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katovenus [111]
3 years ago
6

Kelly bought a wooden bench marked down from $175 to $154. What percentage is the discount?

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
12 percent

ignore this line my answer needs to be longer
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se vendieron 144 boletos. 2 pesos por adulto y un peso por niño, si se gastaron 207 pesos cuantos boletos de adulto se vendieron
natulia [17]

Answer:

Se vendieron 81 boletos de niños y 63 boletos de adultos.

Step-by-step explanation:

La cantidad de boletos vendidos es igual a:

144 = a + n   (1)

En donde <em>a </em>es por adultos y <em>n</em> por niños

A su vez, el dinero gastado equivale:

207 = 2*a + 1*n   (2)

Resolviendo la ecuación (1) para <em>a:</em>

a = 144 - n   (3)

Introduciendo (3) en la ecuación (2) tenemos:

207 = 2*(144 - n) + n

n = 81

Ahora podemos calcular el numero de boletos de adultos vendidos introduciendo <em>n</em> en la ecuación (3):

a = 144 - n = 144 - 81 = 63

Entonces, se vendieron 81 boletos de niños y 63 boletos de adultos.  

Espero que te sea de utilidad!      

5 0
3 years ago
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel. Explain,
Oksana_A [137]
Answer:
d

Step-by-step explanation:

Slope intercept form: y = mx + b

y = -x + 7
x + y = 21

x + y = 21
-x -x
y = -x + 21


y = -x + 7
y = -x + 21

Parallel lines have the same slope. Here, our slope is -1

Therefore, our final answer is d.


Hope this helps!
8 0
2 years ago
Construct a truth table for the statement ~( p v ~q) <br> pq Truth Table
Likurg_2 [28]

Hello

T for True

F for False

\left|\begin{array}{c|c|c|c|c}p&q&\~q&pv\~q&\~(pv\~q)\\---&---&---&---&---\\T&T&F&T&F\\T&F&T&T&F\\F&T&F&F&T\\F&F&T&T&F\\\end{array}\right|

thanks

4 0
3 years ago
A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
3 years ago
Oil leaked from a tank at a rate of r(t) liters per hour. the rate decreased as time passed, and values of the rate at two hour
Galina-37 [17]
The given data is
t, h:            0     2     4     6     8   10
r(t), L/h:   8.6  7.9  6.8  6.4  5.7  5.3

The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.

The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.

The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L

The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L

Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L

4 0
4 years ago
Read 2 more answers
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