HEEEEEEEEEELLLLLLPPPPPPPPPPPPPPPPP ME !

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer:

-15 is how many tests per hour i think, and 78 is how many tests total

Step-by-step explanation:

= 78 − 15ℎ

1 hour would be

78-(15x1)=63

2 hours would be

78-(15x2)=48

and so on.

Final answer:

The value 78 represents the initial number of tests Mrs. Hool has, while -15 represents the rate at which she grades tests per hour.

Explanation:

The values 78 and -15 in the equation represent the initial number of tests that Mrs. Hool has and the rate at which she grades the tests per hour, respectively.

The value 78 is the initial number of tests that Mrs. Hool has left to grade. This means that when she starts grading, she has 78 tests remaining.

The value -15 represents the rate at which Mrs. Hool grades the tests per hour. It indicates that for every hour she works on grading, she is able to complete 15 fewer tests than what she started with. In other words, the number of tests she has left decreases by 15 for every hour she works.

Answer:

Option d is correct.

Both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.

Step-by-step explanation:

The rule of 180 degree rotation about the origin is:

[tex](x, y) \rightarrow (-x , -y)[/tex]

Since a Rotation of a point through 180°, about the origin when a point a(h, k)  is rotated about the origin through 180° in anticlockwise or clockwise direction.

then, By the rule of 180 degree rotation;

[tex]a(h, k) \rightarrow a'(-h , -k)[/tex]

so, it takes the new position i.e, [tex]a'(-h , -k)[/tex]

Therefore, both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.

Answer:

$33,476.00

Step-by-step explanation:

Just add them all together

Answer:

The total cost charged by the two companies will be the same for 10 square yards of carpeting .

Step-by-step explanation:

Let us assume that the number of square yards for carpeting  used be x.

Let us assume that the total cost of the  charged by the companies be y.

As given

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.

Than the equation becomes

y = 22x + 100

As given

City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

Than the equation becomes

y = 25x + 70

Than the two equations are

y = 22x + 100 and y = 25x + 70

Than compare the two equations are

22x + 100 = 25x + 70  

25x - 22x = 100 - 70

3x = 30

[tex]x = \frac{30}{3}[/tex]

x = 10 square yards .

Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .

Answer:

The equation of the line would be y = -2x + 3

Step-by-step explanation:

In order to find the equation of the line, start by using point-slope form with the known information.

y - y1 = m(x -x1)

y - 1 = -2(x - 1)

Now that we have this, solve for y.

y - 1 = -2x + 2

y = -2x + 3

Answer:

Step-by-step explanation:

Introduction:

Mixtures are not unique to chemistry; we encounter them on a daily basis. The food and drinks

we consume, the fuel we use in our vehicles, building materials, soil, air, and ordinary water are

all mixtures. In fact, very few common materials in the world are pure. Any material made up

of two or more substances that are not chemically combined is a mixture. It is not difficult to

separate the components of a mixture if you take advantage of differences in physical properties

of the components.

1. Sublimation. Some substances change directly from a solid to a gas when they

are heated. The reverse process, when the vapor goes back to the solid phase

without a liquid state in between, is called deposition. Some solids which sublime

are iodine, caffeine, and paradichlorobenzene (mothballs). Dry ice sublimes also.

2 Extraction. This uses a solvent to selectively dissolve one component of the

solid mixture. With this technique, a soluble substance can be separated from an

insoluble substance.

3. Decantation. This separates a liquid from insoluble solid sediment by carefully

pouring the liquid from the solid without disturbing the solid.

4. Filtration. This separates a solid from a liquid through the use of a porous

material as a filter. Paper, charcoal, or sand can serve as a filter. These materials

trap the solid but let the liquid pass through (see diagram in Procedure section).

5. Evaporation. This is the process of heating a mixture in order to remove a

liquid that evaporates easily, leaving a dry residue.  

Pure substances are further broken down into elements and compounds. Mixtures are physically combined structures that can be separated into their original components. A chemical substance is composed of one type of atom or molecule.

Answer:

75%

Step-by-step explanation:

To calculate the percent increase or decrease, we:

The population of the town originally had 8,000 in 1992. In 1997, the population is 14,000.

The towns population increase by 75%

To find the percent increase in the population from 1992 to 1997, subtract the initial population from the final population, divide by the initial population, and multiply by 100, resulting in a 75% increase.

