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Ierofanga [76]
3 years ago
14

DOES ANYONE KNOW HOW TO DO THIS??????????

Mathematics
2 answers:
Musya8 [376]3 years ago
8 0

Step-by-step explanation:

Same steps, different problem.

x - pounds of type A coffee for current month

y - pounds of type B coffee for current month

x+y=145

4.2x+5.3y=659.9

x+y=145 -> multiply both sides by 4.2

4.2x+5.3y=659.9

4.2x+4.2y=609

1.1y=50.9

Arada [10]3 years ago
3 0

Answer:

She used 49 of type B

Step-by-step explanation:

  • 4.20 x 96 = 403.2
  • 5.3 x 49 = 259.7
  • 403.2 + 259.7 = 659.9
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Apply the distributive property to produce an equivalent expression for 6(7 e + 3).
Ostrovityanka [42]
6(7e+3)= 42e+18 you multiple each thing within the parenthesis
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Hi I really need help with this question <br><br>Plz show ur work <br><br>​
Ugo [173]

Answer:

ok so the answer is x>−99/4

Step-by-step explanation:

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3 years ago
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Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cylinder is 54
earnstyle [38]
The volume of B is twice that of A or B
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Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq
Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

36 x² = 25

x² = 25/36 = 0.69444

|x| = √(25/36) = 5/6

thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).

The area of the bounded region is given by the integral

\int\limits^{5/6}_{-5/6} {(25-36 \, x^2)} \, dx = (25x - 12 \, x^3)\, |_{x=-5/6}^{x=5/6} = 25*5/6 - 12*(5/6)^3 - (25*(-5/6) - 12*(-5/6)^3) = 250/9

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = \int\limits^{\sqrt{b}/6}_0 {(b - 36 \, x^2)} \, dx = (bx - 12 \, x^3)\, |_{x = 0}^{x=\sqrt{b}/6} = b^{1.5}/6 - b^{1.5}/18 = b^{1.5}/9

125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

8 0
4 years ago
In a survey of a town, 56% of residents own a car, 21% of residents owns a truck, and 4% of residents own both a car and a truck
rodikova [14]

Answer:

A. 7%

Step-by-step explanation:

We build the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a resident owns a car.

B is the probability that a resident owns a truck.

We have that:

A = a + (A \cap B)

In which a is the probability that a resident has a car but not a truck and A \cap B is the probability that a resident has both a car and a truck.

By the same logic, we have that:

B = b + (A \cap B)

4% of residents own both a car and a truck.

This means that A \cap B = 0.04

56% of residents own a car

This means that A = 0.56. So

A = a + (A \cap B)

0.56 = a + 0.04

a = 0.52

What is the conditional probability that a person who owns a car also owns a truck?

P(B|A) = \frac{A \cap B}{A} = \frac{0.04}{0.56} = 0.07

So the correct answer is:

A. 7%

8 0
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