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Dafna11 [192]
3 years ago
8

Please solve it CORRECTLY step by step asap​

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

Product = \frac{3}{5}ab

Step-by-step explanation:

Given

-\frac{3}{7}a

-\frac{21}{15}b

Required

The product

The product is:

Product = -\frac{3}{7}a * -\frac{21}{15}b'

Cancel out the negative signs

Product = \frac{3}{7}a * \frac{21}{15}b

Simplify fractions

Product = \frac{1}{7}a * \frac{21}{5}b

Product = \frac{1}{1}a * \frac{3}{5}b

Product = \frac{3}{5}ab

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6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How
inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

6x+2y=54                          -----------------------------------(1)

x=\frac{1}{2} y                    --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

6x+2y=54

6(\frac{1}{2} y)+2y=54

\frac{6}{2}y+2y=54

3y+2y=54

5y=54

\therefore y=\frac{54}{5}

\therefore y =10.8          ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

x=\frac{1}{2} y

\therefore x=\frac{1}{2} \times 10.8       ------------(from equation 3)

\therefore x=\frac{10.8}{2}

\therefore x=5.4              ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0
3 years ago
A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the
Svetlanka [38]

Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be x.

And the hotel charge in second city before tax be y.

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

y=x-1500   ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of x + 10% of y = $670.

\frac{6x}{100} +\frac{10y}{100} =670

0.06x+0.10y=670

Substituting the value of y from equation (1) we get:

0.06x+0.10(x-1500)=670

0.06x+0.10x-150=670

0.16x-150=670

<em>Adding both sides by 150 we get:</em>

0.16x=820

<em>Dividing both sides by 0.16 we get:</em>

x=5125.

<em>The hotel charge in first city before tax = $5125.</em>

Now, substituting the value of x in equation (1) we get:

y=x-1500

y=5125-1500

y=3625.

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

5 0
3 years ago
If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?
Masja [62]
For the first die, 5 out of 6 are not 1. 
That is 5/6. 
For the second die, 3 out of 4 are not 1. 
That is 3/4.  
Multiply 5/6 by 3/4 to get the probability.
5/6 x 3/4 = 20/72 
Simplify once to get 10/36. 
Do it again to get 5/18. 
In decimal form it is 0.2777 and in percent form it is 27.77%. 
Hope this helps!

3 0
3 years ago
Como calcular el 15% de 300
ArbitrLikvidat [17]
300 x .15 y te dará la respuesta
4 0
2 years ago
Consider the original triangle and its enlargement.
Trava [24]

Answer:

I believe the scale factor is 2.

7 0
3 years ago
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