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3 years ago

Three consecutive integers are n, n+1, and n+2.

1 answer:

8 0

We convert the sentences to mathematical expressions as follows

"Four times the sum of the least and greatest integers" : 4[n+(n+2)]

"is 12 less than three times the least integer": = 3n-12

So we have:

4[n+(n+2)]=3n-12 (this is the equation)

4[2n+2]=3n-12
8n+8=3n-12

8n-3n=-12-8
5n=-20

n=-20/5=-4

Answer: the equation is 4[n+(n+2)]=3n-12 , the least integer is -4

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Can use the Pythagorean theorem to solve for b if c is 13 and a is 12

Greeley [361]

Answer:b=5

Step-by-step explanation:the formular for pythagoras theory is

C^2=a^2+b^2

13^2=12^2+b^2

169=144+b^2

Collect like terms

169-144=b^2

b^2=25

Take the the square root of both sides

b=square root of 25

b=5

7 0

3 years ago

A ratio is a comparison of two numbers by addition. always sometimes never

solong [7]

The answer would be the Third Option, "Never".

6 0

4 years ago

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Which choice represents the expression below as a single exponential

kkurt [141]

Answer:

Step-by-step explanation:

Exponential function represents as x^2 = x * x or 2^3 = 2*2*2 etc.

As per options,

(A) We are unable to write the number 79 as a exponent.

B) We are unbale to write the number 742 as a exponent as well.

(d) We are able to write the number 79.79 as exponent (79)^2. Base is 79 and exponent is 2 and it is single exponential expression as base is only one number.

4 0

2 years ago

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0

3 years ago

What is the median for the set of data shown

klemol [59]

Answer: OPTION C

Step-by-step explanation:

By definition, the median is the middle number in the set.

Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:

14, 28, 33, 42, 53, 81, 97

Then, you can conclude that the median is: 42.

Therefore, the answer is the Option C.

8 0

3 years ago

Read 2 more answers