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3241004551 [841]
3 years ago
5

Carly is on her sophomore basketball team. She makes 26% of her foul shots, leading her team to 16 wins in 19 games for the seas

on.
If Carly took 65 foul shots during the season, how many shots did she make?
Mathematics
2 answers:
miss Akunina [59]3 years ago
7 0

Answer: There are 250 shots that she made.

Step-by-step explanation:

Since we have given that

Number of foul shots during the season = 65

Let the number of shots she made be 'x'.

According to question, 26% of her foul shots she make.

So, it becomes,

\dfrac{26}{100}\times x=65\\\\0.26\times x=65\\\\x=\dfrac{65}{0.26}\\\\x=250

Hence, there are 250 shots that she made.

irina [24]3 years ago
6 0
26% of 65 is 0.26*65 = 16.90

Carly made 17 of her 65 foul shots.
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Answer:

64

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Step-by-step explanation:

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2 years ago
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Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third
Salsk061 [2.6K]

The number of ways she can choose a password is 3986236800

<h3>In how many ways can she choose a password?</h3>

The given parameters and the possible selection of characters are:

First and last choices are possibly repeated lowercase letters;

There are 26 lower characters.

Since the characters can be repeated, then we have

First = 26

Last = 26

The second and third positions must be distinct uppercase letters

There are 26 upper characters.

Since the characters are distinct, then we have

Second = 26

Third = 25

The fourth position must be a # , $, or & symbol;

So, we have

Fourth = 3

The next four positions are distinct nonzero digits.

There are 9 nonzero digits.

Since the digits are distinct, then we have

Next = 9, 8, 7, 6

The number of ways she can choose a password is

Ways = First * Second * Third * Fourth * Next * Last

So, we have

Ways = 26 * 26 * 25 * 3 * 9 * 8 * 7 * 6 * 26

Evaluate the product

Ways = 3986236800

Hence, the number of ways she can choose a password is 3986236800

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1 year ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
KatRina [158]

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

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3 years ago
State the scale factor of the dilation about the origin of the black image to the blue image
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10<br> TIME REMAINING<br> 50:51<br> What are the solutions of x squared + 6 x minus 6 = 10?
aleksandrvk [35]

Answer:

X = -8 and X = 2

Step-by-step explanation:

X^2 + 6X - 6 = 10

Bring the 10 over:

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From here, either use the quadratic formula or

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Manually:

(X + 8)(X - 2) = 0

Equate each factor to 0 you will get:

X + 8 = 0  and X - 2 = 0

Solutions are -8 and 2 respectively.

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3 years ago
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