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chubhunter [2.5K]
3 years ago
12

the frequency table shows the number of books some students read last summer. Based on the data in the table, which statement is

true? A.) nine more girls read 6 or more than boys who read 6 ir more books B.) Six more boys read 2-3 books than girls who read 2-3 books C ) exactly twice as msny boys read 0-1 book thsn read 6 or more books D.) twice as many girls read 6 or more books than girls who read 4-5​

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0

Answer:

  A.) nine more girls read 6 or more than boys who read 6 or more books

Step-by-step explanation:

Let's examine the statements ...

  a) 24 is 9 more than 15 . . .  TRUE

  b) 41 is 6 more than 36 . . . false

  c) 32 is twice as many as 15 . . . false

  d) 24 is twice as many as 48 . . . false

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Answer:

the first and third

Step-by-step explanation:

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An athlete jumps these 4 distances in a log jump competition. witch jump dose NOT round to 4.7 meters A:4.746 meters B:4.680 met
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The answer is C:4.647.
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3 years ago
given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0
jonny [76]
\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx
\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx
\implies \dfrac12y^2=x^3+2x^2+C

When x=1 you have y=\sqrt{10}, so

\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2

and so the particular solution to the ODE is

\dfrac12y^2=x^3+2x^2+2

Then when x=0, you get

\dfrac12y^2=0^3+2(0)^2+2=2
\implies y^2=4
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4 0
3 years ago
Which expression is the simplest form of -(4x + y)n + 2(x - 3y)
Marina86 [1]

Answer:

\boxed{\bold{-4nx-ny+2x-6y}}

Explanation:

Rewrite:

= \bold{-n\left(4x+y\right)+2\left(x-3y\right)}

Expand \bold{-n\left(4x+y\right): \ -4nx-ny}

= \bold{-4nx-ny+2\left(x-3y\right)}

Expand \bold{2\left(x-3y\right): \ 2x-6y}

= \bold{-4nx-ny+2x-6y}

Mordancy.

4 0
3 years ago
On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

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