MATHEMATICS HIGH SCHOOL

-4x + 9 = -7x - 12 +7x +7x 3x + 9 +12 -9 -9 3X 3 ------ = ------ 3 3 x= 1 What is the error or is there no error ?

Answers

Answer 1

Answer:

Answer:

Okay, I think you mean't 4x-9=6x+12.

Step-by-step explanation:

x=-7

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If 4 desk lamps cost $20 what is the avarage cost per lamp

Answers

20 ÷ 4 = 5 (?) heh (O.o)

4 lamps=$20

1 lamp=$x

20/4=x

20/4=$5

During his tennis career in singles play, John won 3 fewer tournament A titles than tournament B titles, and 2 more tournament C titles than tournament B titles. If he won 17 of these titles total, how many times did he win each one? How many A titles
How many B titles
How many C titles

Answers

ok use why they told you.

17=A+B+C & A=B-3 &C=2+B
we only what to work with one variable at a time.
lucky for us we have an idea of what "A" & "C" are. we can plug those into our first equation respectively.

SOLVE FOR B

17= (B-3)+B+(2+B)
17=B-3+B+2+B
17=3B-1
17+1=3B
18=3B
18/3=B
6=B (this means he won 6 B titles)

SOLVE FOR A

A=B-3
A=6-3
A=3

SOLVE FOR C

C=2+B
C=2+6
C=8

CHECK

17=A+B+C
17=3+6+8
17=17

At a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?

Answers

Answer: y=8x-2

Step-by-step explanation

Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2

Answer:

Step-by-step explanation:

y=8x-2

For which system of equations is (2, 2) a solution?a. –3x + 3y = 0 x + 6y = 10
b. –2x + 5y = –6 4x – 2y = 4
c. 5x – 2y = –6 3x – 4y = 2
d. 2x + 3y = 10 4x + 5y = 18

Answers

Plug the values (x,y)=(2,2) into the equations and check if they satsify them.

a.
$-3x+3y=0 \nx+6y=10 \n \n\hbox{the first equation:} \n-3 * 2+3 * 2=0 \n-6+6=0 \n0=0 \ntrue \n \n\hbox{the second equation:} \n2+6 * 2=10 \n2+12=10 \n14=10 \nfalse \n \n\hbox{(2,2) satisfies only one of the equations} \n\hbox{so it's not a solution to the system of equations}$

b.
$-2x+5y=-6 \n4x-2y=4 \n \n\hbox{the first equation:} \n-2 * 2 + 5 * 2=-6 \n-4+10=-6 \n6=-6 \nfalse \n \n\hbox{the second equation:} \n4 * 2-2 * 2=4 \n8-4=4 \n4=4 \n true \n \n\hbox{(2,2) satisfies only one of the equations} \n\hbox{so it's not a solution to the system of equations}$

c.
$5x-2y=-6 \n3x-4y=2 \n \n\hbox{the first equation:} \n5 * 2 - 2 * 2=-6 \n10-4=-6 \n6=-6 \nfalse \n \n\hbox{the second equation:} \n3 * 2 - 4 * 2=2 \n6-8=2 \n-2=2 \nfalse \n \n\hbox{(2,2) satisfies none of the equations} \n\hbox{so it's not a solution to the system of equations}$

d.
$2x+3y=10 \n4x+5y=18 \n \n\hbox{the first equation:} \n2 * 2 + 3 * 2=10 \n4+6=10 \n10=10 \ntrue \n \n\hbox{the second equation:} \n4 * 2 + 5 * 2 =18 \n8+10=18 \n18=18 \n \n\hbox{(2,2) satisfies both of the equations} \n\hbox{so it is a solution to the system of equations}$

The answer is D.

Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 5}. List the outcomes in A ∩ B. {1,3,5,7,9,11}
{1,5}
{3,5}
{5}

Answers

The outcomes that fall in A∩B are {5} only.

What do we mean by the intersection of events?

The intersection of two or more events is the number of outcomes that are common to both events. It is represented by an inverted-U sign, '∩'.

How do we solve the given question?

We are said that Ramona is playing a board game with two number cubes.

∴ All possible outcomes when the cubes are rolled by Ramona are:

(1,1) (1,1) (1,1) (1,1) (1,1) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

We are given two outcomes,

A = {the sum of the number cubes is odd}

B = {the sum of the number cubes is divisible by }

When we sum numbers on cubes for each outcome, we get

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

The outcomes with odd sum are:

(1,2) (1,4) (1,6)

(2,1) (2,3) (2,5)

(3,2) (3,4) (3,6)

(4,1) (4,3) (4,5)

(5,2) (5,4) (5,6)

(6,1) (6,3) (6,5)

∴ A = {3, 5, 7, 9, 11}

The outcomes with sum divisible by 5 are:

(1,4) (2,3) (3,2) (4,1) (4,6) (5,5) (6,4)

∴ B = {5,10}

Now, we check for common terms in A and B to find A∩B.

We only have one common term in A and B, which is 5.

∴ A∩B = {5}

Learn more about Set theory at

brainly.com/question/13458417

#SPJ2

A interesection B means similarities between the two sets.
The possible values you can get in B are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

A:
3, 5, 7, 9, 11

Therefore A intersection B = {3, 5, 7, 9, 11}

How do you solve 4 x - 11 = 21

Answers

$4 x - 11 = 21 \n \n 4x =21+11\n \n4x = 32 \ \ /:4 \n \nx= (32)/(8) \n \nx=4$

4x - 11 = 21
4x = 21 + 11
4x = 32
x = 32 divided by 4
x = 8
Hope that helps! :)

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Help please thanks so much