Which of the following expressions could be used to find 80% of X (the lines are there to show the different expressions)

Answer:

36 tickets

Step-by-step explanation:

At a city museum, child tickets are sold for $5.30, and adult tickets are sold for $9.40

The total sales that were made are $1206

Let x represent the number of child tickets that were sold

Let y represent the number of adult tickets that was sold

5.30x +9.40y= 1206

The number of adult tickets sold was three times greater than the child tickets

y= 3x

Substitute 3x for y in the equation

5.30x + 9.40y= 1206

5.30x + 9.40(3x)= 1206

5.30x + 28.2x= 1206

33.5x= 1206

Divide both sides by the coefficient of x which is 33.5

33.5x/33.5= 1206/33.5

x = 36

Hence the number of child tickets that were sold that day is 36 tickets

Answer:

62

Step-by-step explanation:

Turn 4 and 1/2 into a decimal.

4.5

Divide 279 by 4.5

279/4.5=62

You can cut 62 4 and 1/2 inch pieces.

Answer:

To find the x-intercept, simply plug in the value y = 0 into your equation and then solve for x. To find the y-intercept, plug in x = 0 and solve for y.

Answer: n = 2401

Step-by-step explanation:

Given;

Confidence level = 2% - 99%

n = ? ( which is the sample size is unknown ).

Solution:

Where;

n = [z/E]^2*pq

Since no known value for ( p ) estimate is given, the "least biased" estimate is p = 1/2

Substituting the given data into the formula.

n = [1.96/0.02]^2(1/2)(1/2)

n = 2401

The minimum number of truck drivers the statistician needs to sample for an accurate result is 2401

Answer:

Step-by-step explanation:

cool

Hello!

Answer:

Choice 1.

Step-by-step explanation:

We can go through each answer choice and examine whether it represents the question:

1) This does not represent the question because 10% of 6 is 0.6. The question is asking to find a number that 6 = 10% of, not finding 10% of 6.

2) Correct because a number multiplied by 10%, or 0.1, should be equal to 6 to answer the question.

3) Correct because 6 is equivalent to 10% of the answer, which is stated in this answer choice.

4) Correct because 6 should be 10% of the answer.

Therefore, the incorrect choice would be Choice 1.

Answer:

23 dimes; 32 nickel

Step-by-step explanation:

Let n = number of nickels.

Let d = number of dimes.

A nickel is worth $0.05; n nickels are worth 0.05n.

A dime is worth $0.10; d dimes are worth 0.1d.

Number of coins:

d + n = 55

Value of the coins:

0.1d + 0.05n = 3.9

Solve d + n = 55 for d:

d = 55 - n

Substitute 55 - n for d in second equation.

0.1(55 - n) + 0.05n = 3.9

5.5 - 0.1n + 0.05n = 3.9

-0.05n = -1.6

n = 32

Substitute 32 for n in d + n = 55 and solve for d.

d + 32 = 55

d = 23

Answer: 23 dimes; 32 nickel

Answer:

it took 7 hours for the bread to drop at a constent rate

Step-by-step explanation:

Answer:

(4, 4)

Step-by-step explanation:

All you really need to do is multiply C's original coordinates with the scale factor. So (2, 2), becomes (4, 4).

Answer:

( 4 , 4 )

Step-by-step explanation:

original C coordinates : ( 2 , 2 )

since the problem is telling us to dilate by the factor of 2 we multiply both 2's by 2.

( 2 ‧ 2 ) ( 2 ‧ 2 )

= ( 4 , 4 )

Answer:

Subtract c from each side, using the subtraction property of equality

Step-by-step explanation:

0 = ax^2 + bx + c

Subtract c from each side, using the subtraction property of equality

-c = ax^2 + bx + c-c

-c = ax^2 + bx

Answer:

subtract c from each side, so the answer would be D

Answer:

[tex]D(21) = 1.612\ ft[/tex]

Step-by-step explanation:

The question has missing details;

[tex]D(t) = \frac{5.4}{1+2.9e^{-0.01t}}[/tex]

Given that t = 21

Solve for Diameter, D

To do this, we simply substitute 21 for t in the above function

[tex]D(t) = \frac{5.4}{1+2.9e^{-0.01t}}[/tex] becomes

[tex]D(21) = \frac{5.4}{1+2.9e^{-0.01 * 21}}[/tex]

[tex]D(21) = \frac{5.4}{1+2.9e^{-0.21 }}[/tex]

Solve for [tex]e^{-0.21}[/tex]

[tex]D(21) = \frac{5.4}{1+2.9* 0.81058424597}[/tex]

Simplify the denominator

[tex]D(21) = \frac{5.4}{1+2.35069431331}[/tex]

[tex]D(21) = \frac{5.4}{3.35069431331}[/tex]

[tex]D(21) = 1.61160628069[/tex]

[tex]D(21) = 1.612\ ft[/tex] (Approximated)

Hence, the diameter of the 21 year old tree is 1.612 feet

Answer:

462.61 yards.

