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Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?

Answers

Answer 1

Answer: $x-cost\ of\ DVD\ny-cost\ of\ video\ game\n\n \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \n\n From\ first\ second:\n11x=220-11y\ \ \ \ |:11\nx=20-y\n\nSubstitute\ to\ first:\n3(20-y)+14y=203\n60-3y+14y=203\n-3y+14y=203-60\n11y=143\ \ \ \ |:11\ny=13\n\nx=20-13=7\n\n \left \{ {{y=13} \atop {x=7}} \right.$

Answer 2

Answer: 3D+14G=203(11) use elimination 33D+154G=2233
11D+11G=220(-14) to cancel G -154D-154G=-3080

-121D=-847 divide by -121 on both sides
D=7 plug back into equation
11(7)+11G=220
77+11G=220 subtract 77 from both sides
11G=143 divide by 11 on both sides
G=13

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Solve for x: 3 < x + 3 < 66 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3

Answers

Answer:

C. 0 < x < 3

Step-by-step explanation:

Given:

3 < x + 3 < 6

Substract 3 from each side:

3 - 3 < x + 3 - 3 < 6 - 3
0 < x < 3

Correct choice is C

3<x+3<6

Subtract 3

3-3<x<6-3
0<x<3

Option C

What numbers are divisble by 23 but are between 2 and 10?

Answers

That is impossible.

For a number to be divisible by 23, it has to be greater than 23.

A number cannot be greater than 23, if you have restricted it to be within the numbers 2 and 10.

PLEASE HELP ME!!!!!!!!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER THESE CORRECTLY!Find the value of x

Answers

Answer:

question 4 ... x = -11

question 5.... x = -7

question 6... x = 12

question 7.... x = 10

Step-by-step explanation:

number 4

note : the total angle of a triangle is 180 degrees

hence solve this by creating an equation

x + 51 + 60 + 80 = 180

x = 180 - 80 -60-51

x = -11

number 5

note : the total angle of a triangle is 180 degrees

hence solve this by creating an equation

remember that a right angle is 90 degrees

45 + 52+x + 90 = 180

x = 180 - 90 -52 -45

x = -7

number 6

note : the total angle of a triangle is 180 degrees

hence you can solve this by creating an equation

53 + 39+ 4+7x = 180

now make x the subject of the equation

7x = 180 - 53 - 39 - 4

7x = 84

x = 84/7

x = 12

number 7

note : the total angle of a triangle is 180 degrees

hence solve this by creating an equation

6x - 5 + 5x + 75 = 180

now make x the subject of the equation

6x +5x = 180 - 75 + 5

11x = 110

x = 110/11

x= 10

As the angles of the triangle are equal to 180
Therefore,
180=53+39+4+7x
180-96=7x
84=7x
X=12
Part 2
180=5x+6x-5+75
180-70=11x
110=11x
X=10
This is for page 1 questions

Ella and Kate played basketball last year. Ella scored 16 points per game. Kate's total points for the season were 22 less than Ella's. The following expression shows Kate's total points: 16z-22 In the expression what does the variable z represent?

Answers

The total number of games!

In the given, it is stated that Ella scored 16 points per game and that the total points of Kate were 22 less than Ella's.

If we wish to get Kate's total points and letting x as the total number of games and y as the total points, then
y = 16x - 22

Therefore, z = x, and z is the total number of games.

If U=pi(r+h),find r when U=16 1/2 and h=2
solve this question by taking the value of pi 22/7

Answers

U=π(r+h)
r+h=U/π
r=U/π - h

Data:
U=16 1/2=16 + 1/2=(16*2+1)/2=33/2
h=2
π=22/7

Then:
r=U/π - h
r=(33/2)/(22/7) - 2
r=(33*7)/(2*22) - 2
r=231 /44 - 2
r=(231-2*44)/ 44
r=(231-88)/44
r=143/44 = (3*44 + 11)/44=3 11/44

Answer: r=143/44 or 3 11/44

U = π* (r + h ) [ : π

$(U)/( \pi ) = r + h \n \n r = (U)/( \pi ) - h \n \n r = (16,5)/( \pi ) - 2 \n \n r = (165)/(10) : (22)/(7) - 2 \n \n r = (33)/(2) * (7)/(22) - 2 \n \n r = (3)/(2) * (7)/(2) - 2 \n \n r = (21)/(4) - 2 = 5,25 - 2 = 3.25 Answer r = 3,25$

What is |3.5| simplified?

Answers

|3.5| = 3.5

Any negative or positive number will always have an absolute value that is positive.

For example, | -3.5| = 3.5

3.5 can also be expressed a fraction.

3.5 * 2/2 = 7/2

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