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2 years ago

6

Nicanoa keeps the tickets from Ouzt for events he attends the Rachel baseball tickets to basketball taking his collection is 3:5

Nicanoa has 21 baseball tickets how many more basketball tickets then baseball tickets does he have

1 answer:

Arada [10]2 years ago

8 0

Using proportions, it is found that he has 14 more basketball tickets than baseball tickets.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

His proportion of baseball to basketball tickets is of 3:5. He has 21 baseball tickets, hence the amount of basketball tickets is found according to the following<em> rule of three</em>:

3/5 = 21/x

Applying cross multiplication:

3x = 105

x = 105/3

x = 35.

The difference is given by:

35 - 21 = 14.

He has 14 more basketball tickets than baseball tickets.

More can be learned about proportions at brainly.com/question/24372153

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3 pineapples, 2 cabbages and 6 bananas cost a total of $27.

vesna_86 [32]

3p + 2c + 6b = 27
2p + 3c + 4b = 23
4p + 1c + 8b = 31
===============
take any 2 equations and eliminate a variable

3p + 2c + 6b = 27
4p + 1c + 8b = 31....multiply by -2
---------------------
3p + 2c + 6b = 27
-8p - 2c - 16b = - 62 (result of multiplying by -2)
--------------------add
-5p - 10b = - 35

Now take one equation, and the other equation that u have not used already, and eliminate the same variable.

4p + 1c + 8b = 31.....multiply by -3
2p + 3c + 4b = 23
---------------------
-12p - 3c - 24b = - 93 (result of multiplying by -3)
2p + 3c + 4b = 23
----------------------add
-10p - 20b = - 70

now take ur 2 equations that u eliminated the c in, and eliminate another variable

-5p - 10b = -35......multiply by -2
-10p - 20b = -70
---------------------
10p + 20b = 70 (result of multiplying by -2)
-10p - 20b = -70
-------------------add
0 = 0

when u get a result such as 0 = 0....this means there is infinite solutions to this problem

8 0

3 years ago

Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double

jenyasd209 [6]

Given:

$x^2+kx-98=0$

One of the two roots of the given equation is double the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are $\alpha$ and $\beta$ .

According to the question,

$\beta=2(-\alpha)$ (Additive inverse of $\alpha$ is $-\alpha$ )

$\beta=-2\alpha$

If $\alpha$ and $\beta$ are roots of the quadratic equation $ax^2+bx+c=0,$ then

$\alpha+\beta=-\dfrac{b}{a}$

$\alpha\beta=\dfrac{c}{a}$

We have,

$x^2+kx-98=0$

Here, a =1, b=k and c=-98.

$\alpha+\beta=-\dfrac{k}{1}$

$\alpha-2\alpha=-k$ $[\because \beta=-2\alpha]$

$-\alpha=-k$

$\alpha=k$ ...(i)

Now,

$\alpha\beta=\dfrac{c}{a}$

$\alpha(-2\alpha)=\dfrac{-98}{1}$ $[\because \beta=-2\alpha]$

$-2\alpha^2=-98$

Divide both sides by -2.

$\alpha^2=49$

Taking square root on both sides.

$\alpha=\pm \sqrt{49}$

$\alpha=\pm 7$

Using (i), we get

$k=\pm 7$

Therefore, the value of k is either -1 or 1.

6 0

3 years ago

Write this expression into a 2 step equation: 14 more than twice a number.

ratelena [41]

Answer:

let no. be n

14+2n=0

2n=-14

n=-7

3 0

3 years ago

Inspecting Restaurants How many different ways can a city health department inspector visit restaurants in a city with restauran

tankabanditka [31]

Answer:

252 ways

Step-by-step explanation:

The missing details are:

$n = 10$ --- total restaurants

$r = 5$ --- restaurants to visit

Required

The number of ways to perform the visitation

The question is an illustration of combination;

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

This gives:

$^{10}C_5 = \frac{10!}{(10 - 5)!*5!}$

$^{10}C_5 = \frac{10!}{5!*5!}$

Expand

$^{10}C_5 = \frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}$

Cancel out 5!

$^{10}C_5 = \frac{10*9*8*7*6}{5*4*3*2*1}$

$^{10}C_5 = \frac{30240}{120}$

$^{10}C_5 = 252$

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3 years ago

F(x) = x − x^2, find f(x^2)

Dvinal [7]

Answer:f ( x ) − 1 = √ x + 2

Step-by-step explanation:

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3 years ago

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