Iris has 120 songs on her playlist. each week, she downloads 4 new songs

Answer:

120 inches long in total becuase 12x10 is 120.

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation

Write an equation for the amount of money, m, that will be collected if C- chocolate bars are sold and L- lollipops. Which is the independent variable and which is the dependent variable?

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

Answer:

Step-by-step explanation:

Velocity is defined as the rate of change in displacement of a body. It is expressed mathematically as v = change in displacement/time

v(t) = ds(t)/dt

ds(t) = v(t)dt

integrating both sides;

s(t) =  [tex]\int\limits v(t)dt[/tex]

Given the velocity function f(t) = 11t, the car's position (displacement) is expressed as s(t) = [tex]\int\limits 11t\ dt[/tex]

s(t) = 11t²/2 + C

at the initial point, s(0) = 0 i.e when t = 0, s(t) = 0. The resulting equation becomes;

0 = 11(0)²/2+ C

0 = 0+C

C = 0

To find the car's position, s(t), we will substitute C = 0 into the equayion above;

s(t) = 11t²/2 + 0

s(t) = 11t²/2

Hence s(t) = 11t²/2  is the required position of the car in terms of t.

Using an integral, it is found that the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

The velocity of the car is modeled by the following function:

[tex]f(t) = 11t, 0 \leq t \leq 30[/tex]

The position is the integrative of the velocity, hence:

[tex]s(t) = \int f(t) dt[/tex]

[tex]s(t) = \int 11t dt[/tex]

[tex]s(t) = \frac{11t^2}{2} + K[/tex]

In which the constant of integration K is the initial position. Since the initial position is [tex]s(0) = 0[/tex], the constant is [tex]K = 0[/tex], and hence, the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

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Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

Answer: I x - 16ozI ≤ 0.4oz

Step-by-step explanation:

The weight is supposed to be exactly 16 oz.

But we can accept a maximum error of 0.4oz.

Now, if x is the weight of the sugar bag, the error can be calculated as:

E = x - 16oz

if x is larger than 16oz, we have E positive, which means that we have more sugar than 16oz

if x is smaller than 16 oz, we have E negative, which means that we are a little bit short of sugar in the bag.

Now, we know that the maximum error acceptable is 0.4 oz (negative or positive)

So we can write:

-0.4oz ≤ E ≤ 0.4oz

-0.4 ≤ x - 16oz ≤ 0.4oz

Now, if we apply absolute value to the error, we get:

I x - 16ozI ≤ 0.4oz

So the correct option is the fourth one (or the bottom one)

Answer:

D.)  |x−16|≤0.4

Step-by-step explanation:

Answer:

Hey there!

Circumference of a circle=0.5[tex]\pi[/tex]r

3.14=0.5[tex]\pi[/tex]r

1=0.5r

r=2

Hope this helps :)

Answer:

1/2 meter

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= pi* 2r

We know that the circumference of the circle is 3.14 meters. Therefore, we can substitute 3.14 in for c.

3.14= pi* 2r

We want to find out what r, or the radius is. To do this, we must get r by itself.

First, divide both sides of the equation by pi, or 3.14. We divide because 2r is being multiplied by pi, and division is the inverse of multiplication.

3.14= pi* 2r

3.14/3.14=3.14* 2r/3.14

3.14/3.14=2r

1=2r

Next, divide both sides by 2. We divide because 2 and r are being multiplied, and the inverse of division is multiplication.

1/2=2r/2

1/2=r

0.5=r

The radius of the circle is 1/2 or 0.5 meters.

Answer:

2432902008176640000 programs are possible using 20 distinct (different) songs.

Step-by-step explanation:

There are 20 choices for the first song, 19 choices for the second, ...1 song for the last for a total of

N = 20*19*18*...*3*2*1 = 20!= 2432902008176640000  programs

The number 20! is the number of permutations for 20 distinct objects put in order.

20! is pronounced as 20 factorial.

Example: factorial of 5 is 5*4*3*2*1 = 120

Answer:

20*19*18*17*16=1 860 480 different programs

Step-by-step explanation:

So there are 20 pieces total and each of them can be first.

