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2 years ago

6

In science class, Micah must measure a liquid chemical to create a mixture. If she needs 118.4 milliliters of liquid, and only h

as a tablespoon measuring spoon, how many tablespoons will she need to pour? (1 tablespoon is approximately 14.8 mL)

1 answer:

Bingel [31]2 years ago

3 0

8.0071606 ....................................

You might be interested in

1. Which situation does NOT represent a functional relationship?

Alex

Answer:

1. D
2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>

A = 62x -100
B = 2x - 3

<h3>To find </h3>

A/B

<h3>Solution</h3>

A/B =
(62x - 100)/(2x - 3) =
(31*2x - 31*3 - 7)/(2x - 3) =
(31(2x - 3) -7)/(2x - 3) =
31 - 7/(2x - 3)

Correct option is C.

7 0

2 years ago

. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l

Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

$x^2+y^2=25^2$

$x^2+y^2=625$

Now, we need to find the derivative of above equation with respect to time.

$2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0$

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: $20-1(5)=20-5=15$

Let us solve for y using Pythagoras theorem.

$y^2+15^2=25^2$

$y^2+225=625$

$y^2=625-225$

$y^2=400$

Take positive square root:

$\sqrt{y^2}=\sqrt{400}$

$y=20$

Upon substituting our given values in derivative equation, we will get:

$2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0$

$2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0$

$-30+40\cdot \frac{dy}{dt}=0$

$40\cdot \frac{dy}{dt}=30$

$\frac{dy}{dt}=\frac{30}{40}$

$\frac{dy}{dt}=0.75$

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

3 0

2 years ago

On a piece of paper, graph y = 2x - 4. Then determine which answer matches<br> the graph you drew.

nasty-shy [4]

This is a linear graph where the y-int. Is (0,-4) and the x-int. Is (2,0)

3 0

2 years ago

A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the

Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have $\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}$

Hence, Height of the kite from the ground is 29.2 feet.

7 0

2 years ago

You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien

Crazy boy [7]

{11X+8Y=158
{5X+17Y=152

{55X+40Y=790
-
{55X+187Y=1672

147Y=882
Y=6
Cost of the ticket for student is $6

3 0

2 years ago