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3 years ago

16x+9=8x+46 can someone help?

Mathematics

2 answers:

Andre45 [30]3 years ago

4 0

Answer:

37/8

Step-by-step explanation:

Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8

Elenna [48]3 years ago

3 0

Answer:

x=4.625

Step-by-step explanation:

16x+9=8x+46

-8x

8x+9=46

-9

8x=37

x=4.625

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A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night

mario62 [17]

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by <em>proportions</em>, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The <em>rule of three</em> is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1672x = 1540 \times 1330$

$x = \frac{1540 \times 1330}{1672}$

$x = 1225$

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at brainly.com/question/24372153

8 0

3 years ago

Solve absolute value equations and show work step by step please due tomorrow

Sergio039 [100]

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15) n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2 (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2

Hence, the solution is n = 0 or -2 (Answer)

4 0

4 years ago

Grant paid 12 dollars for 4 baseball card packs. how many baseball card packs can he purchase of 21 dollars

timofeeve [1]

So, firstly, in order for us to know how much is each baseball card pack, we divide 12 dollars by 4 and we get 3. Therefore, each baseball card pack costs $3. So for 21 dollars, he can purchase 7 baseball card packs. 21 divided by 3 is 7. Hope this answers your question. Have a great day!

3 0

3 years ago

2 HC)A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured a liter 0.35 liters of cranberry juice i

Alika [10]

Answer:

(0.65 + 0.40+ 0.35) - 0.10

Step-by-step explanation:

hope it helps!

5 0

3 years ago

ASAP NO LINKS EXPLANATION PLEASE a boat traveled 400 miles in 8 hours find its rate of speed in miles per hours

Vladimir79 [104]

Answer:

50 miles per hours

Step-by-step explanation:

400 miles per 8 hours is the same as

200 miles for 4 hours which is the same as

100 miles for 2 hours which is still the same as

50 miles per hour

I just divided each one by two until I reached the unit rate

5 0

3 years ago

Read 2 more answers