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antiseptic1488 [7]
2 years ago
14

Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

A

Step-by-step explanation:

18 + 12 = 30

A: 6 (3 + 2) = 30

Simplified 6*5 = 30

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There are 45 animals at the pet store. 12% are dogs, 24% are cats, 36% are fish, and 28% are other animals. Find the number of a
vivado [14]

Step-by-step explanation:

Dogs: 12% of 45= 5.4

Cats: 24% of 45= 10.8

Fish: 36% of 45= 16.2

Other: 28% of 45= 12.6

8 0
3 years ago
How do i solve this equation<br> -4p+9=-5
gregori [183]

Answer:

p = 7/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-4p + 9 = -5

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Subtract 9 on both sides:                     -4p = -14
  2. Divide -4 on both sides:                       p = 7/2

<u>Step 3: Check</u>

<em>Plug in p into the original equation to verify it's a solution.</em>

  1. Substitute in <em>p</em>:                    -4(7/2) + 9 = -5
  2. Multiply:                               -14 + 9 = -5
  3. Add:                                     -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

5 0
3 years ago
Read 2 more answers
A car is purchased for $27,500. After each year, the resale value decreases by 35%. What will the resale value be after 5 years?
e-lub [12.9K]

Answer:

$3,190.80

Step-by-step explanation:

yr 1:

27500 x .35 = 9625

27500 - 9625 = 17875

yr 2:

17875 x .35 = 6256.25

17875 - 6256.25 = 11618.75

yr 3:

11618.75 x .35 = 4066.5625

11618.75 - 4066.5625 = 7552.1875

yr 4:

7552.1875 x .35 = 2643.265625

7552.1875 - 2643.265625 = 4908.921875

yr 5:

4908.921875 x .35 = 1718.12265625

4908.921875 - 1718.12265625 = 3190.79921875

6 0
3 years ago
Read 2 more answers
Q 4.6: In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 3
Liono4ka [1.6K]

Answer:

<h2>Option E is correct.</h2>

Step-by-step explanation:

In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 330 prefer to watch news on TV, and 130 are rarely interested in the current news. We want to test if the proportion of people getting the news from the Internet is more than 50%. By generating the randomization distribution, we find that the p-value is 0.0057. Choose the correct statement interpreting the p-value.

A.If the proportion of people getting the news from the Internet is not equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

B. If the proportion of people getting the news from the Internet is not equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

C. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion less extreme compared to the survey results. р

D. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

E. If the proportion of people getting the news from the Internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

The correct interpretation of P value will be:

if the proportion of people getting the news from internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as survey results.

<h2>Option E is correct.</h2>
4 0
3 years ago
The proof diagram to complete the question state the missing reason in the proof for the letter given
melisa1 [442]

ANSWER

First proved that line p is parallel to line r

to proof

As given in the question

∠1 ≈∠5

∠1 and ∠5 are corresponding angles

by using the property of the corresponding angles

 two lines are cut by a transversal so that the corresponding angles are


congruent, then these lines are parallel.


As shown in diagram q is transversal line.

Thus by using the above property

line p is parallel to line r.

proof of 1(a)

REASON

Vertically opposite angle

The pair of angles formed when two lines intersect each other are called vertically opposite angles.

Thus

∠4 and ∠1 are vertically opposite angle

thus

∠4 ≈∠ 1

proof of 2(b)

REASON

Alternate interior angle

the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

as line p is parallel to line r (proof above)

q is transversal

thus

∠4 ≈∠ 5

Hence proved

proof of 3 (c)

As ∠4 ≈∠5 (proof above)  

REASON

If two lines are cut by a transversal so that the alternate interior angles

are congruent, then these lines are parallel.

Thus by above property

line p is parallel to line r

Hence proved







4 0
3 years ago
Read 2 more answers
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