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3 years ago

13

The smallest of three consecutive integers is added to four times the largest integer; the result so obtained is 15 less than th

ree times the middle integer. Find the integers.

1 answer:

Anton [14]3 years ago

3 0

Answer:

Let the three consecutive integers be x,x+1,x+2

ATQ

x+2(x+2)+15=4(x+1)

=3x+19=4x+4

= x=15

..... Hence. The nos. Are 15,15+1=16 and 15+2=17

Step-by-step explanation:

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The diagram below shows the rectangle BOAR B Find the length o fsegment PA . if entering your answer as a decimal, round your fi

yulyashka [42]

Answer:

4.62 units

Step-by-step explanation:

Let's first find the length OR.

OR² = BR² + OB²

OR² = 5² + 12²

OR² = 25 + 144

OR² = 169

$OR = \sqrt{19}$

OR = 13

Let's find the area of triangle OBR.

Using the formula :

½bh

Where

b = BR

h = OB

Therefore, area of triangle OBR =

½ * BR * OB

= ½ * 5 * 12

= 30

From the diagram, triange OBR and OAR are parallel to each other, and they equal.

Thus, area of OBR = area of OAR

To find the length PA, we have :

Area of OAR = ½ * OR *PA

Let's make PA subject of the formula:

$PA = \frac{area of OAR}{\frac{1}{2} * OR}$

$PA = \frac{30}{\frac{1}{2} * 13}$

PA = 4.618 ≈ 4.62

PA = 4.62 units

7 0

3 years ago

Someone help me please

Alla [95]

Answer:

(4, 5)

Step-by-step explanation:

i hope this helps :)

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3 years ago

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if Ms. sanchez has 32 students in her class, about how many students earned a grade of 80% or higher? about how many earned more

stealth61 [152]

Um, the picture is kind of blurry otherwise I can help since I am pretty good with this...

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3 years ago

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8. The mean of the winning scores of a bowling tournament over the last 10 years was 279, with a standard deviation of 3. Consid

Naily [24]

We Answer:

84.134% of the scores

Step-by-step explanation:

-This questions needs as to determine the probability of scores less than 282 then find the expectation;

-Let X be the score of a random selection:

$P(X$

$=84.134\%$

The probability of scores below 282 is 0.84134 or 84.134%

Hence, 84.134% of the scores were below 282

8 0

3 years ago

Y = 3x + 13 <br> y = -2x - 22<br><br> substitution method show work <br><br> pls someone help quick

laiz [17]

Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7

5 0

3 years ago