Ruben swims several times per week in a lake near his home. Last summer, the average water temperature was 20 °C. This summer, the average water temperature was 16 °C. What was the percent of decrease in the temperature?

Answer:

Sheldon had 2 7/12 kg left

4 1/4 - 1 2/3 = 3 1/4 - 2/3

= 3 3/12 - 8/12

= 2 15/12 - 8/12

= 2 7/12

Hope this helps! have an amazing day :)

Answer:

Simplifying 0.2x = 0.8 Solving 0.2x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.2'. x = 4 Simplifying x = 4

Answer:

1h30min

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

__

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

Detailed Example

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

__

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

  m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

Answer:

C

Step-by-step explanation:

If you rewrite the questions into linear form (y=mx+b) then you get

For the first one

2x-12= -3y

Divide by -3 and get

-2/3x +4 =y

For the second one

-6y=4x -24

Divide by -6 and get

y= -4/6x +4

Simplify the fraction and you get -2/3x+4 =y

Obviously these two lines are identical meaning that any number will work

Answer:

Undefined

Step-by-step explanation:

If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually [tex]x=d[/tex], where [tex]d[/tex] is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.

The slope of vertical lines is undefined.

I hope this helps!

Answer:

3 months

Step-by-step explanation:

So 60 dollar down and 70 per month

130 (60+70)

200

270

now 90 per month but no down

90

180

270

So 3 months

The number of months will be 3 is it until your cost is the same as Mega-er-Gym. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month.

Cost of Megagym = 60 + 70m

Cost of Mega-er-Gym = 90m

90m = 60+70m

20m = 60

m = 60 / 20

m = 3 months

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4(2) + 3(4) =

8 + 12 =

20

and your final answer is 20

Answer:

1360cm

Step-by-step explanation:

34x40=1360

Answer:

1360[tex]cm^{2}[/tex]

Step-by-step explanation:

Since this is a parelelorgram. We can find the area by mulitlying the base and the height. and so we get....

base x height = 40 x 34 = 1360[tex]cm^{2}[/tex]

Answer:

what are you stuck on?

Which problem?

Step-by-step explanation:

Answer:

148 minutes

Step-by-step explanation:

It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How many minutes are there until Emma's gymnastics lessons?\

The time is 3:32 pm

Emma's gymnastics lesson is at 6:00 pm

6:00 pm - 3:32 pm = 2 hours 28 minutes

That is, we have 28 minutes before 4:00 pm

And 2 hours from 4:00 pm to 6:00 pm making a total of 2 hours 28 minutes

How many minutes are there until Emma's gymnastics lessons?

Convert 2 hours 28 minutes to minutes

1 hour = 60 minutes

2 hours = 60 minutes × 2 = 120 minutes

120 minutes + 28 minutes = 148 minutes

2 hours 28 minutes to minutes = 148 minutes

Answer:

4 books per week

Step-by-step explanation:

Table

Books per week Week

4 1

8 2

12 3

16 4

20 5

24 6

28 7

32 8

36 9

9514 1404 393

Answer:

  9

Step-by-step explanation:

As you know, 4 is between 3 and 10, so the middle definition applies.

  f(4) = 4² -7 = 16 -7

  f(4) = 9

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

Step-by-step explanation:

-70x^4 + 30x

= 10x(-7x^3 + 3)

ANSWER: 10x(-7x^3 + 3)

Answer: 4.3%

Step-by-step explanation:

100(23 -23)/23

Answer: C (104)

Step by step explanation:

To find this answer, you would multiply all the answer choices by 25% and then add the answer to 78 and if the answer is that number, then its correct

104 times 25%=26

78+26=104

Answer:

A class has 10 science students, both of Physics and Biology.

If Biology group has 3 students, what's the number of students in the Physics group?

Answer:

Bella takes 90 cookies

Dana takes 45 cookies

Olga takes 15 cookies

Step-by-step explanation:

.6(150) = 90  Bella

.3(150) = 45   Dana

.1(150) = 15    Olga

Answer:

x=6

Step-by-step explanation:

I hope it's helpful

Answer:

[tex]\huge\sf\underline\blue{Answer!}[/tex]

[tex] \sf \: 4x - 4 + 112 = 23x - 6 \\ \sf \: 4x + 108 + 6 = 23x \\ \sf \: 114 = 19x \\ \sf \: = x = 6[/tex]

Answer:

x = 36 , 2x = 72 , 3x = 108 , 4x = 144

Step-by-step explanation:

2x = P+Q      (ΔABC, exterior angle property)

4x = R+S       (ΔDBC, exterior angle property)

4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x)  (supplementary)

6x = 360 - 4x

10x = 360

x = 36

2x = 72

3x = 108

4x = 144

check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360

An air traffic controller is tracking two planes. To start, Plane A was at an altitude of890 meters, and Plane B was at an altitude of1322 meters. Plane A is losing altitude at 16 meters per second, and Plane B is losing altitude at25 meters per second. Expression which shows altitude of plane after x seconds.

Equation to show when they'll both be at the same altitude

Answer:

890 - 16x ; 1322 - 25x ; 9x = 432 = x = 48

Step-by-step explanation:

Plane A:

Altitude = 890 m

Altitude loss = 16 m per second

Plane A:

Altitude = 1322 m

Altitude loss = 25 m per second

Equation :

Altitude - (altitude loss * time)

Plane A:

890 - 16x

Plane B:

1322 - 25x

Plane A = Plane B

890 - 16x = 1322 - 25x

-16x + 25x = 1322 - 890

9x = 432

x = 432 / 9

x = 48 seconds

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Answer:

2

Step-by-step explanation:

I Think its 2 I'm not sure Correct me if I'm wrong in comments.

Answer:

[tex]a=-13[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]a[/tex]:

[tex]qt+a=-1[/tex]

[tex]3(4)+a=-1[/tex]

[tex]12+a=-1[/tex]

[tex]a=-13[/tex]

Hope this helps :)

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is [tex]a_n=-6(-3)^{n-1}[/tex]

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

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