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2 years ago

Twelve pens and 16 pencils will be placed in bags with equal number of each item.

Mathematics

2 answers:

Alla [95]2 years ago

5 0

You divide 16 into 12 and get 1.3 repeating

frozen [14]2 years ago

5 0

Divide 16 into 12 and you’ll get 1.3

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Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

Alona [7]

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

y = price of child ticket

(1) 175x + 103y = 13796 (2) 2x + 2y = 184

x + y = 92

y = 92 - x

175x + 103(92 - x) = 13796

175x + 9476 - 103x = 13796

72x = 4320

x = 60 y = 92 - 60

y = 32

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2 years ago

Ron cycles 12Km due west and then 9Km due north. Find the shortest distance covered by him to reach his starting point?

svp [43]

Shortest distance 55 feet long

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2 years ago

Solve the proportion: 4/x = 2/7

N76 [4]

Answer:b

Step-by-step explanation:

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2 years ago

Read 2 more answers

Will reward brainliest!

Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

$\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}$

Dividing by 3, we get,

$x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}$

Hence, the equation has two irrational solutions.

8 0

2 years ago

HELP DUE IN 10 MINS!

Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

Area of circle: $27^2\pi=729\pi$

Circumference of a circle: $2\cdot 27\cdot \pi=54\pi$

Area of sector: $27^2\pi\cdot \frac{80}{360}=162\pi$

Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

3 0

2 years ago