Mark buys a wooden board that is feet long. The cost of the board is $1.50 per 5 1/4 foot, including tax. What is the total cost, in dollars, of Mark’s board

Answers

Answer 1

Answer: it would just be the tot foot time the cost

7.5 X 0.50 = $3.75

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What is 2y+x=-6 and y=-2x+0 using substitution method?

Answers

2y + x = -6
y = -2x + 0

We can substitute the second equation into the first one.

2y + x = -6
2(-2x + 0) + x = -6
-4x + x = -6
-3x = -6

Divide -3 on both sides.

x = 2

Now, plug x = 2 into any equation and solve for y.

y = -2x + 0
y = -2(2) + 0
y = -4

The solution to the system of equations is (2,-4).

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered? A. 7
B. 8
C. 9
D. 10

Answers

Let a be the number of soups ordered and b be the number of sandwiches ordered. We know that, a + b = 18, so a = 18 - b. Now we form an equation for the total cost, which is: 4.5a + 7.75b = 113.5. Now, we substitute the value of a into the cost equation to form a single equation in terms of b, number of sandwiches, only. 4.5(18 - b) + 7.75b = 113.5. Solving for b, we get b = 10. Therefore, the answer is D.

Write an equation for the line below. Show work

Answers

x=3 is your answer. This is because it only crosses the x-axis and this occurs at positive 3. y=3 on the other hand would be a horizontal line that only touches positive 3 on the y-axis.

Evaluate 15÷3·(-2) + |-10|

Answers

The answer is 0. If you plug it into a calculator it takes only 5 seconds.

Which inequality represents the values of X that insure triangle ABC exists

Answers

Answer:

7/4 < x < 11/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer

Given the information:

AB: 2x + 4
BC: 6x
AC: 16

All of these three triangle inequalities must be satisfied:

AB +BC > AC

<=> 2x + 4 + 6x > 18

<=> 8x > 14

<=> x > 7/4

BC +CA > BA

6x + 18 > 2x + 4

<=> 4x > -14

<=> x > -14/4

CA +AB > CB

18 + 2x + 4 > 6x

<=> 22 > 4x

<=> x < 11/2

So the inequality represents the values of X that insure triangle ABC exists is: 7/4 < x < 11/2

Hope it will find you well.

Write an equation with variables on both sides that has no solution. How can you change the equation so that it has infinitely many solutions?

Answers

Answer:

No Solution: 2x + 3 = 4x + 3

Infinite Solutions: 2x + 3 = x + x + 3

Step-by-step explanation:

You're welcome

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