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LekaFEV [45]
3 years ago
13

Whats the least common denominator for 2 ∕3 , 5 ∕6 , and 9 ∕4

Mathematics
1 answer:
djyliett [7]3 years ago
8 0
Finding the least common denominator- 
What is the smallest number that all denominators can go into? Well I see that the 2/3 has a relation to 5/6. ( 3 * 2 = 6 ).

4
(9/4) does not have a relation to the 6 in 5/6. So, what is the smallest number that 6 and 4 can go into? I see that it is 12. So the answer is 12.
All three numbers, 4, 6, and 3 can go into 12 and 12 is the smallest.

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Which is the equation of the parabola?
mestny [16]

Answer:

  • y = -1/20(x + 3)²

Step-by-step explanation:

<u>Consider the parent function:</u>

  • y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

  • y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

  • y = -(x + 3)²

<u>Since all the options have 1/20 as a coefficient, our function is:</u>

  • y = -1/20(x + 3)²

This is option B

6 0
3 years ago
Katrina goes to Road Runner after school and purchases a soda for 1.50, chips for 3.50 and a candy bat for 0.50 An additional 8%
Nutka1998 [239]

<u>Answer:</u>

Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

<u> Solution:</u>

Given that Katrina goes to road runner after school and purchase following three products

A soda for 1.50  

Chips for 3.50

Candy for 0.50

Also she pays 8% sales tax.

Need to determine amount paid in sales tax and total amount paid by Katrina.

lets first calculate amount she paid without taxes.  

Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50

As she paid 8% sale tax , that is 8 % of 5.50

so sale tax paid = \frac{8}{100} \times 5.50 = 0.44

<em>Total amount paid = Total amount paid without taxes + tax paid </em>

= 5.50 + 0.44 = 5.94

Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.  

7 0
3 years ago
Solve this equation and explain the steps<br> 9-2x= 7x
Hunter-Best [27]

Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

9 - 2x = 7x

Step 2: Solve for <em>x</em>

<u>Add 2x on both sides:</u> 9 = 9x

<u>Divide both sides by 9:</u> x = 1

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 - 2(1) = 7(1)

9 - 2 = 7

7 = 7

3 0
3 years ago
How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
aleksklad [387]
120 x (1/6) = 20 times
7 0
3 years ago
Is -0.5 an integer? Explain.​
Drupady [299]
Yes, -0.5 is an integer because it is a negative number. Any number that is positive or negative is an integer.
4 0
3 years ago
Read 2 more answers
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