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evablogger [386]
3 years ago
10

Valentina is choosing cutlery with which to eat dinner. There are 2 knives and 10 forks to

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time

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A quadrilateral has angles that measure 101°, 133°, and 76°. what is the measure of the fourth angle?
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Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i
Marina86 [1]

Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

•

•

- <em>Marlon Nunez</em>

6 0
3 years ago
Read 2 more answers
PERSON WHO GETS THIS RIGHT WILL GET A LOTTT OF POINTS 60+
jarptica [38.1K]

Answer:

See below.

Step-by-step explanation:

a.

x = cost of adult ticket

y = cost of student ticket

cost of adult ticket is twice the cost of a student ticket

x = 2y

number of adult tickets = 64

number of student tickets = 132

cost of all adult tickets = 64x

cost of all student tickets = 132y

cost of all adult and student tickets combined: 64x + 132y

cost of all adult and student tickets combined: 1040

This gives us the equation:

64x + 132y = 1040

b.

Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.

64(2y) + 132y = 1040

128y + 132y = 1040

260y = 1040

y = 1040/260

y = 4

x = 2y = 2(4) = 8

adult ticket: $8

student ticket: $4

5 0
3 years ago
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