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Katarina [22]
3 years ago
8

Find the product of 6/9 and 3/8 . Express your answer in simplest form.

Mathematics
2 answers:
Neko [114]3 years ago
8 0
Let's write out the problem and see if there is anything we can simplify.

\frac{6}{9} \cdot \frac{3}{8}

The numerator 6 and the denominator 8 can be simplified to 3 and 4 by taking out a 2.
The numerator 3 and the denominator 9 can be simplified to 1 and 3 by taking out a 3.

Now our expression is \frac{3}{3} \cdot \frac{1}{4}.

The fraction 3/3 reduces to 1 since the denominator and numerator are the same and not 0, making our answer 1/4.
8090 [49]3 years ago
5 0
In simplest form, both top and bottom number cannot be divided into any smaller numbers. So, the calculation would be:

6/9 x 3/8

 =(6x3)/(8x9)

= 18/72   ............................Divide both by 18

= 1/4





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Angelica earns d dollars for babysitting each week. She also receives an allowance of $10 per week. The expression (10+d)∙5 can
Katyanochek1 [597]

Answer:

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

Step-by-step explanation:

The given information are;

The allowance Angelica earns for baby sitting = d dollars per week

The amount she receives as allowance = $10 per week

The amount she will have at the end of 5 weeks = (10 + d)·5

The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;

A = (10 + 25) × 5 = $175

The amount of money Angelica will have at the end of five weeks if d = $25 is $175.

7 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
3 years ago
One hundred times the quantity five plus three
Maru [420]
Five-5

three-3

"the quantity five plus three" (5 + 3) 

"one hundred times the quantity ..." means  100 (5 + 3)   

now just solve 100(5+3) 

solve the parentheses first (5+3) = 8

Now you are left with 100(8) or 100*8

when you solve your answer is 800
3 0
3 years ago
Find x so that a is parallel to b. (4x+11) , (8x+1)
yan [13]
4x + 11 = 8x + 1
        11 = 4x + 1
        10 = 4x
         /4    /4
       2.5 = x

X = 2.5
4 0
3 years ago
Can someone please help me with this
Inessa05 [86]
To find the area of a prism, you calculate the area of the cross-section and multiply that number by the length. The cross-section of this prism is a trapezium, and the formula for this is \frac{a+b}{2}h. 
Insert your given numbers to find out the area of this prism's cross-section:
\frac{3+12}{2}12=90
Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.

6 0
3 years ago
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