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OlgaM077 [116]
3 years ago
8

The perimeter of a rectangle is 90 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 8: 7. Whi

ch of the following would be the best equation to use to solve this problem?
a. 8x+7x=90
b. 2(8x) + 2(7x) =90
c. 8x//7x =90
d. 2x+2x = 90
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
I think a. 8x+7x=90

That's how i usually do these type of questions.

~
x= 6

8x=48
7x=42
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I think the correct answer is $26,843,545.6

Step-by-step explanation:

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3 years ago
What is the nth term?
kumpel [21]

Let a_k denote the <em>k</em>th term of the sequence. Then

a_k=a_1+d(k-1)

where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.

The sum of the first <em>n</em> terms is

S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n

From the formula for a_k, we get

S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)

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S_n=na_1+\dfrac{d(n-1)n}2

S_n=\dfrac n2(2a_1-d+dn)

So we have d=-5, and 2a_1-d=16 so that a_1=\frac{11}2.

Then the <em>n</em>th term in the sequence is

a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}

7 0
3 years ago
The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val
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Answer:

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THen next consecutive odd number is x + 2

Next one is x + 4

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x+x+2+x+4 \leq 33

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x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

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What is the maximum value of the lowest number (x)?? It is 9

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3 years ago
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M(-1,-6), A(-4,5)

AM=((5-(-6))²+(-4-(-1)))^(1/2)=11.401

A(-4,5) and K(5,-2)

AK=((-2-5)²+(5+4)²)^(1/2)=11.401

so the triangle is isosceles.



3 0
3 years ago
Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the
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Probabilities are used to determine the chances of Laura winning an activity

  • The value of p is 1/12
  • The expected score of the game is -1/6
  • The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

\sum P(x) = 1

So, we have:

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1

Collect like terms

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12}  + p= 1

Evaluate the sums, on the left-hand side

\frac{11}{12} + p = 1

Subtract 11/12 from both sides

p = \frac 1{12}

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

E(x) = \sum x * P(x)

So, we have:

E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}

Evaluate the products

E(x) =  -\frac{9}{12} - \frac 1{12}  + \frac 2{12} + \frac 2{12} + \frac 4{12}

E(x) =  -\frac 2{12}

Simplify

E(x) =  -\frac 1{6}

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

P(5) = 0

For after two rounds, we make use of the following equation

P(5) * P(5) = 0 * 0

P(5) * P(5) = 0

Hence, the probability that she has a total score of 5 after two rounds is 0

Read more about probabilities at:

brainly.com/question/25870256

4 0
2 years ago
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