Each of residual 19 can be the second

Each of residual of 18 can be the third

Each of residual 17 can be the fourth

Each of residual 16  can be the fifth

Total amont of possible different programs ( the order of the pieces matters)

is :  20*19*18*17*16=1 860 480 different programs

Answer:

x ≥ 88

Step-by-step explanation:

In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

x ≥ 88

Answer:

Your correct answer to this problem is x ≥ 88

Step-by-step explanation:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

= x ≥ 88

Answer:

x = 39

Step-by-step explanation:

The two angles will be equal when the lines are parallel

4x-24 = 3x+15

Subtract 3x from each side

4x-24-3x = 3x+15-3x

x-24 = 15

Add 24 to each side

x-24+24 = 15+24

x = 39

Answer:

x=39

Step-by-step explanation:

Since these are alternate interior angles they should be set equal to each other so

4x-24=3x+15

Now simplify to get...

x=39

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean [tex]\mu[/tex] = 69.5

Standard deviation [tex]\sigma[/tex] = 2.4

observed value X = 74

For Adult Women

Mean [tex]\mu[/tex] = 63.8

Standard deviation [tex]\sigma[/tex] = 2.6

observed value X = 70

Therefore ; the values for their z  scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]z = \dfrac{74- 69.5}{2.4}[/tex]

[tex]z = \dfrac{4.5}{2.4}[/tex]

z = 1.875

For Adult Women :

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]z = \dfrac{70- 63.8}{2.6}[/tex]

[tex]z = \dfrac{6.2}{2.6}[/tex]

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

Answer:

x = -8

Step-by-step explanation:

When h(x) = 48, you can simply just plug it back into the first equation. Don't let the h(x) confuse you!

Think of it like saying y = -4x + 16, y = 48.

48 = - 4x + 16

32 = - 4x

8 = -x

Divide by -1 both sides.

-8 = x

Answer:  115,151,115,133,313,331

Step-by-step explanation:

The Andre's  number can consist from 1+1+5 or 3+3+1. There are no any other sets of 3 odd digit to get 7.

Lets prove this statement.

Lets 1 of the digit is bigger than 5. However the digit is odd so it can be 7 only. However in this case the residual 2 digits are 0 . This is not possible so the gigits are odd however 0 is even.

Lets check the case when the biggest digit in the set is smaller than 3.

So it can be 1 only.

So the residual 2 digits can be 1 only. The sum of 1+1+1<7 .

SO we've  prooven that the only sets of the digits are 1;1;5 or 3;3;1

The set   1;1;5 can give 3 numbers:

115,151,115

The set   1;3;3 can give 3 numbers as well:

133,313,331

Answer:

[tex]\boxed{7^{\frac{3}{2} } \times 4}[/tex]

Step-by-step explanation:

[tex]4 (\sqrt{7} )^3[/tex]

Square root can be written as a power.

[tex]4(7^{\frac{1}{2} })^3[/tex]

Multiply the exponents.

[tex]4(7^{\frac{3}{2} })[/tex]

Answer:

A (7^3/4)

Step-by-step explanation:

ed 2020

Answer:

there are 620 comic books

Step-by-step explanation:

let number of comic books be x

total books=3x+x

2480=4x

2480/4=x

620=x

Answer:

Step-by-step explanation:

Let comic books be ' X '

Let Novels be ' 3x '

Now, finding the value of X

According to Question,

[tex]3x + x = 2480[/tex]

Collect like terms

[tex]4x = 2480[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{2480}{4} [/tex]

Calculate

[tex]x = 620[/tex]

Thus, There are 620 comic books in the book store.

Hope this helps...

Best regards!!

The true statement about the given transformation is; B: It is a dilation because the transformation is not isometric.

An isometric transformation is a shape-preserving transformation in the plane or in space. They include reflection, rotation and translation.

Now, from the given attachment showing the two figures, we can see that there is a dilation which means that it can't be isometric as the definition of Isometric transformation does not include Dilation.

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Answer:

b

Step-by-step explanation:

just took the test

Answer:

Answer is 24288.

Step-by-step explanation:

Given that there are 18 senior and 22 junior partners.

To find:

Number of ways of selecting at least one junior partner to form a committee of 3 partners.