To calculate the percent increase in the population of the town from 1992 to 1997, follow these steps:

Therefore, the percent increase in the population from 1992 to 1997 was 75%.

Answer:

[tex]12.5x-285[/tex].

Step-by-step explanation:

We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.

We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:

[tex]4.75\cdot (2x-60)=9.5x-285[/tex]  

To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.

[tex]\text{The total distance traveled}=3x+9.5x-285[/tex]

Upon combining like terms we will get,

[tex]\text{The total distance traveled}=(3+9.5)x-285[/tex]

[tex]\text{The total distance traveled}=12.5x-285[/tex]

Therefore, the total distance traveled in terms of x will be [tex]12.5x-285[/tex].

The total distance traveled in terms of x is the sum of the distances for each part of the trip: 3x miles for the first part and 9.5x - 285 miles for the second part, equating to a total distance of 12.5x - 285 miles.

To express the total distance traveled in terms of x, we need to use the distance formula d = vt, which states that distance (d) is equal to velocity (v) multiplied by time (t).

For the first part of the trip, the man drove at x miles per hour for 3 hours. Therefore, the distance for this part is:

d1 = x miles/hour * 3 hours = 3x miles

For the second part of the trip, he drove at (2x-60) miles per hour for 4.75 hours. So, the distance for this part is:

d2 = (2x-60 miles/hour) * 4.75 hours = 9.5x - 285 miles

To find the total distance traveled, we add the two distances together:

Total Distance = d1 + d2 = 3x miles + 9.5x - 285 miles = 12.5x - 285 miles

Answer:

Motorcycle will complete the 540 mile trip in 11.25 hr.

The car will complete it 2.25 hours less, or 9 hours.

The speed of the car therefore is 540/9 = 60 mph.

60t + 48t = 540

108t = 540

t = 5

So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles

and the car will have traveled 60*5 = 300 miles.

Hope this help

Step-by-step explanation:

The cost of one gallon of gas is $3.50 (calculated by dividing $10.50 by 3). Therefore, to find out the budget needed for the one-way trip to border=0 cell spacing=0 cellpadding=0 the grandmother's house, multiply the cost per gallon by the number of gallons needed, getting: 20 gallons * $3.50/gallon = $70.

The first step is to identify the cost per gallon of gas. From the problem, we know that three gallons of gas cost $10.50. So, we can find out how much one gallon of gas costs by dividing $10.50 by 3, which is $3.50 per gallon.
To find out how much it would cost Melissa's family to make the one-way trip to her grandmother's house, we need to multiply the cost per gallon by the number of gallons it takes to get there.
So, the family needs to budget 20 gallons * $3.50/gallon = $70 for the one-way trip.
Therefore, Melissa's family should budget $70 to be able to make the one-way trip to her grandmothers house.

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than anwser is 22% or 0.22

Answer:

0.0611

Step-by-step explanation:

Answer:

B. 0.0611

Step-by-step explanation:

We have been given that a data set which follows a nonstandard normal distribution curve and mean of data set is 715 and standard deviation is 24.

To find the probability that a randomly selected value will be between 660 and 680 we will use probability formula to find the values between two z-scores.

First of all let us find z-score for our given values using z-score formula.

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

[tex]z=\text{ z-score}[/tex],

[tex]x=\text{Random sample score}[/tex],

[tex]\mu=\text{ Mean}[/tex],

[tex]\sigma=\text{ Standard deviation}[/tex].

Let us find z-score for random score 660.

[tex]z=\frac{660-715}{24}[/tex]

[tex]z=\frac{-55}{24}[/tex]

[tex]z=-2.29[/tex]

Let us find z-score for random score 680.

[tex]z=\frac{680-715}{24}[/tex]

[tex]z=\frac{-35}{24}[/tex]

[tex]z=-1.458\approx -1.46[/tex]

We will use formula [tex]P(a<z<b)=P(z<b)-P(z<a)[/tex] to find the probability between our given values.

Upon substituting our given values in above formula we will get,

[tex]P(-2.29<z<-1.46)=P(z<-1.45)-P(z<-2.29)[/tex]

Using normal distribution table we will get,

[tex]P(-2.29<z<-1.46)=0.07215-0.01101[/tex]

[tex]P(-2.29<z<-1.46)=0.06114[/tex]

Therefore, the probability that a randomly selected value will be between 660 and 680 is 0.0611 and option B is the correct choice.

