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lord [1]
4 years ago
9

Can someone please help I need a clear explanation on how to solve this equation.

Mathematics
2 answers:
nikitadnepr [17]4 years ago
6 0
B = amount of students who chose Bulldog

n = amount of students who chose lion

t = amount of students who chose tiger

so.. "t" chose tiger, ok

"<span>Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus

b = 4t

"</span><span>Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion

n = 2t

now, we know a total of 273 students were surveyed, thus

</span>\bf \begin{cases}&#10;b+n+t=273\\&#10;\boxed{4t}+\boxed{2t}+t=273&#10;\end{cases}&#10;\\\\\\&#10;7t=273\implies t=\cfrac{273}{7}\impliedby \textit{that many chose \underline{tiger}}<span>
</span>
Hunter-Best [27]4 years ago
3 0

Answer:

78 students chose lion.

Step-by-step explanation:

Let x students chose tiger.

Let y students chose bull dog.

Let z students chose lion.

Total students = 273

x+y+z=273           ....(1)

Four times as many students chose Bulldog as chose Tiger.

y=4x

Twice as many students chose Lion as chose Tiger.

z=2x

Substituting the values of y and z in (1)

x+4x+2x=273

=> 7x=273

x = 39   (students who chose tiger)

We have to find students who chose Lion or z (defined above)

z=2x

z=2(39)

So, z = 78

Therefore, 78 students chose lion.

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3 years ago
The quantities x and y are proportional.
KATRIN_1 [288]

Answer:

3

Step-by-step explanation:

Khan Academy

I just took it i hope it helps give some feedback tnx.

5 0
3 years ago
Read 2 more answers
Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7
Helga [31]

<u>Answers </u>

Part 1 = 2/9


Part 2 =5/9


Part 3 =7/9



<u>Explanation</u>

To convert the a repeating decimals this are the steps;

Part 1

Let x = 0.222222... (i)

10x = 2.222222... (ii)


Subtract equation (i) from equation(ii)


10x = 2.222222....

<u> -x = 0.222222....</u>

9x = 2.00000..


∴ 9x = 2

Divide by 9 both sides;


x = 2/9


Part 2

Let x = 0.5555...

10x = 5.5555...

subtract equation (i) from equation (ii).


10x = 5.5555..

<u> - x = 0.5555..</u>

9x = 5.0000..


∴ 9x = 5

x = 5/9


Part 3

Let x = 0.7777....

10x = 7.7777...


Subtracting equation (i) from equation (ii)


10x = 7.7777...

<u> -x = 0.7777...</u>

9x = 7.000..


∴ 9x = 7


x = 7/9


Pattern noted

When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.

5 0
4 years ago
rob has 3 times as msny baseball cards as Kiara. Together, they have 32 baseball cards. how many baseball cards does rob have​
aleksandrvk [35]

Answer:

\boxed{\textbf{24 cards}}

Step-by-step explanation:

\begin{array}{rcl}x & = & \text{Kiara's cards}\\3x & = & \text{Three times Kiara's cards (Rob's cards)}\\x + 3x& = & \text{Total cards}\\4x & = & 32\\x & = & \mathbf{8}\\3x & = & 3 \times 8 = \mathbf{24}\\\end{array}

\text{Rob has $\boxed{\textbf{24 cards}}$}

8 0
3 years ago
Please answer this it would be very helpful if you did.
Dmitriy789 [7]

Answer:

See below ↓↓↓

Step-by-step explanation:

<u>Probability of getting heads</u>

  • Outcome (head) = 1
  • Total outcomes = 2
  • P (head) = <u>1/2</u>

<u></u>

<u>Probability of getting an odd number</u>

  • Outcome (odd) = {1, 3, 5} = 3
  • Total outcomes = 6
  • P (odd) = 3/6 = <u>1/2</u>

<u></u>

The outcomes are equally likely because the probabiity of each outcome is the same.

5 0
2 years ago
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