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emmainna [20.7K]
3 years ago
6

What values of x make 3 - 4x > 17 true?

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer: x < -3.5

Step-by-step explanation:

Subtract 3 from both sides and we get

-4x > 14

We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.

x < -3.5

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4/12 simplified will be 1/3
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3 years ago
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Show that 5 2/3 - 3 4/5 = 1 13/15
topjm [15]

Answer:

True both are 28/15

Step-by-step explanation:

Simplify the following:

5 + 2/3 - (3 + 4/5)

Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:

5 + 2/3 - (5×3)/5 + 4/5

5×3 = 15:

5 + 2/3 - (15/5 + 4/5)

15/5 + 4/5 = (15 + 4)/5:

5 + 2/3 - (15 + 4)/5

15 + 4 = 19:

5 + 2/3 - 19/5

Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:

(15×5)/15 + (5×2)/15 + (3 (-19))/15

15×5 = 75:

75/15 + (5×2)/15 + (3 (-19))/15

5×2 = 10:

75/15 + 10/15 + (3 (-19))/15

3 (-19) = -57:

75/15 + 10/15 + (-57)/15

75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:

(75 + 10 - 57)/15

| 7 | 5

+ | 1 | 0

| 8 | 5:

(85 - 57)/15

| 7 | 15

| 8 | 5

- | 5 | 7

| 2 | 8:

Answer: 28/15

______________________________________

Simplify the following:

1 + 13/15

Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:

15/15 + 13/15

15/15 + 13/15 = (15 + 13)/15:

(15 + 13)/15

| 1 | 5

+ | 1 | 3

| 2 | 8:

Answer: 28/15

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How to find an decimal out of percentage
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7 0
3 years ago
The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg
viktelen [127]

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

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Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

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3 years ago
Use each table to find the requested ratio.
RoseWind [281]

Answer:

Step-by-step explanation:

1:4

1:2

5:1

7 0
2 years ago
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