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vaieri [72.5K]
3 years ago
6

Solve this linear system. 2.4 = 0.3 x + 0.4y 5x = 2 + 6y

Mathematics
1 answer:
hammer [34]3 years ago
8 0
\left \{ {{2.4 = .3x + .4y} \atop {5x = 2 + 6y}} \right.

5x = 2 + 6y
Divide both sides by 5
x = 6/5y + 2/5

Input in the other equation.

2.4 = .3(6/5y + 2/5) + .4y
2.4 = .36y + .12 + .4y
2.4 = .76y + .12
Subtract .12 from both sides.
2.28 = .76y
Divide both sides by .76
3 = y

x = 6/5(3) + 2/5
x = 18/5 + 2/5
x = 20/5 = 4

(4, 3)
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PLEASE HELP!!!! What is the measure of angle BCD
faust18 [17]

Answer:

82° because

98° + 70° = 168°

360° - 168° = 192°

192° is for two angles, so it can't be 192°, 220°

it's not VERY obtuse angle. So it remains only 82°

3 0
3 years ago
Stefan sells Jim a bicycle for $175 and a helmet for $17. The total cost for Jim is 160% of what Stefan spent originally to buy
Nady [450]

Answer:

Stefan spend $120 originally.

Stefan made $72 by selling bicycle and helmet to Jim.

Step-by-step explanation:

Given:

Cost of bicycle = $175

Cost of Helmet = $17

Percent of total cost of Jim = 160% of original cost of Stefan

We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.

Solution:

Let the Amount Stefan spend originally be 'x'.

Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.

framing in equation form we get;

Total Cost of Jim = 175+17 =\$192

Now we know that;

Total Cost of Jim is equal to 160% of  Amount Stefan spend originally.

framing in equation form we get;

192 = \frac{160}{100}\times x\\\\192 =1.6x

Dividing both side by 1.6 we get;

\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120

Hence Stefan spend $120 originally.

Now we can say that;

Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.

framing in equation form we get;

Money Stefan made = 192-120 =\$72

Hence Stefan made $72 by selling bicycle and helmet to Jim.

7 0
4 years ago
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How m
Crazy boy [7]
3 / (1/8) = 3 × (8/1) = 24
There needs to be 24 students on a team.
7 0
3 years ago
Math Homework Number 49
navik [9.2K]
[((2 / 75.5) - 3) * 2]3 (make 3 an exponent.)
5 0
3 years ago
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