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Zielflug [23.3K]
2 years ago
13

Madi has $8.80 in pennies and nickels.

Mathematics
1 answer:
shepuryov [24]2 years ago
7 0
Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.
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What two things did the delegates disagree about that forced them to make compromises
irakobra [83]
The number of representatives each state had and slaves being counted as part of the population are the two things did the delegates disagree about that forced them to make compromises. In addition, the legislative, executive and judicial branch is the three branches of the government that is created by the new constitution.
8 0
2 years ago
If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to
Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}

with parameter λ=2, then P(X≥1) is equal to:

P(x\geq 1) = e^{-2*1}=0.1353

D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

P(2\leq x \leq 4) = P(x \leq 4) - P(x\leq 2)\\P(2\leq x \leq 4) =1 - (e^{-1.5*4}) - (1-(e^{-1.5*2}))\\P(2\leq x \leq 4) = 0.0473

B. 0.0473

7 0
2 years ago
A triangle has interior angles measuring 36° and 112°. Which triangles are similar to this triangle? Select True or False for ea
morpeh [17]
Hi there!

Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees. 

180 - 112 - 36 = 32

So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.

<span>triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - </span>false

Hope this helps!
3 0
2 years ago
Read 2 more answers
A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the
olga nikolaevna [1]

Answer:

The range stays the same.

The domain stays the same.  

Step-by-step explanation:

The function f(x)=ab^{x} is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.

Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.

6 0
2 years ago
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maria and her sister each have a salad and a drink for lunch at a restaurant. a salad costs $4.75 and a drink costs $1.65. what
oksano4ka [1.4K]
The salads in total are $9.50
The waters in total are $3.30

together the total cost is $12.80

First, convert the 15% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 15%) by 100%. So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $12.80 meal cost is. This is always done by multiplying 0.15 by $12.80, or

0.15 x $12.80=$1.92.

So, the amount of tip you are going to leave is $1.92.

This makes the total cost of your meal (to write on your charge slip or other payment)

<span>$12.80 + $1.92 = $14.72.</span>




8 0
2 years ago
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