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2 years ago

9tsp to 2T it's a ratio question

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

$\frac{3}{1}$

Step-by-step explanation:

1 teaspoon = 0.3 tablespoon

2 tablespoons is 6 teaspoons

That can be written as $\frac{6}{2}$

Simplified, it is $\frac{3}{1}$

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A toy rocket is launched from a platform that is 48 ft high. The rocket height above the ground is modeled by h=-16t^2+32t+48. a

Komok [63]

Answer:

a) 64 feet

b) 3 seconds

Step-by-step explanation:

The maximum height of $h=h(t)$ can be bound by finding the y-coordinate of the vertex of $y=-16x^2+32x+48$ .

Compare this equation to $y=ax^2+bx+c$ to find the values of $a,b,\text{ and } c$ .

$a=-16$

$b=32$

$c=48$ .

The x-coordinate of the vertex can be found by evaluating:

$\frac{-b}{2a}=\frac{-32}{2(-16)$

$\frac{-b}{2a}=\frac{-32}{-32}$

$\frac{-b}{2a}=1$

So the x-coordinate of the vertex is 1.

The y-coordinate can be found be evaluating $y=-16x^2+32x+48$ at $x=1$ :

$y=-16(1)^2+32(1)+48$

$y=-16+32+48$

$y=16+48$

$y=64$

So the maximum height of the rocket is 64 ft high.

When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.

So we are trying to find the second t such that:

$0=-16t^2+32t+48$

I'm going to divide both sides by -16:

$0=t^2-2t-3$

Now we need to find two numbers that multiply to be -3 and add to be -2.

Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.

$0=(t-3)(t+1)$

This implies we have either $t-3=0$ or $t+1=0$

The first equation can be solved by adding 3 on both sides: $t=3$ .

The second equation can be solved by subtracting 1 on both sides: $t=-1$ .

So when $t=3$ seconds, is when the rocket has hit the ground.

5 0

2 years ago

Zalia meets her friend at the science museum to see a special exhibition. The admission to the museum is $12.50 plus tax. Zalia

diamong [38]

I did the math on calculator and got A.

Hope I could help (:

4 0

2 years ago

Read 2 more answers

PLEASE HELP

iris [78.8K]

Answer:

1) 32

2) x=9

4) 36

Step-by-step explanation:

6 0

2 years ago

Find the value of d.<br> 1/2d - 5 -1/4d = 10

Ksenya-84 [330]

D=60. multiply both sides of the equation by 4 since it’s a factor, giving you 2d-20-d=40. since there are like terms with d, collect them to get d-20=40 and move 20 to the right and change it’s sign. that will give you d=40+20, then calculate to get d=60. hope this helped! :)

6 0

2 years ago

A worker’s total earning is $8.75 per hour plus a $10 tip; what are the hours worked if the worker earned $316.25 in one week?

Rus_ich [418]

First, you will subtract the $10 tip from the total earned, leaving you with $306.25 (earned from hours work). Your wage is $8.75/hr, so if you divide 306.25/8.75, you’ll get 35. You worked 35 hours to earn $306.25, and then got a $10 tip, bringing up your total to $316.25.

4 0

2 years ago

9tsp to 2T it's a ratio question​

9tsp to 2T it's a ratio question