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Maru [420]
3 years ago
10

When solving negative -1/3.(x − 15) = −4, what is the correct sequence of operations

Mathematics
2 answers:
rodikova [14]3 years ago
6 0
Distribute through the parenthesis
subtract 5 from both sides
divide both sides by -1/3...or multiply both sides by -3
love history [14]3 years ago
6 0
1) Distribute -1/3 through the parenthesis, it will look like this:
-1/3(x) - 15(-1/3) = -4

Simplify: -1/3x + 5 = -4

Multiply each term by 3 to eliminate the fraction: 3(-1/3x + 5 = -4)
Equals: -x + 15 = -12

Subtract 15 from both sides -x + 15 =-12
                                                 - 15    -15

Equals -x = -27
FINALLY multiply or divide by -1 to eliminate the negative "x"
(Basically changing the signs of all terms.)
x = 27.
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The number of students in Mrs. Patrick's piano class decreased by 15% in 2 years to 17 students. How many students did she have
guapka [62]

Answer:

20 students

Step-by-step explanation:

If the class decreased by 15%, the students that she has now (17) represents a percentaje of:

100% - 15% = 85%

so<u> the 17 students are 85% of what she had</u>:

Students         Percentage

      17          ⇒        85%

and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:

Students         Percentage

      17          ⇒        85%

      x          ⇒        100%

and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):

x = 17*100/85

x = 1700/85

x=20

2 years ago she had 20 students

6 0
3 years ago
Select all possible values for x that solve the equation x^2=800
Gemiola [76]

x^2 = 800. Take the square root of each side.

x = √(800) and -√(800)

6 0
3 years ago
Which inequality best represents the situation in which you must be at least 42 inches tall to ride the roller coaster
Romashka-Z-Leto [24]
42  \leq x

6 0
3 years ago
Choose the equation that satisfies the data in the table.
Zanzabum

Answer:

B. y = \frac{2}{15} X + 2

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = \frac{2}{15}(15) + 2

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = \frac{2}{15}(0) + 2

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = \frac{2}{15}(-15) + 2

         0 = -2 + 2

        0 = 0 true

Good luck.

6 0
3 years ago
The ratio of the side lengths of a quadrilateral is 3:2:6:7, and its perimeter is 126 meters. What is the length of the shortest
scoundrel [369]

since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.


\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49

7 0
3 years ago
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