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Dafna11 [192]
3 years ago
12

Becky is counting backward from 18.5. Identify the pattern she is using and complete the sequence of numbers.

Mathematics
1 answer:
Stells [14]3 years ago
7 0
Answer: The pattern is -1.25 and the full sequence of numbers are 18.5, 17.25, 16, 14.75, and 13.5.
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ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).
Igoryamba
   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span> 
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver:   AC = BD = 2 



7 0
3 years ago
The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
3 years ago
Which of these values cannot represent the probability of an event happening?
ololo11 [35]

Answer:

D.

Step-by-step explanation:

The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".

A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 10 - 8?
LiRa [457]

Answer:

10 + (-8)

Step-by-step explanation:

Subtracting is like adding a negative

10 -8

10 + (-8)

4 0
3 years ago
Read 2 more answers
WHAT IS THE ANSWER??
Nookie1986 [14]

Steps to solve:

3/x+2 - √x-3 when x = 19

~Substitute

3/19+2 - √19-3

~Simplify

3/21 - √16

~Simplify

1/7 - 4

~Subtract

-3 6/7

Best of Luck!

5 0
3 years ago
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