What is the perimeter, p, of a rectangle that has a length of x 8 and a width of y − 1? p = 2x 2y 18 p = 2x 2y 14 p = x y − 9 p = x y 7

Hi there, here's your answer:

Given 2 angles:

(6d + 8)° and (8d + 4)°

Observe the figure carefully. You will notice that the two angles form a linear pair.

We know that in a linear pair, sum of the two angles = 180°.

Hence,

(8d + 4 + 6d + 8)° = 180°

(14d + 12)° = 180°

(14d)° = (180 - 12)°

= 14d = 168°

Or

d = 12

Thus, we find the value of d to be d = 12.

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The probability of picking three black cards in a row, without replacement, from a standard deck of 52 playing cards is 2/17, or approximately 0.1176 (rounded to four decimal places).

The probability of picking a black card on the first draw = 26/52 = 1/2

        (since there are 26 black cards in the deck)

The probability of picking a black card on the second draw, given that a one was picked on the first draw and the card is not replaced = 25/51,    

        (since there are now only 25 black cards left out)

The probability of picking a black card on the third draw, given that the ones picked on the first two draws are not replaced = 24/50 = 12/25,

        (since there are now only 24 black cards left out)

To pick three black cards in a row, we need to multiply the probabilities of each individual draw = (1/2) * (25/51) * (12/25) = 6/51

Simplifying this fraction, we get = 6/51 = 2/17

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Answer:

113.75

Step-by-step explanation:

13$ x 8.75 h (45 minutes is 3/4 of an hour) = $113.75

keeping in mind that an hour has 60 minutes, so you're really getting paid $13 per 60 minutes, so now, 8 hours and 45 minutes is just 8*60 + 45 = 525 minutes.

[tex]\begin{array}{ccll} \$&minutes\\ \cline{1-2} 13 & 60\\ x& 525 \end{array} \implies \cfrac{13}{x}~~=~~\cfrac{60}{525} \\\\\\ \cfrac{ 13 }{ x } ~~=~~ \cfrac{ 4 }{ 35 }\implies 455=4x\implies \cfrac{455}{4}=x\implies 113.75=x[/tex]

Answer:

Step-by-step explanation:

Answer: 0.1 decimal 1/9 fraction

Step-by-step explanation:

Answer:

0.1 or 1/9 i think so but I am sure

The percentage of winners driving a Chevrolet who won with an average speed of at least miles per hour is fifty percent (50%).

We can infer that for a Chevrolet car,

the percentage of average speed (in miles/hour) for the range of 150-159.9 is 25%,

the percentage of average speed (in miles/hour) for the range of 160-169.9 is 18.75%,

and the percentage of average speed (in miles/hour) for the range of 170-179.9 is 6.25%.

Thereby, the percentage of winners of the race who were driving a Chevrolet and had an average speed of at least 150 miles/hour is,

50%.

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The snail moves a distance of 40 yards in one hour as it moves at a speed of 2 feet per minute.

We can start by converting the speed of the snail from feet per minute to yards per hour, since the distance moved is given in yards per hour.

There are 60 minutes in an hour, so the snail's speed in yards per hour is:

2 feet per minute * 60 minutes per hour * (1/3) yards per foot = 40 yards per hour

Hence,

The snail moves a distance of 40 yards in one hour.

Since we are given that the snail has moved a total of 3 yards, we can find the amount of time it took by dividing the distance by the rate:

time = distance / rate

time = 3 yards / 40 yards per hour

time = 0.075 hours or 4.5 minutes

Therefore, the snail will move a distance of 3 yards after 4.5 minutes and distance of 40 yards in one hour.

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Answer:

taking your points

Step-by-step explanation:

Answer:

2. 3(x + 9) = 48

Step-by-step explanation:

We are given

If each playlist has 9 rock songs and x pop songs, then each playlist has 9 + x songs.

If there are three playlists, there are three playlists which each have x + 9 songs. In other words, 3(x+9). This represents the total number of songs, which is 48. Therefore the answer is 3(x+9)=48.

Hope this helps!