Step-by-step explanation:

To solve, you need to find the measurement of the angle that forms a 90 degree angle with the 23.9 degree angle.

90 - 23.9 = 66.1 degrees.

Now that you have the angle, you can use TOA to solve for x (TOA = Tangent; Opposite over Adjacent).

tan(66.1) = x / 205

x / 205 = tan(66.1)

x = tan(66.1) * 205

x = 2.256628263 * 205

x = 462.6087939

So, you are about 462.61 yards from the cabin.

Hope this helps!

Answer: 0.0899.

Step-by-step explanation:

Given: CNNBC recently reported that the mean annual cost of auto insurance is 1048 dollars, the standard deviation is 282 dollars.

Sample size : n= 55

Let [tex]\overline{X}[/tex] be the sample mean.

The probability that a sample of size n =55 is randomly selected with a mean less than 997 dollars:

[tex]P(\overline{X}<997)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{997-1048}{\dfrac{282}{\sqrt{55}}})[/tex]

[tex]=P(Z<-1.3412)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.3412)\\\\=1-0.9101\ \ \ \ [\text{By z-table}]\\\\ =0.0899[/tex]

Hence, the required probability = 0.0899 .

Answer:

[tex]\large \boxed{\sf \ \ \dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{2x+1}{x^2(x+1)} \ \ }[/tex]

Step-by-step explanation:

Hello,

This is the same method as computing for instance:

[tex]\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{3+2}{2*3}=\dfrac{5}{6}[/tex]

We need to find the same denominator.

Let's do it !

For any x real different from 0, we can write:

[tex]\dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{1}{x^2}+\dfrac{1}{x(x+1)}\\\\=\dfrac{x+1+x}{x^2(x+1)}=\dfrac{2x+1}{x^2(x+1)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

As we simplify, we will get 2x = 100, which is x = 50

Therefore, <A will be 50 degrees and not 45 degrees.

Also, if you need y, you can do:

3y - 7 = y + 7

2y = 14

y = 7

Answer:

x(3x+5)

Step-by-step explanation:

3x^2+5x

take out common factor x

= x(3x+5)

Answer:

Step-by-step explanation:

3x² + 5x

Factor out X from the expression

= x ( 3x + 5 )

Hope this helps...

Best regards!!

Answer:

Show the table or make ur question a little more clear so I can help

Step-by-step explanation:

Answer:

4 boys

Step-by-step explanation:

Let x represent boys and y represent girls

Hence, x : y = 3 : 2

x/y = 3/2  

2x = 3y ------ (1)

x/y + 4 = 3/3

3x = 3(y + 4)

3x = 3y + 12 --------- (2)

From (1): x = 3y/2

Substitute x into (2) we have:

9y/2 = 3y + 12

9y = 6y + 24

9y - 6y = 24

3y = 24

∴ y = 8

From (2) : 3x = 24 - 12 = 12

∴ x = 4

Hence there Four boys

Answer:

I am pretty sure that it is  C

Step-by-step explanation:

A 1,3 so 3 < 3 no not true

   x,y

B -12,50   50< -36 Also not true

    x  ,  y

C  9  ,  4   4<27 Yes    4< 5 YEPPP

D 4,10   10<12 Yes          10<5 NOOPPPPPEEEE

Answer:

The level of significance to be used is α = 0.0025

Step-by-step explanation:

Here, we are interested in calculating the the level of significance which at most must be used for each of the hypothesis test

We proceed as follows;

P(type 1 error) = α

From the question, n = number of hypotheses = 20

P( of one or more type one error) ≤ 0.05

1- P(no type one error) ≤ 0.05

Hence;

1- (1-α)^20 ≤ 0.05

(1-α)^20 ≥ 0.95

1- α ≥ 0.997438621223

α ≤ 0.00256

Thus α = 0.0025

the ancient Greek used the golden ratio

Answer:

An important proportion that the Ancient Greeks used was the Golden Mean, the a0

Step-by-step explanation:

Also known as Golden Ratio, Divine Proportion, or Golden Section

Answer:

$300

Step-by-step explanation:

The couch is sold in two ways; outright payment or installment payment.

