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Sophie [7]
3 years ago
13

Find the solution of the system of equations. 3x+3y= −6 10x+3y= −13

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

x=−1, y=−1

Step-by-step explanation:

Solve for x in the first equation.

x=−2−y

10x+3y=−13

Replace all occurrences of x with −2−y in each equation.

−20−7y=−13

x=−2−y

Solve for y in the first equation.

y=−1

x=−2−y

Replace all occurrences of y with −1 in each equation.

x=−1, y=−1

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Leni [432]
23 + d = 71. ———————————————————-
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3 years ago
How do you write 0.045 as a reduced fraction
Anvisha [2.4K]
0.045 = 45/1000

Divide top and bottom by their greatest common factor.
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6 0
3 years ago
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A cylinder is shown. Use 3.14 as the value of pi 7 mm for radius 11 mm for height​
sukhopar [10]

Answer:

Volume is 1,692.46

Step-by-step explanation:

pi(r^2)(h), 3.14(49)(11)

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3 years ago
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There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing
PIT_PIT [208]

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

4 0
3 years ago
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