?/5 =8/10 type the missing number that makes this fraction equal

In what year was her grandpa lopez twice as old as her dad?show how you know

RoseWind [281]

So,

We are trying to figure out when Grandpa Lopez's age was twice that of Dad.

Let x represent the number of years before/after when G. Lopez's age was twice that of Dad.

66 + x = 2(37 + x)

Distribute.
66 + x = 74 + 2x

Subtract x from both sides.
66 = 74 + x

Subtract 74 from both sides.
-8 = x

So 8 years ago, G. Lopez was twice as old as Dad. Let's check that.

66 - 8 = 58

37 = 8 = 29

29 * 2 = 58
58 = 58

It checks.

8 0

3 years ago

Compare the difference between an independent event and a dependent event.

pshichka [43]

<h2>⚠ANSWER⚠ </h2>

Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring.

↪DEPENDENT EVENT

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events

Robbing a bank and going to jail.
Not paying your power bill on time and having your power cut off.
Boarding a plane first and finding a good seat.
Parking illegally and getting a parking ticket.

↪INDEPENDENT EVENT

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

When two events are independent, one event does not influence the probability of another event.

Simple examples of independent events

Owning a dog and growing your own herb garden.
Paying off your mortgage early and owning a Chevy Cavalier.
Winning the lottery and running out of milk.
Buying a lottery ticket and finding a penny on the floor.

☆...hope this helps...☆

3 0

2 years ago

Think about all of the ways in which a circle and a parabola can intersect.

xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

$\rm (x-h)^2 +(y-k)^2=r^2$

The standard form of the parabola:

$\rm y = a(x-h)^2+k$

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

7 0

2 years ago

jessie sorted the coins in her bank. she made 7 stacks of 6 dimes and 8 stacks of 5 nickels. she then found 1 dime and 1 nickel.

sergiy2304 [10]

You will have 43 dimes and 41 nickels

8 0

3 years ago

Read 2 more answers

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

= 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

= 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

= 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0

3 years ago