Luego de dormir 6 horas al día a usted le quedan 18, que puede repartir entre estudio y ocio. X representa

If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?

Leviafan [203]

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

8 0

2 years ago

Solve. (x + 3)^1/2– 1 = x

Natali [406]

Answer:

x=1

Step-by-step explanation:

$(x + 3) ^{ \frac{1}{2} } - 1 = x \\ \sqrt{x + 3} - 1 = x \\ \sqrt{x + 3} = x + 1 \\ square \: both \: sides \\ x + 3 = {x}^{2} + 2x + 1 \\ {x}^{2} + 2x - x + 1 - 3 = 0 \\ {x}^{2} + x - 2 = 0 \\ x ^{2} + 2x - x - 2 = 0 \\ (x^{2} + 2x) - (x + 2) = 0 \\ x(x + 2) - 1( x + 2) = 0 \\ (x - 1)(x + 2) = 0 \\ x - 1 = 0 \\ x = 1 \\ \\ \\ x + 2 = 0 \\ x = - 2$

8 0

2 years ago

Can I get some help with proofs? Picture is attached

aleksandr82 [10.1K]

Give a reason for each step of the proof.

Given: <1 and <2 are complimentary

<1 is congruent to <3,

<2 is congruent to <4

Prove: <3 and <4 are complimentary

Statements: Reasons:

1. <1 and <2 are complimentary 1.Given

2. m<1 + m<2=90* 2.DEFINITION OF COMPLEMENTARY ANGLES

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______

4. m<1=m<3, m<2=m<4 4.DEFINITION OF CONGRUENT ANGLES_

5. m<3 + m<2=90* 5. SUBSTITUTION PROPERTY (m<1 is replaced by m<3.)

6. m<3 +m<4=90* 6. DEFINITION OF COMPLEMENTARY ANGLES

7. <3 and <4 are complimentary 7. DEFINITION OF COMPLEMENTARY ANGLES

8 0

3 years ago

Use the tape diagram to answer the following question: 8 is 40% of what number?

Blababa [14]

20 I apologize if this is wrong

3 0

2 years ago

Solve the linear programming problem.

larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

Z = 3x+2y = 3(5)+2(3) = 21

7 0

2 years ago