All categories

4 years ago

If a backpack can fit 10 pounds of good, how many backpacks are necessary for 35 pounds of good.

Mathematics

2 answers:

slega [8]4 years ago

5 0

Answer:

3.5

hope this helps

OleMash [197]4 years ago

5 0

Answer:

4 backpacks

Step-by-step explanation:

To answer this question, set up a ratio.

Pounds of goods : Number of backpacks

We know that one backpack can carry ten pounds of goods.

10 : 1

We need to find how many backpacks are needed to carry 35 pounds of goods.

Pounds of goods : Number of backpacks

10 : 1

35 : ?

To figure this out, we need to find how we got from 10 pounds to 35 pounds.

10 : 1

35 : ?

Well, to get from 10 to 35, you must multiply by 3.5

10 x 3.5 = 35

Whatever you do to one side of the ratio, do to the other side.

Pounds of goods : Number of backpacks

10 : 1

x3.5 x3.5

35 : 3.5

Round 3.5 to 4 because you wouldn't want half of a backpack!

Therefore, you will need 4 backpacks to carry 35 pounds of goods.

You might be interested in

Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them

garik1379 [7]

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide: y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide: y = 4cos[30(x-6)]+10

8 0

3 years ago

determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2

LuckyWell [14K]

Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}$

6 0

4 years ago

1. In Tulsa, Oklahoma the sales tax is 7.9%. If

LenaWriter [7]

Answer:

$ 67.15 tax

Step-by-step explanation:

the tax would be 7.9% of 850

turn ur percent to a decimal....and " of " means multiply

0.079 * 850 = 67.15 <==

3 0

3 years ago

Solve for x.<br> X + 142<br> 135°

Lyrx [107]

Answer:

X=-7

Step-by-step explanation:

X + 142=135°

X=135-142

X=-7

So the value of X is -7

4 0

3 years ago

A particular frozen yogurt has 75 calories in 2 ounces how many calories are in 8 ounces of the yogurt

Sveta_85 [38]

Hello there! If you know basic division, then you know that 8/2 is 4. With 75 calories being in 2 ounces of yogurt, all we have to do is multiply by 4 to get the amount of calories in 8 ounces of yogurt, because 2 * 4 is 8. Plus for this scenario, whatever we do to one part, we must do to the other. Let's solve. 75 * 4 is 300. There. There are 300 calories in 8 ounces of yogurt.

7 0

3 years ago