Write the ratio 5/36 as a fraction in simplest form.
Use the slash key (/) to indicate a fraction.

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P=  £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the  worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

Answer:my uncle john told me D

Step-by-step explanation:Beacause john have a brain

Answer:

GUCCI GANG

Step-by-step explanation:

GUCCI GUCCCIII GAAAANNNGGGG

Answer:

x=-3 and x=4

Step-by-step explanation:

I assume you mean x^2 in the first part,

x^2 + 4x -9 = 5x +3

x^2 -x -12 =0

x          -4

x          +3

-----------------------

(x-4)(x+3) = x^2 -x -12 = 0

that gives us

x=4 and x=-3 are solutions

Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

Answer: 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]y=\sqrt{x-1} +4[/tex]

graph is shifted right 1 unit and 4 units up.

Answer:

3.25

Step-by-step explanation:

[tex]$\mathcal{PROCESS:}$[/tex]

[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]

To know the result of trees we will do the following steps...

[tex]200/5=?[/tex]

40 trees were planted

Answer:

41 Trees

Step-by-step explanation:

Answer:

y - 10 = -7 (x + 1)

Step-by-step explanation:

pont = (-1,10)     slope = -7

y - 10 = -7 (x + 1)

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Answer:

28units consumed in month

Step-by-step explanation:

20unit=20×3=60rs

now service charge +60rs=110

similary total paid=166

now 166-110=56

and 56/7=8unit

since total unit=28unit

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

[tex] 35.23 \times 3.02 = 106.3946 [/tex]

The result expressed in 2 decimal places is:

[tex] 106.3946 = 106.40 [/tex]  

Therefore, the exact value is 106.40

I hope it helps you!

Answer:

[tex]q=8.5[/tex]

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

[tex]\frac{AB}{BC}=\frac{3}{4}[/tex]

Substitute,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

Cross products,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

[tex](60)(4)=(10q+15)(3)\\\\240=30q+45[/tex]

Inverse operations,

[tex]240=30q+45\\\\195=30q\\\\8.5=q[/tex]

Answer:

See explanation

Step-by-step explanation:

Function A is not clear; I will use the following in place of function A

Function A:

[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]

[tex]y \to -1|\ 3|\ 5|\ 9[/tex]

Function B:

[tex]y = 2x + 4[/tex]

Required

Compare both functions

For linear functions, we often compare the slope and the y intercepts only.

Calculating the slope of function A, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,-1)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{3 - 1}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y

i.e.[tex](x,y) = (0,y)[/tex]

Using the slope formula, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]m = 2[/tex]

[tex](x_1,y_1) = (0,y)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]2 = \frac{3 - y}{3 - 0}[/tex]

[tex]2 = \frac{3 - y}{3}[/tex]

Multiply by 3

[tex]6 = 3 - y[/tex]

Collect like terms

[tex]y = 3 - 6[/tex]

[tex]y = -3[/tex]

So, for function A:

[tex]m = 2[/tex] -- slope

[tex]y = -3[/tex] --- y intercept

For function B

[tex]y = 2x + 4[/tex]

A linear function is represented as:

[tex]y = mx + b[/tex]

By comparison

[tex]m = 2[/tex] --- slope

[tex]b = 4[/tex] --- y intercept

By comparing the results of both functions, we have the following conclusion:

Functions A and B have the same slope (i.e. 2)

Function B has a greater y intercept (i.e. 4)

Step-by-step explanation:

here's the answer to your question

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]   (s is a side length)

24 = [tex]s^{2}[/tex]

[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]

[tex]\sqrt{24}[/tex] = s

[tex]\sqrt{(4)(6) }[/tex] = s

2[tex]\sqrt{6}[/tex] = s

Given:

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]

[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]

[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

Answer:

The length and width that maximize the area are:

W = 2*√8

L = 2*√8

Step-by-step explanation:

We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.

Remember that the area of a rectangle of length L  and width W, is:

A = L*W

You can see the image below to see how i will define the length and the width:

L = 2*x'

W = 2*y'

Where we have the relation:

4 = √(x'^2 + y'^2)

16 = x'^2 + y'^2

Now we can isolate one of the variables, for example, x'

16 - y'^2 = x^'2

√(16 - y'^2) = x'

Then we can write:

W = 2*y'

L = 2*√(16 - y'^2)

Then the area equation is:

A = 2*y'*2*√(16 - y'^2)

A = 4*y'*√(16 - y'^2)

If A > 1, like in our case, maximizing A is the same as maximizing A^2

Then if que square both sides:

A^2 = (4*y'*√(16 - y'^2))^2

      = 16*(y'^2)*(16 - y'^2)

      = 16*(y'^2)*16 - 16*y'^4

      = 256*(y'^2) - 16*y'^4

Now we can define:

u = y'^2

then the equation that we want to maximize is:

f(u) = 256*u - 16*u^2

to find the maximum, we need to evaluate in the zero of the derivative:

f'(u) = 256 - 2*16*u = 0

      u = -256/(-2*16) = 8

Then we have:

u = y'^2 = 8

solving for y'

y' = √8

And we know that:

x' = √(16 - y'^2) = √(16 - (√8)^2) = √8

And the dimensions was:

W = 2*y' = 2*√8

L = 2*y' = 2*√8

These are the dimensions that maximize the area.

Answer:

So the answer is 30%

Step-by-step explanation:

1. For 50 = 15 increase euros

2. For 100 = 15/50 x 100 = 30 increase in euros

3. 30/100 = 30%

OR....

1. Ten percent of 50 is 5.

2. 5x3= 15(increase in euros)

3. 10 percent three times which is equal to 30%.

Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

Answer:

150%

Step-by-step explanation:

15 / 10 =

1.5 =

150%

Answer:

$4920446.6202

Step-by-step explanation:

the formula for compound interest is: P(1+ r/n)^n*t

p= principle (the amount of money you invest/ start with)

r= the interest rate (which is the percentage in decimal)

n= the number of times its compounded per year (52 weeks per year)

t= the amount of time (usually in years)

now, you plug the numbers youre given into the formula:

93000(1+0.0819/52)^52*11

= $4920446.62402

hope this helps :)

Mile's account balance after 11 years will be $228,786.8

"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where A = Accrued amount (principal + interest)

P = Principal amount

r = interest rate as a decimal

R = interest rate as a percent

r = R/100

n = number of compounding periods

t = time in years"

For given question,

P = $93000,

t = 11 years

n = 52 (weekly compounding)

R = 8.19%

So, the interest rate in decimal would be,

[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]

Using the formula of compound interest,

[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]

Therefore, Mile's account balance after 11 years will be $228,786.8

Learn more about the compound interest here:

https://brainly.com/question/22979103

#SPJ2

Answer:

the families who use both radio and television is 44.