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mr_godi [17]
3 years ago
13

ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

3 tennis rackets. Draw a model to show the ratio of tennis balls to tennis rackets.

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

\frac{x}{y}=\frac{5}{3}

see the model in the attached figure N 1

so

y=\frac{3}{5}x

y=0.60x

This is the equation of a linear direct variation

The relationship between the variables x and y is proportional

see the model in the attached figure N 2

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Write 215 as a product of its prime factor
Zanzabum

Answer:

Since, the prime factors of 215 are 5, 43. Therefore, the product of prime factors = 5 × 43 = 215.

Step-by-step explanation:

may this answer is helpful for you

6 0
3 years ago
Read 2 more answers
I will mark brainliest please help me​
Lapatulllka [165]

Answer:

Formula for mean in grouped data

= Zfx/ Zf

f = sum of the number of mice

= 35

Frequency = 39 + x

Mean = 7

Fx = 20 + 78 + 112 + 8x + 54

= 264 + 8x

7 = 264 + 8x/ 39 + x

7(39+x) = 264 + 8x

After solving you will get

x = 9

Hope this helps.

4 0
3 years ago
What is the answer a, b, c, or d
podryga [215]

Answer: Choice B

(-2, 5)

==================================================

Explanation:

The original system is

\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation  -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

----------------

-4x+3y = 23

-4(-2)+3y = 23

8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

Or

x-y = -7

-2-y = -7

-y = -7+2

y = -5

y = 5

Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

6 0
3 years ago
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
mash [69]

Answer:

4

Step-by-step explanation:

Multiply both sides by 7.

5s+8=28

Subtract 8 from both sides.

5s=20

Divide 5 from both sides,

s=4

3 0
3 years ago
Read 2 more answers
QUESTION 1
Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is

<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)

The cosine of the angle between the vectors can be obtained from the dot product identity,

<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>)   ==>   cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)

so that

<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)

For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is

<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==>   <em>W</em> ≈ 5.12 J

(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).

3 0
3 years ago
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