate demand. This will lead to a rise (increase) in the aggregate demand curve which implies rightward movement.

5 0

4 years ago