Outright payment would cost = $820

Installment payment = down payment + monthly charges

Down payment = $400

Monthly charges for a period of one year (12 months) = 12 × $60

                                         = $720

Installment payment would cost = $400 + $720

                                            = $1120

Amount saved by paying total amount at the time of purchase = $1120 - $820

                                             = $300

Thus, the outright buying the couch would save $300.

Answer:

[tex]Circumference = 21.99 \ m[/tex]

Step-by-step explanation:

Circumference = [tex]\pi d[/tex]

Given that d = 7 m

[tex]Circumference = (3.14)(7)\\[/tex]

[tex]Circumference = 21.99 \ m[/tex]

Answer:

[tex]\boxed{21.98 \: \mathrm{meters}}[/tex]

Step-by-step explanation:

Apply formula for circumference of a circle.

[tex]C=\pi d[/tex]

[tex]d:diameter[/tex]

Take [tex]\pi =3.14[/tex]

Plug [tex]d=7[/tex]

[tex]C=3.14 \times 7[/tex]

[tex]C= 21.98[/tex]

Answer:

  181.8 yd

Step-by-step explanation:

The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...

  c^2 = a^2 +b^2 -2ab·cos(C)

For the given geometry, this is ...

  c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75

  c ≈ √33037.75 ≈ 181.8 . . . yards

Marsha's ball is about 181.8 yards from the hole.

Answer:

181.8 yds

Step-by-step explanation:

I got it correct on founders edtell

Answer:

theres the screenshot of it

The solution to prove the sum of the interior angles of a triangle is 180° is

∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line )

∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle )

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Now , the angles inside the triangle are ∠2 , ∠5 and ∠6

Now , the lines l₁ and l₂ are two parallel lines

From the figure ,

The measure of ∠1 = The measure of ∠5 ( alternate interior angles )

The measure of ∠3 = The measure of ∠6 ( alternate interior angles )

Now , for a straight line , the measure of angle = 180°

So , ∠1 + ∠2 + ∠3 = 180°  ( angles in a straight line ) ( angle addition )

And , the sum interior angles of a triangle is 180°

So , ∠2 + ∠5 + ∠6 = 180°  ( interior angles of a triangle ) ( substitution )

Hence , the sum of the angles inside a triangle is 180°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Answer:

[tex]79591.8872 in^3/s[/tex]

Step-by-step explanation:

we know that the volume of a right circular cone is give as

[tex]V(r,h)= \frac{1}{3} \pi r^2h\\\\[/tex]

Therefore differentiating partially  with respect to  r and h we have

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [2rh\frac{dr}{dt} +r^2\frac{dh}{dt}][/tex]

[tex]\frac{dV}{dt} = \frac{\pi}{3} [218*198*1.1+109^2*2.4][/tex]

[tex]\frac{dV}{dt} = \frac{\pi}{3} [47480.4+28514.4]\\\\\frac{dV}{dt} = \frac{\pi}{3} [75994.8]\\\\ \frac{dV}{dt} = 3.142 [25331.6]\\\\ \frac{dV}{dt} =79591.8872 in^3/s[/tex]

Answer:

0.078

Step-by-step explanation:

The probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question;

There are two events;

(i) Drawing a first card which is a king: Let the event be X. The probability is given by;

P(X) = [tex]\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}[/tex]

Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.

Also, the total number of sample space = 52, since there are 52 cards in total.

P(X) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;

P(Y) = [tex]\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}[/tex]

Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4

But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.

P(Y) = [tex]\frac{4}{51}[/tex]

Therefore, the probability of selecting a first card as king and a second card as queen is;

P(X and Y) = P(X) x P(Y)

= [tex]\frac{1}{13} * \frac{4}{51}[/tex] = 0.078

Therefore the probability is 0.078

Answer:

This driver's insurance premium should be at least $990.43.

Step-by-step explanation:

We are given that the probability of a driver getting into an accident is 6.4%, the average cost of an accident is $13,991.05, and the overhead cost for an insurance company per insured driver is $95.

As we know that the expected cost that the insurance company has to pay for each of driver having met with the accident is given by;

The Expected cost to the insurance company = Probability of driver getting into an accident [tex]\times[/tex] Average cost of an accident

So, the expected cost to the insurance company = [tex]0.064 \times \$13,991.05[/tex]

                                                                                  = $895.43

Also, the overhead cost for an insurance company per insured driver = $95. This means that the final cost for the insurance company for each driver = $895.43 + $95 = $990.43.

Hence, this driver's insurance premium should be at least $990.43.

Answer:115

Step-by-step explanation:

Answer:

D. (0, 7).

Step-by-step explanation:

Moving from (4,3) to (2, 5) we move 2 to the left; 2 - 4 = 2 then 2 up 3 + 5 = +2.

So the point C is 2-2, 5+2 = (0, 7).