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VikaD [51]
3 years ago
13

How many solutions will the following system of linear equations have?

Mathematics
1 answer:
devlian [24]3 years ago
8 0
For the answer to the question above, 
2x + 4y = –7 (1)
y = -1/2x + 5 (2)
Putting (2) into (1), we have:
-2x + 4(-1/2x + 5) = -7
-2x - 2x + 5 = -7
-4x = -7 - 5 = -12
x = -12/-4 = 3
y = -1/2(3) + 5 = -3/2 + 5 = 7/2
Therefore there is only one solution
I hoipe my answer helped you. Feel free to ask more questions. Have a nice day!
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3 years ago
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Maria runs 7 miles in 80 minutes. at the same rate, how many miles would she run in 64 minutes​
Alex777 [14]

Answer:

5.6 miles

Step-by-step explanation:

Firstly, we need to find the unit rate (the number of miles in 1 minutes).

To get this, we need to divide total miles ran (7 miles) by the total minutes taken (80 minutes). Thus, we will have MILES PER MINUTE.

7 miles ÷ 80 minutes = 7/80 miles per minute

Now,

We want number of miles in 64 minutes. Since we know "PER MINUTE", we simply multiply that with 64 to get number of miles in that amount of time.

THus,

\frac{7}{80}*64=\frac{56}{10}=5.6

So, in 64 minutes, Maria can run 5.6 miles

6 0
3 years ago
Danielle wants to know if a new dresser will fit next to her bed. The dresser she would like to buy is 73 centimeters wide. She
zhannawk [14.2K]

Answer:

No.

The dresser's width(28.74in) is greater than the remaining free width(10in) in the room.

Step-by-step explanation:

First, convert the chest width into inches,73cm=28.74 \ in

To find the excess width after fitting the bed in her room, we subtract the bed width from the room's width:

Width_R=86 \ in\\Width_B=76 \ in\\\\Width_{excess}=Width_R-Width_B\\\\=86\ in -76\ in\\\\=10\ in

Since 10in is less than 28.74in, the dresser will not fit next to her bed.

5 0
3 years ago
Solve for x. (30/x) = 4/6
andre [41]
X=30×6/4
x=45.
hope it helps
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3 years ago
What can you conclude about the tangent lines and the diameter of a circle?
svetlana [45]

Answer:

B. perpendicular Hope this helps!

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3 years ago
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