Juan tiene un bidón de 5 litros de capacidad, llenado hasta los 2 1/3 litros. ¿Cuántos litros le faltan para llenarlo?

Answer:

- x= 10-6y+y²

Step-by-step explanation:

|x-1|=3-y

(|x-1|)²=(3-y)²

x-2x+1=9-6y+y²

-x=9-6y+y²+1

Answer: 7 years

Step-by-step explanation:

Let the number of years be x. Therefore, their ages in x years will be:

Daughter = x

Mother = 27+x

Father = 30+x

Their mean age will then be:

[x + (27+x) + (30+x)]/3 = 26

(3x + 57) / 3 = 26

Cross multiply

3x + 57 = 26 × 3

3x + 57 = 78

3x = 78 - 57

3x = 21

x = 21/3

x = 7

Therefore, the answer will be 7 years

Check: Daughter = x = 7 years

Mother = 27+x= 27+7 = 34 years

Father = 30+x = 30 + 7 = 37 years

Mean= (7+34+37) / 3 = 78/3 = 26 years

Answer:

I believe 188.68

Answer:

188.68

Step-by-step explanation:

first we divide 11/100 =0.11 then 0.11*212= 23.32

then 212-23.32= 188.68

Answer:

Its 125.6

Step-by-step explanation:

20 times Pi is 62.8 and then you multiply this by 2.

Answer:

c = 25m + 40

Step-by-step explanation:

Given:

The expression is:

[tex]6x^2+3x+21[/tex]

To find:

The factor of the given expression by GCF.

Solution:

We have,

[tex]6x^2+3x+21[/tex]

Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].

Taking out GCF, we get

[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]

Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].

Answer:

y = 312x + 2

Step-by-step explanation:

According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).

(x, y)

(0, 2) ---> y-intercept (b)

Now that we have found the y-intercept, we will now find the slope by using its formula.

Slope formula:-

m = y2 - y1 / x2 - x1

Pick two random (x, y). I will pick the first and last pairs.

(0, 2) and (4, 1250)

Now plug these two pairs in the formula.

m = y2 - y1 / x2 - x1

m = 1250 - 2 / 4 - 0

m = 1248 / 4

m = 312

This means that the slope (m) is 312. Now put that in y = mx + b form.

y = mx + b

y = 312x + 2

Both of the forms are the same. Hope this helps, thank you :) !!

It is A because it is only $40.000 so therefore it is A.

Answer:

The answer is 89.22

Step-by-step explanation:

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

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

Answer:

6.28

Step-by-step explanation:

½ × 3.47²

This approximates to roughly 6/7 = 0.8571

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

Explanation:

Let's define the following

There are 30 students in the class total. This must mean A+B+C+D = 30.

We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.

We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).

This means:

A+B+C+D = 30

(A+B)+C+D = 30

(21) + C + 7 = 30

C+28 = 30

C = 30-28

C = 2

We have 2 people who failed the test, but did the hw.

Because 20 students did the hw, we know that

A+C = 20

A+2 = 20

A = 20-2

A = 18

We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.

The probability we're after is therefore:

18/21 = (3*6)/(3*7) = 6/7

Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.

Answer:

6/7

Step-by-step explanation:

It's correct trust me.

Answer:

A: x<7/12

Step-by-step explanation:

I hate math too :)

The sign wouldn't be flipped cause you don't have to divide, and 5/6 - 1/4 is 7/12. Hope this helps

Answer:

Nelly should take out the pies after 64 mins or an hour and four minutes.

Step-by-step explanation:

Answer:

27.83 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

negative 5 is less then -3 is the statement. so saying that -3 is less than five, is false.

remember your number line.

-5_-4_-3_-2_-1_0_1_2_3_4_5_6

five sure is to the left of three, and saying that three is to the right of five is the exact same thing.

Answer:

1. 22

2. 7*3=21

3. 2

4. 8

Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)

1. Using algebra I put the missing variable as x.

"add 5 to me" is x+5.

"divide by 9, you get 3"

[tex]\frac{x+5}{9}[/tex] = 3

Begin solving by multiplying 9 to the 3 on the other side

x+5 = 27

Subtract 5 to get x by itself

x = 22

2. An equivalent multiplication sentence can be found using algebra.  

21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]

Using algebra we know if we multiply 7 onto both sides we end up with

7*3=21

3.

Combined total of 16 fumbles

8 players

Same amount of fumbles

How many fumbles per player?

I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.

4. Algebra

[tex]\frac{x * 7 - 2}{6} =9[/tex]

First is multiplication: x*7 = 7x

[tex]\frac{7x - 2}{6} =9[/tex]

Then division: Multiply the 6 over because we don't like fractions

[tex]{7x - 2} = 54[/tex]

Next we add the 2 over

[tex]{7x } = 56[/tex]

Then divide by 7 to solve for x

x=8

Answer:

Papyrus

Step-by-step explanation:

the one that's not right is the 3rd one

Answer:

B) The value of r would not change

Step-by-step explanation:

If there's a positive association between sodium and calories, that's like saying there's a positive association between calories and sodium. Therefore, the value of r would not change because both variables are still increasing with each other.

Answer:

127.2

Step-by-step explanation:

The area of a semicircle is:

[tex]\frac{\pi r^{2} }{2}[/tex]

So to figure it out we first find the diameter:

18÷2=9

Then we plug it into the equation

[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)

Answer:

I believe the answer is C. -10 < x <2

Step-by-step explanation:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right already! :)

The solution is, The mean will increase more than the median, but both will increase.

[third option listed]

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                   13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

so, we get,

"The mean will increase more than the median, but both will increase." [third option listed]

To learn more on median click:

brainly.com/question/20425811

#SPJ7

Answer:

1) D =65

2) C = 52

3) D =18

4) B =10

5) A = 72 and 108

Step-by-step explanation:

1) D =65

2) C = 52

3) D =18

4) B =10

5) A = 72 and 108

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

Answer:

A) 22%

Step-by-step explanation:

probabilities of selecting:

starburst = .40

jolly = .18

milky = .20

These probabilities total 78% which means the other 22% must be what remains for snickers.

Answer:

ioujyghfdgtrssssfhyjukh

Step-by-step explanation:

Answer:1

Step-by-step explanation:

because 1 devided by 3 is 3 and 1 devided by 25 is 5

Answer:

85 degrees

Step-by-step explanation:

Hi there!

<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:

60+25=x

85=x

Therefore, angle x measures 85 degrees.

I hope this helps!

Answer:

85

Step-by-step explanation: