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3 years ago

Math homework, explain please!

Mathematics

2 answers:

leva [86]3 years ago

7 0

1. The answer is 3
2. The answer is 25 cups of flour
Hope this helps!!

Tasya [4]3 years ago

3 0

Youre working on proportions, which involves setting up into fractions. So when you look at:
Suzie has a recipe that will make 12 cupcakes, but she wants to make 60 cupcakes. If the original recipe calls for 5 cups of flour, how much flour will she need for the scaled recipe?
The first thing you do is set up your equation:
5/12 = x/60
To solve: You cross multiply, then divide:
5*60= 300 then 300/12 which = 25 cups of flour

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When a certain kind of bacterium takes a step, it moves 3 × 10^-7 meters. When Joe takes a step, he moves 0.75 meters. How many

padilas [110]

Answer:

2.5 × 10^6 times larger

Step-by-step explanation:

Each step bacteria = 3 * (10^(-7)) meters = 0.0003 millimeters Joes step bacteria = 0.75 meters.= 750 millimeters We then divide = 750/0.0003 = 2500000 = 2.5 × 10^6

5 0

2 years ago

Parabola Equations - Algebra

mash [69]

Answer:

$h=-\frac{1}{6}x^2+2x$

Step-by-step explanation:

The height of the tunnel is modeled by:

$h=rx^2+tx$

Where r and t are constants.

We know that the maximum height of the tunnel h is 6 meters.

And at ground level, the width is 12 meters.

And we want to determine the equation of the parabola.

First, since this is a quadratic, our maximum height h will occur at the vertex of our equation.

The vertex is given by:

$(-\frac{b}{2a}, f(-\frac{b}{2a}))$

In our case, we have the function:

$h=(r)x^2+(t)x$

Hence, a=r; b=t; and c=0.

Therefore, our vertex is:

$\Rightarrow -\frac{t}{2r}$

Thus, if we substitute this back into our equation, we should get 6 since 6 is the maximum height which is determine by the vertex. In other words:

$(6)=r(-\frac{t}{2r})^2+t(-\frac{t}{2r})$

Simplify:

$6=r(\frac{t^2}{4r^2})-\frac{t^2}{2r}$

Simplify:

$6=\frac{t^2}{4r}-\frac{t^2}{2r}$

Combine fractions:

$6=\frac{t^2}{4r}-\frac{2t^2}{4r}=\frac{-t^2}{4r}$

Multiply both sides by the denominator:

$24r=-t^2$

Let's solve for the constant r. Divide both sides by 24. Hence:

$r=-\frac{t^2}{24}$

Now, we can use our knowledge of the width.

We know that the width is 12 meters at ground level.

Hence, when h=0, the difference of our roots is 12.

So:

$0=rx^2+tx$

We can factor:

$0=x(rx+t)$

By the Zero Product Property:

$x=0\text{ or } rx+t=0$

So, the first zero is 0.

Therefore, the second zero must be 12 to ensure that our width is 12.

Let's isolate the second zero. Subtract t from both sides:

$rx=-t$

Divide both sides by r:

$x=-\frac{t}{r}$

We know that this zero must be 12. Thus:

$12=-\frac{t}{r}$

We have previously solved for r. Substitute:

$12=-\frac{t}{\frac{-t^2}{24}}$

Simplify:

$12=\frac{24}{t}$

Take the reciprocal of both sides:

$\frac{t}{24}=\frac{1}{12}$

Multiply both sides by 24. Hence, the value of t is:

$t=2$

Now, we can find r. r is given by:

$r=-\frac{t^2}{24}$

By substituting 2 for t, then, we acquire that:

$r=-\frac{(2)^2}{24}=-\frac{4}{24}=-\frac{1}{6}$

Therefore, for:

$h=rx^2+tx$

Our equation is:

$h=-\frac{1}{6}x^2+2x$

7 0

3 years ago

Complete the table for the given rule. rule: y=x-4 x:? y:6 0 4

Triss [41]

Answer:

10, 4, 8

Step-by-step explanation:

10 - 4 = 6

4 - 4 = 0

8 - 4 = 4

3 0

3 years ago

The relationship between the countries of the Allied Powers?

Brrunno [24]

Allied powers, also called Allies, those countries allied in opposition to the Central Powers (Germany, Austria-Hungary, and Turkey) in World War I or to the Axis powers (Germany, Italy, and Japan) in World War II. did you know? Romania switched sides and became one of the Allied Powers during WWII in 1944.

6 0

3 years ago

PLEASE HURRY THIS IS DUE IN 20MIN

OverLord2011 [107]

This is not my answer I found it from another brainly

From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.

Tony:

2x+3.5y=355

Rae:

2x+3y=320

Now you can solve the equations by subtracting Rae's equation from Tony's

.5y=35 solve for y and you get 70

Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:

2x+3(70)=320

x=55

6 0

3 years ago