Simplify the Following
4×7-63÷9+20​

Answer: 8/11

Step-by-step explanation:

This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.

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Explanation:

There are 16 working bulbs out of 6+16 = 22 bulbs total.

The probability of randomly selecting a working bulb is 16/22

After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.

So we get the answer of

(16/22)*(15/21) = 240/462 = 40/77 which is choice C.

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Extra info:

Answer:

He has 4/35 of with money left

Step-by-step explanation:

1 - 3/5 - 2/7 = 4/35

This basically answers the question

Answer:

I think Substitution

Step-by-step explanation:

Because x is already solved for in the second equation.

Answer: SA = 368

Step-by-step explanation:

Answer:

The surface area of the figure is 368[tex]in^{2}[/tex]

Step-by-step explanation:

To find the surface area of a rectangular prism you must know the formula.

A=2(wl+hl+hw)

Hope this helps!

The gometric means G1, G2, G3, 1/4

Answer:

2x

Step-by-step explanation:

Just solve the function operation:

f/g=(2x/2x+1)/(1/2x+1) = 2x since (2x/1)/(2x+1/2x+1) simplifies to 2x/1 the answer is 2x

Answer:

Step-by-step explanation:

Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be

y = 4x

The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.

Answer:

The answer is A

Step-by-step explanation:

The amount invested at 4% is 1500.

Let x be the amount invested at 4%.

2x be the amount invested at 5%.

0.04x + 0.05(2x) = 210

Multiply by 100 to eliminate decimals

4x + 5(2x) = 21000

Remove parentheses: (a) = a

[tex]4 x+5 \cdot 2 x=21000[/tex]

Multiply the numbers: [tex]$5 \cdot 2=10$[/tex]

4x+10x = 21000

Add similar elements:

4x+10x = 14x

14x=21000

Divide both sides by 14

[tex]$\frac{14 x}{14}=\frac{21000}{14}[/tex]

Simplifying the above equation, we get

x = 1500

The amount invested at 4% is 1500.

Therefore, the correct answer is option B) $1500.

To learn more about amount invested

https://brainly.com/question/2284670

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The question given is incomplete as the information about the headphones isn't given.

However, we can solve the problem by using hypothetical values.

Answer:

Kindly check explanation

Step-by-step explanation:

Given

Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.

Let :

The number of defective headphones = 10

The total number of headphones on the sample = 50

To express as a ratio :

Defective headphones : total headphones

10 : 50 = 1 : 5

To express as a percentage ;

1 / 5 * 100% = 20%

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

Answer:

-1600

Step-by-step explanation:

−4^3(5^2)

5 × 5 = 25

-4 × -4 × -4

   -16 × -4

       -64

64 × 25 = -1600

The answer is -1600

Hope this helped.

Answer:

a = 60°/2 = 30°

b = 84/2 = 42°

c = (100+60)/2 = 80°

d = 360-100-60-84 = 116°

Answered by GAUTHMATH

Answer:  Rational

Explanation:

Any rational number is of the form P/Q, where P and Q are integers

Keep in mind that Q cannot be zero, but P can be.

In this case, P = -7 and Q = 35

Answer:

impossible

Step-by-step explanation:

The sum of the internal angles of the regular polygon and the theorem n-sided polygon is equal to: (n-2)×180° (n is greater than or equal to 3 and n is an integer)

when n=3，The internal angle sum is 180°

Answer:

18π cm

Step-by-step explanation:

The area of a circle is πr²

The circumference of a circle is 2πr

πr² = 81π

or, r² = 81

or, r = √(81)

or, r = ±9

But r=—9 is not acceptable .

so, r = 9 cm

Circumference of the circle is

2πr

= 2π * 9cm

= 18π cm

Answer 18π cm

Step-by-step explanation:

Move expression to the left side and change its sign

5

y

−

3

+

10

y

2

−

y

−

6

−

y

y

+

2

=

0

Write

−

y

as a sum or difference

5

y

−

3

+

10

y

2

+

2

y

−

3

y

−

6

−

y

y

+

2

=

0

Factor out

y

and

−

3

from the expression

5

y

−

3

+

10

y

(

y

+

2

)

−

3

(

y

+

2

)

−

y

y

+

2

=

0

Factor out

y

+

2

from the expression

5

y

−

3

+

10

(

y

+

2

)

(

y

−

3

)

−

y

y

+

2

=

0

Write all numerators above the least common denominator

5

(

y

+

2

)

+

10

−

y

(

y

−

3

)

(

y

+

2

)

(

y

−

3

)

=

0

Distribute

5

and

−

y

through the parenthesis

5

y

+

10

+

10

−

y

2

+

3

y

(

y

+

2

)

(

y

−

3

)

=

0

Collect the like terms

8

y

+

20

−

y

2

(

y

+

2

)

(

y

−

3

)

=

0

Use the commutative property to reorder the terms

−

y

2

+

8

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Write

8

y

as a sum or difference

−

y

2

+

10

y

−

2

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

y

and

−

2

from the expression

−

y

(

y

−

10

)

−

2

(

y

−

10

)

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

(

y

−

10

)

from the expression

−

(

y

−

10

)

(

y

+

2

)

(

y

+

2

)

(

y

−

3

)

=

0

Reduce the fraction with

y

+

2

−

y

−

10

y

−

3

=

0

Determine the sign of the fraction

−

y

−

10

y

−

3

=

0

Simplify

10

−

y

y

−

3

=

0

When the quotient of expressions equals

0

, the numerator has to be

0

10

−

y

=

0

Move the constant,

10

, to the right side and change its sign

−

y

=

−

10

Change the signs on both sides of the equation

y

=

10

Check if the solution is in the defined range

y

=

10

,

y

≠

3

,

y

≠

−

2

∴

y

=

10

Answer:

I think "Product" is the answer. Not really sure.

Answer: 0 and 4

Step-by-step explanation:

Answer:

a) 3x + ky = 8

ky = 8 - 3x

x – 2ky = 5

x - 2(8 - 3x) = 5

x - 16 + 6x = 5

7x = 21

x = 3 (shown)

b) x-2ky = 5

sub x = 3, y = 1/2

3-2k(1/2) = 5

-2k = 2

k = -1

Step-by-step explanation:

If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .

Answer:

Infinite

Step-by-step explanation:

Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.

Answer:

53=-3+14d

56=14d

d=4 that is the common difference

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

Step-by-step explanation:

Answer:

u is 17√2 and v is 17

Step-by-step explanation:

To find u:

[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]

feed in the terms:

[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]

To find v:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

feed in the terms:

[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]

Answer

Step-by-step explanation:

This is because the wild pigs' fertilty rate increased for the past five years,  which caused them to double each year.

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

Answer:

6

Step-by-step explanation:

√6 (√24-√6)

Distribute

sqrt(6) sqrt(24) - sqrt(6)sqrt(6)

sqrt(144) - sqrt(36)

12 - 6

6

Answer:

I assume that we want to complete the statement:

"The maximum profit of $__ dollars is reached when __ items are produced"

We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).

Then we can assume that the profit will be positive in this range.

Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.

If this is the case, we know that the maximum will be at the vertex.

Here we know that the vertex is:

(50, 1000)

Where remember, x represents the number of items and y represents the profit.

So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.

Then the complete statement is:

"The maximum profit of $1000 dollars is reached when 50 items are produced"

Answer:

11

Step-by-step explanation:

On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.

Since the die is being rolled 66 times, we have the following proportion:

[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.

Multiply both sides by 66:

[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]