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3 years ago

13

compare the pair of fractions below. match the statements to the correct symbol. each symbol may be used more than once or not a

t all. 3/7 is < > or = 9/21

1 answer:

Lelu [443]3 years ago

4 0

3/7 is equal to 9/21 because when you simplify 9/21 you can divide both 9 and 21 with 3 so you would get 3/7
hope this helps

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Prove that 25^11−5^19 is divisible by 31.

SCORPION-xisa [38]

Answer:

Divisible by 3 is the answer

Step-by-step explanation:

First get everything to have the same base of 5

25^11 - 5^19

(5^2)^11 - 5^19

5^(2*11) - 5^19

5^22 - 5^19

Now factor out the GCF 5^19 to get

5^22 - 5^19

5^(19+3) - 5^(19+0)

5^19*5^3 - 5^19*5^0

5^19(5^3 - 5^0)

5^19(125 - 1)

5^19*(124)

At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4

Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4

Since 31 is a factor of the original expression, this means the original expression is divisible by 31.

4 0

3 years ago

1. A line passes through the points (–4, –6) and (8, 4) a. Use point-slope form to write the equation of the line that is perpen

Ainat [17]

Answer:

I just know the formula for slope is y2-y1/x2-x1

Step-by-step explanation:

6 0

3 years ago

Every day for 5 days Jack and Jill went walking. Each day Jack walked 4/5 of a mile and Jill walked 2/3 of a mile. At the end of

DanielleElmas [232]

$\bf \stackrel{\textit{Jack for 7 days}}{7\left( \cfrac{4}{5} \right)}\implies \cfrac{28}{5}~\hspace{10em}\stackrel{\textit{Jill for 7 days}}{7\left( \cfrac{2}{3} \right)}\implies \cfrac{14}{3}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{28}{5}-\cfrac{14}{3}\implies \stackrel{\textit{LCD of 15}}{\cfrac{(3)28-(5)14}{15}}\implies \cfrac{84-70}{15}\implies \cfrac{14}{15}$

7 0

3 years ago

Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du

damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

Given:

Number of goals scored yesterday = $x$

Total number of goals scored in 2 games = 4

We need to find the number of goals scored today.

Solution:

Now Given:

Today she scored 3 times as many goals than yesterday.

So we can say that;

Number of goals scored today = $3x$

Now we know that;

Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.

framing in equation form we get;

$x+3x=4\\\\4x=4$

Dividing both side by 4 we get;

$\frac{4x}{4} =\frac{4}{4}\\\\x=1$

Number of goals scored yesterday = 1

Number of goals scored today = $3x = 3\times1 =3$

Hence Alyssa had scored 3 goals today.

6 0

3 years ago

6y-6y-12y=please help me

Ray Of Light [21]

Hello.

The answer is

-12y

Combine Like Terms:<span>=<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span></span><span>=<span>(<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span>)</span></span><span>=<span>−<span>12<span>y

Have a nice day</span></span></span></span>

7 0

3 years ago

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