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3 years ago

14

Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the large

st number

1 answer:

Mandarinka [93]3 years ago

8 0

Let consecutive odd numbers be

x , x+2 , x+4

Smallest number =x

Middle number =x+2

Largest number =x+4

According to condition (x) +(x+2) -27 = 3(x+4)

x+x+2-27= 3(x+4)

2x-25= 3x+12

Subtracting 2x and 12 both sides

2x-25-2x-12=3x+12-2x-12

-37= x this is smallest odd number.

Other two odd numbers are (x+2)= (-37+2)=(-35)

& (x+4)=(-37+4)=(-33)

so three consecutive odd numbers are -37 ,-35 , -33

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The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100(1/2) d/5.

Ludmilka [50]

Answer:

12.94%

Step-by-step explanation:

r = 100(1/2)^(d/5) = 100((1/2)^(1/5))^d ≈ 100(.87055)^d

The daily decrease is 1 - 0.87055 = 0.12944 ≈ 12.94%

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3 years ago

Describe in words where the square root of twenty-four would be plotted on the number line.

Rzqust [24]

The square root of 24 would be plotted between 4 and 5, but closer to 5 on a number line.

<h3>What is a number line?</h3>

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will dictate how you answer the number on the line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, denoted by \mathbb {R}. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Number lines are extremely adaptable, that can be used to locate numbers, compare numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and much more.

The square root of $\sqrt{24}=4.899$ , which is between 4 and 5, but closer to 5 on a number line.

To learn more about number lines, refer:

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1 year ago

Keith’s dad is 44 years old if this is 4 years less than three times Keith’s age how old is Keith

Sergeeva-Olga [200]

Answer:

13

Step-by-step explanation:

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4 years ago

Read 2 more answers

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

The length of the side of a square is equal to the perimeter of the square divided by four. Which shows the correct graph relati

serious [3.7K]

Answer:

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Step-by-step explanation:

Let

x ----> the perimeter of the square

y ---> the side length of the square

Remember that

The perimeter of the square is given by the expression

$P=4b$

where

b is the length side of the square

solve for b

$b=\frac{1}{4}P$

That means

A ordered pair in the coordinate plane following the rule

(x,y) -----> (x,x/4)

The y-coordinate is equal to the x-coordinate divided by 4

y=x/4

therefore

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Because

For the point (4,1)

substitute in the linear equation the value of x

y=4/4=1 ----> is ok

For the point (8,2)

substitute in the linear equation the value of x

y=8/4=2 ----> is ok

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3 years ago