Last term Mark spent $218 on college textbooks. This term the amount he spent on college textbooks decreased by 26.7%. By how much money did his textbook bill decrease this term? What is his total textbook bill for this term?

Answer:

24 increased by 6% = 25.44

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

6% = 6/100 = 6 ÷ 100 = 0.06.

100% = 100/100 = 100 ÷ 100 = 1.

ncrease the number by 6% of its value.

Percentage increase = 6% × 24

New value = 24 + Percentage increase

Calculate the New Value

New value =

24 + Percentage increase =

24 + (6% × 24) =

24 + 6% × 24 =

(1 + 6%) × 24 =

(100% + 6%) × 24 =

106% × 24 =

106 ÷ 100 × 24 =

106 × 24 ÷ 100 =

2,544 ÷ 100 =

25.44

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 24 =

25.44 - 24 =

1.44

Proof.

Calculate percentage increase...

... And see if we get as a result

the absolute change (actual difference).

Percentage increase =

6% × 24 =

6 ÷ 100 × 24 =

6 × 24 ÷ 100 =

144 ÷ 100 =

1.44

So we have proven that the calculations are correct.

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

24 increased by 6% = 25.44

Absolute change (actual difference):

25.44 - 24 = 1.44

Answer:

24,06

Step-by-step explanation:

[tex] \sf 24 + 6 \%[/tex]

[tex] \sf = 24 + \frac{6}{100} [/tex]

[tex] = \sf \frac{2400}{100} + \frac{6}{100} [/tex]

[tex] \sf = \frac{2406}{100} [/tex]

[tex] \sf 24, 06[/tex]

Answer:

someone please ananswer  i need help

Step-by-step explanation:

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Here's the solution :

1. The given figure is of a Rectangle, and we know that diagnonals of a Rectangle bisects each other.

so, PR = 2 × PT

that is :

and both the diagnonals of a Rectangle are equal,

2. let's take the length of PQ = x and QR = y

Angle RPS = Angle PRQ = 60°

(because they form pair of Alternate Interior angles, which are equal)

By using trigonometry :

similarly,

And now, we know that area of triangle PQR is equal to :

3. Area of Rectangle PQRS :

Answer:

2l-3=w with l=length and w=width, please note i am not actually in college but 7th grade

Step-by-step explanation:

Answer:

swag

Step-by-step explanation:

swag

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

what is the problem here, what do you not understand ?

you do know fractions, and how to multiply and divide them ? because that would be a precondition for a teacher to give you such a problem to solve.

so, if you do know the handling of fractions, this is very basic and easy thing to solve.

let's get into it then :

2 similar triangles. that means all lengths of all lines in one triangle are the result of multiplying the corresponding lines in the other triangle by a constant factor.

that is the meaning of a scaling factor.

it is like on a map, where it says 1 unit on the map is that many units out there in reality.

your teacher was really nice to point out the right angles and even a second angle (37 degrees), so that we can immediately see, which side or line of one triangle corresponds to which side or line of the other.

when we imagine now to turn e.g. the smaller triangle so that it is oriented the same way as the larger one, we see that QS corresponds to LJ. and QR to LK. and RS to KJ.

so, we are going in the scaling process from left to right. that means we are starting with the larger triangle and turn it into the smaller triangle.

so, what (scaling) factor do I need to multiply with 15 to get 10 ?

it is the same factor to go also from 9 to 6 and from 12 to 8.

15×x = 10

x = 10/15 = 2/3

15 × 2/3 = 30/3 = 10

12 × 2/3 = 24/3 = 8

9 × 2/3 = 18/3 = 6

so, as you can see, 2/3 is the correct scaling factor.

1. Simplify [tex]\frac{1}{3} x[/tex] to [tex]\frac{x}{3}[/tex]

[tex]\frac{x}{3} +2y=8[/tex]

2. Subtract [tex]\frac{x}{3}[/tex] from both sides

[tex]2y=8-\frac{x}{3}[/tex]

3. Divide both sides by 2

[tex]y=\frac{8-\frac{x}{3} }{2}[/tex]

4. Simplify [tex]\frac{8-\frac{x}{3} }{2}[/tex] to [tex]\frac{8}{2}[/tex] - x/3/2

y=8/2-x/3/2

5. Simplify 8/2 to 4

y=4-x/3/2

6. Simplify x/3/2 to x/3x2

y=4-x/3x2

7. Simplify 3x2 to 6

-y=4-x/6

Answer:

−69

Step-by-step explanation:

Hopes this helps and brainlest please!

