MATHEMATICS HIGH SCHOOL

How to solve 9x+5=28
-3x-10y=-26 by Elimination

Answers

Answer 1
Answer: so elimination
I assume that you meant to write
9x+5y=28 and not 9x+5=28
so

elimination is basically eliminating values

9x+5y=28
-3x-10y=-26
we can either cancel out the x terms or the y terms, I will cancel out the y terms

9x+5y=28
multipy both sides by 2
18x+10y=56
add to other equation


18x+10y=56
-3x-10y=-26  +
15x+0y=30
15x=30
divide both sides by 15
x=2

subsitute

9x+5y=28
9(2)+5y=28
18+5y=28
subtract 10 from both sides
5y=10
divide both sides by 5
y=2


x=2
y=2
Answer 2
Answer: 9x + 5 = 28
      - 5   - 5
      9x = 23
       9      9
        x = 2⁵/₉

-3(2⁵/₉) - 10y = -26
    -7²/₃ - 10y = -26
  + 7²/₃             + 7²/₃
            -10y = -18¹/₃
             -10      -10
                 y = 1⁵/₆
           (x, y) = (2⁵/₉, 1⁵/₆)

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Three copies of a triangle were rotated and positioned as shown. Which statement is always true about the angles in the figure?a. Angle a and angle b form a right angle
b. Angle a, angle b, and angle c, form a straight angle.
c. angle a, angle b, and angle c from a acute angle.
d. Angle a and angle c form a right angle

Answers



If the above image is the supposed image for this problem, then,

B. Angle A, Angle B, and Angle C, form a straight angle.

A straight angle is 180°. C A B found in the middle of the picture forms the 180° straight angle.

Right angle is an angle which is equivalent to 90°
Acute angle is an angle which has less than 90°

As I can observe, the three triangles have two equal sides and two equal angles. These triangles are identified as isosceles triangles. 

A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?

Answers

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8

The data set represents the most recent sale price, in thousands of dollars, of ten homes on a street.85 91 93 99 99 99 102 108 110 115
What is the MAD?

Group of answer choices

6.92 (in thousands of dollars) or $6,920

7.84 (in thousands of dollars) or $7,840

4.35 (in thousands of dollars) or $4,350

8.96 (in thousands of dollars) or $8,960

Answers

Answer:

Step-by-step explanation:

To calculate the Mean Absolute Deviation (MAD) for a set of data, follow these steps:

1. Find the mean (average) of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is:

85 + 91 + 93 + 99 + 99 + 99 + 102 + 108 + 110 + 115 = 1001

Dividing 1001 by 10 (the number of values) gives us the mean:

1001 / 10 = 100.1

2. Subtract the mean from each value in the data set and take the absolute value of the result. This gives us the deviation of each value from the mean. For example, the deviation of the first value (85) from the mean (100.1) is:

|85 - 100.1| = 15.1

Repeat this step for all the values in the data set.

3. Calculate the average of these deviations to find the Mean Absolute Deviation. Add up all the deviations and divide by the total number of values. In this case, the sum of the deviations is:

15.1 + 8.9 + 6.9 + 0.9 + 0.9 + 0.9 + 1.9 + 7.9 + 9.9 + 14.9 = 77.1

Dividing 77.1 by 10 (the number of values) gives us the Mean Absolute Deviation:

77.1 / 10 = 7.71

Therefore, the correct answer is not listed among the given options. The MAD for the given data set is approximately 7.71 (in thousands of dollars) or $7,710.

Is the suare root of 13/16 rational or irrational

Answers

Answer:

It is an irrational number (also it's spelled square root)

Answer:

irrational

Step-by-step explanation:

\sqrt{(13)/(16) } =\sqrt{(13)/(4^(2) ) } =(√(13) )/(4)

but

√(13)

is irrational so all the expression is irrational

Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year, where x is the growth factor. (The interest rate r is x - 1.) What is the interest rate he needs to start the third year with $1600 in savings? A. 0.1% B. 1.1% C. 8.4% D. 264%

Answers

c. is the correct answer

2^2 x 3^3 x 4^5/ 2 x 3 x 4^5
Please explain

Answers

Answer:

18

Step-by-step explanation:

Hi there !

2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =

simplify 2 ; 3 ; 4⁵

= 2ₓ3²/1

= 2ₓ9

= 18

Good luck !
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