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Liono4ka [1.6K]
3 years ago
8

Complete the equation to show how many twelfths are equivalent to 5/6

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

  • 10

Step-by-step explanation:

<u>Let the required number be x, then we have the following equation:</u>

  • 1/12x = 5/6
  • 1/12x = 10/12
  • 1/12x = 1/12*10
  • x = 10
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-11 2/3 x (-4 1/5)=?
qaws [65]

Answer:

49

Step-by-step explanation:

(-11\frac{2}{3} )  * (-4\frac{1}{5} ) = (-\frac{35}{3} )(-\frac{21}{5})

(-\frac{35}{3} )(-\frac{21}{5})=\frac{735}{15}

\frac{735}{15}=49

6 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher
Mars2501 [29]

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    {}   h(x)

0    {}   330

5    {}   275

10    {}  220

15    {}  165

20    {}  110

25    {}  55

30    {}   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0
2 years ago
Read 2 more answers
Which expression is 5 times as large as the expression 345+23
natima [27]

Answer:

1840

Step-by-step explanation:

345+23=368*5

3 0
2 years ago
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I need help with my little brothers homework?
erik [133]
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.

7 0
3 years ago
Read 2 more answers
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how
NARA [144]

Answer:

The number of teenagers in the stratified sample of equal proportion is 30 teenagers

Step-by-step explanation:

Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups

Group 1: Female adult

Group 2: Male adult

Group 3: Teenage boys

Group 4: Teenage girls

In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population

Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;

Number of groups identified = 4

Sample size = 30

Appropriate proportion of each group = 1/4

Number of teenage boys in the sample = 1/4×30 = 15

Number of teenage girls in the sample = 1/4×30 = 15

Total number of teenagers in the sample = 15 + 15 = 30 teenagers.

5 0
3 years ago
Read 2 more answers
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