Answer: the correct answer is 51

Step-by-step explanation: i solved this on my quiz

i hope this helps!

Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.

What is the ratio?

A ratio is a relationship between two things when it is expressed in numbers or amounts. For example, if there are ten boys and thirty girls in a room, the ratio of boys to girls is 1:3, or one to three.

We can start by noticing that the ratio of cups of ice cream to cups of soda used to make the floats is always 1:3.

To find out how much soda Sidney will use for 17 cups of ice cream, we can set up a proportion:

3.5/10.5 = 8/24 = 12.5/37.5 = 17/x

Solving for x, we can cross-multiply:

3.5x = 10.5 * 17

x = 54

Therefore, Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.

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The coordinates  ( 6,-8 ) are plotted by moving 6 units right and 8 units down.

The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at which the x- and y-axes cross perpendicularly.

here, we have,

Given coordinates (6,-8)

for  the cartesian plane, we know that the origin has points (0, 0)

and divided into four Quadrants,

the left side of the origin is a negative x-axis and the right side is a positive x-axis.

and the upside of the origin is a positive y-axis and the downside is a negative y-axis.

here coordinates of x =6 and y = -8

6 is 6 units right from the origin

and -8 is 8 units down from the origin.

Hence for the coordinates , 6 units to the right and 8 units down , is correct.

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Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

If the spherical snowball is melting , then the rate at which the radius changing after 6.5 hours is 0.208 ft/h  .

A spherical snowball has volume = 260 ft³ that is melting at a rate of 11 cubic feet per hour, while remaining spherical.

We have to find the rate at which the radius is changing after 6.5 hours.

So , let "V" = volume of snowball, "r" = radius of snowball, and "t" = time.

Volume Of Sphere is  V = (4/3)πr³ and dV/dt = -11 ft³/h ;

So,  dr/dt when t = 6.5 hours. is dV/dt = (dV/dr)×(dr/dt)  ;

derivative of volume formula with respect to "r", we get:

⇒ dV/dr = 4πr²   ;

Substituting the given values in chain rule equation, we get:

⇒ -11 = (4/3)πr² × dr/dt  ;

⇒ dr/dt = -11/((4/3)πr²)

For  rate of change of the radius when t = 6.5 hours, we find the radius at that time.

The initial volume of the snowball = 260 ft³.

After 6.5 hours of melting at a rate of 11 ft³/h, the remaining volume will be:  V = 260 - (11 × 6.5) = 188.5 ft³   ;

So , V = (4/3)πr³

⇒ 188.5 = (4/3)πr³

⇒ r³ = (188.5 × 3 / (4π))   ;

≈ 3.55ft

Now we substitute r = 3.55 feet

⇒ dr/dt = -11/[(4/3)π(3.55)²]  ;

⇒ dr/dt ≈ -0.208 ft/h  ;

Therefore , the rate at which radius is changing after 6.5 hours is approximately 0.208 feet per hour and negative sign represents that radius is decreasing  .

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answer:

Huh?

Step-by-step explanation:

students at the college what...?

There are 10/4 ways ( [tex]\frac{10}{4}[/tex] ) to accomplish the given task by wearing the ties for a week according to the permutations and combinations.

Given if you wear tie for a week, where one need t wear 4 of his ties from the 10 of total. The number of ways to wear the ties will be equal to the value. So there are many ways to wear a tie of different types and also to remove the tie there are different ways. Now we will see the ways to wear a tie accordingly.

According to the permutations and combination rules the formula will be:

Number of ways: (Number of ties want to wear) / (Number of Total ties)

Therefore total number of ways to wear ties = 10/4

Number of ways this can be accomplished is 10/4

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There are 10 cars in a race, in 720 ways can three cars finish the race as the 1st, 2nd, and the 3rd places.

An arrangement of particulars in a specific order is appertained to as a permutation. Then, the factors of sets are arranged in a direct or successional order. For case, the set A = ,6 has a permutation of 2, which is. There's no other way to organise the factors of set A, as you can see.

