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2 years ago

The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence

Mathematics

1 answer:

zysi [14]2 years ago

6 0

Answer:

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

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Miguel tells his teacher1/5 is the same as 20%. Which best justifies Miguel’s answer? a.5 goes into 100 twenty times, so 20% is

svetoff [14.1K]

Answer:

C. 5 goes into 100 twenty times, and 1 times 20 is 20

Step-by-step explanation:

Since, we know that when we multiply both numerator and denominator of a fraction by a same number then we obtain an equivalent fraction,

Here, the given fraction,

$\frac{1}{5}$

By the above statement,

$\frac{1}{5}=\frac{1\times 20}{5\times 20}=\frac{20}{100}$

Now,

$a\%=\frac{a}{100}$

$\implies \frac{20}{100}=20\%$

Hence,

$\frac{1}{5}=20\%$

Option C is correct.

3 0

3 years ago

Read 2 more answers

How many gallons of gas are left after driving 200 miles

BaLLatris [955]

The equation y = -0.04x + 12 gives the number of gallons of gas in your car where x is the number of miles drivene

easy

y=gas left
x=miles

sub 200 for x
y=-0.04(200)+12
y=-8+12
y=4

4 gallons left

8 0

3 years ago

The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75 percent o

kati45 [8]

Answer:

Answer; Mean = p = 0.75

Standard deviation =0.0274

Step-by-step explanation:

Mean = p = 0.75

Standard deviation = √ [ p ( 1 - p) / n ]

= √ [ 0.75 * ( 1 - 0.75) / 250]

= 0.0274

5 0

4 years ago

What answer i need fast

irina [24]

2/3 cup pineapple for every 1/3 cup OJ

there are three 1/3 cups in 1 cup

so multiply 2/3 by 3

2/3 * 3 = 6/3 = 2

2 cups of pineapple juice is needed

5 0

3 years ago

Can someone plz help me. How can you find the inequalities of 11/15 and 5/7. Next 5/9 and 7/13. Next 11/15 and 5/7. Lastly 5/9 a

LekaFEV [45]

To make this a little clearer, let's give the pairs of inequalities the same denominator:

Question 1:
 $\frac{11}{15}$ ? $\frac{5}{7}$
First, apply the common denominator to the first fraction:
$(\frac{11}{15})7 \\ \frac{11}{15} * \frac{7}{7} \\ \frac{11*7}{15*7} \\ \frac{77}{105}$
Do the same for the second: $15( \frac{5}{7}) \\ \frac{5}{7}* \frac{15}{15} \\ \frac{5*15}{7*15} \\ \frac{75}{105}$
Nest, compare the two fractions:
$\frac{77}{105} \ \textgreater \ \frac{75}{105}$
Therefore:
$\frac{11}{15}$ > $\frac{5}{7}$

Question Two:
$\frac{5}{9}$ ? $\frac{7}{13}$
Apply the common denominator to fraction one:
$13( \frac{5}{9}) \\ \frac{5}{9} * \frac{13}{13} \\ \frac{5*13}{9*13} \\ \frac{65}{117}$
Fraction two:
$9(\frac{7}{13}) \\ \frac{7}{13} * \frac{9}{9} \\ \frac{7*9}{13*9} \\ \frac{63}{117}$
Evaluate:
$\frac{65}{117}$ > $\frac{63}{117}$
Therefore:
 $\frac{5}{9}$ > $\frac{7}{13}$

Hope this helps!

5 0

3 years ago