Answer:

it is a fifty fifty chance

Step-by-step explanation:

if they are the same number it is always a fifty fifty chance

Answer:

115+9=124 employees

Answer:

5

Step-by-step explanation:

D=[tex]\sqrt{(8-4)^2+(1-4)^2}[/tex]

D=[tex]\sqrt{4^2+(-3)^2}[/tex]

D=[tex]\sqrt{16+9}[/tex]

D=[tex]\sqrt{25\\}[/tex]

D=5

Answer: B

Step-by-step explanation:

Use the distance formula: [tex]d = \sqrt{(x_2 -x_1)^{2}+(y_2-y_1)^{2}}[/tex]

[tex]d_{PQ} = \sqrt{(8-4)^{2}+(1-4)^{2}}[/tex]

         [tex] = \sqrt{(4)^{2}+(-3)^{2}}[/tex]

         [tex] = \sqrt{16+9}[/tex]

         [tex] = \sqrt{25}[/tex]

         [tex] = 5[/tex]

m∠BCA = 57 degrees.

The sum of the exterior angles of a triangle is 360 degrees.

So,

[tex](5x+12)+(9x+1)+(10x-37)=360\\24x-24=360\\24x=384\\x=16[/tex]

So the exterior angle corresponds to ∠BCA is = 10x - 37 = 10(16) - 37 = 123.

So the interior angle ∠BCA is = 180 - 123 = 57 degrees.

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Answer:

2

Step-by-step explanation:

let the number be n then

[tex]\frac{n}{2}[/tex] = 2n - 3 ( myltiply both sides by 2 )

n = 4n - 6 ( subtract 4n from both sides )

- 3n = - 6 ( divide both sides by - 3 )

n = 2

check

[tex]\frac{2}{2}[/tex] = 1 and (2 × 2 ) - 3 = 4 - 3 =1

Answer:

y=-(3/4)x-5

Step-by-step explanation:

First we must write our equation in slope intercept form:

[tex]y=mx+b[/tex]

Where m is slope and b is the y-intercept.

[tex]4x-3y=12\\\\-3y=-4x+12\\\\y=\frac{4}{3}x-4[/tex]

Now we will find a line that is perpendicular to [tex]y=\frac{4}{3}x-4[/tex]

To do this we will get the negative inverse of our original slope which is 4/3 and the negative inverse is: [tex]-\frac{3}{4}[/tex].

Now we must determine our y-intercept for the perpendicular line by using the slope calculated above and plugging it in to the following equation:

[tex]y=m(x-x_1)+y_1[/tex]

Where m is the slope, x1 = -8 and y1=1 and so:

[tex]y=-\frac{3}{4}(x-(-8))+1\\\\y=-\frac{3}{4}x-\frac{24}{4}+1\\\\y=-\frac{3}{4}x-6+1\\\\y=-\frac{3}{4}x-5[/tex]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

[tex]1 m = 100 cm[/tex]

[tex]1 inches = 2.54 cm[/tex]

[tex]1 ft = 12 inches[/tex] and

[tex]1 yard = 3 ft[/tex]

1 ft = 12 inches

3 ft = [tex]3 \times 12 = 36 inches[/tex]

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = [tex]\frac{1}{100} m[/tex]

then;

91.44 cm = [tex]\frac{91.44}{100} =0.9144 m[/tex]

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = [tex]\frac{1}{0.9144} = 1.0936133[/tex] yards.

Therefore, the answer is, 1 m =  1.1 yards (nearest to tenth)

Answer:

All i want the 5 stars. Answer is down below.

Step-by-step explanation:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

and

1 ft = 12 inches

3 ft =

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm =

then;

91.44 cm =

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter =  yards.

