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2 years ago

The perimeter of a rectangle with a length of 5 inches

Mathematics

1 answer:

Margarita [4]2 years ago

3 0

Answer:

P = 5+5+x+x = 10 + 2x

Step-by-step explanation:

To get the perimeter of any polygon, all we have to do is add up the lengths of all the sides. In this instance, we have a rectangle with a given side of 5 inches. Unfortunately, this isn't enough information to solve this problem completely. We know that opposite sides of a rectangle have the same length, so two of the sides are 5 inches, but we don't know the length of the other 2 sides, so I will write the length of one of the unknown sides as x. So to find the perimeter, we add up all the sides:

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during the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warm

Jlenok [28]

Answer: 28 feet.

Step-by-step explanation:

Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.

The total depth of the lake = 32 feet

Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim= $\frac{7}{8}\times32\ feet$

Since, $32\div8=4$

therefore, $\frac{7}{8}\times32=7\times4=28$

Hence, the fish swim 28 feet in lake.

4 0

3 years ago

A school bus weighs 15{,}59115,59115, comma, 591 kilograms.

BabaBlast [244]

Answer:

why should anyone care about a school bus

Step-by-step explanation:

7 0

2 years ago

5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl

earnstyle [38]

Answer:

B. $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Step-by-step explanation:

We have been given a rational expression $\frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)}$ and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

$\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}$

Now let us simplify our expression using FOIL.

$\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}$

$\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}$

Now we have same denominators, so we can add our numerators.

$\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}$

Now let us combine like terms.

$\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}$

$\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Therefore, the simplest form of our given rational expression will be $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$ and option B is the correct choice.

8 0

3 years ago

6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an

Bas_tet [7]

Answer:

<em>Her rate of change is 75 ft/h</em>

Step-by-step explanation:

<u>Rate of Change</u>

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

$\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}$

$\displaystyle m=\frac{300\ ft}{4\ h}$

$m=75\ ft/h$

Her rate of change is 75 ft/h

3 0

2 years ago

The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en

suter [353]

Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.

70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.

For the instructor to have a profit, the product of 70n must be more than 400.

400/70 = 5.7 or 6

There must be at least 6 students enrolled in class for the instructor to generate profit.

f(x) = 70(6) - 400 = 420 - 400 = 20

1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n

There must be 20 students enrolled in class for the instructor to earn 1000 in profit.

1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000

3 0

3 years ago