A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)

Answer:

3811.21

Step-by-step explanation:

volume of sphere is 4188.79 using the formula for the volume of a sphere.

volume of the box is=20x20x20=8000

8000-4188.79=3811.21

Answer:

(-1, -3)

Step-by-step explanation:

The given equations are:

[tex]-4x-7=y ...... (1)[/tex]

and

[tex]x^2 - 2x - 6 = y ....... (2)[/tex]

Equating (1) and (2):

[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]

The two values of x are repeating in nature i.e. x = -1

So, value of [tex]x[/tex] is -1.

Putting value of [tex]x[/tex] in equation (1):

[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]

The solution is represented as ([tex]x,y[/tex])

So, the solutions are :

(-1, -3)

Answer:

2

Step-by-step explanation:

give brainliest

Step-by-step explanation:

A polygon is a shape with at least three straight lines and angles

Answer:

$27.83

Step-by-step explanation:

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Answer:

The answer is 27.83

Step-by-step explanation:

Thank the person above me.

Answer: 30%

Step-by-step explanation:

1/5th of students = 1/5 x 40 = 8

If 4 more students join, they will be (8+4) 12 students

Percentage will be 12/40 x 100 = 30%

Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

Answer:

A ratio is when 2 values that come from related things are compared in the form of x:y

Answer:

comparison between things

Step-by-step explanation:

for example:

16 girls and 8 boys in a class room

the ratio would be 2:1 (girls:boys)

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

Answer:

see below

Step-by-step explanation:

$36/4oz  = $9 per oz

24/3oz = $ 8 per oz

$20/2oz  = # 10 per oz

Answer: [tex]-1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]2(P +1) + 3(P + 2 ) > 2[/tex]

Distribute 2 and 3

[tex]2P+2+3P+6>2[/tex]

Combine like terms;

[tex]5P+8>2[/tex]

Subtract 8

[tex]5P>2-8[/tex]

[tex]5P>-6[/tex]

Divide by 5

[tex]P>-\frac{6}{5}[/tex]

Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.

[tex]-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}[/tex]

When we do this, we can see that 5/5 = 1

[tex]-1-\frac{1}{5}=-1\frac{1}{5}[/tex]

Answer:

Area =28.27

Step-by-step explanation:

Answer:

The area of circle:

[tex]A \approx 28.27[/tex] [tex]m^2[/tex]

Step-by-step explanation:

To find the area of circle, you need this formula:

[tex]A = \pi r^2[/tex]

-After have the formula set up, use the given radius for the formula:

[tex]A = \pi 3^2[/tex]

-Then, you solve:

[tex]A = \pi \times 3^2[/tex]

[tex]A = \pi \times 9[/tex]

[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]

-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

[tex]4y+ y"x^2-4y'x = 0[/tex]

    ↓

[tex]F(x, y, y', y'') = 0[/tex]

Step-by-step explanation:

From the information given:

[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]

So;

[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]

∴

[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]

  ↓

[tex]F(x, y, y', y'') = 0[/tex]

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

Answer:

x = [tex]\frac{t(a+p)}{4}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )

a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )

t(a + p) = 4x ( divide both sides by 4 )

[tex]\frac{t(a+p)}{4}[/tex] = x

Answer:

The answer is 68 degrees Fahrenheit.

Step-by-step explanation:

The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.

So, first we calculate Celsius times 9/5.  20×9/5 = 36.

Then, we add 36 and 32 together.  36+32= 68

So, 68 is your answer.

Answer:

m = [tex]\frac{f+1}{7}[/tex]

Step-by-step explanation:

f = 4m + 3m -1

f = 7m - 1

Adding 1 to both sides

f+1 = 7m

Dividing both sides by 7

m = [tex]\frac{f+1}{7}[/tex]

Answer:

m= (f+3)/(f-4)

Step-by-step explanation:

It is not clear from the question, but I assume it is:

so the solution is:

Answer:

a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64

b) 7^4 = 7*7*7*7 = 2401

c) 3^2 + 2^3

= 9 + 8

= 17

d) 2^4 - 3^2

= 16 - 9

= 7

Answer:

D

Step-by-step explanation:

[tex]f(x)=3x+5 \\\\g(x)=x^2 \\\\(f-g)(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

Therefore, the correct answer is choice D. Hope this helps!

Answer:

188.4cm³

Step-by-step explanation:

Answer:

a) 3

b) -4

c) -1/3

d) -2

e) -4/3

Step-by-step explanation:

a) 6w=2  ,   w=6/2    , ie. w= 3

b) 6+w=2   ,w=2-6   , ie. w= -4

c) 6w+2= 0,  6w=  0-2 , 6w= -2 , w= -2/6, ie. w= -1/3

d) 6w+2= -10, 6w= -10-2,  6w= -12, w= -12/6 , ie. w= -2

e) 6w+2= 12w+10, 6w-12w = 10-2 ( here we interchanged the digits to get the variables or you can say the terms having variables in this case 'w' to the same side. hereby changing the sign from '+' to '-')

so

6w-12w = 10-2 ,-6w=8, w= -8/6, ie. w= -4/3

You can check your answers by substituting with the answers in place of the variable and check if the equation is solved.

Tell me if this was helpful

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

Find more information: https://brainly.com/question/4728821

Answer:

Its supposed to be x = s

like its in the picture

So we divide both sides by 4

we get t+2 / 4

That means the answer is C

Answer:

the correct answer for this question is c. s= t+2/4

source. edge.

Answer: $7.58/2=$3.79

Step-by-step explanation:

Answer: £2598.80

Step-by-step explanation:

Let those under 16 be x

Those over 16 be y

49 + y = 155

y = 155-49

y = 106 = over 16

for over 16, y * 18.60

= 106 * 18.60 = 1971.60

For under 16, x * 12.80

= 49 * 12.80 = 627.20

Answer:

10

Step-by-step explanation:

10x^2y^-2

10(-1)^2(-2)^2=10

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

Answer:

[tex]p = 43 \: \: \: degrees[/tex]

Answer A is correct

Step-by-step explanation:

[tex]90 + p = 133[/tex]

the sum of the exterior angles in a triangle is equal to the sum of opposite interior angles.

[tex]p = 133 - 90 \\ p =4 3 \: \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!