Therefore, the answer is, 1 m =  1.1 yards (nearest to tenth)

Answers:

a) Choice D -- Graph is discrete due to b only taking on whole number values (b = 0, b = 1, b = 2, etc)

see the attached image below for the graph

---------

b) She bought 9 basketballs

====================================================

Explanation for part A

To make a table, we simply replace every copy of 'b' with a positive whole number. So for instance, replace b with 0 and we get

a = 18*b = 18*0 = 0

Therefore b = 0 leads to a = 0 meaning buying 0 basketballs cost the coach $0

If b = 1, then a = 18 because

a = 18*b = 18*1 = 18

So 1 basketball costs $18 as expected

2 basketballs cost a total of $36 and we see that as shown below

a = 18*b = 18*2 = 36

This pattern continues however long as you need. Each row of the table represents an ordered pair of (b,a) values. Unfortunately your teacher made 'b' the independent variable meaning that it must come first even if the temptation is to put 'a' first in the ordered pair due to alphabetical order.

To graph this function, we just plot the points from the table. Each row is an ordered pair so it represents 1 point. We do NOT connect the dots with a straight line. Why not? Because we can't buy half a basketball, so the point with b = 1/2 = 0.5 wouldn't make any sense, so it's no use to us. The fact we have disconnected points as the graph shows visually tells us that we have a discrete graph. Connecting the dots would make the graph continuous.

Once again, have a look at the image attached below for the table and graph.

-----------------------

Explanation for part B

The equation in part A helps us find the pre-tax total cost. If that cost is $162, then a = 162 and b is...

a = 18*b

162 = 18*b

18*b = 162

18*b/18 = 162/18

b = 9

So she bought 9 basketballs

This is represented as point J(9,162) on the graph below.

Final answer:

After subtracting the cost of a haircut ($32) and a manicure ($26) from Samantha's spa day budget of $75, she would have a maximum of $17 left over.

Explanation:

If Samantha has at most $75 for her day at the spa and she plans to spend $32 on a haircut and $26 on a manicure, we can calculate the maximum amount she would have left over by subtracting the cost of the haircut and manicure from her total budget. The equation we use for this calculation is:

Total Budget - (Cost of Haircut + Cost of Manicure) = Money Left Over

Let's do the math:

$75 - ($32 + $26) = $75 - $58 = $17

So, Samantha will have a maximum of $17 left after she pays for her haircut and manicure.

Answer:

3 and 4

Step-by-step explanation:

We apply 2 transformations here.

f(x)  ----> f(x + a) - this is  a shift of a units to the left.

f(x) ---- > f(x) + a - this is a shift of a units vertically up.

x - 1  ----> x + 2  shifts  it 3 units to the left.

3 ---->5  shifts it 2 units up.

Answer:

Options 3 & 4

Step-by-step explanation:

Recall, an exponential function has the basic form  

[tex]y=ab^{x+h}+k[/tex].

Thus [tex]f(x)=2^{x-1} +3[/tex] is shifted to the right 1 unit and up 3 units.\\

This means that [tex]g(x)=2^{x+2}+5[/tex] is shifted to the left 2 units and up five units.

Remember it had already been shifted up 3 so, moving up to 5 is a movement of 2 units. Option 3 is correct.

Also, remember the function started 1 unit to the right and then shifted left to 2. This would be 1--2=3 units in total were shift from f(x) to g(x). This makes Option 4 correct too.

Answer:

35

Step-by-step explanation:

It’s a 90 degree angle. 3x35=105 and 105-15=90

Answer:

x = 35

Step-by-step explanation:

Angle JML is 90 degrees

3x-15 = 90

Add 15 to each side

3x-15+15 = 90+15

3x = 105

Divide each side by 3

3x/3 =105/3

x = 35

Answer:

C - If Jason's monthly payment were $130, the amount of the loan that he is considering taking out would be less than $21,037.05.

Step-by-step explanation:

The EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

here r = 5.1/12/100=0.00425

p = 21037.05

and n = 20*12 = 240

Putting the values in formula we get

[tex]\frac{21037.05*0.00425*(1.00425)^{240} }{(1.00425)^{240}-1 }[/tex]

= (21037.05*0.00425*2.767)/1.767 = $140.00

Hence, for an amount of $21,037.05, the monthly payment becomes $140. So, if Jason is paying $130, he must have taken less loan than $21037.05.

So, option C is correct.

If you want to calculate, lets take p = x and emi = 130 and put the values in above formula. (r and n are same)

130=(x*0.00425*2.767)/1.767

130= 0.0066x

x = $19696.96(approx) (This shows that the loan will be less than $21037.05)