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Wittaler [7]
3 years ago
14

Distributive Property Using GCF 25 + 30

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Hey there! I'm happy to help!

Let's look at the factors of each of these numbers.

25

1,25

5,5

30

1,30

2,15

3,10

5,6

The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.

5(5+6).

This has the same value but it is just written differently.

Have a wonderful day! :D

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Solve the following system of equations:
Stella [2.4K]

Answer:

(1, 3) is the answer! hope this helps

3 0
3 years ago
when Best Buy sells a Samsung 32" flat screen television for $219.99, does the 32" represent the length, width, or diagonal of t
Varvara68 [4.7K]

Answer:

Diagonal

Step-by-step explanation:

The measure of a television is always indicated by providing the length of the diagonal, in inches.

In fact, the actual length and height of a 32" tv are:

- Length:

L = 27.9 inches

- Height:

h = 15.7 inches

For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:

d=\sqrt{L^2+h^2}

where

L is the length of the rectangle

h is the height of the rectangle

Substituting the values above, we find:

d=\sqrt{(27.9)^2+(15.7)^2}=32.0 in.

Which corresponds to the diagonal of the TV.

6 0
4 years ago
Last question on the first Khan assignment!
nikklg [1K]

Answer:

x=6

Step-by-step explanation:

(×+54)+5×=90

6×+54=90

90-54

6×=36

×=6

8 0
2 years ago
In a survey of 706 parents with kids 4 to 8 years old. 346 say that they know their state booster seat law. Construct a 90% conf
Llana [10]

Answer:

(0.46, 0.52)

Step-by-step explanation:

The formula for Confidence Interval with Proportion

CI = p ± z × √p(1 - p)/n

Where

p = Proportion = x/n

x = 346

n = 706

p = 346/706

p = 0.49

z = z score of Confidence Interval 90% = 1.645

Therefore:

CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706

CI = 0.49 ± 1.645 × √0.49 × 0.51/706

CI = 0.49 ± 1.645 × 0.0188139843

CI = 0.49 ± 0.0309490042

Hence:

Confidence Interval is

0.49 - 0.0309490042

= 0.4590509958

≈ 0.46

0.49 + 0.0309490042

= 0.5209490042

≈ 0.52

Therefore , the confidence interval of the population proportion is

(0.46, 0.52)

4 0
3 years ago
Tabitha earns $8.50 per hour at her summer job. She wants to save money to buy a tablet that costs $289 plus 6% sales tax. Tabit
Arturiano [62]

Answer:

The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is 75+8.5x\geq 306.34.

Tabitha needs to work at least 28 hours to buy the tablet.

Step-by-step explanation:

Amount earn per hour = $8.50

Amount already saved = $75

Cost of tablet = $289

Sales tax = 6%

We to write and solve the inequality number of hours Tabitha will need to work to have enough money to buy the tablet.

Solution:

Let the number of hours she need to work be 'x'.

First we will find the total amount required to buy tablet.

Amount of sales tax = \frac{6}{100}\times289 = \$17.34

Now Total cost to buy tablet will be equal to sum of Cost of tablet and Amount of sales tax.

framing in equation form we get;

Total cost to buy tablet = 289+17.34 = \$306.34

Now we can say that;

Amount already saved plus Amount earn per hour multiplied by Amount earn per hour should be greater than or equal to Total cost to buy tablet.

framing in equation form we get;

75+8.5x\geq 306.34

hence The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is 75+8.5x\geq 306.34.

On solving the above Inequality we get;

First we will subtract both side by 75 we get;

75+8.5x-75\geq 306.34-75\\\\8.5x\geq 231.34

Dividing both side by 8.5 we get;

\frac{8.5x}{8.5}\geq \frac{231.34}{8.5}\\\\x\geq 27.21

Hence Tabitha needs to work at least 28 hours to buy the tablet.

5 0
3 years ago
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