There are 10 cars in the race,

Three cars finish the race in the 1st ,2nd and 3rd order

1st finish the race have 10 chances

P(A) = 10

2nd finish the race have 9 chances

P(B) = 9

3rd finish the race have 8 chances

P(C) = 8

The number in which this can be put,

= P(A) x P(B) x P(C)

= 10*9*8

=720 ways

Therefore, in 720 ways can three cars finish the race as the 1st, 2nd, and the 3rd places.

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The Average daily balance of the given scenario is $2083.

Suppose we're given that:

P_v = Present value of the loan amount

r = rate of interest (compound interest) per period of time

n = number of period of time in which loan is to be paid off

P = A fixed period payment needed to be done for paying off the loan in n number of periods.

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

Given;

APR= 25%

Cost of wheels and tires= $1500

Time=14days

Cost of brake calipers and leaking= $500

Time=30days

Now,

P= 25x2000/1-(1+25)^-30

P=50000/24

P=2083

Therefore, the monthly balance of loan will be $2083.

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Answer:

Step-by-step explanation:

A square is a 4 sided polygon in which all of its side lengths are equal and the diagonals are also be

Volume of solid generated by revolving the plane region about the y-axis is [tex]\pi \left(\frac{1392}{7}\right)[/tex]

The shell method formula is used to find the volume of a solid of revolution, formed by rotating a region about a line that is parallel to one of its sides.

The formula for the shell method is V = 2π* ∫r(x)h(x) dx where V is the volume of the solid, r(x) is the distance between the axis of revolution and the curve being rotated and h(x) is the height of the shell at x.

The shell method can be used when the region is more easily described by an equation in one variable. In contrast, the disk/washer method is used when the region is more easily described by an equation in two variables.

It is a powerful tool for solving many types of problems in calculus, physics and engineering. The shell method formula helps to determine the volume of a solid of revolution, which is an important concept in various fields of study.

Given:

y = [tex]x^\frac{3}{2}[/tex]

y = 27

x = 0

Shell method:

V = [tex]2\pi \int\limits_c^d p(y)h(y) dy[/tex]

Then the volume of a solid is

V = [tex]2\pi \int\limits_0^4x(27 - x^\frac{3}{2})dx[/tex]

= [tex]2\pi \left[ \int\limits_0^4 27x dx - \int\limits_0^4 x^\frac{5}{2}dx\right][/tex]

[tex]= 34\pi \left[\frac{x^2}{2} \right]_0^4 - \frac{4}{7} \pi \left[ x^\frac{7}{2} \right]_0^4[/tex]

[tex]= 34\pi \left(\frac{4^2}{2} \right) - \frac{4\pi}{7}(4)^\frac{7}{2}[/tex]

[tex]= 4\pi \left( \frac{68}{7} - \frac{2^7}{7} \right)[/tex]

[tex]= 4\pi \left( \frac{476 - 128}{7} \right)[/tex]

[tex]4\pi \left( \frac{348}{7} \right)[/tex]

[tex]= \pi \left( \frac{1392}{7} \right)[/tex]

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Step-by-step explanation:

x current age of the father

y current age of the son

first equation (x-4)+(y-4)=27 so x=27+4+4-y=35-y

second equation (y+5) : (x+5)= 2:7

so (y+5)*7=(x+5)*2

let's replace x we found at the first equation with the one at second equation

(y+5)*7=(35-y+5)*2

7y+35=(40-y)*2

7y+35=80-2y

7y+2y=80-35

9y=45

y=5

x=35-y=35-5=30

By determining the value of x when y = 0, (x, 0), and the value of y when x = 0, respectively, the x-intercept and y-intercept are determined (0, y).

A two-variable equation with a line-shaped graph is referred to as a linear equation. A collection of coordinate plane points that are all the solutions to the linear equation make up the graph. If all of the variables have true numerical values, the equation can be graphed by first drawing a sufficient number of points to identify a pattern, then connecting those points to include all of the points.

A linear equation is represented in standard form as

Ax+By=C,A,B≠0

The equation for y must first be solved before you may graph a linear equation in its usual form.

