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iragen [17]
3 years ago
6

Write a rule for the nth term of the sequence 15, 19, 23, 27

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

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The area of a rectangle is 216 square inches. If the perimeter is 60 inches, find the length and width of the rectangle
mojhsa [17]

A=Lw

P=2L+2w

216=Lw

W=216/L...substitute to Perimeter equation

60=2L+2(216/L)

60L=2L^2 + 432

2L^2-60L+432=0

2(L^2 - 30L + 216)=0

2(L-18)(L-12)=0

L=12, W=18 or L=18, W=12

3 0
3 years ago
Using the following diagram below, please answer the following:
Colt1911 [192]
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2

The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.

The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
7 0
2 years ago
Which number should follow in this series: 64/64 9/12 6/12​
zheka24 [161]

Answer: \frac{1}{4}

Step-by-step explanation:

You can reduce the fractions, then:

\frac{64}{64}=1

\frac{9}{12}=\frac{3}{4}

\frac{6}{12}=\frac{3}{6}=\frac{1}{2}

Rewrite them as following:

1,\frac{3}{4},\frac{1}{2}

If you subtract the first number and the second number, you obtain:

1-\frac{3}{4}=\frac{1}{4}

 If you subtract the second number and the second number, you obtain:

\frac{3}{4}-\frac{1}{2}=\frac{1}{4}

Therefore, you must subtract \frac{1}{2} and \frac{1}{4} to obtain the number asked. Then, this is:

\frac{1}{2}-\frac{1}{4}=\frac{1}{4}

6 0
3 years ago
Read 2 more answers
20 This spinner will be spun twice. What is the probability of
natali 33 [55]

Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Of those, the odd ones are:

1, 3, 5, 7, 9

So we have 5 odd numbers.

The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:

p = 5/10 = 0.5

For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.

The probability of spining an odd number both times, then is the joint probability for two times this same event:

P = (5/10)(5/10) = 0.5*0.5 = 0.25

or 25% in percent form

3 0
3 years ago
At a high-end restaurant, a meal with a 22% tip costs $179.11. What was the original cost of the meal?
PSYCHO15rus [73]

Answer:

139.71

Step-by-step explanation:

22% of 179.11 is 39.40

179.11 - 39.40 = 139.71

6 0
2 years ago
Read 2 more answers
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