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4 years ago

(NEED AN URGENT ANSWER) The sum of three consecutive integers is -96. What is the largest integer ?

Mathematics

1 answer:

Ainat [17]4 years ago

5 0

Answer:

-31

Step-by-step explanation:

Let x be the first integer

x+1 is the second integer

x+2 is the third integer

x+ x+1 + x+2 = -96

Combine like terms

3x+3 = -96

Subtract 3 from each side

3x+3-3 = -96-3

3x =-99

Divide by 3

3x/3 = -99/3

x = -33

The integers are

-33

-33+1 = -32

-33+2 = -31

The largest integer is -31

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Your third-grade classroom has 32 boys and girls. Two-thirds of the boys and three-fourths of the girls are going on a field tri

adelina 88 [10]

Answer: The ratio of boys to girls would be 3 : 5 .

Step-by-step explanation:

Since we have given that

Number of boys and girls = 32

Fraction of boys are going on a field trip = $\dfrac{2}{3}$

Fraction of girls are going on a field trip = $\dfrac{3}{4}$

Number of children left = 9

Let the number of boys be 'b'.

Let the number of girls be 'g'.

According to question, it becomes ,

$b+g=32------------(1)\\\\32-9=\dfrac{2}{3}b+\dfrac{3}{4}g\\\\23=\dfrac{2b}{3}+\dfrac{3g}{4}-------------(2)$

From eq(1), we get that g = 32-b

So, it becomes,

$\dfrac{2}{3}b+\dfrac{3}{4}(32-b)=23\\\\\dfrac{2}{3}b+24-\dfrac{3}{4}b=23\\\\\dfrac{2}{3}b-\dfrac{3}{4}b=23-24=-1\\\\\dfrac{8b-9b}{12}=-1\\\\\dfrac{-b}{12}=-1\\\\b=-1\times -12\\\\b=12$

so, number of girls would be 32 - b = 32 - 12 = 20

So, Ratio of boys to girls in class would be 12 : 20 = 3 : 5.

Therefore, the ratio of boys to girls would be 3 : 5 .

7 0

4 years ago

Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,

Lana71 [14]

Answer:

CV for A = 21.8%

CV for B = 15.5%

Step-by-step explanation:

The formula for coefficient of variation is:

CV = Standard Deviation / Mean

So,

For A:

Mean = Sum/No. of items

= 391300/14

=$27950

and

SD = $6085.31

CV for A = 6085.31/27950 * 100

=21.77%

Rounding off to one decimal

CV for A = 21.8%

For B:

Mean = Sum/No. of items

= 43.58/11

=3.96

and

SD = 0.615

CV for B = 0.615/3.96 * 100

=15.53%

=15.5% ..

6 0

3 years ago

If y varies directly as x, what is the value of y in these ordered pairs? (5, 20) and (15, y)

evablogger [386]

Answer:

y=60

Step-by-step explanation:

Multiply the x by 4

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3 years ago

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Mice21 [21]

Answer:

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3 years ago

Two angry children 450 feet apart are headed straight towards each other—one at 15 feet per second and the other at 6 feet per s

sergiy2304 [10]

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3 years ago