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timama [110]
2 years ago
8

Solve the proportion for the variable 6/y= 9/33

Mathematics
2 answers:
cupoosta [38]2 years ago
4 0

\bold{Hey\ there!}

  • \bold{\frac{6}{y}=\frac{9}{33}}
  • \bold{First, you\ have \ to \ 'cross \ multiply'}
  • \bold{Like\rightarrow 6\times33=9\times y}
  • \bold{6\times33=198}
  • \bold{9\times y=9y}
  • \bold{Your\ problem\ becomes: 9y=198}
  • \bold{Next, we\ have\ to \ DIVIDE\ by\ 9\ on\ each\ of \ your\ sides!}
  • \bold{Like\rightarrow \frac{9y}{9}=\frac{198}{9}}
  • \bold{Cancel\ out:\frac{9y}{9}\ because\ it \ equals\ 1}
  • \bold{Keep:\frac{198}{9}\ because\ it\ gives\ us\ the \ answer}
  • \boxed{\boxed{\bold{Answer:y=22}}}\checkmark

\bold{Good \ luck \ on \ your \ assignment \&}  \bold{enjoy\ your \ day!}

\frak{LoveYourselfFirst:)}

NeX [460]2 years ago
3 0

Answer: y=22

Step-by-step explanation:

1. Multiply by <em>y</em> both sides of the equation, as following:

\frac{6y}{y}=\frac{9y}{33}\\\\6=\frac{9y}{33}

2. Now you must multiply by 33 both sides of the equation, as following:

6*33=\frac{9y}{33}*33\\198=9y

3. Now you must divide both sides of the equation by 9. Therefore, you obtain:

\frac{198}{9}=\frac{9y}{9}\\y=22

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Ivan and Tanya share £150 in the ratio 4:1 how much more Ivan has then tanya
Alexeev081 [22]

Hey!

--------------------------------------------------------

Solution:

Ratio is 4/1

Add.

4 + 1 = 5

Divide.

150 / 5 = 30

Multiply for Ivan.

30 x 4 = 120

30 x 1 = 30

Check.

120 + 30 = 150

Subtract.

120 - 30 = 90

--------------------------------------------------------

Answer:

Ivan has £90 more than Tanya has!

--------------------------------------------------------

Hope This Helped! Good Luck!

3 0
2 years ago
Read 2 more answers
Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how
DerKrebs [107]

Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

7 0
2 years ago
To increase an amount by 7% what single multiplier would you use?
vazorg [7]
You would multiply by 1.7
8 0
2 years ago
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Drew burned 1,800 calories Friday playing 1 hour of basketball and canoeing for 2 hours. On Saturday, he spent 2 hours playing b
V125BC [204]

Answer:

He burnt 1000 calories per hour when playing basketball.

Step-by-step explanation:

Let B be calories burned playing basketball, and C calories burned canoing.

1800 = B + 2C

3200 = 2B + 3C

From 1st equatipn, we get that B = 1800 - 2C

Replacing into the 2nd equation, we have:

3200 = 2(1800-2C) + 3C

3200 = 3600 - 4C + 3C

3200 = 3600 - 1C

C = 3600 - 3200

C = 400

Knowing C, we find B.

B = 1800 - 2C = 1800 - 2*400 = 1800 - 800 = 1000 calories.

6 0
2 years ago
Read 2 more answers
a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
2 years ago
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