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2 years ago

Simplify. 8m+4n+7m−2n What is the answerWhich expression shows the result of applying the distributive property to 3(2x−6) ?

Mathematics

1 answer:

Alexandra [31]2 years ago

6 0

Answer:

15+2n
6(x-3)

Step-by-step explanation:

8m+4n+7n-2n
8m+7n+4n-2n
15n+2n

3(2x-6)
3 multipied by 2x and 6= 6x-18
The GCF(greatest common factor)is 6
6x divided by 6 is x and 18 divided by 6 is 3

so the GCF goes outside the parenthesis and the numbers you got after you divided goes inside. 6(x-3)

Hope this helps!

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Which number is the smallest? 5.6123 5.6245 5.6023 5.6985

alexandr402 [8]

5.6023, hope this helps!

4 0

2 years ago

At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts and 2

earnstyle [38]

Answer:

24 blank shirts

Step-by-step explanation:

I'm guessing you're asking for blank shirts. 12+6+4+2=24. 24 teams so far, but there are the blank shirts.

(24+b)/2=b. Multiply by 2

=24+b=2b. Subtract b

24=b

8 0

2 years ago

Katie is k years old. Harry is 4 years older than Katie. Rachel is twice as old as Harry. If you add together the ages of Katie,

vichka [17]

K+(k+4)+2k=36
4k+4=36
4k=36-4
4k=32
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5 0

3 years ago

You have conducted a survey on a number of households and found out how many pets they owned brainly

eduard

Answer:

Using tally marks

Step-by-step explanation:

Missing information;

Number of pets are;

3,0,1,4,4,1,2,0,2,2,0,2,0,1,3,1,2,1,1,3

Find;

Ungroups frequency distribution table

Computation:

<u>Number of pets Tally Frequency</u>

0 IIII 4

1 IIIII I 6

2 IIIII 5

3 III 3

4 II 2

4 0

2 years ago

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago