All categories

2 years ago

Luis has some nickels, dimes, and quarters. The value of all of the coins, in cents, is represented with the expression shown.

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

8 0

Answer:

The part of the expression that represents the number of quarters is;

D. 25·(3·x + 1)

Step-by-step explanation:

From the question, we have;

The values of the coins Luis has = Nickels, Dimes and quarters

The expression that represents the value of all the coins in cents is given as follows;

5(x + 2) + 10·1 + 25·(3·x + 1)

The value of a nickel = 5 cents

The value of a dime = 10 cents

The value of a quarter = 25 cents

Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor

Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).

You might be interested in

A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?

N76 [4]

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

5 0

3 years ago

Simplify<br><br> √12m • √15m<br><br> = [1] m √[2]

Elodia [21]

Answer:

6m√5

Step-by-step explanation:

√(12m)·√(15m) = √(180m²) = √(5·(36m²)) = √5·√(6m)²

= 6m√5 . . . . . . for m ≥ 0

8 0

3 years ago

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is

lana66690 [7]

Answer:

$\{0, 2, 6, 7\}$

Step-by-step explanation:

You are given the relation $G = \{(-1, 7),(-8, 2),(0, 0),(6, 6)\}$

This means that

$f(-1)=7\\ f(-8)=0\\f(0)=0\\f(6)=6$

The input values of this relation are $-1,\ -8,\ 0,\ 6$ , so the domain of this relation is $\{-8,-1,0,6\}$

The output values of this relation are $7,\ 2,\ 0,\ 6$ , so the range of this relation is $\{0, 2, 6, 7\}$

8 0

3 years ago

The problem of matching aircraft to passenger demand on each flight leg is called the flight assignment problem in the airline i

Darina [25.2K]

Answer:

Step-by-step explanation:

Given that the demand for the 6 p.m. flight from Toledo Express Airport to Chicago's O'Hare Airport on Cheapfare Airlines is normally distributed with a mean of 132 passengers and a standard deviation of 42

Let X be the no of passengers who report

X is N(132, 42)

Or Z is $\frac{x-132}{42}$

a) Suppose a Boeing 757 with a capacity of 183 passengers is assigned to this flight.

the probability that the demand will exceed the capacity of this airplane

= $P(X>183) = P(Z>1.21) =$

$=0.5-0.3869\\=0.1131$

b) the probability that the demand for this flight will be at least 80 passengers but no more than 200 passengers

= $P(80\leq x\leq 200)\\= P(-1.23\leq z\leq 1.62)\\$

=0.4474+0.3907

=0.8381

c) the probability that the demand for this flight will be less than 100 passengers

$=P(x$

d) If Cheapfare Airlines wants to limit the probability that this flight is overbooked to 3%, how much capacity should the airplane that is used for this flight have? passengers

= $P(Z>c)=0.03\\c=1.88\\X=132+1.88(42)\\=210.96$

e) 79th percentile of this distribution

= $132+0.81(42)\\= 166.02$

7 0

3 years ago

Angle ABC is inscribed in circle O. Points A, B, and C all lie on the circle, and B is the vertex of angle ABC. Angle ABC measur

viktelen [127]

Answer:

94 degrees

Step-by-step explanation:

Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.

The angle of the arc of an inscribed angle is twice the value of the angle creating it.

Because the distance from the opposite side of the circle is twice longer than coming from the center to create the same arc.

So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.

7 0

3 years ago