MATHEMATICS HIGH SCHOOL

0.5s + 1 = 7 + 4.5s

Show work, and answers please. This is for algebra 1.

Answers

Answer 1
Answer: 0.5s + 1 = 7 + 4.5s   Subtract 4.5s from both sides
  -4s + 1 = 7              Subtract 1 from both sides
       -4s = 6              Divide both sides by -4
          s = -(6)/(4)   Simplify
          s = -(3)/(2)
Answer 2
Answer: Simplifying 0.5s + 1 = 7 + 4.5s Reorder the terms: 1 + 0.5s = 7 + 4.5s Solving 1 + 0.5s = 7 + 4.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4.5s' to each side of the equation. 1 + 0.5s + -4.5s = 7 + 4.5s + -4.5s Combine like terms: 0.5s + -4.5s = -4s 1 + -4s = 7 + 4.5s + -4.5s Combine like terms: 4.5s + -4.5s = 0.0 1 + -4s = 7 + 0.0 1 + -4s = 7 Add '-1' to each side of the equation. 1 + -1 + -4s = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4s = 7 + -1 -4s = 7 + -1 Combine like terms: 7 + -1 = 6 -4s = 6 Divide each side by '-4'. s = -1.5 Simplifying s = -1.5

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Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6 A. (4, –1)
B. (0, –6)
C. (6, –1)
D. (–6, –6)

Answers

Answer:

D)  ( -6 , -6 ) .

Step-by-step explanation:

Given  : 2x – 6y = 24 and   –5x + 6y = –6 .

To find : Solve the following system by any method.

Solution : We have given that

2x – 6y = 24 -------(1)

–5x + 6y = –6 ------(2)

______________             ( Adding both equations)

-3x + 0 = 18.

________________

-3x = 18

On dividing by - 3 both sides

x = -6 .

Plugging the value x = -6 in equation 1.

2x - 6y = 24 .

2 ( -6) - 6y = 24.

-12 -6y = 24 .

On adding both sides by 12.

- 6y = 24 +12

-6y = 36

On dividing by -6 both sides.

y = -6 .

Solution ( -6 , -6 ) .

Therefore, D)  ( -6 , -6 ) .
2x - 6y = 24
-5x + 6y = -6
----------------add
-3x = 18
x = 18/-3
x = -6
 
2x - 6y = 24
2(-6) - 6y = 24
-12 - 6y = 24
-6y = 24 + 12
-6y = 36
y = 36/-6
y = -6

solution is : (-6,-6)

Please help don’t understand

Answers

Answer:

r = 4

Step-by-step explanation:

If we clearly observe a point and the slope of the line are given.

Point=(5, -6)   slope= -5

We know that the equation of the line having slope m and passing through point (x_(1) , y_(1))  is

y-y_(1)=m(x-x_(1))

Now the equation of the line is y-(-6)=(-5)*(x-5)

y+6=-5x+25

5x+y=19

Now given that (3,r) lies on this line

5*3+r=19

r = 4

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?9 inches
8 inches
7 inches
6 inches

Answers

According to the rule that any 2 shorter sides have to be longer (not equal) to the other side, the answer is 9 inches.

4 + x > 12
x > 8

The answer is 9 inches, as x>8 doesn't include 8 in its domain.

the sales tax in Illinois is 6.25%. about how much will a pair of jeans that has a ticket price of $48.99 cost, including sales tax?

Answers

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

                 = $49.05


Therefore, the total cost including sales tax is $49.05

Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles?

Answers

Answer:

Step-by-step explanation:

0.2

Total number of students: 90

Total number of students who were cast: 1/3 x x 90 = 30

Number of students who got a major role: 6

Fraction of students who got a major role: 6/30

Fraction of students who got a major role: 1/5

1/5 as a decimal is 0.2

So in conclusion, the fraction of students who were cast and got major roles is 1/5 and the answer as a decimal is 0.2!

Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850 yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of the land? A. 35.4%
B. 17.7%
C. 64.6%
D. 32.3%

Answers

1) First find the areas:
100 * 850 = 85000
140 * 940 = 131600
2) Find the percent error in the area
percent error = (experimental value - accepted value)/(accepted value) *100
% error = (85000 - 131600)/(131600) * 100 = 35.4%
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