Ask question

Ask question

All categories

3 years ago

6

when gail goes on a hike she always packs a ratio of 20 protien bars to 15 water bottles in her backpack . for a short hike ,gai

l should pack ___ protien bars if she packe 3 water bottles

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer:

4 bars

Step-by-step explanation:

Gail's ratio of bars to bottles is ...

20 : 15 = 4 : 3

For 3 bottles, she should pack 4 bars.

You might be interested in

Three expressions that are equal to 5/9 x 8

madam [21]

Answer:

$\frac{13}{9}+3$
$\frac{22}{9}+2$
$\frac{85}{9}-5$

They all equal $\frac{5}{9}*8$ because they all give $\frac{40}{9}$

Step-by-step explanation:

$\frac{13}{9}+3$
$\frac{22}{9}+2$
$\frac{85}{9}-5$

They all equal $\frac{5}{9}*8$ because they all give $\frac{40}{9}$

Done by writing three equations with one random number and the desired result, $\frac{40}{9}$ , returning the answers above.

4 0

3 years ago

What is the area of a circle with a diameter of 24 meters (use 3.14 for Pi)?

Zarrin [17]

The area of a circle is represented by the equation:

$A=\pi r^{2}$

We know that the diameter is two times the radius: $d=2r$

So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:

$24m=2r$ --> $r=12m$

So then we can plug this radius in to the equation for the area of a circle:

$A=\pi (12)^{2}$

$A=144\pi$

We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:

$A=3.14(144)$

$A=452.16m^{2}$

Now we know that the area of this circle is 452.16 square meters.

5 0

3 years ago

A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?

Burka [1]

Answer:

each cup would cost $0.52

Step-by-step explanation:

there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))

Tell me I got this wrong

3 0

2 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of <em>f</em> :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of <em>g</em> :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Circle Q has a circumference of approximately 50 centimeters.What is the approximate length of the diameter, d? Use 3.14 for . R

frozen [14]

Answer:

15.92

Step-by-step explanation:

50 ÷ 3.14 = 15.92

4 0

3 years ago