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Kay [80]
3 years ago
9

Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

m=9

n=-15

Step-by-step explanation:

If you set it up in a systems of equations way, ou would have

    4m+3n=-9

+ . 2m+n=3

-------------------

You would need to cancel out a variable and in my opinion, canceling m out is easier.

  4m+3n=-9

+-4m-2n=-6

-------------------

0m+n=-15

n=-15

you then plug this into one of the equations, (in my opinion the 2nd one is easier)

2m-15=3

2m=18

m=9

this gives you m so you can get the answer

m=9 and n=-15

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Quadrilateral ABCD​ is inscribed in this circle.
Svetllana [295]

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

\implies \: x \degree + (3x - 12) \degree = 180 \degree \\  \\ \implies \: (4x - 12) \degree = 180 \degree \\  \\  \implies \: 4x - 12  = 180  \\  \\ \implies \: 4x   = 180  + 12 \\  \\ \implies \: 4x   = 192 \\  \\ \implies \: x   =  \frac{192}{4}  \\  \\ \implies \: x   = 48\\\\

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

\implies \: m\angle B   = 132\degree\\\\

5 0
3 years ago
Abby is touring China for four days. the car rental is 38.15 per day plus 12 1/2 cents per mile. if Abby drives 380.5 miles how
pickupchik [31]

Hi there!

First, you do first 4x38.15=152.60 then you do 0.12.50x380.50=47.56 then you add total of the result that is how much she own the rental company.

sorry my finger touch the reported button sorry about that.

Hope it was helpful

4 0
3 years ago
Read 2 more answers
Factor completely.<br> - 2x² + 20x – 48 =<br><br> What is the missing factor?
Lemur [1.5K]

Answer:

- 2(x - 6)(x - 4)

Step-by-step explanation:

Given

- 2x² + 20x - 48 ← factor out - 2 from each term

= - 2 (x² - 10x + 24) ← factor the quadratic

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 6 and - 4, since

- 6 × - 4 = + 24 and - 6 - 4 = - 10, thus

x² - 10x + 24 = (x - 6)x - 4) and

- 2x² + 20x - 48 = - 2 (x - 6)(x - 4) ← in factored form

4 0
4 years ago
Read 2 more answers
Need help on 9 and I’m done :)
Colt1911 [192]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot Mei can use to heat all the soup?
balu736 [363]
<h3>Mei can use the smallest pot with capacity of 2400 milliliters to heat all the soup</h3><h3><u> Solution:</u></h3>

Given that,

Mei has 8 jars of soup

Each jar contains 300 milliliters of soup

Therefore,

Total amount of soup = 300 ml x 8 jars

Total amount of soup = 300 \times 8

Total amount of soup = 2400 ml

Hence, Mei can use the smallest pot with capacity of 2400 milliliters to heat all the soup          

8 0
4 years ago
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