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shusha [124]
3 years ago
12

Solve for x. 3x - 161 7x - 382

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

55.25 = x

Step-by-step explanation:

3x - 161 = 7x - 382

Balance method:

7x- 3x = -161 + 382

4x = 221

Divide to find x:

221/4 = x

55.25 = x

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Danielle worked three days last week for a total of 18.25 hours. She worked 6.5 hours on Monday and 5.75 hours on Wednesday. How
svet-max [94.6K]

Answer:

She worked for 6 hours on Saturday.

Step-by-step explanation:

Number of hours worked by Danielle last week = 18.25 hours

She worked for three days, Monday, Wednesday and Saturday.

Let she worked on Saturday = x hours

Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x

And the equation will be,

6.5 + 5.75 + x = 18.25

12.25 + x = 18.25

x = 18.25 - 12.25

x = 6

Therefore, she worked for 6 hours on Saturday.

7 0
3 years ago
Which is a simplified form of the following expression? 6c^2+2.5d - d + 2c^2-3d
melisa1 [442]
By collecting like terms we have:

6 {c}^{2}  + 2 {c}^{2}  + 2.5d - d  - 3d \\  \\ 8 {c}^{2}  - 1.5d
3 0
3 years ago
the perimeter of a rectangle is 4 inches. the ratio of the width to the length is 3:5, as shown. find the width and the length o
notka56 [123]
4.8 is the answer hahehehehehehe sorry jus needs to be this many characters long
3 0
3 years ago
to avoid a large shallow reef a ship set a course from point a and traveled 24 miles east to point b . the ship them turn and tr
Sever21 [200]
First, we are going to find the distance traveled by the ship adding the tow distances:
Distance traveled= 24 mi +33 mi=57 mi

Next, we are going to use the Pythagorean theorem to find the distance from a to c:
d^2=24^2+33^2
d^2=576+1089
d^2=1665
d= \sqrt{1665}
d=40.8 mi

Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi

We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.</span>

7 0
4 years ago
How would I simplify this?<br> 8/13 ln 3 = ln h/12
Greeley [361]

Answer:

Step-by-step explanation:

I'll assume that you meant

(8/13) ln 3 = ln h/12

Applying rules of logs, we get:

(8/13) ln 3 = ln h - ln 12

                = ln h - ln 3 - ln 4         <=  because ln b*c = ln b + ln c

Then (8/13) ln 3 + ln 3 = ln h - ln 4, or

(21/13) ln 3 + ln 4 = ln h  

3^(21/13) * 4 = h                 <=  because ln b*c = ln b + ln c

8 0
3 years ago
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