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

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Speed of Ana =  7.5miles/hour

Step-by-step explanation:

Given,

Ana runs 3/4 mile in 6 minutes.

To find,

The speed of Ana in miles per hour

Recall the formula,

Speed = distance travelled/time taken

60 minutes = 1 hour

Solution:

Distance traveled = 3/4 mile

Time taken = 6 minutes

Since 60 minutes = 1 hour, we have

1 minute =1/60 hour

6 minutes = 6/60 hour

=1/10  hour

Hence speed  = distance travelled/time taken

=  3/4 / 1/10 miles/hour

= 15/2 miles/hour

= 7.5miles/hour

∴ Speed of Ana =  7.5miles/hour

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Answer:

5.6294995342131E-32

Step-by-step explanation:

the common ratio is 1/5, therefore with the equation an = a x r

                                                                                                       n-1

we can figure out the answer to this by plugging in the common ratio for r,

and n as the number in the sequence that we want to obtain.

a is simply the first number (1000)

Answer: 4.5

Step-by-step explanation:

The given statement about the intermediate value theorem is false

The given statement is

"Intermediate value theorem states that if a function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval"

But according to Intermediate value theorem "if a continuous function f with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval"

So if we takes discontinuous function the given statement will be wrong

Therefore, the statement is false

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The profit is £1,370. Then the percentage profit of the company will be 124.54%.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

The number of pins left after the donation to charity is given as,

⇒ (1 - 0.35) x 1,000

⇒ 0.65 x 1,000

⇒ 650 pins

The selling price when 60% are sold for £3 and 40% are sold for £5 is given as,

Selling price = 0.60 x 650 x £3 + 0.40 x 650 x £5

Selling price = £1,170 + £1,300

Selling price = £2,470

The cost price is given as,

Cost price = £1.10 x 1,000

Cost price = £1,100

The profit is given as,

P = £2,470 - £1,100

P = £1,370

Then the percent of profit is given as,

P = [(£1,370) / £1,100] x 100

P = 124.54%

The profit is £1,370. Then the percentage profit of the company will be 124.54%.

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Answer:  x=3, y=-1

Step-by-step explanation:

2x+y=5

2y=2x-8

In equation 1, y=5-2x.

Substitute this value in equation 2.

2(5-2x)=2x-8

10-4x=2x-8

Thus,

4x+2x=10+8 (collecting terms)

6x=18

x=3

Now, we said earlier that y=5-2x.

Therefore, y=5-2(3) [because x=3]

y=5-6

y=-1

Hope this helps :]

The sum of the geometric sequence for this problem is given as follows:

S = 665.

The sum of the first n terms of a geometric sequence of first term [tex]a_1[/tex] and common ratio q is given by the equation presented as follows:

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

The parameters for this problem are given as follows:

[tex]a_1 = 32, n = 6, r = 1.5[/tex]

Hence the sum is obtained as follows:

S = 32 x (1 - 1.5^6)/(1 - 1.5)

S = 665.

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The second option has the better value-for-money.

To find the price per gram, you need to take the quotient between the cost and the mass for each case.

The first brand costs $29.49 for 250 grams, then the cost is:

c = $29.49/250g = $0.12 per gram.

The other brand costs $69.99 for 750 grams, then the cost per gram is:

C = $69.99/750g = $0.09 per gram

We can see that the second option has the better vale-for-money.

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The equations of the graphs are y = 1/2|x - 2| + 5 and y = -7|x + 2| - 11

From the question, we have the following parameters that can be used in our computation:

The graphs

The lines are absolute function graphs, and they can be represented as

y = a|x - h| + k

Where

Vertex = (h, k)

For the blue line, we have

(h, k) = (2, -5) and (x, y) = (0, -4)

So, we have

-4 = a|0 - 2| - 5

2a = 1

a = 1/2

So, the equation is y = 1/2|x - 2| + 5

For the red line, we have

(h, k) = (-2, 3) and (x, y) = (0, -11)

So, we have

-11 = a|0 + 2| + 3

2a = -14

a = -7

So, the equation is y = -7|x + 2| - 11

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