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zzz [600]
3 years ago
10

You randomly select one card from a​ 52-card deck. Find the probability of selecting the five of spades or the seven of clubs .

Mathematics
1 answer:
Andrew [12]3 years ago
4 0
The probability of getting either card is 1/52
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John has a jar filled with 150 coins made up of quarters and nickels. The total value of coins is $26.70. How many quarters and
MrMuchimi

Let n be the number of nickels and q be the number of quarters in the jar.

Worth of each nickle is $0.05 and worth of each quarter is $0.25. So worth of n nickles will be 0.05n and worth of q quarters will be 0.25q.

There are 150 total coins in the jar. So we can write the equation as:

n + q = 150 (Equation 1)

Total value of coins is $26.70. So we can write the equation as:

0.05n + 0.25q = 26.70 (Equation 2)

From Equation 1 value of n comes out to be n = 150 - q. Using this value in Equation 2, we get:

0.05(150-q)+0.25q=26.70\\ \\  7.5-0.05q+0.25q=26.70\\ \\  0.20q=19.20\\ \\  q=96

Using the value of q in Equation 1, we get the value of n to be 54.

This means, John has 54 nickles and 96 quarters in the jar.

8 0
4 years ago
Which triangle correctly shows that the side opposite the larger angle is the larger side?
user100 [1]

Answer:

A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The sum of a number and six is seven times the number
olga_2 [115]
The answer is D. I hope this helps love! :)


7 0
3 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
4 years ago
Need help ASAP
xz_007 [3.2K]

Answer:

Alternate Interior angles! ? = 50 :)

Step-by-step explanation:

They are both interior, and they are alternate, so the type of angle pair is an alternate interior angles pair!

Relationship: They are congruent to each other!

They are also both equal! :)

7 0
3 years ago
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