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AfilCa [17]
2 years ago
8

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer:

6

Step-by-step explanation:

4n - 12 < 2n + 2 is for n=6

4×6 -12 < 2×6 +2

24 - 12 < 12 + 2

12 < 14 correct

for n=7

4×7 - 12 < 2×7 + 2

16 < 16 incorrect

for n=8

4×8 - 12 < 2×8 + 2

20 < 18 incorrect

for n=9

4×9 - 12 < 2×9 + 2

24 < 20 incorrect

so, only for n=6 is the expression true.

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Each serving for a box of trail mix is 3/8 of a cup.
Andrew [12]

Answer:

It's 4

Step-by-step explanation:

It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.

1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)

3 0
3 years ago
H(a)=-2a + 3<br> g(a)= 2a + 1<br> Find h(a) + g(a)
krok68 [10]

Answer:

4

Step-by-step explanation:

-2a + 3 + 2a + 1

4

4 0
3 years ago
Read 2 more answers
If log 2^x = log 3, then which is the value of x?
natulia [17]

There's a property of logs I want you to remember, that is:

log(a)ᵇ = b*log(a)

We'll be using this property to solve the question

<u>Finding x:</u>

log(2)ˣ = log(3)

x*log(2) = log(3)                                     [using the property mentioned above]

x = log(3) / log(2)                                 [dividing both sides by log(2)]

Hence, the correct answer is option E.

8 0
3 years ago
Ms.Kork sold her car for $8,700. This was $100 more than two fifths of what she had paid for the car originally. How much had Ms
Eva8 [605]

Answer: 21500

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.
raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9      

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

                   x = 24

So the larger fraction will become: x/y =24/7      

  • Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

3 0
3 years ago
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