Answer:

[tex]2 \frac{1}{4} \times \frac{9}{5} [/tex]

[tex] \frac{9}{4} \times \frac{9}{5} \\ \frac{81}{20} [/tex]

Answer:

I'm sure these images should help you. They do a better job at explaining than I do.

Step-by-step explanation:

Look above to see each picture.⤴⤴⤴

They're in order from left to right.

I really hope this helps :)

Also, if it's wrong please let me know.

Answer:

d

Step-by-step explanation:

the polynomial can be factorized by r^2 and then use the quadratic formula

Answer:

61

Step-by-step explanation:

1700/2800 = around .61 so 61%

Answer:

it's562because it's forget more times or divide

Answer:

7/10

Step-by-step explanation:

140/200

the zero at the back of 140 will cancel the zero at the back of 200

2 divide 14=7

and 2 divide 20 =10

so;

140/200

=7/10

Answer:

25000000 is the correct answer

Hopefully this helps!

Answer:

Step-by-step explanation:

Cash remaining=P1, 500.00-P1,325.00

                         =P175

Percent of the remaining cash=      Cash Remaining        × 100

                                                     Cash he originally had

                                                =  P175 × 100

                                                  P1 500        

                                                =11[tex]\frac{2}{3}[/tex] %or 11.6666666% or 11.67% when rounded to two decimal places.              

A percentage is a way to describe a part of a whole. The percent of the remaining cash he has left is 11.667%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Value of the Remaing Cash = P1,500.00 - P1,325.00

                                              = P175.00

Now, the percent of the remaining cash he has left can be written as,

Percentage of remaining cash = (Remaining cash/ Total cash) × 100%

                                                   = (P175.00 / P1,500.00) × 100%

                                                   = 0.011667 × 100%

                                                   = 11.667%

Hence,  the percent of the remaining cash he has left is 11.667%.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Answer:

0

Step-by-step explanation:

If it takes 6 to 10 minutes to make something it's impossible to make it in less than 6 minutes. (the probability is 0)

mathamatically, you can use the CDF for a uniform distribution and get the same answer

(6-6)/(10-6)= 0

Answer:

It’s 105/512, or about 20.51%

Step-by-step explanation:

I don't know, I asked peeps

Answer:

Q that is your answer

Step-by-step explanation:

The marble was traveling at 4.05 miles per hour.

Since in science class, Antonio and Anna were measuring the approximate speed of a marble as it exits from an 8-foot-long ramp, and they discovered that it took 2.1 seconds for the marble to travel 12.5 feet from the end of the ramp, to determine approximately how fast was the marble traveling as it exited from the ramp to the nearest hundredth of a second, the following calculation must be performed:

Therefore, the marble was traveling at 4.05 miles per hour.

Learn more in https://brainly.com/question/23774048

Answer:

y - 10 = -1 (x+4)

y = - x + 6

Step-by-step explanation:

y - 10 = - 1 (x - - 4)

y - 10 = -x - 4

y = -x - 4 + 10

Answer:

The extra monthly charge for the family would be $14.50

Step-by-step explanation:

let x equal the additional monthly charge for legal services

[tex]10 + (25 + x)12 = 484 \\ 10 + 300 + 12x = 484 \\ 310 + 12x = 484 \\ 12x = 174 \\ x = 14.50[/tex]

Answer:

[tex]x=2 , y=1[/tex]

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

[tex]5(3y-1)+10y=20[/tex]

Now solve for y.

[tex]y=1[/tex]

Now plug y back into the bottom equation and solve for x.

[tex]x=3(1)-1[/tex]

[tex]x=2[/tex]

Answer:

[tex] \text{gigel \: are \: mere}[/tex]

Is CP >SP, then loss = CP -SP is true or false:

CP > SP

He got a loss

so, loss = CP - SP

Answer:

9.8 x 2.2 =  21.56 m

distance = time x speed

speed = distance ÷ time

Step-by-step explanation:

The highest point he reached occurred at the vertex, which is at t = -b/2a = 2.2 second. Plugging in t = 2.2

9.8 x 2.2 =  21.56ft

Higher cliffs don't accelerate your fall -- acceleration is constant during free fall. The pull of gravity decreases infinitesimally at higher elevations, but it pulls you with an equal force from the first second of your jump until you decelerate when you hit the water.

Answer:

The slope is -3 and the y-intercept is (0,2)  so the graph is at (0,2) and (1,-1).