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xxTIMURxx [149]
3 years ago
5

Solve the system of equations. 3x+5y=9 3x+2y=3

Mathematics
1 answer:
Rasek [7]3 years ago
3 0
Eliminate
multiply 2nd equtaon by -1 and add to first

3x+5y=9
<u>-3x-2y=-3 +</u>
0x+3y=6

3y=6
divide by 3
y=2

sub back

3x+2y=3
3x+2(2)=3
3x+4=3
minus 4 both sides
3x=-1
divide by 3
x=-1/3

(x,y)
(-1/3,2)
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The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 60 cm. Find the width of the rectangle. HINT: Dr
klemol [59]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2L +2W

L is the length

W is the width

If the length of a rectangle is 2 cm less than 7 times the width, then;

L = 7W-2 .... 2

Substitute eqn into the formula for finding the perimeter

P = 2(7W-2)+2W

P = 14W-4+2W

P = 16W-4

If P =60cm

60 = 16W-4

16W = 60+4

16W = 64

W = 64/16

W = 4cm

Hence the width of the rectangle is 4cm

Since l = 7w-

l = 7(4)-2

L = 28-2

L = 26cm

You can proceed and draw a rectangle with the dimension of 4cm by 26cm

3 0
3 years ago
If NO =17 and NP= 5x-6, find they value of x. Then find NP and OP
CaHeK987 [17]

<em>Greetings from Brasil...</em>

We notice 2 dashes on the NO and NP line. This means that both are the same size. Since NO = 17 then OP is also 17 in length.

So

NP = NO + OP

NP = 17 + 17

NP = 34

As already said

NP = 5X - 6 = 34

5X - 6 = 34

<h2>X = 8</h2>

6 0
3 years ago
Need help with math probelm if do 5 stars
slamgirl [31]

Answer:

b) -9.25

Step-by-step explanation:

-1/4 = -0.25

-9 + -0.25 = -9.25

-10, -9.75, -9.5, -9.25, -9, -8.75, -8.5, -8.25, -8, -7.75, -7.5, -7.25, -7

Hope this helps!

4 0
2 years ago
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16x^7 - 8x^3 / 4x^3
Sunny_sXe [5.5K]

Answer:

4x^4-2

Step-by-step explanation:

\dfrac{16x^7-8x^3}{4x^3}= \\\\\\\dfrac{4x^3(4x^4-2)}{4x^3}= \\\\\\4x^4-2

Hope this helps!

8 0
3 years ago
Read 2 more answers
Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?
Ilia_Sergeevich [38]

Based on the information given Terri's Run Rate is $96,000.

<h3>Run rate</h3>

Using this formula

Run rate=Revenue for the Period × Number of months in a year

Where:

Revenue for the Period =$8,000

Number of months in a year=12 months

Let plug in the formula

Run rate=$8,000×12 months

Run rate=$96,000

Inconclusion Terri's Run Rate is $96,000.

Learn more about run rate here:brainly.com/question/16134508

6 0
2 years ago
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