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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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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
2 years ago
Complementary and
chubhunter [2.5K]

Answer:

\boxed{\boxed{\sf x=42\°}}

Step-by-step explanation:

Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.

*Two angles with measures that add up to 90° are known as Complementary angles.*

Therefore, m∠PQR+m∠RQS=90°

\sf \angle PQR+\angle RQS=90\°

\sf 48+x=90\°

Subtract 48 from both sides:

\sf 48+x-48=90-48

\sf x=42\°

<u>_______________________________</u>

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2 years ago
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Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
guapka [62]

Answer:

B.

R (2,4)

soln

center(h,k)=(6,1)

radius (r)=5units

so

eqn of circle is (x-6)^2+(y-1)^2=5^2

2 2

or, 25=x +y -12x-2y+36+1 now , only the given point (6,1)satisfies the eqn so this point lies on circle

3 0
3 years ago
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Encuentre la suma: 564 + 3,598 =?<br> 3,034<br> 4,052<br> 4,162<br> 9,238
Scrat [10]
The answer is 4,162 for 564+3,598
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3 years ago
Hi i need help asap TvT
Sergio [31]

Answer:

1 is the answer

Step-by-step explanation:

bc the first number represent x and the second y

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