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Marina CMI [18]
4 years ago
13

Solve for y: 2(3y-4)=3(y-2/3)

Mathematics
1 answer:
Ede4ka [16]4 years ago
7 0
<span>2*(3*y-4) = 3*(y-(2/3)) // - 3*(y-(2/3))

2*(3*y-4)-(3*(y-(2/3))) = 0

2*(3*y-4)-3*(y-2/3) = 0

2*(3*y-4)-3*(y-2/3) = 0

3*y-6 = 0

3*y-6 = 0

3*y-6 = 0 // + 6

3*y = 6 // : 3

y = 6/3

y = 2

y = 2
</span>
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At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55
gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

a+o=11 ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

0.8a+0.95o=9.55 ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

0.8(a+o)=0.8\times11

0.8a+0.8o=8.8 ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75

Dividing both side by 0.15 we get;

\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5

Substituting the value of o in equation 1 we get;

a+o=11\\\\a+5=11\\\\a=11-5=6

Hence Harry buys 6 apples and 5 oranges at the store.

3 0
4 years ago
The data manager for a state political party gathered data to determine how many citizens would support the party's senate candi
Mama L [17]

Answer:

The approximate 90% confidence interval is;

70,244 to 70,732

Step-by-step explanation:

Here, we want to calculate the approximate 90% C.I for the situation

Mathematically;

CI = mean ± (z * SD)/√n

From the question;

mean = 70,438

SD = 645.3

n = 30

we can get z from the CI table

90% CI is same as; 1.645 z-score

So , substituting these values;

CI = 70,438 ± ( 1.645 * 645.3)/√30

CI = 70,438 ± 194

So the CI = 70,438 -194 to 70,438 + 194

= 70,244 to 70,732

8 0
3 years ago
Read 2 more answers
Can someone help thanks.
Vitek1552 [10]

Answer:

1/144

Step-by-step explanation: I presume..

And recall something from Algebra...

I hope it helps...

Square it

And reverse it because of the negative

It is a fraction

7 0
3 years ago
Read 2 more answers
In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have
Leni [432]

Class distribution is considered to be normal using normal approximation to binomial.

A frequency distribution is a table that shows classes or intervals of data with a count of the number in each class.

Given :

In a city with a population of 1 million

i.e Population size (N) = 1 million = 1000000

From which 500 people have been diagnosed with cancer

Let X : No. of people  have been diagnosed with cancer

X = 500

Population proportion (p) :

p = XNp =5001000000p = 0.0005

So , the proportion of people who do not have cancer (q)=1-p

                                                                                               =1-0.0005

                                                                                               =0.9995

Here the distribution of X is Binomial

Such that :

i. No. of trials are fixed

ii. Probability of success is constant (p=0.0005)

iii. Possible outcomes are two (having cancer or not)

Here we can use normal approximation to Binomial

Because N is very large

So  class distribution is considered to be normal using normal approximation to binomial.

To learn more, visit:

brainly.com/question/9325204

#SPJ4

5 0
2 years ago
How many triangles can be formed with segments measuring 6 1/4 in., 10 5/8 in., and 4 1/3 in.?
dsp73

Answer:

One triangle can be constructed

Step-by-step explanation:

I took the test hope this helps

6 0
2 years ago
Read 2 more answers
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