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Fynjy0 [20]
2 years ago
14

Stuck on this question: Solve 6(2y-3)-10=2y

Mathematics
2 answers:
Dmitrij [34]2 years ago
8 0

Answer:

Exact form: y = \frac{14}{5}

Decimal form: y = 2.8

Step-by-step explanation:

Distribute:

6(2y - 3) - 10 = 2y

12y - 18 - 10 = 2y

Subtract the numbers:

12y - 18 - 10 = 2y

12y - 28 = 2y

Add 28 to both sides:

12y - 28 = 2y

12y - 28 + 28 = 2y + 28

Simplify:

Add the numbers

12y = 2y + 28

Subtract 2y from both sides:

12y = 2y + 28

12y - 2y = 2y + 28 - 2y

Simplify:

Combine like terms

10y = 28

Divide both sides by the same factor:

10y = 28

10y/10 = 28/10

Simplify:

Cancel terms that are in both the numerator and denominator

Divide the numbers

y = 14/5

shtirl [24]2 years ago
6 0
Y= 2 4/5 or 2.8 in decimal form
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Provide an appropriate response. A local bank needs information concerning the checking account balances of its customers. A ran
choli [55]

Answer:

[$489.83, $883.67]

Step-by-step explanation:

The 98% confidence interval is given by the interval

\bf  [\bar x-t\frac{s}{\sqrt n}, \bar x+t\frac{s}{\sqrt n}]

where

\bf  \bar x=686.75 is the sample mean  

s = 256.20 is the sample standard deviation  

n = 15 is the sample size

t is the 2% critical value for the Student's t-distribution with 14 degrees of freedom (sample size -1), this is a value such that the area under the Student's t curve outside the interval [-t, t] is 2%=0.02.

We are using the t-distribution for it is the approximation to the Normal distribution for small samples (n<30).

Either by using a table or the computer, we find  

t = 2.9768

In Excel we use the function

<em>TINV(0.01,14) </em>

In OpenOffice Calc

<em>TINV(0.01;14) </em>

and our 98% confidence interval is

\bf  [686.75-2.9768*\frac{256.20}{\sqrt{15}}, 686.75+2.9768*\frac{256.20}{\sqrt{15}}]=\boxed{[\$489.83,\$883.67]}

8 0
3 years ago
Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 25 birds. How many more robins did she t
andrew-mc [135]
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers.  The exact number she reported is not
possible.  To see why, I'll do it strictly by the math:

Robins  =  5 times
Cardinals  =  1 time

Total birds  =  6 times 

6 times  =  25 birds

Divide each side by 6 :   1 time  =  25/6  =  4-1/6 birds

Robins =  5 times  =  20-5/6 of them
Cardinals  =  1 time  =  4-1/6 of them

Total:  (20-5/6) + (4-1/6)  =  25 birds.

How many more robins than cardinals  = (20-5/6) - (4-1/6) = 16-2/3 more. 

The math works out fine.  But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that.  Eeeew.   I don't want to talk about it.
7 0
3 years ago
Read 2 more answers
If x=6 and y=−4, evaluate the following expression:10−4xy​
Lana71 [14]

Answer:

10-(4×6×-4)

10+96

=106

Step-by-step explanation:

hope it helps

5 0
2 years ago
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I'm confused can someone please help me out?​
Anika [276]

Answer:

0.4375

Step-by-step explanation:

if F=ma that to find the acceleration then use the formula a = F/m which gives you 0.4375

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6 0
3 years ago
Which ordered pair is a solution to the equation? y=x3/4
Leni [432]

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

6 0
3 years ago
Read 2 more answers
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