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3 years ago

3f+2g=30 and f+2g=26

1 answer:

7 0

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

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A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Alexus [3.1K]

A - juice is not sugar free

B - juice is not grape juice

$|\Omega|=27\\ |A|=13\\ |A\cap B|=3\\\\ P(A)=\dfrac{13}{27}\\ P(A\cap B)=\dfrac{3}{27}=\dfrac{1}{9}\\\\ P(B|A)=\dfrac{\dfrac{1}{9}}{\dfrac{13}{27}}=\dfrac{1}{9}\cdot\dfrac{27}{13}=\dfrac{3}{13}$

So, it's D, assuming "3 13" meant $\dfrac{3}{13}$

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3 years ago

55-8= 67+8= 99-4= 456-78= plz help me I need this done in one hour

bixtya [17]

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7 0

3 years ago

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The two functions below are used to represent the height of a rocket above the ground after it is launched. Which rocket reaches

Korvikt [17]

Answer:

Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Step-by-step explanation:

A graph quickly shows the answer to this question.

In vertex form, the equation for Rocket A is ...

y = -6(x² -16x +8²) +6(8²)

y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet

The corresponding equation for Rocket B is ...

y = -4(x² -20x +10²) +4(10²)

y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet

Rocket B reaches a maximum height greater than that of Rocket A.

7 0

3 years ago

Read 2 more answers

Find the measures of the interior angles of the triangle.

jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 180° - 30° - 90°

B = 60

Hope it helps!!

3 0

3 years ago

What’s the value of x? G 53° 45 H x°

Kazeer [188]

Answer:

x = 98°

Step-by-step explanation:

95 + 53 + (180 - x) = 180

148 + 180 - x = 180

328 - x = 180

328 - x + x = 180 + x

x + 180 = 328

x + 180 - 180 = 328 - 180

x = 98°

7 0

3 years ago