Solution:

At least junior 1 member means 3 case:

1. Exactly 1 junior member

2. Exactly 2 junior member

3. Exactly 3 junior member

Let us find number of ways for each case and then add them.

Case 1:

Exactly 1 junior member:

Number of ways to select 1 junior member out of 22: 22

Number of ways to select 2 senior members out of 18: 18 [tex]\times[/tex] 17

Total number of ways to select exactly 1 junior member in 3 member committee: 22 [tex]\times[/tex] 18 [tex]\times[/tex] 17 = 6732

Case 2:

Exactly 2 junior member:

Number of ways to select 2 junior members out of 22: 22 [tex]\times[/tex] 21

Number of ways to select 1 senior member out of 18: 18

Total number of ways to select exactly 2 junior members in 3 member committee: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 18 = 8316

Case 3:

Exactly 3 junior member:

Number of ways to select 3 junior members out of 22: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 20 = 9240

So, Total number of ways = 24288

Answer:

x= 45

Step-by-step explanation:

In this diagram, there is an angle that is split into 2 angles.

The angle is a 90 degree angle. We know this because of the little square in the corner that denotes a right angle.

Therefore, the 2 angles inside of the right angle must add to 90 degrees. The 2 angles that make up the right angle are x and 45.

x+45=90

We want to find x. We need to get x by itself. 45 is being added on to x. The inverse of addition is subtraction. Subtract 45 from both sides.

x+45-45=90-45

x= 90-45

x=45

The measure of angle x is 45 degrees.

Answer:

m<1 = 50

Step-by-step explanation:

We can first find the angle next to 140, by doing 180 - 40 = 40.

Now that we know that one of the triangles angle is 40, we also know that there's a 90 degree angle, so we can do:

180 - 90 - 40 = 50

So m<1 = 50

Answer: Binomial distribution

Step-by-step explanation:

The binomial appropriation is a likelihood circulation that sums up the probability that a worth will take one of two free qualities under a given arrangement of boundaries or suspicions. The hidden suspicions of the binomial dispersion are that there is just a single result for every preliminary, that every preliminary has a similar likelihood of achievement, and that every preliminary is totally unrelated, or autonomous of one another.

Answer:

Point W

Step-by-step explanation:

Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.

At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.

Answer:

B'(0,-2)

Step-by-step explanation:

the coordinates of B (-5,0)

the translation is(x+5,y-2)

B' : (-5+5,0-2)

B'(0,-2)

Answer:

x = 19

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x-3 = 6(x-10)

Distribute

3x-3 = 6x-60

Subtract 3x from each side

3x-3 -3x = 6x-60-3x

-3 =3x-60

Add 60 to each side

-3+60 =3x-60+60

57 = 3x

Divide by 3

57/3 = 3x/3

19 =x

Answer:

The Arctic Warfare Police (AWP) is the law enforcement variant of the series, commonly chambered for 7.62×51mm NATO. The Magnum Sniper Rifle depicted in Counter-Strike is based on the Arctic Warfare Magnum, chambered for . 338 Lapua Magnum.

Answer: A. 299.5

Step-by-step explanation:

1248 · 24%

1248 · 0.24=299.50

Answer: It will  take you about 61 years for you to reach your goal.

Step-by-step explanation:

We will represent this situation by an exponential function. So if you earn 5% yearly then we could represent it by 1.05.So in exponential function we need to find the initial value and the common difference and in this case the common difference is 1.05 and the initial value or amount is 50,000 dollars.

We could represent the whole situation by the equation.

y= [tex]50,000(1.05)^{x}[/tex]  where x is the number of years. so if you aspire to have 1,000,000 in some years then we will put in 1 million dollars for y and solve for x.

1,000,000 = 50,000(1.05)^x   divide both sides by 50,000

20 = (1.05)^x

x= 61.40

Answer:

That is correct

Step-by-step explanation:

yes sir you are corret                            

Answer:

what

Step-by-step explanation:

Step-by-step explanation:

(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) (0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

If a customer makes a purchase, then the probability that this customer is of college will be 0.58

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Given that purchases were made by 20% of high school age customers, by 60% of college age customers, and by 80% of older customers.

(a) the probability that a randomly chosen customer make a purchase will be;

P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) if a customer makes a purchase, then the probability that this customer is of college will be;

(0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

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