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3 years ago

5 / 3 x + 1 / 3x equals 13 + 1 / 3 x + 8 / 3 x

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

8 0

Answer: x = - 12/9 ( the equation is negative)

Step-by-step explanation:

\frac{5}{3}x+\frac{1}{3}=13+\frac{1}{3}x+\frac{8}{3}x

\frac{5}{3}x=3x+\frac{38}{3}

\frac{5}{3}x-3x=3x+\frac{38}{3}-3x

-\frac{4}{3}x=\frac{38}{3}

3\left(-\frac{4}{3}x\right)=\frac{38\cdot \:3}{3}

-4x=38

\frac{-4x}{-4}=\frac{38}{-4}

x=-\frac{19}{2}

Lady_Fox [76]3 years ago

6 0

Answer:

The answer is x = 12/9

Step-by-step explanation:

You might be interested in

Which point satisfies the system of equations y= 3x - 2 and y=-2x + 3?

monitta

Answer:

The points which satisfy the given lines is ( 1 , 1 )

Step-by-step explanation:

Given as :

The equation of lines is

y = 3 x - 2 ........ 1 And

y = - 2 x + 3 ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or, 5 x = 5

So , x = $\frac{5}{5}$ = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴, the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 ) Answer

5 0

3 years ago

Drag the tiles to list the sides of △MNO from shortest to longest.

sweet [91]

The smaller the angle subtended by a side, the smaller the length of the

side.

The correct responses are;

Question 1: The list of sides from shortest to longest are;

MO/Shortest MO/Medium and MO/Longest

a) Friday

b) 70 minutes

c) 40%

d) Yes, the sum of the mean number of minutes spent on aerobic training and the mean number of minutes spent on strength training is equal to the mean total number of minutes spent training.

From the given diagram, we have, the measure of the third angle, ∠O, is

found as follows;

∠O = 180° - 54° - 61° = 65°

Therefore, ∠O = The largest angle

We get;

The longest side is opposite the largest angle, which gives;

The shortest side is the side opposite ∠N (54°)= $\frac{}{MO}$

The next shortest side is the side opposite ∠M(61°) = $\frac{}{NO}$

The longest side is the side opposite ∠O(65°) = $\frac{}{MN}$

a) The time spent training on Tuesday = 60 + 10 = 70 minutes

The time spent training on Thursday = 50 + 30 = 80 minutes

The time spent training on Friday = 45 + 40 = 85 minutes

Therefore, the day the athlete spent the longest total amount of time training is on Friday

b) The time spent training on Monday = 10 + 20 = 30 minutes

The time spent training on Wednesday = 20 + 15 = 35 minutes

Therefore, we get;

30, 35, 70, 80, and 85

The median total number of minutes the athlete spent training each day = 70 minutes

c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120

The total number of minutes the athlete spent training = 70 + 80 + 85 + 30 + 35 = 300

$The$ $percentage$ $spent$ $on$ $strength$ $training$ = $\frac{120}{300}$ × $100 =$ $\frac{40}$ %

d) The mean number of minutes spent on strength training is found as follows;

$Mean_{strength} =\frac{120}{5} =24$

The mean number of minutes spent on aerobic training is found as follows;

$Mean_{aerobic} =\frac{10+60+20+50+40}{5} =36$

$Mean_{strength} +Mean_{aerobic} =24+36=60$

The mean total number of minutes spent training, $Mean_{total}$ = $\frac{300}{5}$ = 60

Therefore;

$Mean_{strength}+Mean_{aerobic} = Mean_{total} \\$

Learn more here:

brainly.com/question/2962546

4 0

2 years ago

A problem on a multiple-choice quiz is answered correctly with probability 0.9 if a student is prepared. An unprepared student g

lions [1.4K]

Answer:

0.08475

Step-by-step explanation:

The question above is a application of conditional probability.

The formula to use is Baye's Theorem for conditional probability.

From the above question we have the following information:

Probability of answering correctly when prepared = 0.9

Probability of not answering correctly when prepared = 1 - 0.9 = 0.1

Probability of choosing the right answer = 1/4 = 0.25

Probability of choosing the wrong answer = 1 - 0.25 = 0.75

Number of students that prepare for the quiz = 75% = 0.75

Therefore number of students that did not prepare for the quiz = 1 - 0.75

= 0.25

Hence,

The probability of not preparing but choosing the correct answer =

P[ not prepared | correct answer ]

Is calculated as :

P[ not prepared | correct answer ] =

(0.25 × 0.25)/(0.25 × 0.25) + (0.25 × 0.9)

= 0.08475

Therefore, the chance that Mr X did not prepare for the quiz but he gives the right answer = 0.08475

3 0

3 years ago

Classify the variable z in z square = 0.02 as rational or irrational

DochEvi [55]

Answer:

Irrational

Step-by-step explanation:

When we take the square root of both sides, we get z = 0.141421... and since there are no fractions and the decimals go endlessly on, it is irrational.

3 0

3 years ago

The area of a triangle with a base of 20 cm and height of 30 cm is ____?

Rina8888 [55]

Answer:

300cm square

base (b)=20cm

height (h)=30cm

now,

area=1\2*b*h

=1\2*20*30

=300cm square

4 0

2 years ago

Read 2 more answers