Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.

Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???

Answer:

11

Step-by-step explanation:

26=7(g-9)+12

14=7(g-9)

2=g-9

g=11

7 ( X — 1 ) + 15 ( X + 9 )

= 7 X — 7 + 15 X + 135

= 22 X + 135 — 7

= 22 X — 128 ( Ans )

7 ( X – 1 ) + 15 ( X + 9 )

= 7X – 7 + 15X + 135

= 7X + 15X + 135 – 7

= 22X + 128 ( Answer )

Answer:

45+61=106

the answer for this question is 106 minutes

Step-by-step explanation:

Answer:

106 minutes/1hour 46 minutes

Step-by-step explanation:

45+ 61 :106

= 3×4+3×3-5×2/12

=12+9-10/12

=21-10/12

=11/12

Answer:

everything but 2 and 5 was correct

Step-by-step explanation:

Like terms are those terms that are having the same variables, also the variables are of the same order as well. There are two wrong pairs in given pairs of like terms.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

For example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

Rebecca is wrong because she had made a pair of (1/2)x and (1/2), which is wrong. Also, pairs 5a and 5b are wrong. This is because in each of the two pairs the terms do not have the same constant term with them.

Therefore, we can write the terms as,

Hence, there are two wrong pairs in given pairs of like terms.

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Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

1/6 * 360 = 60

Answer:

1200$

Step-by-step explanation:

All right, you usually pay 160 dollars but with the extra 25% off sale, you pay 120(160 ÷ 4 = 40, 160 - 40 = 120). BUT you have the extra VAT charge you will pay 150 dollars every day. You stay for 8 nights so 150 × 8 = 1200

Step-by-step explanation:

a=2,b=-4,c=7,d=-3

b-a(cd+b)+a=-4-2(7×-3)+2

=-6(-21)+2

=126+2

=128

Keep smiling and hope u are satisfied with my answer.Have a nice day:)

Answer: 48

Given:

a = 2

b = -4

c = 7

d = -3

Now

b - a(cd + b) + a

-4 -2(7(-3) + (-4)) + 2

-4 -2(-21-4) + 2

-2 -2(-25)

-2+50

48

Must click thanks and mark brainliest

Answer:

A fraction that is equivalent to

8

3

is

16

6

.

Explanation:

To determine a fraction that is equivalent to

8

3

, multiply by a fraction equivalent to 1

A fraction equivalent to 1 is a fraction such as

2

2

and

3

3

. Multiplying by these is the same as multiplying by 1, so the ratio does not change.

One example is to multiply

8

3

by

2

2

.

8

3

×

2

2

=

16

6

8

3

and

16

6

have the same ratio, 3:8.

If you divide each numerator by each denominator, the result will also be the same.

3÷8=0.375

6÷16=0.375

You can do this with any equivalent fraction, even

100

100

and higher!

Other equivalent fractions to

8

3

are:

24

9

,

32

12

,

64

24

,

160

60

,

168

63

Answer:

27

Step-by-step explanation:

Triangle proportionality theorem: when you draw a line parallel to one side of a triangle, it'll intersect the other two sides of the triangle and divide them proportionally

[tex]\frac{26}{39}=\frac{18}{x}[/tex]

Cross multiply and you get 702=26x

x=27

Answer:

x=27

Step-by-step explanation:

-We can use the triangle proportionality theorem: if line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.

-we write the proportion and solve for x

[tex]\frac{39}{26} =\frac{x}{18}[/tex]

[tex]x= \frac{39*18}{26}[/tex]

x= 27

Answer:

Is 11

Step-by-step explanation:

x+(-y)+z —> -5 +(+7)+9 = -5+7+9 = 11

The ratio is (J/W) = 7/6. Or. J= (7/6)• W .

Second line: J= (7/6)• 24. J= 28.

Third line: J= (7/6)• 18. J= 21

Answer:

The above equals

(32x^2*y^5)1/2

Therefore

32^1/2*x*y^5/2

Answer:

its 30 sugar maple trees and 10 red oak trees

Step-by-step explanation:

Number of red oak trees = 10

And, Number of sugar maples trees = 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A landscaping company placed an order for 40 new trees.

And, The red oak trees cost $25 a piece and the sugar maples trees cost $18. the total order was for $790.

Let number of red oak trees = x

And, Number of sugar maples trees = y

Hence, We can formulate;

⇒ x + y = 40

⇒ 25x + 18y = 790

By solving we get;

y = 30

x = 10

Thus, Number of red oak trees = 10

And, Number of sugar maples trees = 30

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Answer:

Its the first one

Step-by-step explanation:

A dump truck that is 1/10 is less full than a 7/10 one.

Answer:

3

Step-by-step explanation:

m = y2 - y1 / X2 - X1

-1 is your X1 . -4 is your y1

2 is your X2 . 5 is your y2

just replace what's in the equation

m= 5 - (-4) / 2 - (-1)

m= 9 / 3

m = 3

hi there

the explanation is in the picture

Answer:

Step-by-step explanation:

There are 2 possibilities. Either you need to know the angles connect to the common side (that would give you ASA) or you need to know GF = UT. The latter would give you SAS

Answer:

8 ducks, 12 cows

Step-by-step explanation:

Let the ducks be x in number and cows be y in number

ATQ, x+y=20 and 2x+4y=64, solving we get y=12 and x=8.

If farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs.

Suppose the number of head and legs be x and y respectively.

If His animals have a total of 20 heads and 64 legs,

x+y=20

2x+4y=64,

Solving the above equations we get y=12 and x=8.

Thus, if a farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.

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Answer:

252

Step-by-step explanation:

The conversion factor is

180/pi

7pi/5 * 180/pi = 7 *180/5 = 252 degrees

Answer:

F. 1/2

Step-by-step explanation:

If the ratio of team assistants to players are 1/6 and there are 36 players that means that there are 6 team assistants. If we do the ratio of coaches to assistant that would be 3/6 or F. 1/2

Answer:

x = 45

Step-by-step explanation:

1/3x = 15          (Given)

3(1/3x) = 15(3)  (Multiply 3 on both sides)

x = 45              (Simplify)

Answer:

45

Step-by-step explanation:

1/3x = 15

Multiplying 3 on both sides,

3(1/3x) = 15(3)

x = 15 x 3

x = 45

The time that taken for the two trains is 1.2 hours.

The computation of the time taken for the two trains is shown below:

Given that

The westbound train travels 55 miles per hour.

And, the eastbound train travels 75 miles per hour.

So, the total speed is

= 55 miles per hour + 75 miles per hour

= 130 miles per hour

The distance is 156 miles

So, the time taken is

[tex]= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\ miles\ per\ hour}\\\\[/tex]

= 1.2 hours

Therefore we can conclude that the time that taken for the two trains is 1.2 hours.

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Answer:

1.2 hours

Step-by-step explanation:

Given data:

Speed of the westbound train = [tex]55 miles/hr[/tex]

Speed of the eastbound train = [tex]75 miles/hr[/tex]

Since the trains are moving in the opposite direction their relative speed becomes,

[tex]55 miles/hr +75 miles/hr=130 miles/hr[/tex].

Since, time = distance / speed

Now the time taken for the two trains to be 156 miles apart

[tex]time = \frac{156 miles}{130 miles/hr} \\=1.2 hours[/tex]

Hence, the time taken for the two trains to be 156 miles apart = [tex]1.2 hours[/tex]

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Answer: D

Step-by-step explanation:

3/4 is equal to 0.75.

A is pretty easy. You just add the numerator and get 3/4. So, that is NOT the answer.

B is 9/12. If you divide 9 and 12, it gives 0.75, which is equal to 0.75. This NOT the answer.

C is 6/8 and simplifies into 3/4 so is this is NOT the answer.

D is 3/12 and when you dividere the umerator and the denominator, it gives 0.25 or 1/4, which isn’t equal to 3/4. This IS the answer.

Hope this helped!

The expression that is not equal to 3/4 will be 1/12 + 2/12. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Let's check all the options. Then we have

A. 1/4 + 1/4 + 1/4, then the value of the expression is given as,

1/4 + 1/4 + 1/4 = 3/4

B. 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8, then the value of the expression is given as,

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6 / 8

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 3 / 4

C. 3 / 12 + 6 / 12, then the value of the expression is given as,

3 / 12 + 6 / 12 = 9 / 12

3 / 12 + 6 / 12 = 3 / 4

D. 1 / 12 + 2 / 12, then the value of the expression is given as,

1/12 + 2/12 = 3 / 12

1/12 + 2/12 = 1 / 4

The expression that is not equal to 3/4 will be 1/12 + 2/12. Then the correct option is D.

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Answer:

Hello,

F=(14,-8)

directrice: x=16

Step-by-step explanation:

Making reduce form:

[tex]y^2+16y+4x+4=0\\y^2+2*8y+64-64+4x+4=0\\\\(y+8)^2-60+4x=0\\\\x=-\dfrac{(x+8)^2}{4} +15\\[/tex]

Since i prefere working with y=...: exchanging x and y

[tex]y=-\dfrac{(x+8)^2}{4} +15\\\\Comparing\ to\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\a=-8 :\ S=(-8,15)\\\\\\b-k=-2\ and\ b+k=30 \ \longrightarrow\ b=14\ and\ k=16\\\\Exchanging\ x\ and\ y:\\\\Focus=(14,-8)\\\\x=16[/tex]

Answer:

14.32

Step-by-step explanation:

Since this is a right triangle, we can us the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + 14^2 = JL ^2

9+196 = JL ^2

205 = JL ^2

Taking the square root of each side

sqrt(205) = JL

14.31782106 = JL

To 2 decimal places

14.32

We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.

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

Profit is given by revenue subtracted by cost.

In this question:

Thus, the profit of selling x televisions is:

[tex]P(x) = R(x) - C(x)[/tex]

[tex]P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)[/tex]

[tex]P(x) = 3x^2 + 180x - 3x^2 + 160x - 300[/tex]

[tex]P(x) = 340x - 300[/tex]

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

For 150 televisions, we have P(150), so:

[tex]P(150) = 340(150) - 300 = 50700[/tex]

If 150 televisions are sold, the profit is $50,700.

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Answer:

V = ≈615.75

Step-by-step explanation:

hopefully that helped

Answer:

y-3

Step-by-step explanation: