the length of a rectangle is 5 in. less than 3 times its width. If the perimeter of the rectangle is 54 in. find the length and width.

answer:  [tex]d = 4.2[/tex]

explanation:

[tex]-5.5(d-2)=-12.1[/tex]  | distribute the -5.5 into the parentheses

[tex]-5.5d + 11 = -12.1[/tex]  | subtract 11 and move it over to -12.1

[tex]-5.5d = -23.1[/tex]  | divide by -5.5

[tex]d = 4.2[/tex]  | final answer

hope this helps! ❤ from peachimin

-5.5(d - 2) = -12.1

-5.5d + 11.0 = -12.1    distributed -5.5 on the left side

           -11.0    -11.0

-5.5d           = -23.1

             [tex]\frac{-5.5d}{-5.5} = \frac{-23.1}{-5.5}[/tex]

               d = 4.2

Answer: d = 4.2

1.48 because 38.48÷26 is 1.48

all you need to do is divide the numbers. 38.48 divided by 26 is $1.48. To check if this is correct multiply $1.48 by 26 and you will get 38.48.

glad I coud help :)

f(x) basically means the function of x, which is y.

The question wants you to find f(2), so substitute 2 for x in the problem.

f(2) = 3(2) + 4

Multiply 3 and 2.

f(2) = 6 + 4

Add 6 and 4.

f(2) = 10

The value of f(2) for the given function is 10.

The given function is f(x) = 3x+4.

We need to find the value of the given function for f(2).

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Now, to find f(2):

Replace variable x by 2 and find the value of f(2).

That is, f(2)=3(2)+4=10

Therefore, the value of f(2) for the given function is 10.

To learn more about the function visit:

https://brainly.com/question/5975436.

#SPJ2

Your answer will be 2+\sqrt{3} will be your answer

8 + 6.2 + 4a - 9a

(8 + 6.2) + (4 - 9)a

14.2 - 5a is your answer.

Answer:

Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.

First, let's combine [tex]8[/tex] and [tex]6.2[/tex]

[tex]8+6.2=14.2[/tex]

[tex]4a-9a+14.2[/tex]

Now, combine the other two monomials.

[tex]4a-9a=-5a[/tex]

[tex]-5a+14.2[/tex] would be your answer.

Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.

We have been given that there are about 1.61 kilometers in 1 miles.

Let x represent a distance measured in kilometers and y represent the same distance measured in miles.

We can set two equations from the given information as:  

[tex]x=\frac{1}{1.16}*y[/tex] (Number of kilometers in terms of number of miles)

[tex]y=1.61*x[/tex]  (Number of miles in terms of number of kilometers)

Therefore, [tex]x=\frac{1}{1.16} y[/tex] and [tex]y=1.61*x[/tex] will be our equations.

To relate a distance measured in kilometers and miles, two equations can be written: y = 1.61x and x = 0.62y.

To write equations that relate a distance measured in kilometers and the same distance measured in miles, we can use the conversion factor between kilometers and miles. Based on the given information, 1 mile is equivalent to 1.61 kilometers. So, the first equation would be: y = 1.61x, where x represents the distance in kilometers and y represents the distance in miles. To find the equation in the opposite direction, we can use the inverse of the conversion factor, which is 1 divided by 1.61. So, the second equation would be: x = 0.62y.

https://brainly.com/question/11425804

#SPJ3

the correct answer is A) 45 minutes

Answer:

Option A, 45 minutes.

Step-by-step explanation:

In the graph attached line of the best fit passes through two points (27, 14) and (36, 22).

These are the points which are not the scatter points but lying on the line.

Let the equation of the line be y = mx + c

Where m = slope and c = y-intercept.

Since slope m = [tex]\frac{y-y'}{x-x'}[/tex]

                        = [tex]\frac{22-14}{36-27}[/tex] = [tex]\frac{8}{9}[/tex] = 0.88

This line passes through another point on x-axis (11,0).

So equation passing through (11,0) will be

0 = (0. 88) × 11 + c

c = -9.68

Finally equation of the line will be

y = 0.88x - 9.68

Now we have to find the time at which scored 30 points.

By putting y = 30 in the equation

30 = 0.88x - 9.68

x = [tex]\frac{39.68}{0.88}[/tex] = 45

Option A is the answer.

Your answer would be  a3b2c7

a + b = -2

x + y = -2

4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)

substitute

4(-2) + 5(-2) = -8 - 10 = -18

the answer is terms that have identical variable parts

I say it is the last one. I say that because it has the word Terms in it. I don't know for sure tho....

The total price of the television is $888.3

Final answer:

To find the depth of the ocean using the travel time of a signal and the speed of sound in seawater (1450 m/s), multiply the travel time (here, 2.5 seconds) by the speed of sound and then divide by two, as the signal travels the distance twice. In this case, the depth would be 1812.5 meters.

Explanation:

To calculate how deep the ocean is at a given point where a ship sends out a signal and receives it back after a certain time, you need to use the speed of sound in water and the time it takes for the signal to travel to the ocean bottom and back. Since the signal travels the distance twice, the depth can be found by dividing the total distance traveled by two.

Let's consider the example where the signal returns after 2.5 seconds. With the speed of sound in sea water being 1450 m/s, the total distance covered by the sound wave is the product of the speed of sound and the time taken which is 1450 m/s * 2.5 s. However, since this distance is the round trip, to find the depth of the ocean at that point, we need to divide the result by 2.

The calculation will look like this:

When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor, add the numerators together and simplify if possible.

When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor to make the denominators the same. Finally, add the numerators together and simplify if possible.

For example, if you want to add 1/2 and 3/4, the LCD is 4. Multiply the numerator and denominator of the first fraction by 2 to get 2/4. Then, add the numerators together: 2/4 + 3/4 = 5/4. However, this fraction can be simplified to 1 1/4.

The time it takes for a city's population to quadruple, given a doubling time of 22 years, is 44 years since quadrupling requires two doublings of the population.

The question asks about the time it will take for a city’s population to quadruple given that its doubling time is 22 years. To find the time it takes for the population to quadruple, we need to understand that quadrupling the population means doubling it twice. Since the doubling time is 22 years, we simply need to multiply this time by 2 to get the time for the population to quadruple.

Therefore, the correct answer is 44 years (B). This is because:

First doubling: 22 years

Second doubling (to quadruple): 22 + 22 = 44 years

Answer:

[tex]s=-1.5[/tex]

Step-by-step explanation:

Given the equation :

[tex]0.5s+1=7+4.5s[/tex]

the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.

[tex]1-7=4.5s-0.5s[/tex]

Solving for [tex]s[/tex] we have the following:

[tex]-6=4s[/tex]

[tex]\frac{-6}{4} =s[/tex]

[tex]-1.5 =s[/tex]

the answer is: [tex]s=-1.5[/tex]

12) if x is 0, then it lies on the y-axis.  If y is 0, then it lies on the x-axis.

a) (0, 4) lies on y-axis

b) (-2, 0) lies on x-axis

c) (3, 0) lies on x-axis

d) (0, -1) lies on y-axis

13) multiply each of them out and add them together.  You will see that the first and last terms cancel, leaving you with the middle terms which each have a coefficient of 3.

3[xy(y - x) + yz(z - y) + xz(x - z)]

14) x³ - x

= x(x² - 1)

= x(x - 1)(x + 1)

15) Using synthetic division for 5x⁴ - x³ - 2x² + x + 9  ÷  x - [tex]\frac{1}{2}[/tex]

0.5   |  5      -1       -2          +1          +9

        | 0.5  2.75   0.875   0.5625   0.78125

          5.5  1.75     1.125     1.5625    9.78125

Remainder is: 9.78125

16) TRUE. This is known as the Triangle Angle Sum Theorem

17) Separate into two triangles, use Heron's formula to calculate the area for each triangle, then find their sum.

ΔABC: s = (6 + 7 + 9)/2 = 11, A = √(11)(5)(4)(2) ≈ 21

ΔCDA: s = (12 + 15 + 9)/2 = 18, A = √(18)(6)(3)(9) ≈ 54

ΔABC + ΔCDA: 21 + 54 = 75 cm

18) 3√45 - √125 + √200 - √50

 =  9√5   - 5√5   + 10√2 - 5√2

=        4√5           +      5√2

.020 because it is 2 spots behind the decimal

15 is an odd number because you cant divided in half also 15 is the illumanti

Answer:

the answer is B, as 200+10 over and over and 1000-15, causing them to meet at 520

Julie will have $520.00 and Briana will also have $520.00 in their accounts after 32 weeks.

Let's represent the number of weeks as x. Julie starts with $200 in her account and saves $10 each week, so the amount in her account after x weeks is given by the expression 200 + 10x. Briana starts with $1000 in her account and spends $15 each week, so the amount in her account after x weeks is given by the expression 1000 - 15x. To find out when they will have the same amount, we set the two expressions equal to each other and solve for x:

200 + 10x = 1000 - 15x

25x + 200 = 1000

25x = 800

x = 32

After 32 weeks, both Julie and Briana will have the same amount in their accounts. To find out how much money each will have, we substitute the value of x into one of the expressions. For example, using Julie's expression, we have:

Amount in Julie's account after 32 weeks = 200 + 10(32) = 200 + 320 = $520.00

Therefore, Julie will have $520.00 in her account after 32 weeks, and Briana will also have $520.00 in her account.

https://brainly.com/question/35451698

#SPJ3

16x 4 = 64 so thats the volume

Calculate total area by multiplying the length by the width:

40 ft x 18 ft = 720 square feet total.

Now subtract the area of the pool:

720 - 320 = 400 square feet for the deck.

3t - 18 = 4(-3 - 3/4t)

Use distributed to remove parenthesis right side

3t-18= -12-3t

Add 3t by 3t

3t+3t-18=-12

6t-18=-12

Add 18 to both sides

6t=-12+18

6t= 6

Divide 6 both sides

6t/6=6/6

Solved

T=1

Answer:

its t=1

Step-by-step explanation:

Answer:

The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths

Step-by-step explanation:

2.4(6.2-x)> - 4.5

6.2 can be written as 6 and 2 tenths

2.4 can be written as 2 and 4 tenths

4.5 can be written as 4 and 5 tenths

6.2 -x represents difference of six and 2 tenths and a number

multiplied with 2 and four tenths

Greater than can be represented as not less than negative 4  and 5 tenths

The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths

The Answer is C. The difference of 6 and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths