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2 years ago

7

Fourteen pounds of beans are distributed equally into 10 bags to give out at the food bank. How many pounds of beans are in each

bag?

1 answer:

mario62 [17]2 years ago

6 0

Answer:

The answer is 1.4 lbs of beans in each bag

Step-by-step explanation:

You divide 14 by 10 and you will get 1.4

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The perimeter of a rectangular garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find

Taya2010 [7]

Answer:

Step-by-step explanation:

perimeter of a rectangle = twice the length plus twice the width

P = 2L + 2W equation 1 P = 86 ft

Given the length is seven feet more than the width

L = W + 7 equation 2

Substitute equation 2 into equation 1

P = 2(W+7) + 2W = 86 ft

2W +14 + 2W = 86 ft

4W = 86 - 14

W = 72 / 4

W = 18 feet

6 0

1 year ago

Need help badly don’t have answer to this problem.

NikAS [45]

There are a couple of ways to tackle this one, using the 45-45-90 rule or just using the pythagorean theore, let's use the pythagorean theorem.

the angle at A is 45°, and its opposite side is BC, the angle at C is 45° as well, and its opposite side is AB, well, the angles are the same, thus BC = AB.

hmmm le'ts call hmmm ohh hmmm say z, thus BC = AB = z.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2 \implies (6\sqrt{2})^2=z^2+z^2
\qquad 
\begin{cases}
c=\stackrel{6\sqrt{2}}{hypotenuse}\\
a=\stackrel{z}{adjacent}\\
b=\stackrel{z}{opposite}\\
\end{cases}\\\\\\ 6^2(\sqrt{2})^2=2z^2\implies 36(2)=2z^2\implies \cfrac{36(2)}{2}=z^2\implies 36=z^2
\\\\\\
\sqrt{36}=z\implies 6=z$

4 0

2 years ago

Read 2 more answers

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

1 year ago

Read 2 more answers

Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. About how many more centimeters does

Alla [95]

Answer:

4.4 cm

Step-by-step explanation:

To solve this problem, we have to remind the conversion factor between feet and cm. We know that:

1 foot = 12 inches

1 inches = 2.54 cm

So,

$1 ft = 12 \cdot 2.54 =30.48 cm$

In this problem, Sarah's height right now is

h = 148 cm

She wants to be 5 feet tall by her next birthday: it means that her height should be

$h'=5 ft \cdot 30.48 =152.4 cm$

Therefore, she needs to grow by:

$h'-h=152.4-148=4.4 cm$

So, she needs to grow 4.4 cm more in order to be 5 feet tall.

3 0

3 years ago

White a multiplication equation and a division equation that compare the number of points derek acored durin game 1(x) to the nu

Juli2301 [7.4K]

The correct question is:

The graph attached shows the number of points Derek scored

during his first five basketball games.

Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).

Answer:

Multiplication equation is y = 3x

Division equation is x = y/3

Step-by-step explanation:

During Game 1, Derek had 6 points

Let x be this point, that is

x = 6

During Game 4, he had 18 points

Let y be this point, that is

y = 18

Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)

This can be written mathematically as

18 = 6 × 3

y = x × 3 (where y is 18, and x is 6)

y = 3x (this is multiplication equation)

If you divide both sides by 3, we have

x = y/3 (this is the division equation)

4 0

2 years ago